JIPMAT 2022 PYQsQuantitative Ability. Free, no login required.

Q1:

Arithmetic > Simple & Compound Interest

Easy

A sum becomes double in 10 years, then what is the annual rate of simple interest?

10%

20%

Correct Answer

Option 3

Correct Answer

Explanation

Q2:

Arithmetic > Ratio, Proportion & Variation

Conceptual

P, Q, and R invested Rs. 25,000, Rs. 50,000, and Rs. 25,000 respectively to start a business. At the end of two years, they earned a profit of Rs. 48,000. What will be Q's share?

24,000

36,000

12,000

20,000

Correct Answer

Option 1

Correct Answer

Explanation

Q3:

Algebra > Quadratic Equations

Easy

$\begin{array}{|c|c|c|} \hline \textbf{List I (Quadratic Equation)} & \textbf{List II (Roots)} \\ \hline \text{A. } 6x^2 + x - 12 = 0 & \text{I. } (-6, 4) \\ \hline \text{B. } 8x^2 + 16x - 10 = 202 & \text{II. } (9, 36) \\ \hline \text{C. } x^2 + 45x + 324 = 0 & \text{III. } (3, -\frac{1}{2}) \\ \hline \text{D. } 2x^2 - 5x - 3 = 0 & \text{IV. } \left(-\frac{3}{2}, \frac{4}{3}\right) \\ \hline \end{array}$

Match List I with List II. Choose the correct answer from the options given below:

A-I, B-III, C-IV, D-II

A-IV, B-I, C-II, D-III

A-II, B-IV, C-III, D-I

A-III, B-II, C-I, D-IV

Correct Answer

Option 2

Correct Answer

Explanation

Q4:

Arithmetic > Percentages

Medium

The population of a village is 5000. If in a year, the number of males were to increase by 5% and that of females by 3% annually, the population would grow to 5202 at the end of the year. If M is the number of males and F is the number of females in the village, then (M,F) =

(3000, 2000)

(2800, 2200)

(2600, 2400)

(2700, 2300)

Correct Answer

Option 3

Correct Answer

Explanation

Q5:

Arithmetic > Percentages

Easy

If A earns $33 \frac{1}{3} \%$ more than B, then percentage B earns less than A will be:

66.33%

25%

65%

33.33%

Correct Answer

Option 2

Correct Answer

Explanation

Q6:

Geometry > Trigonometry

Easy

Which of the following trigonometric identities are true? $\begin{aligned} & \sin ^2\left(41^{\circ}\right)+\sin ^2\left(49^{\circ}\right)=1 \\ & \sin ^2\left(60^{\circ}\right)-2 \tan \left(45^{\circ}\right)-\cos ^2\left(30^{\circ}\right)=-1 \\ & \sin ^2(\theta)+\frac{1}{1+\tan ^2(\theta)}=1 \end{aligned}$

A and B only

A and C only

B and C only

A, B, and C

Correct Answer

Option 2

Correct Answer

Explanation

Q7:

Algebra > Identities

Medium

Which of the following is the value of $m$ for which the polynomial $x^4 + 10x^3 + 25x^2 + 15x + m$ is exactly divisible by $x+7$?

-91

-101

115

Correct Answer

Option 1

Correct Answer

Explanation

Q8:

Geometry > Circles

Medium

The area of a circular playground is $22176 \ cm^2$. What is the cost of fencing this ground at the rate of ₹50 per metre?

₹ 264

₹ 400

₹ 312

₹ 244

Correct Answer

Option 1

Correct Answer

Explanation

Q9:

Algebra > Progression & Series

Medium

The sum of $n-$ terms of sequence $\frac{1}{1 \times 2}+\frac{1}{2 \times 3}+\frac{1}{3 \times 4} \ldots \ldots$. Is

$\frac{1}{n+1}$

$\frac{1}{n}$

$\frac{n+1}{n}$

$\frac{n}{n+1}$

Correct Answer

Option 4

Correct Answer

Explanation

Q10:

Arithmetic > Time & Work

Easy

If A can do 1/4 of a work in 3 days and B can do 1/6 of the same work in 4 days, how much will A get if both work together and are paid Rs. 180 in total?

108

120

Correct Answer

Option 4

Correct Answer

Explanation

Q11:

Geometry > Trigonometry

Conceptual

Two poles of height 6 m and 11 m stand vertically upright on a plane ground. If the distance between their foot is 12 m, then the distance between their tops is

12 m

14 m

13 m

11 m

Correct Answer

Option 3

Correct Answer

Explanation

Q12:

Arithmetic > Percentages

Easy

The value of a flat worth ₹500,000 is depreciating at the rate of 10% per annum. In how many years will the value be reduced to ₹364,500?

2 Years

3 Years

3 Years, 6 Months

4 years

Correct Answer

Option 2

Correct Answer

Explanation

Q13:

Arithmetic > Mixture & Alligation

Easy

How many liters of water should be added to a $30$ liters mixture of milk and water containing milk and water in the ratio $7:3$ such that the resultant mixture has 40% water in it?

Correct Answer

Option 1

Correct Answer

Explanation

Q14:

Number System > Miscellaneous

Easy

Given below are two statements: Statement I : The sum of exponents of prime factors in the prime factorization of 392 is 5. Statement II : The decimal representation $\frac{13}{2^3 \times 5}$ will terminate after 2 decimal places. In the light of the above statements, choose the correct answer from the options given below:

Both Statement I and Statement II are true

Both Statement I and Statement II are false

Statement I is true but Statement II is false

Statement I is false but Statement II is true

Correct Answer

Option 3

Correct Answer

Explanation

Q15:

Modern Math > Probability

Hard

Given below are two statement based on the following If $A$ and $B$ are independent events such that $P(A)=p, P(B)=2 p$ and $P$ (exactly one of $A, B)=\frac{5}{9}$ Statement I: $\mathrm{p}=\frac{1}{3}$ Statement II: $\mathrm{p}=\frac{5}{12}$ In the light of the above statements, choose the correct answer form the question given below

Both Statement I and Statement II are true

Both Statement I and Statement II are false

Statement I is true but Statement II is false

Statement I is false but Statement II is true

Correct Answer

Option 1

Correct Answer

Explanation

Q16:

Arithmetic > Time, Speed & Distance

Hard

Given below are two statements based on the following: A motor boat can travel 30 km upstream and 28 km downstream in 7 hours. It can travel 21 km upstream and return in 5 hours. Statement I: Speed of the boat in still water is 12 km per hour. Statement II: Speed of the stream is 4 km per hour. In the light of the above statements, choose the correct answer from the options given below:

Both Statement I and Statement II are true

Both Statement I and Statement II are false

Statement I is false but Statement II is true

Statement I is true but Statement II is false

Correct Answer

Option 3

Correct Answer

Explanation

Q17:

Geometry > Solids

Medium

Floor of a room is $15 \text{ m } 17 \text{ cm}$ long and $9 \text{ m } 2 \text{ cm}$ broad. What is the least number of square tiles required to pave the floor?

768

906

814

652

Correct Answer

Option 3

Correct Answer

Explanation

Q18:

Arithmetic > Time, Speed & Distance

Medium

Two persons A and B start from the same point to travel from Chandigarh to Ambala. The distance between Chandigarh and Ambala is $60 \text{ km}$. Speed of A is $4 \text{ km/hr}$ slower than B. B, when reaches Ambala, starts back via the same route without taking any rest and meets A who was still $12 \text{ km}$ away from Ambala. Find the speed of A.

4 km/hr

8 km/hr

12 km/hr

14 km/hr

Correct Answer

Option 2

Correct Answer

Explanation

Q19:

Number System > HCF & LCM

Easy

If the LCM of two numbers is 12 times their HCF and the sum of LCM and HCF is 403, and one number is 93, find the other number.

124

114

128

Correct Answer

Option 1

Correct Answer

Explanation

Q20:

Arithmetic > Ratio, Proportion & Variation

Easy

The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages (in years) of the son and the father are, respectively

6 and 36

4 and 24

5 and 30

7 and 42

Correct Answer

Option 1

Correct Answer

Explanation

Q21:

Arithmetic > Ratio, Proportion & Variation

Medium

Three years ago, the ratio of ages of Amisha and Namisha was 8:9. Three years from now the ratio will become 11:12. What is the present age of Amisha?

2 years

16 years

19 years

21 years

Correct Answer

Option 3

Correct Answer

Explanation

Q22:

Geometry > Circles

Medium

If the radius of each of four outer circles is $r$, then the radius of the innermost circle is <img src="https://balti.afterboards.in/KJbLKQT21zndr44" width=200px>

$\frac{\sqrt{2}}{\sqrt{2+1}} r$

$\frac{1}{\sqrt{2}} r$

$(\sqrt{2}-1) r$

$\sqrt{2 r}$

Correct Answer

Option 3

Correct Answer

Explanation

Q23:

Algebra > Quadratic Equations

Medium

If $\sin (\alpha)$ and $\cos (\alpha)$ are the roots of the equation $a x^{2}+b x+c=0$, then $b^{2}$ is

$c^{2}+2 a c$

$a^{2}+a c$

$a^{2}+2 a c$

$c^{2}+a c$

Correct Answer

Option 3

Correct Answer

Explanation

Q24:

Arithmetic > Averages

Medium

If the mean of $a$, $b$, and $c$ is $M$; $ab + bc + ca = 0$; and the mean of $a^2$, $b^2$ and $c^2$ is $KM^2$, then $K$ is equal to

Correct Answer

Option 1

Correct Answer

Explanation

Q25:

Arithmetic > Averages

Conceptual

$\begin{array}{|c|c|c|} \hline \textbf{List I} & \textbf{List II} \\ \hline \text{A. Mean of first five prime numbers is} & \text{I. 12} \\ \hline \text{B. Mean of all factors of 24 is} & \text{II. 7.5} \\ \hline \text{C. Mean of first six multiples of 4 is} & \text{III. 5.6} \\ \hline \text{D. If the mean of } x - 5y, x - 3y, x - y, \\x + y, x + 3y \text{ and } x + 5y \text{ is 12, then } x \text{ is} & \text{IV. 14} \\ \hline \end{array}$

Match List I with List II. Choose the correct answer from the options given below:

A-II, B-I, C-III, D-IV

A-III, B-II, C-IV, D-I

A-I, B-IV, C-II, D-III

A-IV, B-III, C-I, D-II

Correct Answer

Option 2

Correct Answer

Explanation

Q26:

Algebra > Indices

Hard

$\frac{\sqrt{5}+\sqrt{3}}{\sqrt{8-2 \sqrt{15}}}+\frac{\sqrt{11+2 \sqrt{30}}}{\sqrt{6}-\sqrt{5}}$

$25+\sqrt{10}+2 \sqrt{30}$

$40+\sqrt{10}+2 \sqrt{30}$

$30+\sqrt{20}+2 \sqrt{30}$

$15+\sqrt{15}+2 \sqrt{30}$

Correct Answer

Option 4

Correct Answer

Explanation

Q27:

Algebra > Linear Equation

Easy

If $a\times b=2 a-3 b+a b$,then $3 \times 5+5 \times 3$ is equal to

Correct Answer

Option 3

Correct Answer

Explanation

Q28:

Algebra > Identities

Medium

The value of $\frac{325 \times 325 \times 325+175 \times 175 \times 175}{325 \times 325-325 \times 175+175 \times 175}$ is

143755

1125

9575

500

Correct Answer

Option 4

Correct Answer

Explanation

Q29:

Geometry > Triangles

Medium

Given below are two statements: Statement I: In $\triangle A B C, A B=6 \sqrt{3} \mathrm{~cm}, A C=12 \mathrm{~cm}$ and $B C=6 \mathrm{~cm}$, then angle $B=90^{\circ}$ Statement II: In $\triangle A B C$, is an isosceles with $A C=B C$. If $A B^{2}=2 AC^{2}$, Then angle $C=90^{\circ}$ In the light of the above statement, choose the correct answer form the question below.

Both Statement I and Statement II are true

Both Statement I and Statement II are false

Statement I is true but Statement II is false

Statement I is false but Statement II is true

Correct Answer

Option 1

Correct Answer

Explanation

Q30:

Geometry > Trigonometry

Easy

Given below are two statement: Statement I: If $\sin (\theta)=\frac{5}{13}$, then the value of $\tan (\theta)=\frac{5}{12}$ Statement II: if $\cot (\theta)=\frac{12}{5}$, then the value of $\sin (\theta)=\frac{5}{12}$ In the light of the above statements, choose the correct answer form the question below:

Both Statement I and Statement II are true

Both Statement I and Statement II are false

Statement I is true but Statement II is false

Statement I is false but Statement II is true

Correct Answer

Option 3

Correct Answer

Explanation

Q31:

Number System > Unit Digit

Easy

A two digit number is 7 times the sum of its two digits. The number that is formed by reversing its digits is 18 less than the original number. What is the number?

Correct Answer

Option 2

Correct Answer

Explanation

Q32:

Algebra > Linear Equation

Hard

If $\dfrac{a}{b+c}=\dfrac{b}{c+a}=\dfrac{c}{a+b}=k$ then value of $k$ is

$\pm \frac{1}{2}$

$\frac{1}{2}$ or $-1$

$-1$

$\frac{1}{2}$

Correct Answer

Option 2

Correct Answer

Explanation

Q33:

Geometry > Circles

Medium

The equation of the circle which passes through the point $(4,5)$ and its centre at $(2,2)$ is

$(x-2)+(y-2)=13$

$(x-2)^{2}+(y-2)^{2}=13$

$x^{2}+y^{2}=13$

$(x-4)^{2}+(y-5)^{2}=13$

Correct Answer

Option 2

Correct Answer

Explanation

JIPMAT 2022 Quantitative Ability Past Year Question Paper

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