Quantitative Aptitude - Arithmetic Ability Questions

Q:

One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?

A) 3/13 B) 1/13
C) 3/52 D) 9/52
 
Answer & Explanation Answer: A) 3/13

Explanation:

Clearly, there are 52 cards, out of which there are 12 face cards.

P (getting a face card) = 12/52=3/13.

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Filed Under: Probability

100 59148
Q:

If the radius of a circle is decreased by 50%, find the percentage decrease in its area.

A) 55% B) 65%
C) 75% D) 85%
 
Answer & Explanation Answer: C) 75%

Explanation:

Let original radius = R. 

 

New radius = 50100R50100R 

 

Original area =R2  and new area = πR2

 

3πR24*1πR2*100 

 

Decrease in area = πR22=πR24 = 75%

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

147 59086
Q:

Find the Next Number in the given number series?

3, 10.5, 36.75, 128.625, ?

A) 450.187 B) 442.151
C) 441.231 D) 456.852
 
Answer & Explanation Answer: A) 450.187

Explanation:

Pattern is

      • 3
      • 3 x 3.5 = 10.5
      • 10.5 x 3.5 = 36.75
      • 36.75 x 3.5 = 128.625
      • 128.625 x 3.5 = 450.187
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Filed Under: Odd Man Out
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

9 59005
Q:

The salaries of A, B, and C are in the ratio of 1 : 2 : 3. The salary of B and C together is Rs. 6000. By what percent is the salary of C more than that of A?

A) 100 % B) 200%
C) 300% D) 600%
 
Answer & Explanation Answer: B) 200%

Explanation:

Let the salaries of A, B, C be x, 2x and 3x respectively.

Then,2x + 3x = 6000  => x = 1200.

A's salary = Rs. 1200, B's salary = Rs. 2400, and Cs salary Rs. 3600.
Excess of C's salary over A's=[ (2400 /1200) x 100] = 200%.

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Filed Under: Ratios and Proportions

144 58986
Q:

Find the missing number in the given number series?

5 11 21 44 ? 175

A) 86 B) 78
C) 94 D) 102
 
Answer & Explanation Answer: A) 86

Explanation:

Here the given number series is 5  11  21  44  ?  175

 

Now the given series follows a pattern, that

 

x2 + 1, x2 - 1, x2 + 2, x2 - 2, x2 + 3, x2 - 3,...

 

Then the missing number is x2 - 2

 

= 44 x 2 - 2 = 88 - 2 = 86

 

Hence, the missing number in the number series is 86.

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2 58946
Q:

Select the odd figure one out the given series.

 

 

A) a B) d
C) c D) b
 
Answer & Explanation Answer: B) d

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

4 58678
Q:

A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?

A) 3/7 B) 4/7
C) 1/8 D) 3/4
 
Answer & Explanation Answer: B) 4/7

Explanation:

Let number of balls = (6 + 8) = 14.

Number of white balls = 8.

P (drawing a white ball) = 8 /14 = 4/7.

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Filed Under: Probability

96 58650
Q:

Simplify : (27)-23

 

A) 1/18 B) 9
C) 1/9 D) 18
 
Answer & Explanation Answer: C) 1/9

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

1 58595