Common Admission Test (CAT) Questions and Answers with Explanation

Q:

A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17th innings ?

A) 34	B) 36
C) 35	D) 37

Answer & Explanation Answer: D) 37

Explanation:

16x + 85 = 17(x + 3)

x = 34 + 3 = 37

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Q:

What should come in place of the question mark(?) in the following questions ?

$3 \frac{1}{6} + 4 \frac{1}{2} - 2 \frac{2}{3} - 1 \frac{11}{12} = ?$

A) 1 7/12	B) 1 5/12
C) 3 7/12	D) 3 1/12

Answer & Explanation Answer: D) 3 1/12

Explanation:

? = (3 + 4 - 2 - 1) + ( 1/6 + 1/2 - 2/3 - 11/12)

= 4 + [(2+6-8-11)/12]

= 4 - (11/12 )= 31/12.

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Q:

Tally package is developed by

A) Tally Solutions	B) Coral Softwares
C) Vedika Softwares	D) Peutronics

Answer & Explanation Answer: A) Tally Solutions

Explanation:

Tally package is developed by Tally Solutions.

Tally Solutions, then known as Peutronics, was co-founded in 1986 by Shyam Sunder Goenka and his son Bharat Goenka.

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Q:

Find the quadratic equations whose roots are the reciprocals of the roots of $2 x^{2} + 5 x + 3$ ?

A) $3 x^{2} + 5 x + 2 = 0$

B) $5 x^{2} + 3 x + 2 = 0$

C) $3 x^{2} - 5 x - 2 = 0$

D) None

A) A	B) B
C) C	D) D

Answer & Explanation Answer: A) A

Explanation:

The quadratic equation whose roots are reciprocal of $2 x^{2} + 5 x + 3 = 0$ can be obtained by replacing x by 1/x.

Hence, 2(1/x)(1/x)+ 5(1/x) + 3 = 0

=> $3 x^{2} + 5 x + 2 = 0$

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Q:

If 15% of x = 20% of y, then x:y is ___?

A) 4:3	B) 5:4
C) 4:5	D) 3:4

Answer & Explanation Answer: A) 4:3

Explanation:

Given 15% of x = 20% of y

=> 15x = 20y

=> x/y = 20/15

=> x : y = 4 : 3

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Q:

Which figure completes the series?

Question Figures :: Answer Figures ::

101558010123.png image

A B C D E 1 2 3 4 5

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: A) 1

Explanation:

The pattern followed in the given figures is

One, two, three, one, two, three.....arcs get inverted sequentially. This inversion takes place in an Anti Clock Wise direction.

Hence, figure 1) will come in the next to complete the series.

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Q:

egbindinatl correct spelling

A) Television	B) Dining table
C) Door step	D) Telephone

Answer & Explanation Answer: B) Dining table

Explanation:

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Q:

Complete the number series?

11, 12.2, 14.6, 18.2, ?

A) 21.8	B) 23
C) 24.6	D) 25

Answer & Explanation Answer: B) 23

Explanation:

The given number series 11, 12.2, 14.6, 18.2, ?

11

11 + 1.2 = 12.2

12.2 + 2.4 = 14.6

14.6 + 3.6 = 18.2

18.2 + 4.8 = 23

Hence, the next number in the given number series is 23.

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