CAT Questions

Q:

If (2a + 3b)/(5a - 3b) = 23/5 , then the value of ba is ?

A) 5 B) 4
C) 20 D) 28
 
Answer & Explanation Answer: C) 20

Explanation:

Given (2a + 3b)/(5a - 3b) = 23/5
=> 10a + 15b = 115a - 69b
=> 105a = 84b => 5a = 4b
a/b = 4/5 => a=4 & b=5
=> bxa = 5x4 = 20.

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7 11000
Q:

In one hour, a boat goes 12 km/hr along the stream and 6 km/hr against the stream. The speed of the boat in still water (in km/hr) is:

A) 9 B) 8
C) 7 D) 7.5
 
Answer & Explanation Answer: A) 9

Explanation:

Speed in still water = Average of Speed in Upstream and speed in Downstream

= 1/2 (12 + 6) kmph = 9 kmph.

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Filed Under: Boats and Streams
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21 10998
Q:

The average age of a couple is 24 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child ?

A) 2 yrs B) 4 yrs
C) 3 yrs D) 5 yrs
 
Answer & Explanation Answer: A) 2 yrs

Explanation:

29 x 2 = 58
20 x 3 = 60
         -----------
               2 years

Therefore, the age of child is 2 years.

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Filed Under: Problems on Ages
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18 10994
Q:

The modulus of elasticity for mild steel is approximately equal to

A) 210 kN/mm2 B) 100 kN/mm2
C) 80 kN/mm2 D) 10 kN/mm2
 
Answer & Explanation Answer: A) 210 kN/mm2

Explanation:

It is useful to have a property of a material that is independent of the size of the sample and can be use to compare its elastic properties with another - this is called the Modulus of Elasticity for the material.

The modulus of elasticity is defined as:

 

Modulus of elasticity = Stress / Strain

 

There are three types of moduli. They are :

(a) the Young Modulus - tensile and compression longitudinal stress

(b) the shear modulus - a shearing stress

(c) the bulk modulus - volume changes of the specimen.

 

mod-compressor1528180544.jpg image

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Filed Under: Physics
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2 10986
Q:

Maximum age limit of President of India

A) 30 B) 35
C) 45 D) None of the above
 
Answer & Explanation Answer: D) None of the above

Explanation:

There is no maximum age limit for the President of India. Minimum age limit for president of India is 35 years.

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Filed Under: Indian Politics
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12 10979
Q:

If k : l = 4 : 3 and l : m = 5 : 3, then find k : l : m ?

A) 18 : 24 : 11 B) 9 : 15 : 1
C) 20 : 15 : 9 D) 21 : 7 : 3
 
Answer & Explanation Answer: C) 20 : 15 : 9

Explanation:

Given k : l = 4 : 3
l : m = 5 : 3

Then k : l : m = 20 : 15 : 9

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Filed Under: Ratios and Proportions
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12 10968
Q:

Pigeon:Peace::White flag:?

A) Surrender B) War
C) Victory D) friendship
 
Answer & Explanation Answer: A) Surrender

Explanation:

Pigeon is a symbol of peace and white flag is a symbol of surrender.

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Filed Under: Analogy
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18 10963
Q:

Sonika invested an amount of Rs.5800 for 2 years. At what rate of compound interest will she get an amount of Rs.594.50 at the end of 2 years ?

A) 6.5% B) 6%
C) 5% D) 4.5%
 
Answer & Explanation Answer: C) 5%

Explanation:

C.I = P1+r100t-1

 

594.5 = 58001+r1002-1

 594.55800+1=1+r1002

 

r100=1.05-1=0.05=> r = 5 % .

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Filed Under: Compound Interest
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13 10961