JIPMAT 2024 PYQsQuantitative Ability. Free, no login required.

Q1:

Number System > Remainder

Easy

What will be the least number which when divided by 12, 21 and 35 leaves 6 as a remainder in each case?

426

326

536

436

Correct Answer

Option 1

Correct Answer

Explanation

Q2:

Arithmetic > Percentages

Medium

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 ?

$\frac{100(a+b)}{(x-y)}$

$\frac{100(a-b)}{(x+y)}$

$\frac{100(a+b)}{(y-x)}$

$\frac{100(a-b)}{(x-y)}$

Correct Answer

Option 3

Correct Answer

Explanation

Q3:

Geometry > Triangles

Easy

An equilateral triangle $A B C$ is inscribed in a circle of radius $20 \sqrt{3} \mathrm{~cm}$. The centroid of the triangle $A B C$ is at a distance $d$ from the vertex $A$. then $d$ is equal to ?

$15 \mathrm{~cm}$

$20 \mathrm{~cm}$

$20 \sqrt{3} \mathrm{~cm}$

$30 \sqrt{3} \mathrm{~cm}$

Correct Answer

Option 3

Correct Answer

Explanation

Q4:

Arithmetic > Simple & Compound Interest

Easy

An amount doubles itself at compound interest in 5 years. How many years will it take to make the amount 16 times itself ?

Correct Answer

Option 4

Correct Answer

Explanation

Q5:

Arithmetic > Profit & Loss

Medium

A company offers four types of successive discounts A - D on the marked price of an article. Arrange these successive discounts A - D in ascending order based on the final price of the article after discounts. (A) $25 \%$ and $15 \%$ (B) $30 \%$ and $10 \%$ (C) $35 \%$ and $5 \%$ (D) $15 \%$ and $20 \%$

(A), (B), (D), (C)

(C), (B), (A), (D)

(B), (A), (D), (C)

(C), (A), (B), (D)

Correct Answer

Option 2

Correct Answer

Explanation

Q6:

Arithmetic > Profit & Loss

Easy

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

$8 \%$

$14 \%$

$12 \%$

$16 \%$

Correct Answer

Option 3

Correct Answer

Explanation

Q7:

Arithmetic > Ratio, Proportion & Variation

Easy

Given below are two statements : Given that $a: b=5: 3$ and $b: c=2: 5$, then value of ( $c-a$ ) will be equal to Statement I: $10(a+c)$ Statement II: $10 a+25 b$ 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 2

Correct Answer

Explanation

Q8:

Number System > HCF & LCM

Medium

The HCF and LCM of two numbers $\mathrm{x}$ and $\mathrm{y}$ are respectively 6 and 210 . If $x+y=72$, then $\frac{1}{x}+\frac{1}{y}$ is equal to :

$\frac{1}{35}$

$\frac{3}{35}$

$\frac{5}{37}$

$\frac{2}{35}$

Correct Answer

Option 4

Correct Answer

Explanation

Q9:

Arithmetic > Averages

Easy

The average of five consecutive numbers is a. If the next two numbers are also included, how will the average vary?

It shall increase by 1

It shall increase by $1 \cdot 4$

It shall remain the same

It shall increase by 2

Correct Answer

Option 1

Correct Answer

Explanation

Q10:

Algebra > Indices

Easy

Choose the correct answer from the options given below :

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

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

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

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

Correct Answer

Option 3

Correct Answer

Explanation

Q11:

Number System > Divisibility Rules

Medium

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 $a \neq b$ ?

Correct Answer

Option 2

Correct Answer

Explanation

Q12:

Geometry > Triangles

Medium

An equilateral triangle $\mathrm{ABC}$ is inscribed in a circle of radius $20 \sqrt{3} \mathrm{~cm}$. What is the length of the side of the triangle ?

$30 \mathrm{~cm}$

$40 \mathrm{~cm}$

$50 \mathrm{~cm}$

$60 \mathrm{~cm}$

Correct Answer

Option 4

Correct Answer

Explanation

Q13:

Arithmetic > Percentages

Conceptual

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.

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 4

Correct Answer

Explanation

Q14:

Number System > Miscellaneous

Medium

Arrange the following fractions in descending order. (A) $\frac{5}{9}$ (B) $\frac{7}{11}$ (C) $\frac{8}{15}$ (D) $\frac{11}{17}$

(A), (B), (C), (D)

(A), (C), (D), (B)

(D), (B), (C), (A)

(D), (B), (A), (C)

Correct Answer

Option 4

Correct Answer

Explanation

Q15:

Algebra > Indices

Easy

Simplify : $\dfrac{\sqrt[4]{0.0625}+\sqrt[3]{0.008}+\sqrt{0.09}-1}{\sqrt[3]{62 \cdot 5 \times \sqrt[5]{32}}}$

$1.25$

$\frac{1}{5}$

$0$

$24$

Correct Answer

Option 3

Correct Answer

Explanation

Q16:

Arithmetic > Time, Speed & Distance

Medium

Ram and Shyam run a race between points $A$ and $B, 5 \mathrm{~km}$ apart. Ram starts at 9 AM from A at a speed of $5 \mathrm{~km} / \mathrm{hr}$, reaches $B$ and returns to $A$ at the same speed. Shyam starts at $9: 45 \mathrm{AM}$ from $\mathrm{A}$ at a speed of $10 \mathrm{~km} / \mathrm{hr}$, reaches $B$ and comes back to $A$ at the same speed. At what time do Ram and Shyam meet each other ?

$10: 00 \mathrm{AM}$

$10: 10 \mathrm{AM}$

$10: 20 \mathrm{AM}$

$10: 30 \mathrm{AM}$

Correct Answer

Option 2

Correct Answer

Explanation

Q17:

Arithmetic > Time, Speed & Distance

Medium

Ram and Shyam run a race between points $A$ and $B, 5 \mathrm{~km}$ apart. Ram starts at 9 AM from $A$ at a speed of $5 \mathrm{~km} / \mathrm{hr}$, reaches $B$ and returns to $A$ at the same speed. Shyam starts at $9: 45 \mathrm{AM}$ from $\mathrm{A}$ at a speed of $10 \mathrm{~km} / \mathrm{hr}$, reaches $B$ and comes back to $A$ at the same speed. At what time does Shyam overtake Ram ?

$10: 20 \mathrm{AM}$

$10: 30 \mathrm{AM}$

$10: 40 \mathrm{AM}$

$10: 50 \mathrm{AM}$

Correct Answer

Option 2

Correct Answer

Explanation

Q18:

Algebra > Quadratic Equations

Easy

If the roots of the equation $x^{2}-p x+54=0$ are in the ratio $2: 3$, then value of $p$ is:

-21

Correct Answer

Option 4

Correct Answer

Explanation

Q19:

Geometry > Solids

Medium

If each side of a cube is decreased by $19 \%$, then the decrease in surface area is :

$40 \%$

$34.39 \%$

$38.4 \%$

$19 \%$

Correct Answer

Option 2

Correct Answer

Explanation

Q20:

Geometry > Trigonometry

Medium

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 : $2 \sin 45^{\circ} \cos 45^{\circ}-\tan 45^{\circ} \cot 45^{\circ}=0$

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

Q21:

Algebra > Progression & Series

Medium

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 $1+\frac{1}{2}+\frac{1}{2^{2}}+\frac{1}{2^{3}}+$ 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.

Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of (A).

Both Assertion (A) and Reason (R) are true but Reason (R) is NOT the correct explanation of (A).

(A) is true but (R) is false.

(A) is false but (R) is true.

Correct Answer

Option 4

Correct Answer

Explanation

Q22:

Arithmetic > Time & Work

Hard

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 $\mathrm{B}$ and $\mathrm{C}$ together ?

2 days

4 days

8 days

16 days

Correct Answer

Option 3

Correct Answer

Explanation

Q23:

Modern Math > Probability

Easy

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?

$5 \%$

$15 \%$

$35 \%$

$45 \%$

Correct Answer

Option 3

Correct Answer

Explanation

Q24:

Arithmetic > Profit & Loss

Easy

By selling two articles for ₹ 800 , a person gains the cost price of three articles. The profit percent is :

$125 \%$

$140 \%$

$120 \%$

$150 \%$

Correct Answer

Option 4

Correct Answer

Explanation

Q25:

Arithmetic > Time, Speed & Distance

Easy

A person travels three equal distances at a speed of 'a' $\mathrm{km} / \mathrm{hr}$, 'b' $\mathrm{km} / \mathrm{hr}$ and ' $c$ ' $\mathrm{km} / \mathrm{hr}$ respectively. What is the average speed for the whole journey?

$\frac{a b c}{3(a b+b c+a c)}$

$\frac{a b c}{a b+b c+a c}$

$\frac{a b+b c+a c}{abc}$

$\frac{3 a b c}{a b+b c+a c}$

Correct Answer

Option 4

Correct Answer

Explanation

Q26:

Algebra > Quadratic Equations

Medium

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 :

$\frac{a}{b c}$

$\frac{\mathrm{b}}{\mathrm{ac}}$

$\frac{c}{a b}$

$\frac{1}{a b c}$

Correct Answer

Option 2

Correct Answer

Explanation

Q27:

Geometry > Triangles

Easy

The sides of four triangles are given below. Which of them forms a right triangle ? (A) $20 \mathrm{~cm}, 22 \mathrm{~cm}, 24 \mathrm{~cm}$ (B) $15 \mathrm{~cm}, 32 \mathrm{~cm}, 37 \mathrm{~cm}$ (C) $11 \mathrm{~cm}, 60 \mathrm{~cm}, 61 \mathrm{~cm}$ (D) $6 \mathrm{~cm}, 8 \mathrm{~cm}, 10 \mathrm{~cm}$

(A) and (B) only

(D) only

Correct Answer

Option 4

Correct Answer

Explanation

Q28:

Algebra > Quadratic Equations

Easy

The factors of polynomial $x^{3}-6 x^{2}+11 x-6$ are :

$(x+1)(x+2)(x+3)$

$(x-1)(x+2)(x+3)$

$(x-1)(x-2)(x-3)$

$(x-1)(x-2)(x+3)$

Correct Answer

Option 3

Correct Answer

Explanation

Q29:

Geometry > Quadrilaterals

Medium

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

(C), (D), (B), (A)

(A), (B), (C), (D)

(A), (D), (B), (C)

(D), (B), (C), (A)

Correct Answer

Option 3

Correct Answer

Explanation

Q30:

Algebra > Quadratic Equations

Medium

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 ( $\left.p, q\right)$ will be :

$\left(\frac{5}{3}, 4\right)$

$\left(\frac{-5}{3},-4\right)$

$\left(\frac{5}{2}, \frac{3}{2}\right)$

$\left(4, \frac{-3}{5}\right)$

Correct Answer

Option 3

Correct Answer

Explanation

Q31:

Geometry > Trigonometry

Medium

If $\sin \theta+\cos \theta=\frac{\sqrt{7}}{2}$, then $(\sin \theta-\cos \theta)$ is equal to :

$\frac{1}{2}$

$\sqrt{2}$

Correct Answer

Option 2

Correct Answer

Explanation

Q32:

Modern Math > Permutation & Combination

Hard

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?

315

545

330

Correct Answer

Option 1

Correct Answer

Explanation

Q33:

Geometry > Triangles

Medium

The points $(2,2),(6,3)$ and $(4,11)$ are vertices of :

Equilateral triangle

Isosceles triangle

Right-angled triangle

Scalene triangle

Correct Answer

Option 3

Correct Answer

Explanation

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