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JIPMAT 2023 quant Paper Solution

Question 1.

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Given below are two statements:

Statement (I):
4 boys and 8 girls completed 1/3 of work in 5 days. After that 3 boys and 3 girls increased, and they completed another 1/3 of work in 3 days. If the remaining work is to be completed in 2 days, then the number of girls that should be increased is 32.

Statement (II):
The ratio of time taken by A and C to do a work is 1:2 respectively. B is 166 (2/3)% more efficient than C. Time taken by A to complete 6% of work is 6 days.

Then, the time taken by B and C together to complete the whole work is 54 (6/11) days.

In light of the above statements, choose the most appropriate 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 2.

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The number of integral solutions of the equation 7(y+1y)2(y2+1y2)=9 is 7\left(y+\frac{1}{y}\right)-2\left(y^2+\frac{1}{y^2}\right)=9 \text { is }

A
0
B
1
C
2
D
3

Question 3.

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Given below are two statements:

Statement (I): The difference, the sum, and the product of two numbers are in the ratio 1: 5: 12. The product of the two numbers is 18.

Statement (II): The last digit in the decimal representation of 291 is 6.

In light of the above statements, choose the most appropriate 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 4.

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In a Women's Chess Championship having 300 entrants, a player is eliminated whenever she loses a match. It is given that no match results in a draw. The number of matches that are played in the entire Championship is:


A
301
B
300
C
299
D
298

Question 5.

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The total number of seconds in P weeks, P days, P hours, P minutes, and P seconds is:


A
11580P
B
11581P
C
694860P
D
694861P

Question 6.

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Sumit has Rs. 90000 with him. He purchases three items A, B, and C for Rs. 15000, Rs. 13000, and Rs. 35000 respectively and puts the remaining money in a bank deposit that pays compound interest @15% per annum. After 2 years, he sells off the three items at 80% of their original price and also withdraws his entire money from the bank by closing the account. What is the total change in his asset?


A
-4.152%
B
3.152%
C
-4.325%
D
5.552%

Question 7.

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How many proper divisors (that is, divisors other than 1 or 7200) does 7200 have?


A
54
B
52
C
20
D
18

Question 8.

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If the difference between the circumference and radius of a circle is 37 cm, using π = 22/7, what is the circumference (in cm) of the circle?


A
42 cm
B
46 cm
C
44 cm
D
38 cm

Question 9.

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Let A and B be two events such that P(A)=0.25, P(B)=0.50 and P(A ∩ B)=0.14. The probability that neither A nor B occurs is:

A
0.09
B
0.19
C
0.39
D
0.29

Question 10.

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Which of the following statements are True in the context of circles?

  • A. A tangent of a circle touches it at two points.
  • B. A circle can have two parallel tangents at the most.
  • C. There is no tangent to a circle passing through a point inside the circle.

Choose the correct answer from the options given below:


A
A and B Only
B
A, B and C
C
A and C Only
D
B and C Only
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