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JIPMAT 2024 quant Paper Solution

Question 1.

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

A
426
B
326
C
536
D
436

Question 2.

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A candidate scoring x%x \% marks in an examination fails by ' aa ' marks while another candidate who scores y%y \% marks, gets ' bb ' marks more than the minimum required pass marks. What is the maximum marks for the examination ?

A
100(a+b)(xy)\frac{100(a+b)}{(x-y)}
B
100(ab)(x+y)\frac{100(a-b)}{(x+y)}
C
100(a+b)(yx)\frac{100(a+b)}{(y-x)}
D
100(ab)(xy)\frac{100(a-b)}{(x-y)}

Question 3.

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An equilateral triangle ABCA B C is inscribed in a circle of radius 203 cm20 \sqrt{3} \mathrm{~cm}. The centroid of the triangle ABCA B C is at a distance dd from the vertex AA. then dd is equal to ?

A
15 cm15 \mathrm{~cm}
B
20 cm20 \mathrm{~cm}
C
203 cm20 \sqrt{3} \mathrm{~cm}
D
303 cm30 \sqrt{3} \mathrm{~cm}

Question 4.

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

A
25
B
15
C
16
D
20

Question 5.

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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%25 \% and 15%15 \%
(B) 30%30 \% and 10%10 \%
(C) 35%35 \% and 5%5 \%
(D) 15%15 \% and 20%20 \%

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

Question 6.

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A man sold 35th \frac{3}{5}^{\text {th }} of his articles at a gain of 20%20 \% and the remaining at the cost price. The gain earned in the transaction is

A
8%8 \%
B
14%14 \%
C
12%12 \%
D
16%16 \%

Question 7.

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Given below are two statements :Given that a:b=5:3a: b=5: 3 and b:c=2:5b: c=2: 5, then ( cac-a ) will be equal toStatement I: 10(a+c)10(a+c)
Statement II: 10a+25b10 a+25 bIn the light of the above statements, choose the correct answer from the options given below :

A
Both Statement I and Statement II are true
B
Both Statement I and Statement II are false
C
Statement I is true but Statement II is false
D
Statement I is false but Statement II is true

Question 8.

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

A
135\frac{1}{35}
B
335\frac{3}{35}
C
537\frac{5}{37}
D
235\frac{2}{35}

Question 9.

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

A
It shall increase by 1
B
It shall increase by 141 \cdot 4
C
It shall remain the same
D
It shall increase by 2

Question 10.

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Choose the correct answer from the options given below :

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