Aptitude and Reasoning Questions

Q:

In following number series only one number is wrong. Find out that wrong or odd number in the series?

6, 78, 858, 7722, 54055, 270270

A) 270270 B) 54055
C) 7722 D) 858
 
Answer & Explanation Answer: B) 54055

Explanation:

Here the given series follows a pattern that, multiplying the number with odd numbers in decreasing order starting with 13. That is,

 

6 × 13 = 78

 

65 × 11 = 858

 

858 × 9 = 7722

 

7722 × 7 = 54054

 

54054 × 5 = 270270

 

Hence, the wrong number is 54055

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Filed Under: Odd Man Out
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8 55550
Q:

If UPTO is coded as PTUO, how is CANT coded?

 

A) NCTA B) ANCT
C) ANTC D) NTCA
 
Answer & Explanation Answer: B) ANCT

Explanation:
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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

3 55539
Q:

The ratio of two numbers is 3 : 4 and their H.C.F is 4. Their L.C.M is 

A) 12 B) 16
C) 24 D) 48
 
Answer & Explanation Answer: D) 48

Explanation:

Let the numbers be  3x and 4x . Then their H.C.F = x. So, x=4

 Therefore, The numbers are 12 and 16

 L.C.M of 12 and 16 = 48

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Filed Under: HCF and LCM

127 55482
Q:

I. a2-7a+12 = 0,

II. b2-3b+2 = 0

Solve both the equations to find the values of a and b  ?

A) if a > b B) if a < b
C) if the relationship between a and b cannot be established. D) if a ≤ b
 
Answer & Explanation Answer: A) if a > b

Explanation:

I.  (a - 3)(a - 4) = 0

 

=> a = 3, 4

 

II.   (b - 2)(b - 1) = 0

 

=> b = 1, 2

 

=> a > b

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Filed Under: Statement and Conclusions
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1 55348
Q:

1, 2, 8, 33, ?

Find the next number in the given series?

A) 148 B) 145
C) 143 D) 141
 
Answer & Explanation Answer: A) 148

Explanation:

1 x 1 + 1 x 1 = (1 + 1) = 2

2 x 2 + 2 x 2 = (4 + 4) = 8

8 x 3 + 3 x 3 = (24 + 9) = 33

33 x 4 + 4 x 4 = (132 + 16) = 148

148 x 5 + 5 x 5 = (740 + 25) = 765.

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Filed Under: Odd Man Out
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10 55248
Q:

Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:

A) 3/20 B) 29/34
C) 47/100 D) 13/102
 
Answer & Explanation Answer: D) 13/102

Explanation:

Let S be the sample space.

 

Then, n(S) = 52C2=(52 x 51)/(2 x 1) = 1326.

 

Let E = event of getting 1 spade and 1 heart.

 

n(E)= number of ways of choosing 1 spade out of 13 and 1 heart out of 13 = 13C1*13C1 = 169.

 

P(E) = n(E)/n(S) = 169/1326 = 13/102.

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Filed Under: Probability

95 55197
Q:

Pick the odd one out from the given number series?

21, 24, 33, 49, 74

A) 21 B) 24
C) 33 D) 49
 
Answer & Explanation Answer: A) 21

Explanation:

The given number series follows a pattern that,

19 + 12 = 20 (not 21)20 + 22 = 2424 + 32 = 3333 + 42 = 4949 + 52 = 74 

 

Hence, the odd number in the given number series is 21.

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Filed Under: Number Series
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8 55182
Q:

The area of the largest circle that can be drawn inside a rectangle with sides 18cm by 14cm is

A) 49 B) 154
C) 378 D) 1078
 
Answer & Explanation Answer: B) 154

Explanation:

The diameter is equal to the shortest side of the rectangle.

 So radius= 14/2 = 7cm. 

Therefore,  area of circle =πr2=227×49=154cm2

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Filed Under: Area
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