JIPMAT Question Paper 2024 | JIPMAT Quants

JIPMAT Question Paper | JIPMAT Quants Question Paper

JIPMAT Question Paper Quants. Solve questions from JIPMAT 2024 Question Paper and check the solutions to get adequate practice.

JIPMAT 2024 Question Paper - Quants

A company offers four types of successive discounts A− D (as given below) on the marked price of an article. Arrange these successive discounts A− D in ascending order based on the final selling price of the article after discounts.
(a) 25% and 15%
(b) 30% and 10%
(c) 35% and 5%
(d) 15% and 20%
1. (A), (B), (D), (C)
2. (C), (B), (A), (D)
3. (B), (A), (D), (C)
4. (C), (A), (B), (D)
Choice B
(C), (B), (A), (D)
JIPMAT 2024 Question Paper - Quants

Arrange the following fractions in descending order.
(a) $\frac{5}{9}$ (b) $\frac{7}{11}$ (c) $\frac{8}{15}$ (d) $\frac{11}{17}$
1. (A), (B), (D), (C)
2. (C), (B), (A), (D)
3. (B), (A), (D), (C)
4. (C), (A), (B), (D)
Choice D
(C), (A), (B), (D)
JIPMAT 2024 Question Paper - Quants

If the seven-digit number 94 a 29 b 6 is divisible by 72 , then what is the value of $(2 a+3 b)$ for $b \neq 3$ ?
1. 35
2. 37
3. 23
4. 21
Choice B
37
JIPMAT 2024 Question Paper - Quants

Match List-I with List-II

Choose the correct answer from the options given below:
1. (A) - (III), (B) - (I), (C) - (IV), (D) - (II)
2. (A) - (II), (B) - (III), (C) - (I), (D) - (IV)
3. (A) - (II), (B) - (IV), (C) - (I), (D) - (III)
4. (A) - (IV), (B) - (III), (C) - (II), (D) - (I)
Choice C
(A) - (II), (B) - (IV), (C) - (I), (D) - (III)
JIPMAT 2024 Question Paper - Quants

An amount doubles itself at compound interest in 5 years. How many years will it take to make the amount 16 times itself?
1. 25
2. 15
3. 16
4. 20
Choice D
20
JIPMAT 2024 Question Paper - Quants

A candidate scoring x% marks in an examination fails by 'a'marks while another candidate who scores y% marks, gets ' b ' marks more than the minimum required pass marks. What is the maximum marks for the examination?
1. $\frac{100(a+b)}{(x-y)}$
2. $\frac{100(a-b)}{(x+y)}$
3. $\frac{100(a+b)}{(y-x)}$
4. $\frac{100(a-b)}{(x-y)}$
Choice D
$\frac{100(a-b)}{(x-y)}$
JIPMAT 2024 Question Paper - Quants

What will be the least number which when divided by 12, 21 and 35 leaves 6 as a remainder in each case?
1. 426
2. 326
3. 536
4. 43
Choice A
426
JIPMAT 2024 Question Paper - Quants

An equilateral triangle $A B C$ is inscribed in a circle of radius $20 \sqrt{3} cm$ . The centroid of the triangle $A B C$ is at a distance $d$ from the vertex $A$ . Then $d$ is equal to?
1. 15 cm
2. 20 cm
3. $20 \sqrt{3} cm$
4. $30 \sqrt{3} cm$
Choice A
15 cm
JIPMAT 2024 Question Paper - Quants

Simplify: $\frac{\sqrt[4]{0.0625}+\sqrt[3]{0.008}+\sqrt{0.09}-1}{\sqrt[3]{62 \cdot 5 \times \sqrt[5]{32}}}$
1. (a) 1.25
2. $\frac{1}{5}$
3. 0
4. 24
Choice C
0
JIPMAT 2024 Question Paper - Quants

A man sold $\frac{3}{5}^{\text {th }}$ of his articles at a gain of $20 \%$ and the remaining at the cost price. The gain earned in the transaction is
1. $8 \%$
2. $14 \%$
3. $12 \%$
4. $16 \%$
Choice C
$12 \%$
JIPMAT 2024 Question Paper - Quants

Given below are two statements:
In class ' X ' of 30 students, 24 passed in first division; in another class ' Y ' of 35 students, 28 passed in first division.
Statement I:
Class ' X ' has more percentage of students getting first division.
Statement II:
Both classes have equal percentage of students getting first division.
In the light of the above statements, choose the correct answer from the options given below:
1. Both Statement I and Statement II are true
2. Both Statement I and Statement II are false
3. Statement I is true but Statement II is false
4. Statement I is false but Statement II is true
Choice D
Statement I is false but Statement II is true
JIPMAT 2024 Question Paper - Quants

Given below are two statements: (linear equations)
Given that a: b = 5: 3 and b: c = 2: 5, then ( c− a ) will be equal to
Statement I:
10(a+ c)
Statement II:
10a+ 25b
In the light of the above statements, choose the correct answer from the options given below:
1. Both Statement I and Statement II are true
2. Both Statement I and Statement II are false
3. Statement I is true but Statement II is false
4. Statement I is false but Statement II is true
Choice B
Both Statement I and Statement II are false
JIPMAT 2024 Question Paper - Quants

The HCF and LCM of two numbers $x$ and $y$ are respectively 6 and 210 .
If $x+y=72$ , then $\frac{1}{x}+\frac{1}{y}$ is equal to:
1. $\frac{1}{35}$
2. $\frac{3}{35}$
3. $\frac{5}{37}$
4. $\frac{2}{35}$
Choice D
$\frac{2}{35}$
JIPMAT 2024 Question Paper - Quants

An equilateral triangle $A B C$ is inscribed in a circle of radius $20 \sqrt{3} cm$ . What is the length of the side of the triangle?
1. 30 cm
2. 40 cm
3. 50 cm
4. 60 cm
Choice D
60 cm
JIPMAT 2024 Question Paper - Quants

The average of five consecutive numbers is a. If the next two numbers are also included, how will the average vary?
1. It shall increase by 1
2. It shall increase by 1.4
3. It shall remain the same
4. It shall increase by 2
Choice A
It shall increase by 1
JIPMAT 2024 Question Paper - Quants

Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9AM from A at a speed of 5 km/hr , reaches B and returns to A at the same speed. Shyam starts at 9: 45 AM from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed.
At what time do Ram and Shyam meet each other?
1. 10: 00AM
2. 10: 10AM
3. 10: 20AM
4. 10: 30AM
Choice B
10: 10AM
JIPMAT 2024 Question Paper - Quants

Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 AM from A at a speed of 5 km/hr , reaches B and returns to A at the same speed. Shyam starts at 9: 45 AM from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time does Shyam overtake Ram?
1. 10: 20 AM
2. 10: 30 AM
3. 10: 40 AM
4. 10: 50 AM
Choice B
10: 30 AM
JIPMAT 2024 Question Paper - Quants

A is 40% less efficient than B who can do the same work in 20% less time than C. If A and B together can complete 80% work in 12 days, then in how many days 60% work can be completed by B and C together?
1. 2 days
2. 4 days
3. 8 days
4. 16 days
Choice C
8 days
JIPMAT 2024 Question Paper - Quants

19. If the roots of the equation $x^2-p x+54=0$ are in the ratio $2: 3$ , then value of $p$ is:
1. 18
2. 21
3. -21
4. 15
Choice D
15
JIPMAT 2024 Question Paper - Quants

The points (2,2), (6,3) and (4,11) are vertices of
1. Equilateral triangle
2. Isosceles triangle
3. Right-angled triangle
4. Scalene triangle
Choice C
Right-angled triangle
JIPMAT 2024 Question Paper - Quants

The sides of four triangles are given below. Which of them forms a right triangle?
1. 20 cm, 22 cm, 24 cm
2. 15 cm, 32 cm, 37 cm
3. 11 cm, 60 cm, 61 cm
4. 6 cm, 8 cm, 10 cm
Choice D
6 cm, 8 cm, 10 cm
JIPMAT 2024 Question Paper - Quants

If each side of a cube is decreased by 19%, then the decrease in surface area is
1. 40%
2. 34.39%
3. 38.4%
4. 19%
Choice B
34.39%
JIPMAT 2024 Question Paper - Quants

A person travels three equal distances at a speed of ' $a$ ' $km / hr$ , ' b ' km/hr and 'c' km/hr respectively. What is the average speed for the whole journey?
1. $\frac{a b c}{3(a b+b c+a c)}$
2. $\frac{a b c}{a b+b c+a c}$
3. $\frac{a b+b c+a c}{a b c}$
4. $\frac{3 a b c}{a b+b c+a c}$
Choice D
$\frac{3 a b c}{a b+b c+a c}$
JIPMAT 2024 Question Paper - Quants

If $\sin \theta+\cos \theta=\frac{\sqrt{7}}{2}$ , then $(\sin \theta-\cos \theta)$ is equal to
1. 0
2. $\frac{1}{2}$
3. 1
4. $\sqrt{2}$
Choice B
$\frac{1}{2}$
JIPMAT 2024 Question Paper - Quants

By selling two articles for ₹ 800, a person gains the cost price of three articles. The profit percent is:
1. 125%
2. 140%
3. 120%
4. 150%
Choice D
150%
JIPMAT 2024 Question Paper - Quants

Given below are two statements:
Statement I: $\frac{\cot 30^{\circ}+1}{\cot 30^{\circ}-1}=2\left(\cos 30^{\circ}+1\right)$ Statement II: $2 \sin 45^{\circ} \cos 45^{\circ}-\tan 45^{\circ} \cot 45^{\circ}=0$ In the light of the above statements, choose the correct answer from the options given below:
1. Both Statement I and Statement II are true
2. Both Statement I and Statement II are false
3. Statement I is true but Statement II is false
4. Statement I is false but Statement II is true
Choice A
Both Statement I and Statement II are true
JIPMAT 2024 Question Paper - Quants

If highest common factor of $x^2-p x-q$ and $5 x^2-$ $3 p x-15 q$ is $(x-3)$ , then value of $(p, q)$ will be:
1. $\left(\frac{5}{3}, 4\right)$
2. $\left(\frac{-5}{3},-4\right)$
3. $\left(\frac{5}{2}, \frac{3}{2}\right)$
4. $\left(4, \frac{-3}{5}\right)$
Choice C
$\left(\frac{5}{2}, \frac{3}{2}\right)$
JIPMAT 2024 Question Paper - Quants

The factors of polynomial $x^3-6 x^2+11 x-6$ are:
1. $(x+1)(x+2)(x+3)$
2. $(x-1)(x+2)(x+3)$
3. $(x-1)(x-2)(x-3)$
4. $(x-1)(x-2)(x+3)$
Choice C
$(x-1)(x-2)(x-3)$
JIPMAT 2024 Question Paper - Quants

Fifteen people from different places come together for a family reunion. Each one of them had two gifts each for every other person. When the gifts were exchanged, they hugged each other. What is the difference between the number of hugs and the number of gifts exchanged?
1. 315
2. 545
3. 330
4. 11
Choice A
315
JIPMAT 2024 Question Paper - Quants

A speaks the truth in 75% cases and B in 80% of the cases. In what percentage of cases are they likely to contradict each other in narrating the same incident?
1. 5%
2. 15%
3. 35%
4. 45%
Choice C
35%
JIPMAT 2024 Question Paper - Quants

If $\alpha$ and $\beta$ are the roots of the equation $a x^2+b x+c=$ 0 , then value of $\frac{1}{a \alpha+b}+\frac{1}{a \beta+b}$ is:
1. $\frac{ a }{ bc }$
2. $\frac{ b }{ ac }$
3. $\frac{ c }{ ab }$
4. $\frac{1}{a b c}$
Choice B
$\frac{ b }{ ac }$
JIPMAT 2024 Question Paper - Quants

A circle, square, equilateral triangle and regular pentagon have the same areas. Arrange the following in ascending order based on their perimeters.
(a) Circle
(b) Square
(c) Equilateral triangle
(d) Regular pentagon
1. (C), (D), (B), (A)
2. (A), (B), (C), (D)
3. (A), (D), (B), (C)
4. (D), (B), (C), (A)
Choice C
(A), (D), (B), (C)
JIPMAT 2024 Question Paper - Quants

Given below are two statements, one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): The sum of $n$ terms of the Progression $1+\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+$ $\qquad$ is $\frac{2^{ n -1}-1}{2^{ n -1}}$ . Reason (R): Sum of a geometric series having $n$ terms is given by $S_n=\frac{a\left(1-r^n\right)}{1-r}$ , where $a$ is the $1^{\text {st }}$ term and $r$ is the common ratio.
In the light of the above statements, choose the correct answer from the options given below:
1. Both Assertion (A) and Reason (R) are true and Reason ( $R$ ) is the correct explanation of (A).
2. Both Assertion (A) and Reason (R) are true but Reason (R) is NOT the correct explanation of (A).
3. (A) is true but (R) is false.
4. (A) is false but ( R ) is true.
Choice D
(A) is false but ( R ) is true.