Common Admission Test (CAT) Questions and Answers with Explanation

Q:

In a competitive exam, the number of passed students was four times the number of failed students. If there had been 35 fewer appeared students and 9 more had failed, the ratio of passed and failed students would have been 2 : 1, then the total number of students appered for the exam ?

A) 175	B) 165
C) 155	D) 145

Answer & Explanation Answer: C) 155

Explanation:

Let the number of failed students be x

=> Number of passed students = 4x

So total number of students was 5x

From the given data,

If total number of students be 5x – 35

=> 4x-35-9/x+9 = 2/1

=> 4x – 44 = 2(x + 9)

=> 4x – 2x = 18 + 44

=> x = 31

Total number = 31×5

= 155

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Filed Under: Ratios and Proportions
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43 19674

Q:

A student multiplied a number by 2/5 instead of 5/2. What is the percentage error in evaluation ?

A) 52%	B) 64%
C) 84%	D) 77%

Answer & Explanation Answer: C) 84%

Explanation:

Let the number be 'x'

Then, according to the given data,

$\frac{\frac{5}{2} x - \frac{2}{5} x}{\frac{5}{2} x} x 100$

= $\frac{21}{25} x 100$

= 84%

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Filed Under: Percentage
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14 19674

Q:

Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions ?

A) 27 sec	B) 31 sec
C) 23 sec	D) 29 sec

Answer & Explanation Answer: A) 27 sec

Explanation:

Time taken to meet for the first time anywhere on the track

= length of the track / relative speed

= 300 / (15 + 25)5/18 = 300x 18 / 40 x 5 = 27 seconds.

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Filed Under: Time and Distance
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24 19640

Q:

If 6 years are subtracted from the present age of Arun and the remainder is divided by 18, then the present age of his grandson Gokul is obtained. If Gokul is 2 years younger to Madan whose age is 5 years, then what is the age of Arun ?

A) 72 years	B) 54 years
C) 60 years	D) 47 years

Answer & Explanation Answer: C) 60 years

Explanation:

Let the Present age of arun is x
Gokul's age = 5-2 = 3
x-6/18 = 3
x-6 = 54
x = 60
Arun's present age = 60 years

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Filed Under: Problems on Ages
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22 19566

Q:

What are the types of activity within demand management?

A) Activity based, Business activity patterns and user profiles	B) Analytical based, Shaping user behaviour
C) Activity based, Access Management	D) Analytical based, Business activity patterns and user profiles

Answer & Explanation Answer: A) Activity based, Business activity patterns and user profiles

Explanation:

In economics, we come across Demand management in macro-levels and at micro-levels within individual organizations.

Demand management is a planning methodology used to forecast, plan for and manage the demand for products and services.

Activity based, Business activity patterns and user profiles are the types of activity within demand management.

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Filed Under: Business Awareness
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41 19547

Q:

Choose the missing terms in the given series from the four alternatives given below.

GMQ, JOT, MQW, ?

A) PTZ	B) ORY
C) VXY	D) PSZ

Answer & Explanation Answer: D) PSZ

Explanation:

The first letter moves three steps forward. The second letter moves two steps forward. The third letter moves three steps forward.

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Filed Under: Number Series
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7 19528

Q:

Find the next number in the given number sequence?

4, 15, 37, 81, ?

A) 196	B) 169
C) 144	D) 121

Answer & Explanation Answer: B) 169

Explanation:

The given number series follows a pattern that, 4, 15, 37, 81, ?

4

4 + 11 = 15

15 + 22 = 37

37 + 44 = 81

81 + 88 = 169

Hence, the next number in the sequence is 169.

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Filed Under: Number Series
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10 19418

Q:

Rearrange the parts of the sentence in correct order.

Amartya Sen lays claim

P-to a history of writing
Q-some of the finest research papers
R-that have been published

A) QRP	B) PQR
C) RQP	D) QPR

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