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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

The area of the circle is 220 sq.m, the area of the square inscribed in a circle will be

A) 49 B) 70
C) 140 D) 150
 
Answer & Explanation Answer: C) 140

Explanation:

area of a square = 12diagonal2

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22 13687
Q:

123 typists typeed 984 papers in 1/15 hour. The number of papers typed for  minute by a average typist is:

A) 1 B) 2
C) 3 D) 5
 
Answer & Explanation Answer: B) 2

Explanation:

Use unitary method:

In \inline \frac{1}{15} hours, 123 typists can type 984 paper

In 1 minute, 123 typists can type  \inline \frac{984}{4} = 246 papers

In 1 minute, 1 typist can type \inline \frac{246}{123} =2 papers      [ Hint \inline \frac{1}{15} hours = 4 minutes]

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20 13673
Q:

If a number 6573547x45 is divisible by 9, then find the value of x.

 

A) 7 B) 0
C) 8 D) 6
 
Answer & Explanation Answer: C) 8

Explanation:
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Q:

The tangent at any point of the circle is _________________ to the radius through the point of contact.

 

A) parallel B) intersecting
C) perpendicular D) equal
 
Answer & Explanation Answer: C) perpendicular

Explanation:
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Q:

Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is  ?

A) 16/19 B) 1
C) 3/2 D) 17/20
 
Answer & Explanation Answer: D) 17/20

Explanation:

n(S) = 20
n(Even no) = 10 = n(E)
n(Prime no) = 8 = n(P)
P(E U P) = 10/20 + 8/20 - 1/20 = 17/20

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Filed Under: Probability
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15 13637
Q:

How many arrangements of the letters of the word ‘BENGALI’ can be made if the vowels are never together.

A) 120 B) 640
C) 720 D) 540
 
Answer & Explanation Answer: C) 720

Explanation:

There are 7 letters in the word ‘Bengali of these 3 are vowels and 4 consonants.

 

Considering vowels a, e, i as one letter, we can arrange 4+1 letters in 5! ways in each of which vowels are together. These 3 vowels can be arranged among themselves in 3! ways.

 

Total number of words = 5! x 3!= 120 x 6 = 720

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Filed Under: Permutations and Combinations

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Q:

If n is natural number , then 6n2+6n is always divisible by :

A) 6 only B) 6 and 12 both
C) 12 only D) by 18 only
 
Answer & Explanation Answer: B) 6 and 12 both

Explanation:

6n2+6n=6nn+1, which is always divisible by 6 and 12 both, since n(n+1) is always even.

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12 13631
Q:

Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?

A) 12,421 B) 9,423
C) 11,600 D) 10,500
 
Answer & Explanation Answer: D) 10,500

Explanation:

The ratio of their investments:
50000x36 : 80000x30 = 3 : 4
Simran's share of profit = (24500x3/7) = Rs.10,500.

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Filed Under: Partnership
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