Quantitative Aptitude - Arithmetic Ability Questions

Q:

A card is drawn from a pack of 52 cards. The probability of getting a queen of the club or a king of the heart is?

A) 1/26 B) 1/13
C) 2/13 D) 1/52
 
Answer & Explanation Answer: A) 1/26

Explanation:

Here in this pack of cards, n(S) = 52

Let E = event of getting a queen of the club or a king of the heart

Then, n(E) = 2

P(E) = n(E)/n(S) = 2/52 = 1/26

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Filed Under: Probability
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11 4421
Q:

What is the probability that a number is divisible by 4?

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

Explanation:

Probability is Number of favourable outcomes by total outcomes

Total comes = 2 (Divisible or not)

Favourable = 1 (Divisible)

 

Hence, probability = 1/2.

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35 4421
Q:

36 of what number is 18?

A) 38 B) 42
C) 50 D) 62
 
Answer & Explanation Answer: C) 50

Explanation:

Let the required number be 'p'

36 of what number is 18 implies 36% of p = 18

=> 36 x p/100 = 18

=> p = 1800/36

=> p = 50.

 

Hence, 36% of 50 is 18.

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Filed Under: Percentage
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9 4420
Q:

There is a 3 digited number. 3rd digit is the square root of the 1st digit. 2nd digit is the sum of 1st and 3rd. And that number is divisible by 2,3,6,7. What is that number?

A) 121 B) 943
C) 462 D) None
 
Answer & Explanation Answer: C) 462

Explanation:

Assume that the number is taken as XYZ.
Condition 1 => Z = sq.root(x) => Possible digits of X is 1,4,9
Condition 2 => Y = X + Z
X Y Z
1 2 1
4 6 2
9 12 3 => (wrong because it is 4 digit.)

and 121 is not divisible by 2

The answer is 462.

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Filed Under: Numbers
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3 4419
Q:

If 78K928L is divisible by 6, then which of the following can Q and R take ?

A) K=2 & L=3 B) K=1 & L=4
C) K=1 & L=2 D) K=3 & L=3
 
Answer & Explanation Answer: B) K=1 & L=4

Explanation:

As per divisibility rule a number is divisible by 6 means it should be divisible by 2 and 3

case 1 : the divisibility rule for 2 is the number should be end with even number
in this case R =2 & R=4


case 2 : The divisibility rule for 3 is the sum of numbers should be divisible by 3
so if we take option (2) Q=1 & R=4 the sum is 39
if we take option (3) Q=1 & R=2 the sum is 37

So Option (2) is correct 39 is divided by 3

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Filed Under: Problems on Numbers
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4 4418
Q:

Find the present worth of a bill of Rs.28000 due 2 years at 12% compound interest. Also find the true discount.

A) 300 B) 350
C) 250 D) 275
 
Answer & Explanation Answer: A) 300

Explanation:

PW = Amount1+R100T=28001+121002   = Rs.2500 

 

TD = Amount - PW = 2800 - 2500 = Rs.300

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Filed Under: True Discount

0 4416
Q:

In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by

A) 20 m B) 25 m
C) 22.5 m D) 9 m
 
Answer & Explanation Answer: A) 20 m

Explanation:

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Filed Under: Races and Games

2 4416
Q:

The average age of husband, wife and their child 3 years ago was 24 years and that of wife and child 5 years ago was 25 years. The present age of the husband is:

A) 21 yrs B) 27 yrs
C) 29 yrs D) 31 yrs
 
Answer & Explanation Answer: A) 21 yrs

Explanation:

Sum of ages of husband, wife and child= (24 × 3) + 9 = 81 years

Sum of ages of wife and child => 25 × 2 + 10 = 50 + 10 = 60 years

Age of husband = 81 - 60 = 21 years.

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Filed Under: Problems on Ages
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5 4413