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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A work which could be finished in 11 days was finished 4 days earlier after 4 more men joined. The number of men employed was ?

A) 7 B) 8
C) 9 D) 10
 
Answer & Explanation Answer: A) 7

Explanation:

As the work is same
M1D1 = M2D2

Here Let the number of men employed was M
=> 11M = 7(M+4)
=> 11M - 7M = 28
=> M = 7

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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4 5499
Q:

From a deck of 52 cards, a 5 card hand is dealt.How may distinct five card hands are there if the queen of spades and the four of diamonds must be in the hand?

A) 52C5 B) 50C3
C) 52C4 D) 50C4
 
Answer & Explanation Answer: B) 50C3

Explanation:

If the queen of spades and the four of diamonds must be in hand,we have 50 cards remaining out of which we are choosing 3.

 

So, 50C3

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Filed Under: Permutations and Combinations

0 5496
Q:

An unbiased die is rolled. Find the probability of getting a multiple of 3?

A) 1/6 B) 1/3
C) 5/6 D) None of these
 
Answer & Explanation Answer: B) 1/3

Explanation:

S = { 1, 2, 3, 4, 5, 6 } 

=> n(S) = 6

E = { 3, 6}

=> n(E) = 2

Therefore, P(E) = 2/6 =1/3

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Filed Under: Probability

5 5492
Q:

When John arrives in New York,he has eight stops to see, but he has time only to visit six of them.In how many different ways can he arrange his schedule in New York?

A) 20610 B) 24000
C) 20160 D) 21000
 
Answer & Explanation Answer: C) 20160

Explanation:

He can arrange his schedule in 8P6 = 20160 ways

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Filed Under: Permutations and Combinations

1 5490
Q:

The Simple Interest & True Discount on a certain sum of money for a given time & at a given rate are Rs 85 & Rs.80.The sum is:

A) Rs.1350 B) Rs.1360
C) Rs.1316 D) Rs.1200
 
Answer & Explanation Answer: B) Rs.1360

Explanation:

Sum = [(S.I x T.D)/(S.I-T.D)] = (85 x 80)/(85-80) = Rs.1360

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Filed Under: True Discount

1 5488
Q:

Two equal sums were lent, one at the rate of 11% per annum for five years and the other at the rate of 8% per annum for six years, both under simple interest. If the difference in interest accrued in the two cases is Rs 1008. Find the sum?

A) Rs. 14,400 B) Rs. 15,600
C) Rs. 14,850 D) Rs. 15,220
 
Answer & Explanation Answer: A) Rs. 14,400

Explanation:

Let the required Sum = Rs.S

 From the given data,

 1008 = [(S x 11 x 5)/100] - [(S x 8 x 6)/100]

 => S = Rs. 14,400.

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Filed Under: Simple Interest
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18 5485
Q:

If 16 men working 7 hours day can plough a fieid in 4l days, inhow many days will 14 men working 12 hours a clay plough the samefield ?

A) 46 B) 32
C) 35 D) 30
 
Answer & Explanation Answer: B) 32

Explanation:

(Men 14 : 16) : (Hrs/Day 12 : 7) :: 48 : x
14 * 12 * x = 16 * 7 * 48 or x = 32

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Filed Under: Chain Rule

11 5475
Q:

100 percent of which number is 20?

A) 100 B) 500
C) 20 D) 0
 
Answer & Explanation Answer: C) 20

Explanation:

Let the rquired number be 'P'

According to the question,

100 x P100 = 20=> P = 20 x 100100 = 20

Hence, 100 percent of the number 20 is 20.

 

Now, you can also try for

20 percent of what number is 100

20 x P100 = 100=> P = 100 x 10020 = 500=> P = 500

Hence, 20 percent of the number 500 is 100.

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Filed Under: Percentage
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