Quantitative Aptitude - Arithmetic Ability Questions

Q:

Find out the wrong term in the following number series.

4, 16, 37, 58, 81.

A) 16 B) 37
C) 81 D) 4
 
Answer & Explanation Answer: C) 81

Explanation:

The series follows the following pattern.

 

4

 

16 = 42

 

37 = 12+62

 

58 = 32+72

 

81 52+82.

 

Here every number is based on the digits of previous number. Hence, 81 is the wrong number in the given series.

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Filed Under: Odd Man Out
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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 58084
Q:

A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs.482 more, if the interest was payable half yearly than if it was payable annually . The sum is

A) 10000 B) 20000
C) 40000 D) 50000
 
Answer & Explanation Answer: B) 20000

Explanation:

Let sum=Rs.x

 

C.I. when compounded half yearly = x1+101004-x=464110000

 

C.I. when compounded annually =x201002-x=1125

 464110000x-1125x=482

 

=> x=20000

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Filed Under: Compound Interest
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278 58046
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 57972
Q:

Find the odd man out?

3, 12, 39, 120, 364

A) 364 B) 120
C) 39 D) 3
 
Answer & Explanation Answer: A) 364

Explanation:

The given number series is 3, 12, 39, 120, 364

33 + 32 = 3 + 9 = 1212 + 33 = 12 + 27 = 3939 + 34 = 39 + 81 = 120120 + 35 = 120 + 243 = 363 (Not 364)

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7 57867
Q:

What is the value of (1/√3 - sin45)?

 

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

Explanation:
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Filed Under: Simplification
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0 57525
Q:

Suppose 0 < θ < 90, then for every θ 4 sin2 θ + 1 is greater than or equal to ?

 

A) 2 B) 4 sin θ 
C) 4 cos θ  D) 4 tan θ
 
Answer & Explanation Answer: B) 4 sin θ 

Explanation:
We know that,
Arithmetic mean ≥ Geometric mean
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Filed Under: Simplification
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Q:

Find the odd man out of the following number sequence?

100, 101, 97, 105, 90

A) 90 B) 105
C) 97 D) 101
 
Answer & Explanation Answer: B) 105

Explanation:

The given number series 100, 101, 97, 105, 90

100

100 + 1^2 = 101

101 - 2^2 = 97

97 + 3^2 = 106 ( not 105)

106 - 4^2 = 90

 

Hence, the odd man in the given series is 105.

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