Quantitative Aptitude - Arithmetic Ability Questions

Q:

The sum of ages of Ram and his son is 48. If his uncle's age is also included the average becomes 40. What is the age of Ram's uncle?

A) 48 B) 50
C) 72 D) 34
 
Answer & Explanation Answer: C) 72

Explanation:
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Filed Under: Problems on Ages
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Q:

Two numbers are 50% and 75% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?

A) 50 B) 25
C) 75 D) 100
 
Answer & Explanation Answer: D) 100

Explanation:
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Filed Under: Problems on Numbers
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Q:

The largest 4 digit number exactly divisible by 88 is

A) 8888 B) 9999
C) 9944 D) 9988
 
Answer & Explanation Answer: C) 9944

Explanation:

To find the largest 4 digit number exactly divisible by 88,

We should divide the largest possible 4 digit number by 88, and if we get any remainder than subtract it from that largest number.

The largest possible 4 digit number is 9999

Now,

 

88) 9999 (113
      88
  _______
      119
        88
  _______
        319
        264
  _______
          55
  _______

 

Therefore, the largest 4 digit number exactly divisible by 88 is given by

9999 - 55 = 9944.

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Filed Under: Problems on Numbers
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Q:

The perimeter of a rectangle whose length is 6 metre more than its breadth is 84 metre. What is the area of the triangle whose base is equal to the diagonal of the rectangle and height is equal to the length of the rectangle?

A) 360sq metre B) 380 sq metre
C) 360 metre D) 400 sq metre
 
Answer & Explanation Answer: A) 360sq metre

Explanation:

Let the breadth of rectangle be x m.

Then, the length of rectangle = (x+ 6) m

Perimeter of rectangle = 2 (x+x+ 6) m

Therefore, 2 (x+x+ 6) = 84 m

4x+ 12 = 84

4x= 84 –12
4x = 72/4 = 18
Therefore, length of rectangle = 18 + 6 = 24 m = height of triangle

Diagonal of rectangle = √(324+576) = 30 m = base of triangle

Therefore, are of triangle =1/2× base × height =1/2× 24 × 30 = 360 sq. m

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Filed Under: Area
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Q:

Divide 150 into two parts such that the sum of their reciprocals is 3/112. Calculate both the parts.

A) 50, 90 B) 70, 80
C) 60, 90 D) 50, 100
 
Answer & Explanation Answer: B) 70, 80

Explanation:
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Filed Under: Problems on Numbers
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Q:

A dishonest dealer professes to sell his goods at cost price but uses a weight of 875 gms for the kilogram weight. His gain in percentage is

A) 17% B) 14 5/7%
C) 14 2/7% D) 14%
 
Answer & Explanation Answer: C) 14 2/7%

Explanation:
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Filed Under: Profit and Loss
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Q:

If cot2A -­ cos2A = x, then value of x is

A) tan2Asec2A B) cotAcosA
C) cot2Acos2A D) tanAsecA
 
Answer & Explanation Answer: C) cot2Acos2A

Explanation:
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Filed Under: Simplification
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Q:

A race has three parts. The speed and time required to complete the individual parts for a runner is displayed on the following chart:
                       

                         Part I     Part II       Part III

Speed (kmph)       9            8              7.5

Time (minutes)     50          80             100

What is the average speed of this runner?

A) 8.17 kmph B) 8.00 kmph
C) 7.80 kmph D) 7.77 kmph
 
Answer & Explanation Answer: B) 8.00 kmph

Explanation:

Avg speed = Tot dist/Tot time = (45+64+75)/23 = 184/23

= 8 kmph
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Filed Under: Time and Distance
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