Single Best Answer MCQs for Sub-Topics of Topic 3: Quantitative Aptitude

Question 1. Find the ratio of 75 paise to $\textsf{₹}5$.

(A) $3 : 20$

(B) $15 : 1$

(C) $3 : 5$

(D) $5 : 3$

Question 2. The ratio of the number of boys to the number of girls in a class is $5 : 3$. If there are $40$ boys, what is the total number of students in the class?

(A) $64$

(B) $24$

(C) $60$

(D) $120$

Question 3. The ratio of ages of A and B is $4 : 5$. If the sum of their ages is $36$ years, what is B's age?

(A) $16$ years

(B) $20$ years

(C) $18$ years

(D) $24$ years

Question 4. If $A : B = 2 : 3$ and $B : C = 4 : 5$, find $A : B : C$.

(A) $8 : 12 : 15$

(B) $2 : 3 : 5$

(C) $6 : 7 : 8$

(D) $8 : 10 : 15$

Question 5. If $6$ pens cost $\textsf{₹}30$, what is the cost of $10$ pens?

(A) $\textsf{₹}40$

(B) $\textsf{₹}50$

(C) $\textsf{₹}60$

(D) $\textsf{₹}45$

Question 6. If $4$ men can do a piece of work in $12$ days, how many days will $6$ men take to do the same work (assuming they work at the same rate)?

(A) $8$ days

(B) $9$ days

(C) $18$ days

(D) $16$ days

Question 7. The ratio of incomes of two persons is $9 : 7$ and the ratio of their expenditures is $4 : 3$. If each saves $\textsf{₹}2000$ per month, what is the monthly income of the first person?

(A) $\textsf{₹}18000$

(B) $\textsf{₹}14000$

(C) $\textsf{₹}20000$

(D) $\textsf{₹}16000$

Question 8. A mixture contains milk and water in the ratio $5 : 1$. If $5$ litres of water are added to the mixture, the new ratio becomes $5 : 2$. What was the quantity of milk in the original mixture?

(A) $20$ litres

(B) $25$ litres

(C) $30$ litres

(D) $35$ litres

Question 9. The third proportional to $12$ and $30$ is:

(A) $25$

(B) $50$

(C) $75$

(D) $90$

Question 10. The mean proportional between $16$ and $4$ is:

(A) $8$

(B) $10$

(C) $12$

(D) $64$

Question 11. If $a : b = 3 : 4$, find the value of $(5a - 2b) : (5a + 2b)$.

(A) $7 : 23$

(B) $5 : 11$

(C) $3 : 7$

(D) $23 : 7$

Question 12. The ratio of the number of boys to the number of girls in a school is $3 : 2$. If there are $500$ students in the school, how many girls are there?

(A) $200$

(B) $300$

(C) $250$

(D) $350$

Question 13. If $15$ kgs of sugar cost $\textsf{₹}450$, what is the cost of $25$ kgs of sugar?

(A) $\textsf{₹}700$

(B) $\textsf{₹}750$

(C) $\textsf{₹}800$

(D) $\textsf{₹}850$

Question 14. If $36$ men can build a wall in $25$ days, how many days will $15$ men take to build the same wall?

(A) $50$ days

(B) $60$ days

(C) $72$ days

(D) $48$ days

Question 15. Divide $\textsf{₹}1200$ among A, B, and C in the ratio $2 : 3 : 5$.

(A) $\textsf{₹}200, \textsf{₹}300, \textsf{₹}700$

(B) $\textsf{₹}240, \textsf{₹}360, \textsf{₹}600$

(C) $\textsf{₹}300, \textsf{₹}400, \textsf{₹}500$

(D) $\textsf{₹}100, \textsf{₹}200, \textsf{₹}900$

Question 16. If the cost of $10$ pencils is $\textsf{₹}50$, what is the cost of a dozen pencils?

(A) $\textsf{₹}60$

(B) $\textsf{₹}55$

(C) $\textsf{₹}70$

(D) $\textsf{₹}75$

Question 17. The ratio of two numbers is $5 : 6$. If $8$ is subtracted from each number, the new ratio becomes $4 : 5$. What are the numbers?

(A) $40, 48$

(B) $30, 36$

(C) $50, 60$

(D) $35, 42$

Question 18. If $a : b = \frac{1}{2} : \frac{3}{8}$ and $b : c = \frac{1}{3} : \frac{5}{9}$, find $a : c$.

(A) $4 : 5$

(B) $5 : 4$

(C) $8 : 15$

(D) $15 : 8$

Question 19. $4$ men or $6$ women can do a piece of work in $20$ days. How long will $6$ men and $11$ women take to complete the same work?

(A) $4$ days

(B) $5$ days

(C) $6$ days

(D) $8$ days

Question 20. A car travels $165$ km in $3$ hours. How long will it take to travel $440$ km at the same speed?

(A) $6$ hours

(B) $7$ hours

(C) $8$ hours

(D) $9$ hours

Question 21. If the first, second, and fourth terms of a proportion are $6$, $18$, and $75$ respectively, what is the third term?

(A) $20$

(B) $25$

(C) $30$

(D) $35$

Question 22. The ratio of ages of A and B is $3:5$. After $10$ years, the ratio of their ages will be $5:7$. What is B's current age?

(A) $20$ years

(B) $25$ years

(C) $30$ years

(D) $35$ years

Question 1. If $x$ and $y$ are in direct variation, and $x=10$ when $y=5$, find $y$ when $x=18$.

(A) $8$

(B) $9$

(C) $10$

(D) $12$

Question 2. If $a$ and $b$ are in inverse variation, and $a=6$ when $b=8$, find $b$ when $a=12$.

(A) $4$

(B) $6$

(C) $16$

(D) $3$

Question 3. The cost of a certain number of identical items is directly proportional to the number of items. If $5$ items cost $\textsf{₹}125$, what is the cost of $9$ such items?

(A) $\textsf{₹}200$

(B) $\textsf{₹}225$

(C) $\textsf{₹}250$

(D) $\textsf{₹}275$

Question 4. The time taken to complete a job is inversely proportional to the number of workers. If $8$ workers can complete a job in $15$ days, how many days will $10$ workers take to complete the same job?

(A) $10$ days

(B) $12$ days

(C) $18.75$ days

(D) $20$ days

Question 5. If the fare charged for a journey is in direct proportion to the distance covered, and a journey of $150$ km costs $\textsf{₹}900$, what will be the fare for a journey of $250$ km?

(A) $\textsf{₹}1200$

(B) $\textsf{₹}1500$

(C) $\textsf{₹}1600$

(D) $\textsf{₹}1800$

Question 6. The speed of a vehicle is inversely proportional to the time taken to cover a fixed distance. If a car travels at $60$ km/hr and takes $4$ hours to cover a distance, how long will it take if it travels at $80$ km/hr?

(A) $3$ hours

(B) $3.5$ hours

(C) $4.5$ hours

(D) $5$ hours

Question 7. Which of the following is an example of direct variation?

(A) Number of workers and time taken for a job.

(B) Speed of a vehicle and time taken to cover a distance.

(C) Amount of work done and time taken (at a constant rate).

(D) Amount of petrol in a tank and distance covered by a car (constant mileage).

Question 8. Which of the following is an example of inverse variation?

(A) Area of a square and its side length.

(B) Perimeter of a square and its side length.

(C) Number of taps filling a tank and the time taken to fill it.

(D) Distance travelled and fuel consumed (constant mileage).

Question 9. If $y$ is directly proportional to the square of $x$, and $y=50$ when $x=5$, find $y$ when $x=8.

(A) $80$

(B) $100$

(C) $128$

(D) $160$

Question 10. If $p$ is inversely proportional to the cube of $q$, and $p=10$ when $q=2$, find $p$ when $q=4.

(A) $1.25$

(B) $2.5$

(C) $5$

(D) $20$

Question 11. A hostel has enough food for $120$ students for $15$ days. If $30$ more students join the hostel, for how many days will the food last?

(A) $10$ days

(B) $12$ days

(C) $18$ days

(D) $20$ days

Question 12. The intensity of light ($I$) from a source is inversely proportional to the square of the distance ($d$) from the source. If the intensity is $100$ units at a distance of $1$ meter, what is the intensity at a distance of $2$ meters?

(A) $25$ units

(B) $50$ units

(C) $200$ units

(D) $400$ units

Question 13. A train travels at a constant speed. The distance covered varies directly with time. If the train covers $210$ km in $3$ hours, how far will it travel in $5$ hours?

(A) $300$ km

(B) $350$ km

(C) $400$ km

(D) $450$ km

Question 14. The volume of a gas at a constant temperature is inversely proportional to the pressure. If the volume is $10$ litres at a pressure of $2 \text{ atm}$, what is the volume at a pressure of $5 \text{ atm}$?

(A) $2$ litres

(B) $4$ litres

(C) $25$ litres

(D) $50$ litres

Question 15. The statement "The force between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them" represents:

(A) Direct variation

(B) Inverse variation

(C) Combined variation

(D) Neither direct nor inverse variation

Question 16. If $z$ varies jointly as $x$ and $y$, and $z=24$ when $x=3$ and $y=4$, find $z$ when $x=5$ and $y=2$.

(A) $10$

(B) $20$

(C) $30$

(D) $40$

Question 17. If $A$ varies directly as $B$ and inversely as $C$, and $A=10$ when $B=5$ and $C=3$, find $A$ when $B=10$ and $C=6.

(A) $5$

(B) $10$

(C) $15$

(D) $20$

Question 18. The strength of a wire of given length varies inversely as the square of its radius. If the strength of a wire with radius $2$ mm is $100$ units, what is the strength of a wire with radius $1$ mm?

(A) $50$ units

(B) $200$ units

(C) $400$ units

(D) $100$ units

Question 19. If the variables $P$ and $Q$ are related such that $P \cdot Q = k$, where $k$ is a non-zero constant, then $P$ and $Q$ are in:

(A) Direct variation

(B) Inverse variation

(C) Joint variation

(D) Neither variation

Question 20. If $y \propto x$ and $y=3$ when $x=12$, find the value of the constant of variation.

(A) $4$

(B) $\frac{1}{4}$

(C) $36$

(D) $\frac{1}{36}$

Question 21. If the area of a circle varies directly as the square of its radius, and the area is $154 \text{ cm}^2$ when the radius is $7 \text{ cm}$, find the area when the radius is $14 \text{ cm}$. (Use $\pi = \frac{22}{7}$)

(A) $308 \text{ cm}^2$

(B) $616 \text{ cm}^2$

(C) $462 \text{ cm}^2$

(D) $770 \text{ cm}^2$

Question 22. The number of rotations ($N$) of a bicycle wheel is inversely proportional to the radius ($r$) of the wheel for a fixed distance. If a wheel with radius $35$ cm makes $1000$ rotations, how many rotations will a wheel with radius $20$ cm make over the same distance?

(A) $571$

(B) $1750$

(C) $1200$

(D) $800$

Question 1. What is $25\%$ of $400$? Relevant information has been provided below the question.

(A) $50$

(B) $100$

(C) $150$

(D) $200$

Question 2. Express the fraction $\frac{3}{4}$ as a percentage.

(A) $25\%$

(B) $50\%$

(C) $75\%$

(D) $100\%$

Question 3. Express $0.6$ as a percentage.

(A) $6\%$

(B) $0.6\%$

(C) $60\%$

(D) $600\%$

Question 4. What is $15\%$ of $300$?

(A) $30$

(B) $45$

(C) $60$

(D) $90$

Question 5. If $20\%$ of a number is $80$, what is the number?

(A) $16$

(B) $400$

(C) $160$

(D) $4000$

Question 6. A student scored $350$ marks out of a maximum of $500$ marks. What is the percentage score?

(A) $60\%$

(B) $70\%$

(C) $75\%$

(D) $80\%$

Question 7. The population of a town increased from $10000$ to $12000$. What is the percentage increase?

(A) $10\%$

(B) $15\%$

(C) $20\%$

(D) $25\%$

Question 8. A price decreased from $\textsf{₹}200$ to $\textsf{₹}180$. What is the percentage decrease?

(A) $10\%$

(B) $20\%$

(C) $25\%$

(D) $15\%$

Question 9. If a salary is first increased by $20\%$ and then decreased by $20\%$, what is the net percentage change?

(A) $4\%$ increase

(B) $4\%$ decrease

(C) No change

(D) $10\%$ decrease

Question 10. A is $25\%$ more than B. B is what percentage less than A?

(A) $20\%$

(B) $25\%$

(C) $30\%$

(D) $15\%$

Question 11. The price of sugar increases by $20\%$. By what percentage must a housewife reduce her consumption of sugar so that expenditure on sugar remains the same?

(A) $16 \frac{2}{3} \%$

(B) $20\%$

(C) $25\%$

(D) $33 \frac{1}{3} \%$

Question 12. In an exam, $60\%$ of students passed in Maths and $70\%$ passed in Science. If $40\%$ passed in both subjects, what percentage of students failed in both subjects?

(A) $10\%$

(B) $20\%$

(C) $30\%$

(D) $40\%$

Question 13. What is $0.05$ as a percentage?

(A) $0.005\%$

(B) $0.5\%$

(C) $5\%$

(D) $50\%$

Question 14. If the length of a rectangle is increased by $10\%$ and the width is decreased by $10\%$, what is the percentage change in its area?

(A) $1\%$ increase

(B) $1\%$ decrease

(C) $0\%$ change

(D) $2\%$ decrease

Question 15. In an election, Candidate A got $40\%$ of the total votes and Candidate B got the remaining votes. If the total number of votes cast was $10000$, how many votes did B get?

(A) $4000$

(B) $5000$

(C) $6000$

(D) $7000$

Question 16. A person's income is $\textsf{₹}25000$ per month. If his expenditure is $75\%$ of his income, what is his saving per month?

(A) $\textsf{₹}5000$

(B) $\textsf{₹}6250$

(C) $\textsf{₹}7500$

(D) $\textsf{₹}18750$

Question 17. If the price of petrol increases by $10\%$, what percentage of consumption should be reduced to keep the expenditure same?

(A) $9 \frac{1}{11} \%$

(B) $10\%$

(C) $11\%$

(D) $11 \frac{1}{9} \%$

Question 18. A number is increased by $20\%$ and then decreased by $25\%$. What is the net percentage change?

(A) $5\%$ increase

(B) $5\%$ decrease

(C) $10\%$ decrease

(D) $10\%$ increase

Question 19. If the price of an article is reduced by $20\%$, by how much percentage should the new price be increased to restore the original price?

(A) $20\%$

(B) $25\%$

(C) $16 \frac{2}{3} \%$

(D) $33 \frac{1}{3} \%$

Question 20. In a school, $80\%$ of the students passed in English, $85\%$ passed in Mathematics, and $75\%$ passed in both. If $40$ students failed in both subjects, what is the total number of students in the school?

(A) $400$

(B) $500$

(C) $600$

(D) $800$

Question 21. The value of a machine depreciates by $10\%$ annually. If its current value is $\textsf{₹}50000$, what will be its value after $2$ years?

(A) $\textsf{₹}40000$

(B) $\textsf{₹}40500$

(C) $\textsf{₹}45000$

(D) $\textsf{₹}49500$

Question 22. A student needs to score $40\%$ marks to pass an exam. If he gets $120$ marks and fails by $30$ marks, what are the maximum marks for the exam?

(A) $300$

(B) $375$

(C) $400$

(D) $500$

Question 1. If the Cost Price of an article is $\textsf{₹}500$ and the Selling Price is $\textsf{₹}600$, find the profit or loss amount.

(A) Profit $\textsf{₹}100$

(B) Loss $\textsf{₹}100$

(C) Profit $\textsf{₹}50$

(D) Loss $\textsf{₹}50$

Question 2. If the Cost Price of an article is $\textsf{₹}800$ and it is sold at a profit of $\textsf{₹}160$, what is the Selling Price?

(A) $\textsf{₹}640$

(B) $\textsf{₹}960$

(C) $\textsf{₹}880$

(D) $\textsf{₹}720$

Question 3. Calculate the profit percentage if CP = $\textsf{₹}400$ and SP = $\textsf{₹}500$.

(A) $20\%$

(B) $25\%$

(C) $16 \frac{2}{3} \%$

(D) $30\%$

Question 4. Calculate the loss percentage if CP = $\textsf{₹}600$ and SP = $\textsf{₹}540$.

(A) $10\%$

(B) $15\%$

(C) $20\%$

(D) $8 \frac{1}{3} \%$

Question 5. An item is marked at $\textsf{₹}1000$. A discount of $20\%$ is offered. What is the Selling Price?

(A) $\textsf{₹}800$

(B) $\textsf{₹}980$

(C) $\textsf{₹}1200$

(D) $\textsf{₹}900$

Question 6. An article is sold for $\textsf{₹}1200$ at a profit of $20\%$. What was the Cost Price?

(A) $\textsf{₹}1000$

(B) $\textsf{₹}1100$

(C) $\textsf{₹}960$

(D) $\textsf{₹}1440$

Question 7. An article is sold for $\textsf{₹}450$ at a loss of $10\%$. What was the Cost Price?

(A) $\textsf{₹}400$

(B) $\textsf{₹}495$

(C) $\textsf{₹}500$

(D) $\textsf{₹}550$

Question 8. A shopkeeper buys an article for $\textsf{₹}800$ and marks it up by $25\%$. He then offers a discount of $10\%$ on the marked price. What is his profit percentage?

(A) $12.5\%$

(B) $15\%$

(C) $17.5\%$

(D) $20\%$

Question 9. If the marked price of an article is $\textsf{₹}1500$ and it is sold for $\textsf{₹}1350$, what is the discount percentage?

(A) $5\%$

(B) $10\%$

(C) $15\%$

(D) $20\%$

Question 10. An article is sold at a profit of $10\%$. If the Cost Price and Selling Price are both increased by $\textsf{₹}200$, the profit percentage becomes $8 \frac{1}{3} \%$. What is the original Cost Price?

(A) $\textsf{₹}1000$

(B) $\textsf{₹}1200$

(C) $\textsf{₹}1500$

(D) $\textsf{₹}1800$

Question 11. By selling an article for $\textsf{₹}720$, a man loses $10\%$. At what price should he sell it to gain $5\%$?

(A) $\textsf{₹}800$

(B) $\textsf{₹}840$

(C) $\textsf{₹}850$

(D) $\textsf{₹}860$

Question 12. A tradesman allows a discount of $15\%$ on the marked price and still gains $19\%$. What is the marked price if the Cost Price is $\textsf{₹}500$?

(A) $\textsf{₹}600$

(B) $\textsf{₹}700$

(C) $\textsf{₹}800$

(D) $\textsf{₹}750$

Question 13. A dishonest shopkeeper sells goods at Cost Price but uses a weight of $960$ grams for $1$ kg. Find his gain percentage.

(A) $4 \%$

(B) $4 \frac{1}{6} \%$

(C) $4.16 \%$

(D) $4.2 \%$

Question 14. An article is sold at a discount of $10\%$ on its marked price. The selling price is $\textsf{₹}900$. If the shopkeeper made a profit of $20\%$, what was the Cost Price of the article?

(A) $\textsf{₹}750$

(B) $\textsf{₹}800$

(C) $\textsf{₹}850$

(D) $\textsf{₹}720$

Question 15. A seller marks his goods at $30\%$ above the cost price. He then allows a discount of $10\%$. What is his net profit percentage?

(A) $17\%$

(B) $20\%$

(C) $18\%$

(D) $23\%$

Question 16. A person buys an item for $\textsf{₹}1000$. He wants to make a profit of $20\%$ after giving a discount of $10\%$. What should be the marked price?

(A) $\textsf{₹}1200$

(B) $\textsf{₹}1300$

(C) $\textsf{₹}1333.33$

(D) $\textsf{₹}1400$

Question 17. The Cost Price of $15$ articles is the same as the Selling Price of $10$ articles. Find the profit percentage.

(A) $30\%$

(B) $40\%$

(C) $50\%$

(D) $60\%$

Question 18. A shopkeeper sells two TVs at the same price. On one, he gains $20\%$, and on the other, he loses $20\%$. What is his net gain or loss percentage on the whole transaction?

(A) $4\%$ gain

(B) $4\%$ loss

(C) $10\%$ gain

(D) No loss, no gain

Question 19. The marked price of an article is $20\%$ above the Cost Price. If a discount of $10\%$ is given on the marked price, what is the profit percentage?

(A) $8\%$

(B) $10\%$

(C) $12\%$

(D) $15\%$

Question 20. A seller sells a product at $\textsf{₹}500$. If the profit is $25\%$, what is the Cost Price?

(A) $\textsf{₹}400$

(B) $\textsf{₹}450$

(C) $\textsf{₹}480$

(D) $\textsf{₹}375$

Question 21. A discount series of $20\%$ and $10\%$ is equivalent to a single discount of:

(A) $28\%$

(B) $30\%$

(C) $29\%$

(D) $32\%$

Question 22. A dealer professes to sell his goods at cost price, but he uses a false weight of $900$ grams for $1$ kg. What is his gain percentage?

(A) $10\%$

(B) $11 \frac{1}{9} \%$

(C) $9 \frac{1}{11} \%$

(D) $11\%$

Question 1. Calculate Simple Interest on $\textsf{₹}10000$ at $8\%$ per annum for $3$ years.

(A) $\textsf{₹}2000$

(B) $\textsf{₹}2400$

(C) $\textsf{₹}3000$

(D) $\textsf{₹}2500$

Question 2. Find the amount for Simple Interest on $\textsf{₹}5000$ at $6\%$ per annum for $4$ years.

(A) $\textsf{₹}1200$

(B) $\textsf{₹}6200$

(C) $\textsf{₹}6400$

(D) $\textsf{₹}7400$

Question 3. A sum of money doubles itself in $10$ years at Simple Interest. What is the rate of interest per annum?

(A) $5\%$

(B) $10\%$

(C) $15\%$

(D) $20\%$

Question 4. In how many years will a sum of money triple itself at Simple Interest at $12\%$ per annum?

(A) $16 \frac{2}{3}$ years

(B) $8 \frac{1}{3}$ years

(C) $24$ years

(D) $25$ years

Question 5. Calculate the Compound Interest on $\textsf{₹}20000$ at $10\%$ per annum compounded annually for $2$ years.

(A) $\textsf{₹}4000$

(B) $\textsf{₹}4200$

(C) $\textsf{₹}4400$

(D) $\textsf{₹}4600$

Question 6. Find the amount for Compound Interest on $\textsf{₹}10000$ at $12\%$ per annum compounded annually for $3$ years.

(A) $\textsf{₹}13310$

(B) $\textsf{₹}13000$

(C) $\textsf{₹}14049.28$

(D) $\textsf{₹}13500$

Question 7. What is the difference between Simple Interest and Compound Interest on $\textsf{₹}5000$ at $8\%$ per annum for $2$ years?

(A) $\textsf{₹}32$

(B) $\textsf{₹}40$

(C) $\textsf{₹}50$

(D) $\textsf{₹}64$

Question 8. Calculate the Compound Interest on $\textsf{₹}10000$ at $10\%$ per annum for $1$ year, compounded half-yearly.

(A) $\textsf{₹}1000$

(B) $\textsf{₹}1025$

(C) $\textsf{₹}1050$

(D) $\textsf{₹}1100$

Question 9. The population of a town increases at the rate of $5\%$ per annum. If the current population is $100000$, what will be its population after $2$ years?

(A) $110000$

(B) $110250$

(C) $105000$

(D) $115000$

Question 10. The value of a machine depreciates at the rate of $10\%$ per annum. If its present value is $\textsf{₹}200000$, what will be its value after $3$ years?

(A) $\textsf{₹}145800$

(B) $\textsf{₹}150000$

(C) $\textsf{₹}162000$

(D) $\textsf{₹}170000$

Question 11. A sum of money at Compound Interest doubles itself in $5$ years. In how many years will it become eight times itself?

(A) $10$ years

(B) $15$ years

(C) $20$ years

(D) $25$ years

Question 12. What is the rate of Simple Interest if a sum of money becomes $4$ times itself in $20$ years?

(A) $10\%$

(B) $15\%$

(C) $20\%$

(D) $25\%$

Question 13. The difference between SI and CI on a certain sum for $2$ years at $10\%$ per annum is $\textsf{₹}50$. Find the sum.

(A) $\textsf{₹}5000$

(B) $\textsf{₹}6000$

(C) $\textsf{₹}5500$

(D) $\textsf{₹}4500$

Question 14. A sum of $\textsf{₹}8000$ is borrowed at $10\%$ per annum Compound Interest. What is the amount to be paid after $2 \frac{1}{2}$ years if interest is compounded annually?

(A) $\textsf{₹}10400$

(B) $\textsf{₹}10648$

(C) $\textsf{₹}10816$

(D) $\textsf{₹}11000$

Question 15. At what rate per annum will $\textsf{₹}2000$ amount to $\textsf{₹}2420$ in $2$ years at Compound Interest?

(A) $5\%$

(B) $8\%$

(C) $10\%$

(D) $11\%$

Question 16. A sum of money is invested at Compound Interest. It amounts to $\textsf{₹}800$ in $3$ years and $\textsf{₹}840$ in $4$ years. The rate of interest per annum is:

(A) $5\%$

(B) $6\%$

(C) $8\%$

(D) $10\%$

Question 17. What is the present value of $\textsf{₹}1210$ due in $2$ years at $10\%$ per annum Compound Interest?

(A) $\textsf{₹}1000$

(B) $\textsf{₹}1050$

(C) $\textsf{₹}1100$

(D) $\textsf{₹}1150$

Question 18. A sum of $\textsf{₹}16000$ is invested at $10\%$ per annum. Find the Compound Interest for $1$ year compounded quarterly.

(A) $\textsf{₹}1600$

(B) $\textsf{₹}1640$

(C) $\textsf{₹}1681$

(D) $\textsf{₹}1700$

Question 19. The difference between Simple Interest and Compound Interest on a sum for $3$ years at $10\%$ per annum is $\textsf{₹}93$. Find the sum.

(A) $\textsf{₹}3000$

(B) $\textsf{₹}3300$

(C) $\textsf{₹}3500$

(D) $\textsf{₹}4000$

Question 20. A sum of money doubles at Simple Interest in $8$ years. At the same rate, it will become $3$ times in:

(A) $12$ years

(B) $16$ years

(C) $24$ years

(D) $32$ years

Question 21. A certain sum amounts to $\textsf{₹}720$ in $2$ years and $\textsf{₹}792$ in $3$ years at Simple Interest. The sum is:

(A) $\textsf{₹}600$

(B) $\textsf{₹}620$

(C) $\textsf{₹}650$

(D) $\textsf{₹}700$

Question 22. What is the effective annual rate of interest corresponding to a nominal rate of $6\%$ per annum compounded half-yearly?

(A) $6.06\%$

(B) $6.09\%$

(C) $6.12\%$

(D) $6.18\%$

Question 1. The price of an article is $\textsf{₹}1000$. If GST is charged at $18\%$, what is the final price of the article?

(A) $\textsf{₹}1018$

(B) $\textsf{₹}1180$

(C) $\textsf{₹}1800$

(D) $\textsf{₹}1080$

Question 2. A customer pays $\textsf{₹}2360$ for an article, which includes $18\%$ GST. What is the price of the article before GST?

(A) $\textsf{₹}2000$

(B) $\textsf{₹}2100$

(C) $\textsf{₹}2200$

(D) $\textsf{₹}2300$

Question 3. An item is sold for $\textsf{₹}5900$ including $18\%$ GST. If the shopkeeper makes a profit of $25\%$ on the original price (before GST), what is the Cost Price of the item?

(A) $\textsf{₹}4000$

(B) $\textsf{₹}4500$

(C) $\textsf{₹}5000$

(D) $\textsf{₹}4720$

Question 4. What does CGST stand for in GST?

(A) Central Goods and Services Tax

(B) Corporation Goods and Services Tax

(C) Combined Goods and Services Tax

(D) Consumer Goods and Services Tax

Question 5. In an intra-state sale (within the same state) with a total GST rate of $12\%$, how is the tax distributed between CGST and SGST?

(A) $12\%$ CGST, $0\%$ SGST

(B) $0\%$ CGST, $12\%$ SGST

(C) $6\%$ CGST, $6\%$ SGST

(D) $8\%$ CGST, $4\%$ SGST

Question 6. If an article's base price is $\textsf{₹}8000$ and the GST rate is $28\%$, what is the amount of GST charged?

(A) $\textsf{₹}224$

(B) $\textsf{₹}2240$

(C) $\textsf{₹}8224$

(D) $\textsf{₹}10240$

Question 7. Which of the following taxes was subsumed under GST?

(A) Income Tax

(B) Professional Tax

(C) Sales Tax

(D) Property Tax

Question 8. An item is marked for $\textsf{₹}2000$ and a discount of $10\%$ is given. If GST is applicable at $18\%$ on the discounted price, what is the final selling price?

(A) $\textsf{₹}1800$

(B) $\textsf{₹}2124$

(C) $\textsf{₹}1940$

(D) $\textsf{₹}2160$

Question 9. Value Added Tax (VAT) was a tax on the value added at each stage of production and distribution. How does GST differ primarily?

(A) GST is a direct tax, VAT was indirect.

(B) GST is a consumption-based tax levied on supply, VAT was production-based.

(C) VAT was a central tax, GST is state tax.

(D) VAT had only one rate, GST has multiple rates.

Question 10. IGST is applicable on which type of transaction?

(A) Intra-state supply

(B) Inter-state supply

(C) Supply within Union Territories

(D) Import of goods only

Question 11. A product costs $\textsf{₹}1500$ (before tax). If the applicable GST rate is $12\%$, what is the amount of SGST if it is an intra-state sale?

(A) $\textsf{₹}90$

(B) $\textsf{₹}180$

(C) $\textsf{₹}150$

(D) $\textsf{₹}360$

Question 12. An electronic gadget is sold for $\textsf{₹}17700$ including $18\%$ GST. What is the original price before GST?

(A) $\textsf{₹}15000$

(B) $\textsf{₹}16000$

(C) $\textsf{₹}15500$

(D) $\textsf{₹}16500$

Question 13. A retailer bought an item for $\textsf{₹}1000$ (exclusive of tax) and sold it for $\textsf{₹}1200$ (exclusive of tax). If the GST rate is $18\%$, what is the amount of GST collected from the customer?

(A) $\textsf{₹}180$

(B) $\textsf{₹}216$

(C) $\textsf{₹}200$

(D) $\textsf{₹}360$

Question 14. The concept of Input Tax Credit (ITC) under GST means:

(A) Tax paid on output can be used to offset tax on input.

(B) Tax paid on input can be used to offset tax on output.

(C) No tax is levied on inputs.

(D) Government pays a subsidy on inputs.

Question 15. A service is provided for $\textsf{₹}5000$. If the GST rate on the service is $12\%$, what is the total amount charged to the customer?

(A) $\textsf{₹}5060$

(B) $\textsf{₹}5120$

(C) $\textsf{₹}5600$

(D) $\textsf{₹}6200$

Question 16. If the price of an item including $5\%$ Sales Tax was $\textsf{₹}420$, what was the original price before tax?

(A) $\textsf{₹}400$

(B) $\textsf{₹}410$

(C) $\textsf{₹}399

(D) $\textsf{₹}405

Question 17. In an inter-state transaction, which component of GST is applicable?

(A) CGST

(B) SGST

(C) UTGST

(D) IGST

Question 18. A shopkeeper sells a book for $\textsf{₹}600$. If he charges $10\%$ Sales Tax, what is the total amount paid by the customer?

(A) $\textsf{₹}600$

(B) $\textsf{₹}610$

(C) $\textsf{₹}660$

(D) $\textsf{₹}700$

Question 19. The main advantage of GST over the previous indirect tax regime is:

(A) It simplifies the tax structure.

(B) It eliminates cascading of taxes.

(C) It creates a common national market.

(D) All of the above

Question 20. A dealer buys goods for $\textsf{₹}20000$ and sells them for $\textsf{₹}25000$. If the GST rate is $18\%$, and assuming the dealer can claim full ITC, what is the net GST payable by the dealer on this transaction?

(A) $\textsf{₹}900$

(B) $\textsf{₹}4500$

(C) $\textsf{₹}3600$

(D) $\textsf{₹}0$

Question 21. Which of the following is NOT a component of GST?

(A) CGST

(B) SGST

(C) PST (Provincial Sales Tax)

(D) IGST

Question 22. A television is purchased for $\textsf{₹}30000$ plus $28\%$ GST. What is the total price including tax?

(A) $\textsf{₹}30280$

(B) $\textsf{₹}32800$

(C) $\textsf{₹}38400$

(D) $\textsf{₹}40000$

Question 1. A can do a piece of work in $10$ days. B can do the same work in $15$ days. How long will they take to do the work together?

(A) $5$ days

(B) $6$ days

(C) $8$ days

(D) $12.5$ days

Question 2. A and B together can do a work in $12$ days. A alone can do it in $20$ days. How long will B alone take to do the work?

(A) $30$ days

(B) $25$ days

(C) $24$ days

(D) $35$ days

Question 3. A is twice as good a workman as B and together they complete a piece of work in $18$ days. In how many days will A alone complete the work?

(A) $27$ days

(B) $36$ days

(C) $54$ days

(D) $12$ days

Question 4. A, B, and C can complete a work in $10$, $12$, and $15$ days respectively. If they work together, in how many days will the work be completed?

(A) $4$ days

(B) $5$ days

(C) $6$ days

(D) $8$ days

Question 5. A and B work together for $5$ days and complete $50\%$ of the work. A then leaves, and B finishes the remaining work in $10$ days. In how many days can A alone complete the work?

(A) $10$ days

(B) $15$ days

(C) $20$ days

(D) $30$ days

Question 6. A can do a piece of work in $24$ days. If B is $60\%$ more efficient than A, how many days would B take to do the same work?

(A) $15$ days

(B) $16$ days

(C) $14 \frac{2}{5}$ days

(D) $18$ days

Question 7. $10$ men can complete a work in $8$ days. $12$ women can complete the same work in $10$ days. In how many days can $6$ men and $6$ women together complete the work?

(A) $5 \frac{1}{3}$ days

(B) $4 \frac{1}{2}$ days

(C) $6 \frac{2}{3}$ days

(D) $8$ days

Question 8. Pipe A can fill a tank in $10$ hours, and Pipe B can fill it in $15$ hours. If both pipes are opened together, how long will it take to fill the tank?

(A) $5$ hours

(B) $6$ hours

(C) $8$ hours

(D) $12.5$ hours

Question 9. Pipe A can fill a tank in $12$ minutes and Pipe B can empty it in $18$ minutes. If both are opened together when the tank is empty, how long will it take to fill the tank?

(A) $30$ minutes

(B) $36$ minutes

(C) $24$ minutes

(D) $45$ minutes

Question 10. Three pipes A, B, and C can fill a tank in $6$, $8$, and $24$ hours respectively. If all pipes are opened together, in how many hours will the tank be filled?

(A) $2$ hours

(B) $3$ hours

(C) $4$ hours

(D) $5$ hours

Question 11. $4$ men and $6$ boys can do a piece of work in $8$ days, while $6$ men and $8$ boys can do the same work in $6$ days. In how many days can $1$ man alone do the work?

(A) $24$ days

(B) $48$ days

(C) $36$ days

(D) $72$ days

Question 12. A tank is filled by two pipes A and B in $20$ minutes and $30$ minutes respectively. When the tank is full, it is emptied by a third pipe C in $40$ minutes. If all three pipes are opened, how long will it take to fill the tank?

(A) $17 \frac{1}{7}$ minutes

(B) $18$ minutes

(C) $20$ minutes

(D) $15 \frac{1}{7}$ minutes

Question 13. A and B can do a work in $8$ days. B and C can do it in $12$ days. C and A can do it in $16$ days. In how many days can C alone complete the work?

(A) $20$ days

(B) $24$ days

(C) $22 \frac{2}{3}$ days

(D) $48$ days

Question 14. A can do a work in $15$ days and B in $20$ days. They work together for $4$ days, then A leaves. B finishes the remaining work. How many days did B work in total?

(A) $8$ days

(B) $10$ days

(C) $12$ days

(D) $16$ days

Question 15. Two pipes P and Q can fill a cistern in $10$ hours and $12$ hours respectively. An outlet pipe R can empty the cistern in $8$ hours. If all three pipes are opened simultaneously, the cistern will be filled in:

(A) $20$ hours

(B) $30$ hours

(C) $40$ hours

(D) $120$ hours

Question 16. A and B can do a work in $12$ days. B and C can do the same work in $15$ days. C and A can do the same work in $20$ days. In how many days can A, B, and C together complete the work?

(A) $5$ days

(B) $10$ days

(C) $15$ days

(D) $20$ days

Question 17. If $5$ men working $8$ hours a day can complete a work in $10$ days, in how many days can $8$ men working $5$ hours a day complete the same work?

(A) $8$ days

(B) $10$ days

(C) $12$ days

(D) $15$ days

Question 18. A, B and C can do a work in $20$, $30$ and $60$ days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

(A) $12$ days

(B) $15$ days

(C) $16$ days

(D) $18$ days

Question 19. A cistern is normally filled in $8$ hours but takes $2$ hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in:

(A) $20$ hours

(B) $30$ hours

(C) $40$ hours

(D) $16$ hours

Question 20. $3$ men or $5$ women can reap a field in $20$ days. How long will $5$ men and $6$ women take to reap the same field?

(A) $7 \frac{1}{2}$ days

(B) $10$ days

(C) $11 \frac{1}{2}$ days

(D) $12 \frac{1}{2}$ days

Question 21. A works twice as fast as B. If B can complete a work in $12$ days, in how many days can A and B together complete the work?

(A) $4$ days

(B) $6$ days

(C) $8$ days

(D) $9$ days

Question 22. Two pipes A and B can fill a tank in $15$ hours and $20$ hours respectively, while a third pipe C can empty it in $25$ hours. If all three pipes are opened together, the time taken to fill the tank is:

(A) $10 \frac{10}{11}$ hours

(B) $12$ hours

(C) $15$ hours

(D) $18 \frac{2}{11}$ hours

Question 1. A car travels a distance of $200$ km in $4$ hours. What is its speed?

(A) $40$ km/hr

(B) $50$ km/hr

(C) $60$ km/hr

(D) $80$ km/hr

Question 2. How long will a train travelling at $60$ km/hr take to cover a distance of $300$ km?

(A) $4$ hours

(B) $5$ hours

(C) $6$ hours

(D) $5.5$ hours

Question 3. Convert a speed of $15$ m/s into km/hr.

(A) $45$ km/hr

(B) $50$ km/hr

(C) $54$ km/hr

(D) $60$ km/hr

Question 4. Convert a speed of $90$ km/hr into m/s.

(A) $20$ m/s

(B) $25$ m/s

(C) $30$ m/s

(D) $15$ m/s

Question 5. A person travels from city A to city B at a speed of $40$ km/hr and returns from city B to city A at a speed of $60$ km/hr. What is the average speed for the entire journey?

(A) $50$ km/hr

(B) $48$ km/hr

(C) $45$ km/hr

(D) $55$ km/hr

Question 6. Two cars are moving in the same direction at speeds of $50$ km/hr and $60$ km/hr. What is their relative speed?

(A) $10$ km/hr

(B) $110$ km/hr

(C) $55$ km/hr

(D) $-10$ km/hr

Question 7. Two trains are moving in opposite directions at speeds of $70$ km/hr and $80$ km/hr. What is their relative speed?

(A) $10$ km/hr

(B) $150$ km/hr

(C) $100$ km/hr

(D) $105$ km/hr

Question 8. A train $120$ meters long is travelling at $60$ km/hr. How long will it take to cross a pole?

(A) $6$ seconds

(B) $7.2$ seconds

(C) $8$ seconds

(D) $10$ seconds

Question 9. A train $150$ meters long crosses a bridge $250$ meters long in $20$ seconds. What is the speed of the train?

(A) $20$ m/s

(B) $25$ m/s

(C) $30$ m/s

(D) $35$ m/s

Question 10. A boat's speed in still water is $10$ km/hr and the speed of the stream is $2$ km/hr. What is the boat's speed upstream?

(A) $8$ km/hr

(B) $12$ km/hr

(C) $10$ km/hr

(D) $6$ km/hr

Question 11. A boat's speed in still water is $15$ km/hr and the speed of the stream is $3$ km/hr. What is the boat's speed downstream?

(A) $12$ km/hr

(B) $18$ km/hr

(C) $15$ km/hr

(D) $21$ km/hr

Question 12. A boat goes $30$ km upstream and $44$ km downstream in $10$ hours. Also, it goes $40$ km upstream and $55$ km downstream in $13$ hours. What is the speed of the stream?

(A) $2$ km/hr

(B) $3$ km/hr

(C) $4$ km/hr

(D) $5$ km/hr

Question 13. In a $100$-meter race, A beats B by $10$ meters and C by $13$ meters. In a race of $180$ meters, B will beat C by:

(A) $4$ meters

(B) $4.5$ meters

(C) $5$ meters

(D) $6$ meters

Question 14. Two trains of lengths $100$ m and $120$ m are running in the same direction at speeds of $72$ km/hr and $54$ km/hr. In how much time will the first train cross the second train?

(A) $40$ seconds

(B) $44$ seconds

(C) $50$ seconds

(D) $55$ seconds

Question 15. A man rows downstream $32$ km and $14$ km upstream, taking $6$ hours each time. The speed of the stream is:

(A) $1$ km/hr

(B) $1.5$ km/hr

(C) $2$ km/hr

(D) $2.5$ km/hr

Question 16. A train moving at $75$ km/hr overtakes a man walking at $6$ km/hr in the same direction in $18$ seconds. The length of the train is:

(A) $325$ meters

(B) $330$ meters

(C) $345$ meters

(D) $350$ meters

Question 17. Excluding stoppages, the speed of a bus is $54$ km/hr and including stoppages, it is $45$ km/hr. For how many minutes does the bus stop per hour?

(A) $9$ minutes

(B) $10$ minutes

(C) $12$ minutes

(D) $15$ minutes

Question 18. A man travelled a distance of $60$ km in $7$ hours, partly by foot at $6$ km/hr and partly by bicycle at $10$ km/hr. What is the distance travelled on foot?

(A) $15$ km

(B) $18$ km

(C) $20$ km

(D) $25$ km

Question 19. In a $500$m race, P starts $100$m ahead of Q. If P and Q run at speeds of $10$m/s and $12$m/s respectively, who wins the race and by what distance?

(A) P wins by $20$m

(B) Q wins by $20$m

(C) Q wins by $10$m

(D) P wins by $10$m

Question 20. A car covers a certain distance at $40$ km/hr. If it had travelled at $30$ km/hr, it would have taken $1$ hour longer. What is the distance?

(A) $100$ km

(B) $120$ km

(C) $150$ km

(D) $180$ km

Question 21. A train passes a stationary man in $3$ seconds and a platform $100$m long in $5$ seconds. What is the length of the train?

(A) $100$ m

(B) $150$ m

(C) $200$ m

(D) $50$ m

Question 22. The speed of a boat in still water is $5$ km/hr. It travels $12$ km downstream and returns upstream in a total of $5$ hours. What is the speed of the stream?

(A) $1$ km/hr

(B) $1.5$ km/hr

(C) $2$ km/hr

(D) $2.5$ km/hr

Question 1. Find the average of the following numbers: $10, 20, 30, 40, 50$.

(A) $25$

(B) $30$

(C) $35$

(D) $40$

Question 2. The average of the first $5$ prime numbers is:

(A) $5.6$

(B) $6.2$

(C) $7.2$

(D) $7.8$

Question 3. The average of $5$ numbers is $27$. If one number is excluded, the average becomes $25$. What is the excluded number?

(A) $25$

(B) $27$

(C) $35$

(D) $30$

Question 4. The average age of $10$ students is $15$ years. If the teacher's age is included, the average age increases by $1$ year. What is the teacher's age?

(A) $25$ years

(B) $26$ years

(C) $27$ years

(D) $28$ years

Question 5. The average weight of a class of $20$ students is $40$ kg. If a new student whose weight is $50$ kg joins the class, what is the new average weight?

(A) $40.5$ kg

(B) $41$ kg

(C) $41.5$ kg

(D) $42$ kg

Question 6. The average of $7$ numbers is $30$. If each number is increased by $3$, the new average will be:

(A) $30$

(B) $33$

(C) $27$

(D) $36$

Question 7. The average of $5$ observations is $10$. If each observation is multiplied by $2$, the new average is:

(A) $10$

(B) $12$

(C) $20$

(D) $50$

Question 8. The average marks of $30$ students in a class is $85$. If the average marks of the top $10$ students is $90$, what is the average marks of the remaining $20$ students?

(A) $82.5$

(B) $80$

(C) $83$

(D) $84$

Question 9. The average of three numbers is $24$. The first number is twice the second and the second number is thrice the third. What is the third number?

(A) $6$

(B) $8$

(C) $12$

(D) $18$

Question 10. The average temperature for the first $4$ days of a week was $30^\circ C$. The average temperature for the entire week was $31^\circ C$. What was the average temperature for the last $3$ days?

(A) $31^\circ C$

(B) $32^\circ C$

(C) $32.33^\circ C$

(D) $33.67^\circ C$

Question 11. The average of $11$ results is $50$. If the average of the first $6$ results is $49$ and that of the last $6$ results is $52$, what is the $6$th result?

(A) $50$

(B) $51$

(C) $52$

(D) $53$

Question 12. In a cricket match, a batsman scored runs as follows in $5$ innings: $50, 65, 45, 70, 30$. What is his average score?

(A) $48$

(B) $50$

(C) $52$

(D) $55$

Question 13. The average weight of $6$ persons increases by $2$ kg when a new person comes in, instead of one of them weighing $60$ kg. What is the weight of the new person?

(A) $62$ kg

(B) $68$ kg

(C) $70$ kg

(D) $72$ kg

Question 14. A batsman has an average score of $40$ runs in $10$ innings. How many runs must he score in the next inning to increase his average score by $2$ runs?

(A) $60$

(B) $62$

(C) $65$

(D) $70$

Question 15. The average age of a husband, wife, and their child $3$ years ago was $27$ years. The average age of the wife and the child now is $20$ years. What is the husband's current age?

(A) $30$ years

(B) $35$ years

(C) $40$ years

(D) $45$ years

Question 16. The average of $5$ consecutive odd numbers is $15$. What is the largest number?

(A) $15$

(B) $17$

(C) $19$

(D) $21$

Question 17. The average monthly income of A and B is $\textsf{₹}5050$. The average monthly income of B and C is $\textsf{₹}6250$. The average monthly income of C and A is $\textsf{₹}5200$. What is the monthly income of A?

(A) $\textsf{₹}4000$

(B) $\textsf{₹}4050$

(C) $\textsf{₹}4200$

(D) $\textsf{₹}4250$

Question 18. A man buys $5$ kg of rice at $\textsf{₹}60/\text{kg}$, $10$ kg at $\textsf{₹}50/\text{kg}$, and $15$ kg at $\textsf{₹}40/\text{kg}$. What is the average cost of rice per kg?

(A) $\textsf{₹}50$

(B) $\textsf{₹}48.33$

(C) $\textsf{₹}46.67$

(D) $\textsf{₹}45$

Question 19. The average score of a class of $50$ students in an exam is $60$. If the average score of boys is $55$ and that of girls is $70$, what is the number of boys in the class?

(A) $20$

(B) $30$

(C) $25$

(D) $40$

Question 20. The average of $10$ numbers is $20$. If each number is decreased by $5$, what is the new average?

(A) $15$

(B) $20$

(C) $25$

(D) $10$

Question 21. The average age of A, B, and C is $84$ years. D joins them and the average age of A, B, C, and D becomes $80$ years. What is D's age?

(A) $68$ years

(B) $72$ years

(C) $76$ years

(D) $80$ years

Question 22. The average monthly expenditure of a family for the first $3$ months is $\textsf{₹}2200$, for the next $4$ months is $\textsf{₹}2550$, and for the last $5$ months is $\textsf{₹}3120$. If the family saves $\textsf{₹}12600$ during the year, what is their average monthly income?

(A) $\textsf{₹}3500$

(B) $\textsf{₹}3600$

(C) $\textsf{₹}3700$

(D) $\textsf{₹}4000$

Question 1. What is the angle between the hour hand and the minute hand at $3:30$?

(A) $75^\circ$

(B) $60^\circ$

(C) $90^\circ$

(D) $105^\circ$

Question 2. What is the angle between the hour hand and the minute hand at $6:00$?

(A) $0^\circ$

(B) $90^\circ$

(C) $180^\circ$

(D) $120^\circ$

Question 3. At what time between $4$ and $5$ o'clock will the hands of a clock be together?

(A) $4: 20$

(B) $4: 21 \frac{9}{11}$

(C) $4: 22 \frac{8}{11}$

(D) $4: 24 \frac{5}{11}$

Question 4. At what time between $7$ and $8$ o'clock will the hands of a clock be in a straight line but not together (opposite to each other)?

(A) $7: 5 \frac{5}{11}$

(B) $7: 5$

(C) $7: 6 \frac{4}{11}$

(D) $7: 7 \frac{3}{11}$

Question 5. At what time between $2$ and $3$ o'clock will the hands of a clock be at right angles?

(A) $2: 27 \frac{3}{11}$

(B) $2: 32 \frac{8}{11}$

(C) $2: 27 \frac{3}{11}$ and $2: 32 \frac{8}{11}$

(D) $2: 10 \frac{10}{11}$ and $2: 43 \frac{7}{11}$

Question 6. How many times do the hands of a clock coincide in $12$ hours?

(A) $10$

(B) $11$

(C) $12$

(D) $22$

Question 7. How many times are the hands of a clock at right angles in $12$ hours?

(A) $22$

(B) $24$

(C) $11$

(D) $12$

Question 8. How many times are the hands of a clock in a straight line (coincide or opposite) in $12$ hours?

(A) $11$

(B) $22$

(C) $12$

(D) $24$

Question 9. A clock gains $5$ minutes in an hour. If it is set right at $12$ noon, what time will it show at $3$ PM the next day?

(A) $3:00$ PM

(B) $3:25$ PM

(C) $3:30$ PM

(D) $3:35$ PM

Question 10. A clock loses $10$ minutes in an hour. If it is set right at $12$ noon, what time will it show at $12$ noon the next day?

(A) $10:00$ AM

(B) $10:24$ AM

(C) $10:48$ AM

(D) $11:00$ AM

Question 11. The angle covered by the minute hand in $20$ minutes is:

(A) $100^\circ$

(B) $120^\circ$

(C) $150^\circ$

(D) $180^\circ$

Question 12. The angle covered by the hour hand in $2$ hours is:

(A) $30^\circ$

(B) $45^\circ$

(C) $60^\circ$

(D) $90^\circ$

Question 13. At what time between $1$ and $2$ o'clock are the hands of a clock $40$ degrees apart?

(A) $1: 10$ and $1: 54 \frac{6}{11}$

(B) $1: 10 \frac{10}{11}$ and $1: 54 \frac{6}{11}$

(C) $1: 10 \frac{10}{11}$ and $1: 50 \frac{10}{11}$

(D) $1: 10$ and $1: 50$

Question 14. A clock gains $2$ minutes in every hour. It is set correct at $7$ AM. What is the correct time when the faulty clock shows $1$ PM the same day?

(A) $12:52$ PM

(B) $12:54$ PM

(C) $12:50$ PM

(D) $12:48$ PM

Question 15. A clock loses $5$ minutes for every $24$ hours. It is set correct at $10$ AM on Monday. What time will it show when the correct time is $10$ AM on Wednesday?

(A) $9:50$ AM

(B) $9:40$ AM

(C) $9:30$ AM

(D) $9:20$ AM

Question 16. The minute hand of a clock overtakes the hour hand at intervals of $65$ minutes of the correct time. How much does the clock gain or lose per day?

(A) Gains $10 \frac{10}{11}$ minutes

(B) Loses $10 \frac{10}{11}$ minutes

(C) Gains $10$ minutes

(D) Loses $10$ minutes

Question 17. At what time between $5$ and $6$ o'clock are the hands of a clock $30$ degrees apart?

(A) $5: 21 \frac{9}{11}$ and $5: 32 \frac{8}{11}$

(B) $5: 20$ and $5: 25$

(C) $5: 21 \frac{9}{11}$ and $5: 30$

(D) $5: 20$ and $5: 32 \frac{8}{11}$

Question 18. How many times in $24$ hours are the hands of a clock exactly $180$ degrees apart?

(A) $22$

(B) $24$

(C) $11$

(D) $12$

Question 19. The time shown on a clock is $4:15$. If the clock is reflected in a mirror, what is the time shown by the mirror image?

(A) $7:45$

(B) $8:15$

(C) $7:15$

(D) $8:45$

Question 20. At what time between $9$ and $10$ o'clock will the hands of a clock be in a straight line facing opposite directions?

(A) $9: 15 \frac{11}{11}$

(B) $9: 16 \frac{4}{11}$

(C) $9: 16 \frac{10}{11}$

(D) $9: 17 \frac{3}{11}$

Question 21. A clock gains $15$ minutes per day. If it is set right at $12$ noon, what time will it show at $4:00$ AM the next day?

(A) $4:00$ AM

(B) $4:05$ AM

(C) $4:10$ AM

(D) $4:12.5$ AM

Question 22. How many degrees does the minute hand move in $5$ minutes?

(A) $30^\circ$

(B) $36^\circ$

(C) $40^\circ$

(D) $45^\circ$

Question 1. How many odd days are there in $100$ years?

(A) $0$

(B) $1$

(C) $3$

(D) $5$

Question 2. Which of the following is a leap year?

(A) $1800$

(B) $1900$

(C) $2000$

(D) $2100$

Question 3. How many odd days are there in $365$ days?

(A) $0$

(B) $1$

(C) $2$

(D) $7$

Question 4. If today is Monday, what day will it be after $61$ days?

(A) Wednesday

(B) Thursday

(C) Friday

(D) Saturday

Question 5. What day of the week was $15$th August $1947$?

(A) Monday

(B) Tuesday

(C) Thursday

(D) Friday

Question 6. What day of the week was $26$th January $1950$?

(A) Thursday

(B) Friday

(C) Saturday

(D) Sunday

Question 7. If $1$st January $2001$ was a Monday, what day of the week was $1$st January $2002$?

(A) Monday

(B) Tuesday

(C) Wednesday

(D) Sunday

Question 8. If $10$th January $2003$ was a Friday, what day of the week was $10$th January $2004$?

(A) Saturday

(B) Sunday

(C) Monday

(D) Tuesday

Question 9. Which year will have the same calendar as the year $2007$?

(A) $2014$

(B) $2016$

(C) $2017$

(D) $2018$

Question 10. Which year will have the same calendar as the year $2016$?

(A) $2022$

(B) $2040$

(C) $2044$

(D) $2048$

Question 11. How many leap years are there from $1601$ to $1700$?

(A) $24$

(B) $25$

(C) $26$

(D) $27$

Question 12. If $1$st February $2004$ was a Sunday, what day of the week was $1$st February $2005$?

(A) Monday

(B) Tuesday

(C) Wednesday

(D) Saturday

Question 13. Today is Tuesday. What will be the day after $100$ days?

(A) Sunday

(B) Monday

(C) Tuesday

(D) Wednesday

Question 14. How many odd days are there in $400$ years?

(A) $0$

(B) $1$

(C) $5$

(D) $6$

Question 15. What day of the week was $1$st January $0001$?

(A) Monday

(B) Tuesday

(C) Sunday

(D) Friday

Question 16. If $1$st January $2013$ was Tuesday, what day of the week was $1$st January $2014$?

(A) Wednesday

(B) Thursday

(C) Friday

(D) Saturday

Question 17. The calendar for the year $2005$ is the same as for the year:

(A) $2011$

(B) $2012$

(C) $2013$

(D) $2014$

Question 18. The number of odd days in a leap year is:

(A) $1$

(B) $2$

(C) $3$

(D) $0$

Question 19. If February $1$st in a non-leap year is a Friday, what day of the week will be March $1$st in the same year?

(A) Monday

(B) Tuesday

(C) Wednesday

(D) Friday

Question 20. What is the last day of a century year that is not a leap year?

(A) Sunday

(B) Monday

(C) Wednesday

(D) Friday

Question 21. On $8$th February $2005$, it was Tuesday. What was the day of the week on $8$th February $2004$?

(A) Sunday

(B) Monday

(C) Tuesday

(D) Wednesday

Question 22. Which of the following years does NOT have $29$ days in February?

(A) $2004$

(B) $2012$

(C) $2000$

(D) $2018$

Question 1. Six friends P, Q, R, S, T, U are sitting in a row facing North. R is second to the right of Q. S is at the extreme left end and is third to the left of T. Q is not sitting at an extreme end. Who is sitting to the immediate right of Q?

(A) R

(B) U

(C) P

(D) S

Question 2. Seven people A, B, C, D, E, F, G are sitting in a circle facing the center. D is second to the right of G, who is to the immediate right of C. B is to the immediate left of F. E is not an immediate neighbour of D or F. Who is sitting to the immediate right of E?

(A) A

(B) B

(C) D

(D) G

Question 3. Five boys A, B, C, D, E are sitting in a row. A is between C and D. B is to the right of D. E is between B and C. Which boy is sitting in the middle?

(A) A

(B) B

(C) C

(D) E

Question 4. Six girls G1, G2, G3, G4, G5, G6 are sitting around a circular table facing outwards. G2 is sitting two places to the left of G5. G4 is sitting to the immediate right of G2. G1 is sitting opposite to G4. G3 is not an immediate neighbour of G5. Who is sitting to the immediate left of G6?

(A) G1

(B) G3

(C) G4

(D) G5

Question 5. Eight friends A, B, C, D, E, F, G, H are sitting around a square table in such a way that four of them sit at the corners while four sit in the middle of the sides. Those sitting at the corners face the center and those sitting in the middle of the sides face outside. G sits at a corner and is an immediate neighbour of A. D sits in the middle of a side and faces A. C sits opposite to D. B is not an immediate neighbour of A or D. H sits in the middle of a side. E is not an immediate neighbour of G. Where does F sit?

(A) At a corner, facing center

(B) In the middle of a side, facing outside

(C) Immediate right of A

(D) Opposite to B

Question 6. Five persons A, B, C, D, E are sitting in a row. C is between A and D. B is to the immediate right of D. E is to the immediate left of A. Who is at the rightmost end?

(A) A

(B) B

(C) D

(D) E

Question 7. Six persons A, B, C, D, E, F are sitting around a round table facing the center. A is sitting to the left of B. F is sitting between C and E. D is sitting between A and F. Who is sitting between B and D?

(A) C

(B) E

(C) F

(D) None of the above

Question 8. In a queue, A is $15$th from the front and B is $20$th from the back. If there are $10$ persons between A and B, what is the total number of persons in the queue?

(A) $35$

(B) $45$

(C) $40$

(D) $46$

Question 9. Five friends A, B, C, D, E are sitting in a row facing North. C is third to the left of B. A is between C and D. E is to the right of B. Who is at the extreme left end?

(A) A

(B) C

(C) D

(D) E

Question 10. Eight persons P, Q, R, S, T, U, V, W are sitting around a square table, $4$ at corners and $4$ in the middle of the sides. Those at the corners face outside, and those in the middle face inside. R is in the middle of a side. P is not an immediate neighbour of R. T sits at a corner and is opposite to R. W is to the immediate right of P. V is not an immediate neighbour of T or R. S is not an immediate neighbour of T. U is not an immediate neighbour of V. Who is sitting between S and V?

(A) P

(B) Q

(C) T

(D) U

Question 11. Six persons A, B, C, D, E, F are sitting in a row facing North. D is fourth to the left of F. C is second to the right of D. A is second to the right of C. E is not an immediate neighbour of A or D. Who is at the immediate left of A?

(A) B

(B) C

(C) E

(D) D

Question 12. Seven friends A, B, C, D, E, F, G are sitting in a straight line facing North. C is to the immediate left of D. B is at one of the extreme ends. E is the immediate neighbour of A and D. G is between E and F. Who is at the other extreme end?

(A) A

(B) C

(C) F

(D) G

Question 13. Eight people A, B, C, D, E, F, G, H are sitting around a circular table facing the center. B is sitting between G and H. C is sitting third to the right of B. F is sitting second to the right of C. A is sitting second to the right of E. D is not an immediate neighbour of B or F. Who is sitting between A and C?

(A) E

(B) G

(C) D

(D) H

Question 14. Twelve people are sitting in two parallel rows, $6$ in each row. Row 1: P, Q, R, S, T, U facing South. Row 2: A, B, C, D, E, F facing North. P is second to the left of T, who faces F. R is at one of the extreme ends. S is to the immediate right of P. A is second to the right of E. The person facing S is second to the left of B. C is an immediate neighbour of the person facing T. Q is second to the left of U. Who faces R?

(A) A

(B) B

(C) C

(D) D

Question 15. Six persons are sitting in a row. A is to the right of B. C is between A and D. D is to the right of E. Who is second from the right end?

(A) A

(B) B

(C) C

(D) D

Question 16. Five buildings V, W, X, Y, Z are in a row facing East. W is to the North of V. Z is to the South of V. X is to the East of W. Y is to the West of Z. Which building is in the South-Eastern direction from W?

(A) V

(B) X

(C) Y

(D) Z

Question 17. Six persons A, B, C, D, E, F are standing in a circle. B is between F and C. A is between E and D. F is to the left of D. Who is between A and F?

(A) B

(B) C

(C) D

(D) E

Question 18. In a class of $30$ students, A is $12$th from the top and B is $18$th from the bottom. How many students are there between A and B?

(A) $0$

(B) $1$

(C) $2$

(D) $3$

Question 19. Five people are sitting in a row. P is to the left of Q, but on the right of S. R is on the right of Q, but on the left of T. Who is sitting exactly in the middle?

(A) P

(B) Q

(C) R

(D) S

Question 20. Four friends A, B, C, D are sitting around a square table, one at each corner, facing the center. A is to the immediate right of B. C is opposite to B. Where is D sitting?

(A) Opposite to A

(B) To the immediate left of A

(C) To the immediate right of C

(D) Between A and C

Question 21. In a row of girls, Rina is $10$th from the left and Tina is $15$th from the right. If they interchange their positions, Rina becomes $12$th from the left. How many girls are there in the row?

(A) $25$

(B) $26$

(C) $27$

(D) $28$

Question 22. Six persons A, B, C, D, E, F are sitting in two parallel rows of three persons each, facing each other. A is opposite E. B is not at the end of any row. C is to the immediate right of F. D is opposite C. Who is opposite B?

(A) C

(B) D

(C) F

(D) A

Question 1. In what ratio must rice at $\textsf{₹}60/\text{kg}$ be mixed with rice at $\textsf{₹}80/\text{kg}$ to get a mixture worth $\textsf{₹}65/\text{kg}$?

(A) $3 : 1$

(B) $1 : 3$

(C) $2 : 5$

(D) $5 : 2$

Question 2. A sum of $\textsf{₹}1500$ is divided among A, B, and C such that A gets $\textsf{₹}200$ more than B, and B gets $\textsf{₹}100$ more than C. What is C's share?

(A) $\textsf{₹}400$

(B) $\textsf{₹}300$

(C) $\textsf{₹}500$

(D) $\textsf{₹}600$

Question 3. The population of a village is $10000$. It increases by $10\%$ in the first year and decreases by $20\%$ in the second year. What is the population at the end of two years?

(A) $8800$

(B) $9000$

(C) $9200$

(D) $9500$

Question 4. A and B started a business investing $\textsf{₹}10000$ and $\textsf{₹}15000$ respectively. After $6$ months, C joined them with an investment of $\textsf{₹}20000$. If the total profit at the end of the year is $\textsf{₹}27000$, what is A's share of the profit?

(A) $\textsf{₹}6000$

(B) $\textsf{₹}7500$

(C) $\textsf{₹}13500$

(D) $\textsf{₹}9000$

Question 5. The ratio of the number of men and women in a village is $5 : 3$. If $1000$ men leave the village, the ratio becomes $4 : 3$. What was the original number of women in the village?

(A) $3000$

(B) $4000$

(C) $5000$

(D) $6000$

Question 6. A can complete a work in $20$ days and B in $30$ days. They work together for $10$ days. What fraction of the work is left?

(A) $1/6$

(B) $1/5$

(C) $1/4$

(D) $1/3$

Question 7. The average age of $10$ persons increased by $0.5$ years when two new persons aged $21$ and $25$ years replaced two persons. What is the sum of the ages of the two persons who were replaced?

(A) $46$ years

(B) $48$ years

(C) $41$ years

(D) $51$ years

Question 8. A sum of money at simple interest amounts to $\textsf{₹}815$ in $3$ years and to $\textsf{₹}854$ in $4$ years. The sum is:

(A) $\textsf{₹}650$

(B) $\textsf{₹}690$

(C) $\textsf{₹}700$

(D) $\textsf{₹}720$

Question 9. How much water must be added to $40$ litres of milk containing $10\%$ water to make the percentage of water in the new mixture $20\%$?

(A) $4$ litres

(B) $5$ litres

(C) $6$ litres

(D) $8$ litres

Question 10. A shopkeeper buys an article for $\textsf{₹}600$. He marks it $20\%$ above the cost price. He gives a discount such that he makes a profit of $10\%$. What is the discount percentage?

(A) $10\%$

(B) $8 \frac{1}{3} \%$

(C) $12.5 \%$

(D) $9 \frac{1}{11} \%$

Question 11. Two pipes A and B can fill a tank in $15$ minutes and $20$ minutes respectively. Both pipes are opened together, but after $4$ minutes, pipe A is turned off. How much more time will B take to fill the remaining tank?

(A) $10$ minutes

(B) $12$ minutes

(C) $14$ minutes

(D) $16$ minutes

Question 12. A train travels at $40$ km/hr and a man walks at $5$ km/hr in the same direction. The train crosses the man in $40$ seconds. The length of the train is:

(A) $350$ m

(B) $388 \frac{8}{9}$ m

(C) $400$ m

(D) $444$ m

Question 13. A sum of $\textsf{₹}12600$ is invested in two parts at $15\%$ per annum simple interest. If the interest on the first part for $2$ years is equal to the interest on the second part for $4$ years, what is the second part?

(A) $\textsf{₹}4200$

(B) $\textsf{₹}4800$

(C) $\textsf{₹}6000$

(D) $\textsf{₹}8400$

Question 14. A man sells an article at a profit of $20\%$. If he had bought it at $10\%$ less and sold it for $\textsf{₹}18$ more, he would have gained $30\%$. The cost price of the article is:

(A) $\textsf{₹}600$

(B) $\textsf{₹}540$

(C) $\textsf{₹}480$

(D) $\textsf{₹}500$

Question 15. A bag contains $\textsf{₹}180$ in the form of $\textsf{₹}1$, $50$ paise, and $25$ paise coins in the ratio of $2 : 3 : 4$. What is the number of $50$ paise coins?

(A) $60$

(B) $120$

(C) $180$

(D) $240$

Question 16. The ratio of milk and water in a $60$ litre mixture is $2 : 1$. How much water must be added to make the ratio $1 : 2$?

(A) $30$ litres

(B) $40$ litres

(C) $50$ litres

(D) $60$ litres

Question 17. A man rows downstream a distance of $15$ km in $3$ hours and upstream a distance of $9$ km in $3$ hours. The speed of the man in still water is:

(A) $3$ km/hr

(B) $4$ km/hr

(C) $5$ km/hr

(D) $6$ km/hr

Question 18. If the cost of production of an article is increased by $20\%$, and the selling price is fixed to yield a profit of $25\%$ on the original cost of production, what is the new profit percentage on the new cost of production?

(A) $4.16 \%$

(B) $5\%$

(C) $20 \%$

(D) $25 \%$

Question 19. The average of $5$ numbers is $40$. If two numbers $30$ and $50$ are removed, what is the average of the remaining numbers?

(A) $30$

(B) $40$

(C) $45$

(D) $50$

Question 20. A sum of $\textsf{₹}1000$ is lent at $5\%$ per annum Simple Interest. Another sum is lent at $8\%$ per annum Simple Interest. If the total interest earned on both sums for $2$ years is $\textsf{₹}160$, what is the second sum?

(A) $\textsf{₹}500$

(B) $\textsf{₹}600$

(C) $\textsf{₹}800$

(D) $\textsf{₹}1000$

Question 21. If A's salary is $20\%$ more than B's salary, and B's salary is $10\%$ less than C's salary, by what percentage is A's salary more than C's salary?

(A) $8\%$

(B) $10\%$

(C) $12\%$

(D) $10.8\%$

Question 22. A train travelling at $90$ km/hr is stopped by brakes which produce a retardation of $0.5$ m/s$^2$. How far does the train travel before coming to rest?

(A) $625$ m

(B) $600$ m

(C) $562.5$ m

(D) $500$ m