Completing Statements MCQs for Sub-Topics of Topic 3: Quantitative Aptitude

Question 1. The comparison of two quantities of the same kind by division is called a ______.

(A) Proportion

(B) Ratio

(C) Unitary Method

(D) Variation

Question 2. An equality of two ratios is called a ______.

(A) Fraction

(B) Proportion

(C) Percentage

(D) Average

Question 3. In the ratio $a:b$, 'a' is called the antecedent and 'b' is called the ______.

(A) Precedent

(B) Consequent

(C) Extreme

(D) Mean

Question 4. The method of finding the value of a single unit from the value of multiple units, and then finding the value of the required number of units, is known as the ______.

(A) Ratio method

(B) Proportion method

(C) Unitary method

(D) Average method

Question 5. In a proportion $a:b :: c:d$, the terms 'a' and 'd' are called the extremes, and 'b' and 'c' are called the ______.

(A) Antecedents

(B) Consequents

(C) Means

(D) Ratios

Question 6. If the cost of 7 apples is $\textsf{₹}105$, the cost of 1 apple is $\textsf{₹}15$, which is found by the first step of the ______ method.

(A) Ratio

(B) Proportion

(C) Unitary

(D) Direct

Question 7. The ratio of two quantities is usually expressed in its ______.

(A) Decimal form

(B) Percentage form

(C) Simplest form

(D) Complex form

Question 8. If four quantities are in proportion, then the product of the extremes is equal to the ______.

(A) Sum of the means

(B) Product of the means

(C) Difference of the means

(D) Ratio of the means

Question 9. If the ratio of boys to girls in a class is 3:2, it means that for every 3 boys, there are ______ girls.

(A) 3

(B) 2

(C) 5

(D) 1

Question 10. If $a, b, c$ are in continued proportion ($a:b :: b:c$), then $b$ is called the ______ between $a$ and $c$.

(A) Third proportional

(B) Fourth proportional

(C) Mean proportional

(D) First proportional

Question 1. When two quantities are related such that an increase in one quantity causes a proportional increase in the other quantity, they are said to be in ______ variation.

(A) Inverse

(B) Direct

(C) Joint

(D) Combined

Question 2. When two quantities are related such that an increase in one quantity causes a proportional decrease in the other quantity, they are said to be in ______ variation.

(A) Direct

(B) Inverse

(C) Joint

(D) Combined

Question 3. If $y$ varies directly as $x$, their relationship can be written as $y = kx$, where $k$ is the ______.

(A) Variable

(B) Constant of proportionality

(C) Independent variable

(D) Dependent variable

Question 4. If $y$ varies inversely as $x$, their relationship can be written as $xy = k$ or $y = k/x$, where $k$ is the ______.

(A) Variable

(B) Constant of proportionality

(C) Independent variable

(D) Dependent variable

Question 5. The graph of a direct variation relationship ($y = kx$ with $k>0$) is a straight line passing through the ______.

(A) X-axis

(B) Y-axis

(C) Origin

(D) Point $(1, k)$

Question 6. The number of workers needed to complete a job is inversely proportional to the ______ taken to complete the job.

(A) Cost

(B) Efficiency

(C) Time

(D) Work done

Question 7. If the speed of a vehicle increases, the time taken to cover a fixed distance ______.

(A) Increases

(B) Decreases

(C) Remains the same

(D) Depends on the distance

Question 8. If the cost per item is fixed, the total cost varies ______ as the number of items purchased.

(A) Inversely

(B) Directly

(C) Jointly

(D) Proportionally

Question 9. In the equation $z = kxy$, $z$ is said to vary ______ as $x$ and $y$.

(A) Directly

(B) Inversely

(C) Jointly

(D) Partially

Question 10. Boyle's Law states that at constant temperature, the pressure of a gas is inversely proportional to its ______. This is an example of inverse variation.

(A) Mass

(B) Volume

(C) Density

(D) Temperature

Question 1. A percentage is a number or ratio expressed as a fraction of ______.

(A) One

(B) Ten

(C) Hundred

(D) Thousand

Question 2. To convert a percentage to a decimal, divide the percentage value by ______.

(A) 10

(B) 100

(C) 1000

(D) It depends on the value

Question 3. To find a percentage of a given quantity, convert the percentage to a fraction or decimal and ______ the quantity.

(A) Add to

(B) Subtract from

(C) Multiply by

(D) Divide by

Question 4. If a quantity increases from an original value to a new value, the percentage increase is calculated as the increase divided by the ______ value, multiplied by 100.

(A) New

(B) Original

(C) Average

(D) Final

Question 5. If a quantity decreases from an original value to a new value, the percentage decrease is calculated as the decrease divided by the ______ value, multiplied by 100.

(A) New

(B) Original

(C) Average

(D) Final

Question 6. If a value is increased by $r_1\%$ and then by $r_2\%$, this is an example of ______ percentage change.

(A) Simple

(B) Compound

(C) Successive

(D) Direct

Question 7. If a quantity is decreased by $r\%$, the new quantity is $(100-r)\%$ of the ______ quantity.

(A) New

(B) Original

(C) Final

(D) Reduced

Question 8. To find a quantity when its percentage is given, you can set up an equation like $x\% \text{ of Quantity} = \text{Given Value}$, and solve for the ______.

(A) Percentage

(B) Given Value

(C) Quantity

(D) $x$

Question 9. Converting a decimal like 0.45 to a percentage involves multiplying by ______.

(A) 10

(B) 100

(C) 1000

(D) It depends on the decimal

Question 10. A percentage can be easily converted to a ratio by writing it as a fraction with a denominator of 100 and then simplifying the ______.

(A) Denominator

(B) Numerator

(C) Fraction

(D) Ratio

Question 1. The price at which an article is bought is called the ______.

(A) Selling Price (SP)

(B) Marked Price (MP)

(C) Cost Price (CP)

(D) Discount Price

Question 2. The price at which an article is sold is called the ______.

(A) Selling Price (SP)

(B) Marked Price (MP)

(C) Cost Price (CP)

(D) Discount Price

Question 3. If the Selling Price (SP) is greater than the Cost Price (CP), there is a ______.

(A) Loss

(B) Profit

(C) Discount

(D) Marked Price

Question 4. If the Cost Price (CP) is greater than the Selling Price (SP), there is a ______.

(A) Loss

(B) Profit

(C) Discount

(D) Marked Price

Question 5. Profit or loss is usually calculated as a percentage of the ______.

(A) Selling Price (SP)

(B) Marked Price (MP)

(C) Discount

(D) Cost Price (CP)

Question 6. The reduction given on the Marked Price (MP) is called the ______.

(A) Profit

(B) Loss

(C) Discount

(D) Tax

Question 7. The price that is printed on an article or tagged is known as the ______.

(A) Selling Price (SP)

(B) Cost Price (CP)

(C) Discount Price

(D) Marked Price (MP)

Question 8. The formula for profit percentage is $\frac{\text{Profit}}{CP} \times ______$.

(A) 10

(B) 100

(C) 1000

(D) SP

Question 9. The selling price after a discount is calculated as Marked Price - ______.

(A) Profit

(B) Loss

(C) Discount Amount

(D) Cost Price

Question 10. A gain or loss percentage is calculated on the Cost Price unless stated ______.

(A) As amount

(B) On Marked Price

(C) On Selling Price

(D) As a discount

Question 1. In Simple Interest, the interest is calculated only on the original ______ amount.

(A) Amount

(B) Interest

(C) Principal

(D) Rate

Question 2. In Compound Interest, the interest is calculated on the principal amount as well as the accumulated ______ from previous periods.

(A) Rate

(B) Time

(C) Amount

(D) Interest

Question 3. The formula for Simple Interest is $\text{SI} = \frac{P \times R \times T}{______}$.

(A) 1

(B) 10

(C) 100

(D) 1000

Question 4. The Amount (A) at the end of T years at Simple Interest is given by A = Principal + ______.

(A) Rate

(B) Time

(C) Simple Interest

(D) Compound Interest

Question 5. The formula for the Amount (A) at Compound Interest, compounded annually, is $A = P \left(1 + \frac{R}{100}\right)^{______}$.

(A) R

(B) T

(C) 100

(D) P

Question 6. When interest is compounded half-yearly, the annual rate R% is divided by 2, and the time period T years is multiplied by ______ to get the number of periods.

(A) 1/2

(B) 2

(C) 4

(D) 1/4

Question 7. For a given principal, rate, and time (greater than 1 year), Compound Interest is always ______ than Simple Interest.

(A) Less than

(B) Equal to

(C) Greater than

(D) Unrelated to

Question 8. The difference between CI and SI for 2 years on a principal P at R% p.a. is given by the formula $\frac{PR^2}{______}$.

(A) 100

(B) $100^2$

(C) 1000

(D) 10000

Question 9. Applications of Compound Interest include calculating the growth of investments and the ______ of assets over time.

(A) Appreciation

(B) Depreciation

(C) Taxation

(D) Inflation

Question 10. The effective annual rate of interest is the actual rate earned in a year when compounding occurs ______ than once annually.

(A) Less frequently

(B) More frequently

(C) Exactly once

(D) Not at all

Question 1. Goods and Services Tax (GST) in India is a multi-stage, destination-based ______ tax.

(A) Direct

(B) Indirect

(C) Property

(D) Income

Question 2. For a supply of goods or services within the same state (intra-state), the tax levied includes CGST and ______.

(A) IGST

(B) UTGST

(C) SGST

(D) Both B and C (depending on location)

Question 3. For a supply of goods or services between different states (inter-state), the tax levied is ______.

(A) CGST

(B) SGST

(C) IGST

(D) UTGST

Question 4. CGST stands for Central Goods and Services Tax, collected by the ______ Government.

(A) State

(B) Central

(C) Local

(D) Union Territory

Question 5. SGST stands for State Goods and Services Tax, collected by the respective ______ Government.

(A) Central

(B) State

(C) Local

(D) Union Territory

Question 6. UTGST stands for Union Territory Goods and Services Tax, applicable in ______ like Chandigarh or Lakshadweep.

(A) States

(B) Cities

(C) Union Territories

(D) Districts

Question 7. Input Tax Credit (ITC) allows businesses to reduce their tax liability by claiming credit for taxes paid on their ______.

(A) Output sales

(B) Inputs (goods or services)

(C) Income

(D) Profits

Question 8. One of the main benefits of GST is the elimination of the ______ effect of taxes, where tax was levied on tax at various stages.

(A) Compounding

(B) Unitary

(C) Cascading

(D) Simple

Question 9. To find the price of an item before GST when the price including GST is given, you can divide the inclusive price by $(1 + \text{GST Rate}/______)$.

(A) 1

(B) 10

(C) 100

(D) 1000

Question 10. Calculating the total bill amount for a commercial transaction involves adding the price of goods/services and the applicable ______.

(A) Discount

(B) Profit

(C) Tax (GST)

(D) Commission

Question 1. Work rate is the amount of work done per unit of ______.

(A) Person

(B) Efficiency

(C) Time

(D) Effort

Question 2. If a person completes a piece of work in $N$ days, their work rate is $\frac{1}{N}$ of the work per ______.

(A) Hour

(B) Minute

(C) Day

(D) Week

Question 3. When multiple individuals work together on the same task, their individual work rates are ______ to find their combined work rate.

(A) Subtracted

(B) Multiplied

(C) Divided

(D) Added

Question 4. The time taken to complete a fixed amount of work is inversely proportional to the number of ______ working on it (assuming same efficiency).

(A) Days

(B) Hours

(C) Workers

(D) Tasks

Question 5. In Pipes and Cisterns problems, an outlet pipe has a ______ work rate compared to an inlet pipe.

(A) Positive

(B) Negative

(C) Zero

(D) Constant

Question 6. If A is twice as efficient as B, A takes half the ______ B takes to do the same work.

(A) Rate

(B) Work

(C) Efficiency

(D) Time

Question 7. If the total work is considered as 1 unit, and daily work rate is $r$, the number of days to complete the work is ______.

(A) $1+r$

(B) $1-r$

(C) $1/r$

(D) $r$

Question 8. Problems involving workers working on alternate days require calculating the work done in ______ complete cycle of working days.

(A) Half

(B) One

(C) Two

(D) Each

Question 9. If the ratio of efficiencies of two persons is given, the ratio of the time taken by them to complete the same work is the ______ of the efficiency ratio.

(A) Square

(B) Square root

(C) Reciprocal

(D) Sum

Question 10. Total work can sometimes be represented as the ______ of the individual times taken to complete the work, which simplifies finding work rates as integer units.

(A) HCF

(B) LCM

(C) Sum

(D) Product

Question 1. Speed is defined as the ______ covered per unit time.

(A) Time

(B) Distance

(C) Acceleration

(D) Velocity

Question 2. The relationship between Distance (D), Speed (S), and Time (T) is D = S $\times$ ______.

(A) D

(B) S

(C) T

(D) Constant

Question 3. To convert a speed from km/hr to m/s, you multiply the value by the fraction ______.

(A) 18/5

(B) 5/18

(C) 1000/3600

(D) 3600/1000

Question 4. When two objects are moving in opposite directions, their relative speed is the ______ of their individual speeds.

(A) Difference

(B) Product

(C) Sum

(D) Ratio

Question 5. When two objects are moving in the same direction, their relative speed is the ______ of their individual speeds.

(A) Difference

(B) Product

(C) Sum

(D) Ratio

Question 6. The time taken by a train to cross a stationary object like a pole or a man is the time taken to cover the train's own ______.

(A) Speed

(B) Length

(C) Breadth

(D) Weight

Question 7. The speed of a boat moving against the current of a river is called speed ______.

(A) Downstream

(B) Upstream

(C) Still water

(D) Relative

Question 8. The speed of a boat moving with the current of a river is called speed ______.

(A) Downstream

(B) Upstream

(C) Still water

(D) Relative

Question 9. Average speed is calculated as Total Distance divided by Total ______.

(A) Time

(B) Speed

(C) Stops

(D) Segments

Question 10. In races, if A beats B by a certain distance, it means A finishes the race when B is still that distance ______ from the finish line.

(A) Ahead

(B) Behind

(C) At

(D) Beside

Question 1. The average of a set of numbers is found by dividing the sum of the numbers by the ______ of numbers in the set.

(A) Product

(B) Difference

(C) Count

(D) Range

Question 2. Average is a measure of ______ tendency, representing a typical value in the data.

(A) Spread

(B) Variability

(C) Central

(D) Extreme

Question 3. If each number in a set is increased by a constant amount, the average of the set is also ______ by the same constant amount.

(A) Decreased

(B) Multiplied

(C) Divided

(D) Increased

Question 4. If each number in a set is multiplied by a constant factor, the average of the set is also ______ by the same constant factor.

(A) Decreased

(B) Multiplied

(C) Divided

(D) Increased

Question 5. When a new item is added to a group, the new average depends on the value of the new item compared to the ______ average.

(A) New

(B) Overall

(C) Original

(D) Weighted

Question 6. Weighted average is used when different data points have different ______ or frequencies.

(A) Sums

(B) Differences

(C) Values

(D) Weights

Question 7. The average of an arithmetic progression (like consecutive numbers) with an odd number of terms is the ______ term.

(A) First

(B) Last

(C) Middle

(D) Sum of first and last

Question 8. If a value is removed from a group, and the average decreases, the removed value must have been ______ than the original average.

(A) Less than

(B) Equal to

(C) Greater than

(D) Proportionally related

Question 9. The sum of a set of numbers is equal to their average multiplied by the ______ of numbers in the set.

(A) Sum

(B) Count

(C) Average

(D) Difference

Question 10. In problems involving addition or removal of items, the key is to work with the total ______ of the items.

(A) Average

(B) Count

(C) Sum/Value

(D) Difference

Question 1. The minute hand of a clock moves 360 degrees in ______ minutes.

(A) 12

(B) 30

(C) 60

(D) 1

Question 2. The hour hand of a clock moves 360 degrees in ______ hours.

(A) 1

(B) 10

(C) 12

(D) 24

Question 3. The angle covered by the minute hand in one minute is ______ degrees.

(A) 0.5

(B) 6

(C) 30

(D) 360

Question 4. The angle covered by the hour hand in one minute is ______ degrees.

(A) 0.5

(B) 6

(C) 30

(D) 360

Question 5. The relative speed of the minute hand with respect to the hour hand is ______ degrees per minute.

(A) 5.5

(B) 6.5

(C) 30

(D) 360

Question 6. The hands of a clock coincide (are together) ______ times in a 12-hour period.

(A) 10

(B) 11

(C) 12

(D) 22

Question 7. The hands of a clock are at right angles ______ times in a 12-hour period.

(A) 11

(B) 12

(C) 22

(D) 24

Question 8. The hands of a clock are in a straight line (coincide or opposite) ______ times in a 12-hour period.

(A) 11

(B) 22

(C) 24

(D) 12

Question 9. A faulty clock that gains time will show a time ______ of the correct time.

(A) Ahead

(B) Behind

(C) Equal to

(D) Proportional to

Question 10. The angle between the hands of a clock at H hours M minutes can be calculated using the formula $\frac{11}{2}M - 30H$ or $30H - \frac{11}{2}M$, taking the ______ value.

(A) Average

(B) Sum

(C) Absolute

(D) Negative

Question 1. An ordinary year has 365 days, while a leap year has ______ days.

(A) 364

(B) 365

(C) 366

(D) 367

Question 2. A year is a leap year if it is divisible by 4, except for century years which must be divisible by ______ to be a leap year.

(A) 100

(B) 200

(C) 300

(D) 400

Question 3. The number of extra days beyond the complete weeks in a given period are called ______ days.

(A) Even

(B) Ordinary

(C) Leap

(D) Odd

Question 4. An ordinary year has ______ odd day(s).

(A) 0

(B) 1

(C) 2

(D) 7

Question 5. A leap year has ______ odd day(s).

(A) 0

(B) 1

(C) 2

(D) 7

Question 6. The day of the week for a specific date can be determined by calculating the total number of ______ from a known reference date.

(A) Days

(B) Weeks

(C) Odd days

(D) Months

Question 7. The calendar of a leap year repeats after ______ years.

(A) 6

(B) 11

(C) 12

(D) 28

Question 8. The calendar of an ordinary year usually repeats after 6 or ______ years.

(A) 10

(B) 11

(C) 12

(D) 28

Question 9. If today is Thursday, the day after 7 days will be ______.

(A) Friday

(B) Saturday

(C) Thursday

(D) Sunday

Question 10. The number of odd days in 100 years is ______.

(A) 0

(B) 1

(C) 3

(D) 5

Question 1. Arrangement problems involve determining the position of individuals based on given ______.

(A) Numbers

(B) Clues or conditions

(C) Calculations

(D) Averages

Question 2. In a linear arrangement, individuals are positioned in a straight ______.

(A) Circle

(B) Row

(C) Square

(D) Triangle

Question 3. In a circular arrangement, individuals are positioned around a ______ table or in a circle.

(A) Square

(B) Rectangular

(C) Round

(D) Linear

Question 4. An individual sitting directly next to another is called an immediate ______.

(A) Opposite

(B) Friend

(C) Neighbour

(D) Relative

Question 5. In a circular arrangement where all individuals are facing the center, 'right' refers to the ______ direction.

(A) Anti-clockwise

(B) Clockwise

(C) Linear

(D) Opposite

Question 6. In a linear arrangement, the positions at either end are called extreme ______.

(A) Centres

(B) Middles

(C) Ends

(D) Points

Question 7. Drawing a diagram or sketch is often helpful to visualize the positions and relationships in ______ problems.

(A) Calculation

(B) Arrangement

(C) Percentage

(D) Average

Question 8. In a row of $N$ persons, if a person's rank from one end is $R$, their rank from the other end is $N - R + ______$.

(A) 0

(B) 1

(C) 2

(D) N

Question 9. If A is sitting between B and C, A is an immediate neighbour of both B and ______.

(A) A

(B) B

(C) C

(D) The person opposite

Question 10. In a circular arrangement facing outwards, 'right' refers to the ______ direction relative to the center.

(A) Clockwise

(B) Anti-clockwise

(C) Straight

(D) Opposite

Question 1. Problems involving mixing two or more substances with different properties to get a mixture with a desired property are solved using ______.

(A) Ratios

(B) Percentages

(C) Alligation and Mixture

(D) Averages

Question 2. In a partnership business, the profit or loss is shared among the partners in the ratio of their investments and the ______ for which the investments were made.

(A) Profit

(B) Loss

(C) Time

(D) Average

Question 3. Word problems that combine concepts from different quantitative topics require identifying and applying multiple ______ from different areas.

(A) Formulas

(B) Concepts

(C) Answers

(D) Questions

Question 4. Problems involving coins of different denominations in a bag can often be solved by setting up equations based on the total ______ of the coins.

(A) Number

(B) Weight

(C) Value

(D) Ratio

Question 5. Calculating the net effect of successive percentage changes (increase or decrease) on a value is a common application of ______ concepts.

(A) Ratio

(B) Proportion

(C) Percentage

(D) Average

Question 6. Problems where the average of a group changes due to the addition, removal, or replacement of an item are solved using basic ______ formulas and principles.

(A) Percentage

(B) Ratio

(C) Average

(D) Interest

Question 7. Problems involving tax calculations in commercial transactions require understanding how tax rates are applied to prices and how ______ is accounted for (in GST).

(A) Discount

(B) Profit

(C) Interest

(D) Input Tax Credit

Question 8. Time, Speed, and Distance problems involving boats in rivers require considering the speed of the boat in still water and the speed of the ______.

(A) Boat

(B) Wind

(C) Stream

(D) Shore

Question 9. Problems combining Time and Work with Pipes and Cisterns treat the filling or emptying of tanks as amounts of ______ done by the pipes.

(A) Volume

(B) Time

(C) Work

(D) Rate

Question 10. Miscellaneous quantitative problems often test the ability to identify the underlying concepts and apply the correct ______ or logic to solve them.

(A) Guesswork

(B) Formulas

(C) Intuition

(D) Random numbers