Quantitative Aptitude - Arithmetic Ability Questions

Q:

In a single throw with 2 dices, what is probability of neither getting an even number on one and nor a multiple of 3 on other?

A) 11/36 B) 25/36
C) 5/6 D) 1/6
 
Answer & Explanation Answer: B) 25/36

Explanation:

We first calculate the probability of getting an even number on one and a multiple of 3 on other,Here, n(s) = 6x6 = 36 and

E = (2,3) (2,6) (4,3) (4,6) (6,3) (6,6) (3,2) (3,4)(3,6) (6,2)(6,4)

n(E) = 11P(E) = 11/36Required probability = 1-11/36 = 25/36

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Q:

21% of 500 + 31% of 1100 - 30% of 790 = ? 

A) 209 B) 290
C) 309 D) 390
 
Answer & Explanation Answer: A) 209

Explanation:

Given 21% of 500 + 31% of 1100 - 30% of 790 = ?

 

? = 21 x 5 + 31 x 11 - 3 x 79

? = 105 + 341 - 237

? = 446 - 237

? = 209.

 

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Q:

After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. The difference between the ages of the replaced and the new members?

A) 16 years B) 15 years
C) 14 years D) 13 years
 
Answer & Explanation Answer: B) 15 years

Explanation:

Let avg ages of 5 members at present is G

And age of new member is m and an older is n

Required = (5G + m - n)/5 = G - 3

m - n = 15 years

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Q:

Calculate the periodic interest rate corresponding to 9.5% compounded monthly

A) 0.7916 B) 0.8916
C) 0.9916 D) 0.6916
 
Answer & Explanation Answer: A) 0.7916

Explanation:

i=j/m

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0 3434
Q:

From well shuffled standard pack of 52 playing cards,one card is drawn. What is the probability that it is either a red card or black card?

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

Explanation:

P(red cards)=26/52

P(black cards)=26/52

P(red or black cards)=26/52+26/52=1

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Q:

One card is drawn from deck of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the ball drawn is red.

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

Explanation:

Total number of elementary events = 52

 

There are 26 red cards,out of which one red card can be drawn in 26C1 ways =26.

 

So,required probability = 26/52 = 1/2

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Q:

A drum contains 80 litres of ethanol. 20 litres of this liquid is removed and replaced with water. 20 litres of this mixture is again removed and replaced with water. How much water (in litres) is present in this drum now?

A) 45 B) 40
C) 35 D) 44
 
Answer & Explanation Answer: C) 35

Explanation:
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Q:

In an election between two candidates, the winning candidate has got 70% of the votes polled and has won by 15400 votes. What is the number of votes polled for loosing candidate?

A) 38500 B) 11550
C) 26950 D) 13550
 
Answer & Explanation Answer: B) 11550

Explanation:
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