Case Study / Scenario-Based MCQs for Sub-Topics of Topic 3: Quantitative Aptitude

Question 1. A recipe requires milk and water in the ratio of $3:2$. If you want to make 15 litres of the mixture, how much milk do you need?

(A) 6 litres

(B) 9 litres

(C) 10 litres

(D) 5 litres

Question 2. A car travels 120 km on 8 litres of petrol. Using the unitary method, how much distance can it cover on 12 litres of petrol?

(A) 180 km

(B) 160 km

(C) 200 km

(D) 150 km

Question 3. The ratio of the number of male employees to female employees in a company is $7:5$. If there are 210 male employees, what is the total number of employees in the company?

(A) 150

(B) 300

(C) 360

(D) 400

Question 4. A sum of $\textsf{₹}1800$ is to be divided among A, B, and C in the ratio $2:3:4$. How much will B receive?

(A) $\textsf{₹}400$

(B) $\textsf{₹}600$

(C) $\textsf{₹}800$

(D) $\textsf{₹}500$

Question 5. The ratio of the prices of two bikes is $4:5$. If the price of the first bike is $\textsf{₹}80000$, what is the price of the second bike?

(A) $\textsf{₹}90000$

(B) $\textsf{₹}100000$

(C) $\textsf{₹}120000$

(D) $\textsf{₹}75000$

Question 6. If 8 workers can build a wall in 15 days, how many days will it take for 12 workers to build the same wall, assuming they work at the same rate?

(A) 10 days

(B) 12 days

(C) 20 days

(D) 9 days

Question 7. The ratio of current ages of A and B is $5:4$. If A's current age is 25 years, what was B's age 5 years ago?

(A) 20 years

(B) 15 years

(C) 25 years

(D) 16 years

Question 8. A mixture contains acid and water in the ratio $4:3$. If 6 litres of water is added to the mixture, the ratio of acid to water becomes $8:7$. What was the original quantity of acid in the mixture?

(A) 16 litres

(B) 20 litres

(C) 24 litres

(D) 28 litres

Question 9. The cost of painting a wall is directly proportional to its area. If a wall of area $50 \text{ m}^2$ costs $\textsf{₹}7500$ to paint, what will be the cost of painting a wall of area $80 \text{ m}^2$?

(A) $\textsf{₹}10000$

(B) $\textsf{₹}12000$

(C) $\textsf{₹}15000$

(D) $\textsf{₹}13500$

Question 10. Three numbers are in the ratio $3:5:7$, and their sum is 105. What is the largest number?

(A) 21

(B) 35

(C) 49

(D) 42

Question 11. If the ratio of two numbers is $2:3$ and their difference is 15, what are the numbers?

(A) 30, 45

(B) 15, 30

(C) 45, 60

(D) 20, 35

Question 12. A map is drawn to a scale of $1:10000$. If the distance between two points on the map is 5 cm, what is the actual distance between the points on the ground?

(A) 500 m

(B) 5 km

(C) 50 m

(D) 5000 km

Question 1. The cost of fabric is directly proportional to its length. If 5 meters of fabric cost $\textsf{₹}400$, what is the cost of 12 meters of the same fabric?

(A) $\textsf{₹}900$

(B) $\textsf{₹}960$

(C) $\textsf{₹}1000$

(D) $\textsf{₹}850$

Question 2. The time taken to travel a certain distance is inversely proportional to the speed. If a car travels at 50 km/hr and takes 4 hours to cover a distance, how long will it take if it travels at 80 km/hr?

(A) 2 hours

(B) 2.5 hours

(C) 3 hours

(D) 3.5 hours

Question 3. The number of days needed to build a road is inversely proportional to the number of workers. If 15 workers can build a road in 10 days, how many workers are needed to build the same road in 6 days?

(A) 20

(B) 25

(C) 18

(D) 30

Question 4. The volume of a gas is directly proportional to its temperature (at constant pressure). If the volume is 10 litres at $300\text{ K}$, what is the volume at $360\text{ K}$?

(A) 12 litres

(B) 15 litres

(C) 18 litres

(D) 11 litres

Question 5. The pressure exerted by a gas is inversely proportional to the volume it occupies (at constant temperature). If a gas occupies 5 litres at a pressure of 3 atmospheres, what volume will it occupy at a pressure of 2 atmospheres?

(A) 7.5 litres

(B) 6 litres

(C) 8 litres

(D) 10 litres

Question 6. The amount of work done is directly proportional to the number of hours worked. If a machine does 150 units of work in 3 hours, how many units of work can it do in 7 hours?

(A) 300 units

(B) 350 units

(C) 400 units

(D) 450 units

Question 7. If $y$ varies directly as the square of $x$, and $y=72$ when $x=6$, find the constant of variation.

(A) 2

(B) 3

(C) 1/2

(D) 1/3

Question 8. If the intensity of a sound source varies inversely as the square of the distance from the source, and the intensity is 100 units at 1 meter, what is the intensity at 4 meters?

(A) 6.25 units

(B) 12.5 units

(C) 25 units

(D) 50 units

Question 9. The electrical resistance of a wire is directly proportional to its length and inversely proportional to the square of its radius. If the resistance of a wire of length 10m and radius 1mm is $5 \Omega$, what is the resistance of a wire of length 20m and radius 2mm?

(A) $2.5 \Omega$

(B) $5 \Omega$

(C) $10 \Omega$

(D) $20 \Omega$

Question 10. A group of students planned a trip. The cost of the trip is inversely proportional to the number of students. If 20 students join, the cost per student is $\textsf{₹}8000$. If 25 students join, what is the cost per student?

(A) $\textsf{₹}6000$

(B) $\textsf{₹}6400$

(C) $\textsf{₹}7000$

(D) $\textsf{₹}7500$

Question 1. In a class of 50 students, 30 are girls. What percentage of the students are boys?

(A) 30%

(B) 40%

(C) 50%

(D) 60%

Question 2. A fruit seller had 200 kgs of apples. He sold 75% of them. How many kgs of apples are left with him?

(A) 50 kgs

(B) 75 kgs

(C) 100 kgs

(D) 150 kgs

Question 3. A person spends 60% of his income and saves $\textsf{₹}12000$ per month. What is his monthly income?

(A) $\textsf{₹}20000$

(B) $\textsf{₹}30000$

(C) $\textsf{₹}40000$

(D) $\textsf{₹}18000$

Question 4. The price of a TV set was $\textsf{₹}20000$. It was decreased by 15% during a sale. What is the new price of the TV set?

(A) $\textsf{₹}17000$

(B) $\textsf{₹}18000$

(C) $\textsf{₹}16000$

(D) $\textsf{₹}19000$

Question 5. A candidate secured 40% of the votes in an election and was defeated by another candidate by 300 votes. If there were only two candidates, find the total number of votes cast.

(A) 1000

(B) 1200

(C) 1500

(D) 1800

Question 6. The price of petrol increased by 10%. By what percentage must a consumer reduce the consumption of petrol so that the expenditure on petrol remains unchanged?

(A) 10%

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

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

(D) 9%

Question 7. In an exam, 35% of students failed in Science and 45% failed in Maths. If 20% failed in both, what percentage of students passed in both subjects?

(A) 40%

(B) 50%

(C) 60%

(D) 30%

Question 8. The population of a town increased by 10% in the first year and decreased by 5% in the second year. If the present population is 55000, what was the population 2 years ago?

(A) 50000

(B) 52000

(C) 53000

(D) 48000

Question 9. A shopkeeper gives a 20% discount on the marked price. If the marked price is $\textsf{₹}1500$, what is the selling price?

(A) $\textsf{₹}1200$

(B) $\textsf{₹}1300$

(C) $\textsf{₹}1100$

(D) $\textsf{₹}1400$

Question 10. What is 15% of 15% of 300?

(A) 6.75

(B) 45

(C) 67.5

(D) 4.5

Question 1. A shopkeeper bought a cycle for $\textsf{₹}3000$ and sold it for $\textsf{₹}3600$. Calculate the profit percentage.

(A) 10%

(B) 15%

(C) 20%

(D) 25%

Question 2. A vendor bought oranges at 10 for $\textsf{₹}25$ and sold them at 8 for $\textsf{₹}25$. Find his gain or loss percentage.

(A) 20% loss

(B) 25% gain

(C) 20% gain

(D) 25% loss

Question 3. By selling a watch for $\textsf{₹}990$, a shopkeeper incurs a loss of 10%. What was the cost price of the watch?

(A) $\textsf{₹}900$

(B) $\textsf{₹}1000$

(C) $\textsf{₹}1100$

(D) $\textsf{₹}1089

Question 4. An item is marked 40% above the cost price. If a discount of 20% is given on the marked price, find the overall profit or loss percentage.

(A) 12% profit

(B) 12% loss

(C) 20% profit

(D) 8% profit

Question 5. A trader allows a discount of 15% on the marked price. How much above the cost price must he mark his goods to gain 19%?

(A) 30%

(B) 40%

(C) 35%

(D) 32%

Question 6. The cost price of 20 articles is the same as the selling price of 16 articles. Find the gain or loss percentage.

(A) 20% loss

(B) 25% gain

(C) 20% gain

(D) 25% loss

Question 7. A shopkeeper purchased 100 kg of rice at $\textsf{₹}40$ per kg. He sold 60 kg at a profit of 5% and the remaining at a profit of 10%. What is his total profit?

(A) $\textsf{₹}240$

(B) $\textsf{₹}340$

(C) $\textsf{₹}320$

(D) $\textsf{₹}400$

Question 8. A retailer sells an item for $\textsf{₹}880$ after a 12% discount on the marked price. What is the marked price of the item?

(A) $\textsf{₹}1000$

(B) $\textsf{₹}1100$

(C) $\textsf{₹}990$

(D) $\textsf{₹}1050$

Question 9. A man bought an article for $\textsf{₹}1000$ and sold it at a profit of 20%. If he sold it through an agent who charges 5% commission on the selling price, find the net amount received by the man.

(A) $\textsf{₹}1200$

(B) $\textsf{₹}1140$

(C) $\textsf{₹}1150$

(D) $\textsf{₹}1180$

Question 10. Two articles are sold at the same price of $\textsf{₹}4000$. On one, there is a profit of 25%, and on the other, there is a loss of 20%. What is the overall profit or loss in the entire transaction?

(A) No profit, no loss

(B) Loss of $\textsf{₹}100$

(C) Profit of $\textsf{₹}100$

(D) Loss of $\textsf{₹}80$

Question 1. A principal amount of $\textsf{₹}8000$ is borrowed at a Simple Interest rate of 10% per annum. What is the total amount to be repaid after 5 years?

(A) $\textsf{₹}12000$

(B) $\textsf{₹}4000$

(C) $\textsf{₹}10000$

(D) $\textsf{₹}13000$

Question 2. Find the Compound Interest on $\textsf{₹}25000$ at 12% per annum for 2 years, compounded annually.

(A) $\textsf{₹}6000$

(B) $\textsf{₹}6360$

(C) $\textsf{₹}5000$

(D) $\textsf{₹}31360$

Question 3. A sum of money invested at Simple Interest triples itself in 8 years. What is the rate of interest per annum?

(A) 12.5%

(B) 25%

(C) 15%

(D) 20%

Question 4. The difference between CI and SI on a sum of $\textsf{₹}10000$ for 2 years is $\textsf{₹}100$. Find the rate of interest per annum (compounded annually).

(A) 5%

(B) 8%

(C) 10%

(D) 12%

Question 5. Find the Compound Interest on $\textsf{₹}16000$ for 9 months at 20% per annum, compounded quarterly.

(A) $\textsf{₹}2522$

(B) $\textsf{₹}2400$

(C) $\textsf{₹}2500$

(D) $\textsf{₹}2550$

Question 6. A sum of money amounts to $\textsf{₹}13230$ in 2 years at 5% per annum Compound Interest, compounded annually. What is the principal sum?

(A) $\textsf{₹}12000$

(B) $\textsf{₹}12500$

(C) $\textsf{₹}13000$

(D) $\textsf{₹}11800$

Question 7. The population of a city increases at a rate of 4% per annum. If the population at the beginning of 2020 was 1000000, what will be the population at the end of 2022?

(A) 1081200

(B) 1120000

(C) 1124864

(D) 1100000

Question 8. A sum of money doubles itself at Compound Interest in 6 years. In how many years will it become 16 times itself?

(A) 12 years

(B) 18 years

(C) 24 years

(D) 30 years

Question 9. The SI on a sum for 3 years at 10% p.a. is $\textsf{₹}900$. What is the CI on the same sum for 2 years at the same rate?

(A) $\textsf{₹}600$

(B) $\textsf{₹}630$

(C) $\textsf{₹}620$

(D) $\textsf{₹}640$

Question 10. Find the amount if $\textsf{₹}20000$ is invested at 8% per annum Compound Interest for 1 year, compounded half-yearly.

(A) $\textsf{₹}21600$

(B) $\textsf{₹}21632$

(C) $\textsf{₹}20800$

(D) $\textsf{₹}22000$

Question 1. A shopkeeper sells a shirt for $\textsf{₹}1200$ (before tax). If the GST rate is 18%, what is the final selling price including GST?

(A) $\textsf{₹}1380$

(B) $\textsf{₹}1416$

(C) $\textsf{₹}1400$

(D) $\textsf{₹}1218$

Question 2. A customer pays $\textsf{₹}4720$ for a mobile phone, which is inclusive of 18% GST. What was the price of the mobile phone before GST?

(A) $\textsf{₹}4000$

(B) $\textsf{₹}4200$

(C) $\textsf{₹}4500$

(D) $\textsf{₹}3900$

Question 3. An artisan sells handicrafts. The price before tax is $\textsf{₹}500$. If the applicable GST rate is 12% (intra-state), how much CGST and SGST is charged?

(A) CGST $\textsf{₹}60$, SGST $\textsf{₹}60$

(B) CGST $\textsf{₹}30$, SGST $\textsf{₹}30$

(C) CGST $\textsf{₹}60$, SGST $\textsf{₹}0$

(D) CGST $\textsf{₹}0$, SGST $\textsf{₹}60$

Question 4. A dealer in Maharashtra sells goods worth $\textsf{₹}20000$ to a retailer in Gujarat. The GST rate is 18%. What is the amount of IGST charged?

(A) $\textsf{₹}3600$

(B) $\textsf{₹}1800$ (CGST) + $\textsf{₹}1800$ (SGST)

(C) $\textsf{₹}0$ (for inter-state)

(D) $\textsf{₹}2000$

Question 5. A shopkeeper offers a 10% discount on an item marked at $\textsf{₹}2000$. If GST at 12% is applicable on the discounted price, what is the final price paid by the customer?

(A) $\textsf{₹}1800$

(B) $\textsf{₹}2016$

(C) $\textsf{₹}1920$

(D) $\textsf{₹}2000$

Question 6. An item's price including 5% Sales Tax was $\textsf{₹}840$. What was the original price of the item before Sales Tax?

(A) $\textsf{₹}800$

(B) $\textsf{₹}798$

(C) $\textsf{₹}820$

(D) $\textsf{₹}810$

Question 7. A business purchases raw materials for $\textsf{₹}10000$ and pays 18% GST. They sell the finished product for $\textsf{₹}15000$ and charge 18% GST. Assuming full ITC, what is the net GST payable by the business?

(A) $\textsf{₹}900$

(B) $\textsf{₹}1800$

(C) $\textsf{₹}2700$

(D) $\textsf{₹}0$

Question 8. A service provider charges $\textsf{₹}3000$ for a service. If the GST rate is 12%, what is the total bill amount?

(A) $\textsf{₹}3012$

(B) $\textsf{₹}3120$

(C) $\textsf{₹}3360$

(D) $\textsf{₹}3600$

Question 9. Which of the following taxes were NOT replaced by GST?

(A) Excise Duty

(B) Service Tax

(C) Customs Duty

(D) VAT

Question 10. A refrigerator is sold for $\textsf{₹}28000$ plus 28% GST. What is the total amount paid by the customer?

(A) $\textsf{₹}28280$

(B) $\textsf{₹}35840$

(C) $\textsf{₹}30000$

(D) $\textsf{₹}32000$

Question 1. A can do a work in 15 days, and B can do it in 20 days. If they work together, how many days will they take to complete the work?

(A) $8 \frac{4}{7}$ days

(B) 12 days

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

(D) 10 days

Question 2. P can do a work in 9 days. Q is 50% more efficient than P. How many days will Q take to do the same work?

(A) 6 days

(B) 4.5 days

(C) 13.5 days

(D) 5 days

Question 3. A and B can do a work in 12 days. B and C can do it in 15 days. C and A can do it in 20 days. If A, B, and C work together, how many days will they take to complete the work?

(A) 10 days

(B) 15 days

(C) 8 days

(D) 12 days

Question 4. 10 men can finish a piece of work in 10 days. If 12 men are employed, how many days will they take to finish the same work?

(A) 8 days

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

(C) 12 days

(D) $9 \frac{1}{6}$ days

Question 5. Pipe A can fill a tank in 8 hours, and Pipe B can empty it in 12 hours. If both pipes are opened together, how long will it take to fill the tank?

(A) 20 hours

(B) 24 hours

(C) 16 hours

(D) 10 hours

Question 6. A takes twice as much time as B, or thrice as much time as C to complete a work. If A, B, and C work together, they can complete the work in 2 days. How many days will B take to complete the work alone?

(A) 6 days

(B) 12 days

(C) 8 days

(D) 9 days

Question 7. A and B work together for 4 days and complete 40% of the work. A then leaves, and B finishes the remaining work in 9 days. In how many days can B alone complete the work?

(A) 15 days

(B) 18 days

(C) 20 days

(D) 24 days

Question 8. A cistern has a leak which empties it in 8 hours. A tap can fill the cistern at the rate of 6 litres per minute. When the tap is open, the cistern is emptied in 12 hours. What is the capacity of the cistern?

(A) 8640 litres

(B) 9600 litres

(C) 7200 litres

(D) 8400 litres

Question 9. 5 men and 2 boys can do a work in 4 days, while 6 men and 3 boys can do the same work in 3 days. In how many days can a man alone do the work?

(A) 10 days

(B) 18 days

(C) 24 days

(D) 12 days

Question 10. A can do a work in 30 days, B in 40 days. They work together for 10 days, then A leaves. How long will B take to finish the remaining work?

(A) 10 days

(B) 12 days

(C) 15 days

(D) 18 days

Question 1. A train travels at a speed of 90 km/hr. How much time will it take to cover a distance of 450 km?

(A) 4 hours

(B) 5 hours

(C) 6 hours

(D) 4.5 hours

Question 2. A car covers a distance in 4 hours at a speed of 60 km/hr. If it wants to cover the same distance in 3 hours, what should be its speed?

(A) 80 km/hr

(B) 75 km/hr

(C) 90 km/hr

(D) 70 km/hr

Question 3. A train 180 meters long is running at a speed of 54 km/hr. How long will it take to cross a platform 220 meters long?

(A) 20 seconds

(B) 25 seconds

(C) 28 seconds

(D) 30 seconds

Question 4. A man rows downstream at 15 km/hr and upstream at 9 km/hr. Find the speed of the man in still water and the speed of the stream.

(A) 12 km/hr, 3 km/hr

(B) 10 km/hr, 5 km/hr

(C) 12 km/hr, 6 km/hr

(D) 10 km/hr, 3 km/hr

Question 5. Two trains of lengths 120 m and 180 m are running in opposite directions at speeds of 50 km/hr and 40 km/hr respectively. In what time will they cross each other?

(A) 10 seconds

(B) 12 seconds

(C) 15 seconds

(D) 18 seconds

Question 6. A person travels from city A to city B at a speed of 30 km/hr and returns immediately to A at a speed of 20 km/hr. What is the average speed for the entire trip?

(A) 25 km/hr

(B) 24 km/hr

(C) 26 km/hr

(D) 22.5 km/hr

Question 7. In a 100 m race, A beats B by 10 m and C by 13 m. By how many meters will B beat C in a race of the same length?

(A) 3 m

(B) 4 m

(C) 3.5 m

(D) 2.5 m

Question 8. Excluding stoppages, the speed of a bus is 60 km/hr and including stoppages, it is 50 km/hr. For how many minutes does the bus stop per hour on average?

(A) 10 minutes

(B) 12 minutes

(C) 15 minutes

(D) 8 minutes

Question 9. A train moving at a speed of 72 km/hr crosses a pole in 10 seconds. What is the length of the train?

(A) 150 meters

(B) 200 meters

(C) 250 meters

(D) 180 meters

Question 10. A boat can travel at 8 km/hr in still water. If the speed of the stream is 2 km/hr, how long will the boat take to travel 30 km upstream and return to the starting point?

(A) 8 hours

(B) 9 hours

(C) 10 hours

(D) 11 hours

Question 1. The marks obtained by 5 students in a test are 70, 85, 60, 90, and 75. What is the average mark of the students?

(A) 70

(B) 76

(C) 78

(D) 80

Question 2. The average age of 10 cricketers is 28 years. If the age of the captain is included, the average age increases by 1 year. What is the age of the captain?

(A) 38 years

(B) 39 years

(C) 30 years

(D) 41 years

Question 3. The average weight of 6 boys in a class is 45 kg. If a new boy with a weight of 52 kg joins the class, what is the new average weight of the boys?

(A) 46 kg

(B) 47 kg

(C) 46.5 kg

(D) 47.2 kg

Question 4. The average score of a batsman in 15 innings is 30 runs. In his next inning, he scores 60 runs. What is his new average score?

(A) 32 runs

(B) 35 runs

(C) 32.5 runs

(D) 33 runs

Question 5. The average temperature of a city for the first 4 days of a week was $35^\circ C$. The average temperature for the entire week was $36^\circ C$. What was the average temperature for the last 3 days?

(A) $37^\circ C$

(B) $38^\circ C$

(C) $36.33^\circ C$

(D) $37.33^\circ C$

Question 6. In a class of 40 students, the average age is 12 years. If the age of one student is wrongly recorded as 10 instead of 14, what is the correct average age?

(A) 12.1 years

(B) 12.2 years

(C) 12.05 years

(D) 12.15 years

Question 7. The average monthly income of A and B is $\textsf{₹}4000$. The average monthly income of B and C is $\textsf{₹}5000$. The average monthly income of C and A is $\textsf{₹}4500$. What is the monthly income of B?

(A) $\textsf{₹}4500$

(B) $\textsf{₹}4000$

(C) $\textsf{₹}5000$

(D) $\textsf{₹}5500$

Question 8. A train travels the first 100 km at a speed of 50 km/hr and the next 150 km at a speed of 75 km/hr. What is the average speed for the entire journey?

(A) 60 km/hr

(B) 62.5 km/hr

(C) 65 km/hr

(D) 68.5 km/hr

Question 9. The average of 7 numbers is 30. If the average of the first three numbers is 25 and the average of the last three numbers is 35, what is the value of the fourth number?

(A) 25

(B) 30

(C) 35

(D) 40

Question 10. The average weight of a class of 20 students is 40 kg. If a student weighing 30 kg leaves the class, what is the average weight of the remaining 19 students?

(A) Approx. 40.5 kg

(B) Approx. 41 kg

(C) Approx. 41.5 kg

(D) Approx. 42 kg

Question 1. What is the angle between the hour hand and the minute hand of a clock at 4:40?

(A) $100^\circ$

(B) $110^\circ$

(C) $120^\circ$

(D) $130^\circ$

Question 2. At what time between 7 and 8 o'clock are the hands of a clock together?

(A) $7: 35$

(B) $7: 38 \frac{2}{11}$

(C) $7: 36 \frac{4}{11}$

(D) $7: 39 \frac{3}{11}$

Question 3. How many times do the hands of a clock coincide in a 24-hour period?

(A) 22

(B) 24

(C) 11

(D) 12

Question 4. A clock gains 10 minutes in 24 hours. If it is set right at 8 AM on Monday, what will be the true time when the clock shows 8:05 PM on Tuesday?

(A) 8:00 PM

(B) 8:01 PM

(C) 8:02 PM

(D) 8:03 PM

Question 5. At what time between 5 and 6 o'clock are the hands of a clock in a straight line but not together (opposite to each other)?

(A) $5: 00$

(B) $5: 5 \frac{5}{11}$

(C) $5: 6 \frac{4}{11}$

(D) $5: 7 \frac{3}{11}$

Question 6. The time shown on a clock is 2:30. If the clock is viewed in a mirror, what time will the mirror image show?

(A) 9:30

(B) 10:30

(C) 9:00

(D) 10:00

Question 7. How many degrees does the hour hand move in 30 minutes?

(A) $15^\circ$

(B) $180^\circ$

(C) $150^\circ$

(D) $30^\circ$

Question 8. At what time between 10 and 11 o'clock are the hands of a clock at right angles for the first time?

(A) $10: 5 \frac{5}{11}$

(B) $10: 10$

(C) $10: 5 \frac{5}{11}$

(D) $10: 38 \frac{2}{11}$

Question 9. A clock loses 5 minutes every hour. If it is set right at 6 AM, what time will it show at 6 PM on the same day?

(A) 5:00 PM

(B) 5:10 PM

(C) 5:30 PM

(D) 5:55 PM

Question 10. The minute hand of a clock overtakes the hour hand at intervals of 65 minutes of the correct time. Does the clock gain or lose time and by how much per hour?

(A) Gains $1 \frac{1}{11}$ minutes per hour

(B) Loses $1 \frac{1}{11}$ minutes per hour

(C) Gains $\frac{5}{11}$ minutes per hour

(D) Loses $\frac{5}{11}$ minutes per hour

Question 1. If today is Tuesday, what will be the day of the week after 50 days?

(A) Sunday

(B) Monday

(C) Tuesday

(D) Thursday

Question 2. What day of the week was 15th August 1947?

(A) Wednesday

(B) Thursday

(C) Friday

(D) Saturday

Question 3. Which of the following is a leap year?

(A) 1800

(B) 1900

(C) 2000

(D) 2100

Question 4. If 1st January 2010 was a Friday, what day of the week was 1st January 2011?

(A) Friday

(B) Saturday

(C) Sunday

(D) Monday

Question 5. The calendar for the year 2003 will be the same as for which of the following years?

(A) 2008

(B) 2014

(C) 2019

(D) 2011

Question 6. How many odd days are there in 200 years?

(A) 1

(B) 2

(C) 3

(D) 5

Question 7. If 10th March 2020 was a Tuesday, what day of the week was 10th March 2021?

(A) Wednesday

(B) Thursday

(C) Friday

(D) Monday

Question 8. If February 10th in a non-leap year is a Sunday, what day of the week will be March 10th in the same year?

(A) Sunday

(B) Monday

(C) Tuesday

(D) Wednesday

Question 9. The calendar for the year 2012 will be the same as for which of the following years?

(A) 2030

(B) 2036

(C) 2040

(D) 2048

Question 10. How many leap years are there from 1800 to 1900 (inclusive)?

(A) 24

(B) 25

(C) 0

(D) 1

Question 1. Six friends A, B, C, D, E, F are sitting in a row facing North. A is third to the left of D. C is to the immediate right of A. B is second to the right of F. Who is at the extreme left end?

(A) A

(B) B

(C) F

(D) D

Question 2. Eight persons P, Q, R, S, T, U, V, W are sitting around a circular table facing the center. Q is second to the right of P. S is third to the left of Q. R is to the immediate left of S. V is not an immediate neighbour of P or S. Where is T sitting?

(A) Immediate right of P

(B) Immediate left of U

(C) Opposite to Q

(D) Between P and V

Question 3. In a class of 60 students, the number of boys is twice the number of girls. If Rina is 17th from the top among all students, and 9 boys are ahead of Rina, how many girls are after Rina in rank?

(A) 12

(B) 15

(C) 10

(D) 14

Question 4. Five buildings A, B, C, D, E are in a row facing East. A is to the left of B. E is to the right of B. C is between A and B. D is to the right of E. Which building is in the middle of the row?

(A) A

(B) B

(C) C

(D) D

Question 5. Seven friends A, B, C, D, E, F, G are sitting around a circular table. C is to the immediate right of G. D is not an immediate neighbour of C or G. E is second to the left of C. Who is sitting between D and F?

(A) A

(B) B

(C) E

(D) G

Question 6. In a row of 30 students, A is 10th from the left and B is 15th from the right. How many students are there between A and B?

(A) 5

(B) 6

(C) 7

(D) 8

Question 7. Five persons P, Q, R, S, T are sitting in a row. P is to the left of Q, R is to the right of Q, S is to the right of R, and T is between P and Q. Who is sitting to the immediate right of T?

(A) P

(B) Q

(C) R

(D) S

Question 8. Eight friends are sitting around a square table, 4 at the corners and 4 in the middle of the sides. Those at corners face inwards, those in middle face outwards. A faces B. C is to the immediate right of B. D is not next to A. Where is D sitting?

(A) At a corner

(B) In the middle of a side

(C) Opposite to C

(D) Immediate left of A

Question 9. In a row of girls, if Maya is 12th from the left and Priya is 18th from the right. If they interchange their positions, Maya becomes 18th from the left. What is the total number of girls in the row?

(A) 29

(B) 30

(C) 31

(D) 32

Question 10. Six persons A, B, C, D, E, F are sitting in two rows, three in each row. Row 1 (facing South): A, B, C. Row 2 (facing North): D, E, F. A is opposite E. B is not at an extreme end. C is to the left of B. Who is opposite B?

(A) D

(B) E

(C) F

(D) Cannot be determined

Question 1. A mixture of 60 litres of milk and water contains 20% water. How much water must be added to make the percentage of water 25%?

(A) 4 litres

(B) 5 litres

(C) 6 litres

(D) 8 litres

Question 2. A and B started a business with investments of $\textsf{₹}50000$ and $\textsf{₹}70000$ respectively. At the end of the year, they made a profit of $\textsf{₹}12000$. How should the profit be shared between A and B?

(A) A: $\textsf{₹}5000$, B: $\textsf{₹}7000$

(B) A: $\textsf{₹}6000$, B: $\textsf{₹}6000$

(C) A: $\textsf{₹}4000$, B: $\textsf{₹}8000$

(D) A: $\textsf{₹}7000$, B: $\textsf{₹}5000$

Question 3. A car travels from town P to town Q at 40 km/hr and from Q to P at 60 km/hr. It takes a total of 5 hours for the round trip. What is the distance between P and Q?

(A) 100 km

(B) 120 km

(C) 150 km

(D) 200 km

Question 4. A cistern is filled by two pipes A and B in 10 hours and 15 hours respectively. A third pipe C can empty it in 20 hours. If all three pipes are opened simultaneously, in how many hours will the cistern be filled?

(A) $7 \frac{1}{7}$ hours

(B) 8 hours

(C) $8 \frac{4}{7}$ hours

(D) 9 hours

Question 5. The average age of 15 students is 20 years. If two new students with ages 18 and 22 years join the group, what is the new average age of all students?

(A) 20 years

(B) 20.5 years

(C) 21 years

(D) 19.5 years

Question 6. A sum of $\textsf{₹}6000$ is divided into two parts such that the simple interest on the first part at 10% p.a. for 2 years is equal to the simple interest on the second part at 8% p.a. for 3 years. Find the two parts.

(A) $\textsf{₹}3000, \textsf{₹}3000$

(B) $\textsf{₹}3600, \textsf{₹}2400$

(C) $\textsf{₹}2400, \textsf{₹}3600$

(D) $\textsf{₹}4000, \textsf{₹}2000$

Question 7. A product is sold for $\textsf{₹}1800$ after allowing a 10% discount on the marked price. If the shopkeeper made a profit of 20%, what was the cost price of the product?

(A) $\textsf{₹}1500$

(B) $\textsf{₹}1600$

(C) $\textsf{₹}1700$

(D) $\textsf{₹}1350$

Question 8. The ratio of the number of boys and girls in a school is 3:2. If 60% of the boys and 40% of the girls are present on a particular day, what percentage of the total students are present?

(A) 50%

(B) 52%

(C) 54%

(D) 56%

Question 9. A cistern is normally filled in 6 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 how many hours?

(A) 12 hours

(B) 18 hours

(C) 24 hours

(D) 30 hours

Question 10. A man buys milk at $\textsf{₹}50$ per litre and mixes water with it. He sells the mixture at the same price and makes a profit of 20%. What is the ratio of milk to water in the mixture?

(A) 4 : 1

(B) 5 : 1

(C) 6 : 1

(D) 3 : 1