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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

The area of an equilateral triangle is 49√3 cm2. Find its side (in cm).

 

A) 7 B) 14
C) 28 D) 42
 
Answer & Explanation Answer: B) 14

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

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Q:

If two letters are taken at random from the word HOME, what is the probability that none of the letters would be vowels?

A) 1/6 B) 1/2
C) 1/3 D) 1/4
 
Answer & Explanation Answer: A) 1/6

Explanation:

P(first letter is not vowel) = 24

 

P(second letter is not vowel) = 13

 

So, probability that none of letters would be vowels is = 24×13=16

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Filed Under: Probability

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Q:

A man takes 6 hours 15 minutes in walking a distance and riding back to the starting place. He could walk both ways in 7 hours 45 minutes. The time taken by him to ride both ways, is 

A) 4 hours B) 4 hours 30 minutes
C) 4 hours 45 minutes D) 5 hours
 
Answer & Explanation Answer: C) 4 hours 45 minutes

Explanation:

Time taken in walking both ways = 7 hours 45 minutes                     --------(i)

Time taken in walking one way and riding back= 6 hours 15 minutes-------(ii)

By equation (ii)*2 -(i), we have

Time taken to man ride both ways, = 12 hours 30 minutes - 7 hours 45 minutes

                                                        = 4 hours 45 minutes

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Filed Under: Time and Distance

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Q:

Find the volume (in cm3) of a hemisphere of diameter 14 cm.

 

 

A) 512.33 B) 718.67
C) 628 D) 825
 
Answer & Explanation Answer: B) 718.67

Explanation:
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Filed Under: Area
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Q:

Direction: What should come in the place of question mark (?) in the following number series?

9, 11, 16, 26, ?, 69

A) 31 B) 38
C) 43 D) 45
 
Answer & Explanation Answer: C) 43

Explanation:

Double Difference pattern is followed in the above series. +2, +5, + 10, +17, +26

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , GATE

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Q:

If (7x+5) deg and (x+5) deg are complementary angles, then find the value of x.

 

 

A) 10 B) 20
C) 30 D) 40
 
Answer & Explanation Answer: A) 10

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

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Q:

A Certain sum of money an amounts to Rs 2500 in a span Of 5 years and further to Rs.3000 in a span of 7 years at simple interest The sum is ?

A) Rs. 1800 B) Rs. 2000
C) Rs. 1400 D) Rs. 1250
 
Answer & Explanation Answer: D) Rs. 1250

Explanation:

2500 in 5th year and 3000 in 7th year
So in between 2 years Rs. 500 is increased => for a year 500/2 = 250
So, per year it is increasing Rs.250 then in 5 years => 250 x 5 = 1250
Hence, the initial amount must be 2500 - 1250 = Rs. 1250

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Filed Under: Simple Interest
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Q:

In a pot, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk, the pot would be full and ratio of milk and water would become 6 : 5. Find the capacity of the pot ?

A) 11 lit B) 22 lit
C) 33 lit D) 44 lit
 
Answer & Explanation Answer: B) 22 lit

Explanation:

Let the capacity of the pot be 'P' litres.
Quantity of milk in the mixture before adding milk = 4/9 (P - 8)
After adding milk, quantity of milk in the mixture = 6/11 P.
6P/11 - 8 = 4/9(P - 8)
10P = 792 - 352 => P = 44.

The capacity of the pot is 44 liters.

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Filed Under: Alligation or Mixture
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

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