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Q:

The shortest book in number of words?

A) John	B) Jude
C) Obadiah	D) Philemon

Answer & Explanation Answer: A) John

Explanation:

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Q:

Find the odd man out of the number series?

18, 37, 76, 155, 314, 635

A) 37	B) 155
C) 314	D) 635

Answer & Explanation Answer: D) 635

Explanation:

Given Number series is 18 37 76 155 314 635

follows a pattern that,

18

18 x 2 +1 = 37

37 x 2 +2 = 76

76 x 2 +3 = 155

155 x 2 +4 = 314

314 x 2 +5 = 633 not 635

Hence, the odd man is 635.

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Q:

Which of the following is a Composite number?

A) 0	B) 19
C) 29	D) 91

Answer & Explanation Answer: D) 91

Explanation:

Here in the given numbers 91 is a Composite number. Since it has factors of 7 and 13 other than 1 and itself.

Composite Numbers :

A composite number is a positive integer which is not prime (i.e., which has factors other than 1 and itself).

Examples :: 4, 6, 8, 12, 14, 15, 18, 20, ...

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Q:

Please enter the Missing number: 4 8 14 22 ?

A) 28	B) 32
C) 46	D) 36

Answer & Explanation Answer: B) 32

Explanation:

Here the given series follows a pattern that,

2²- 0 = 4

3²- 1 = 8

4²- 2 = 14

5²- 3 = 22

6²- 4 = 32

Hence, the missing number is 32

Method 2 ::

The difference between 4 and 8 is 4, the difference between 8 and 14 is 6, the difference between 14 and 22 is 8. So the next difference between 22 and the next number will be 10 since it follows (4,6,8,10 - add +2 each time)

Hence, 22 + 10 = 32 is the missing number.

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Q:

5 Digits Number?

What 5-digit number has the following features:

If we put the numeral 1 at the beginning, we get a number three times smaller than if we put the numeral 1 at the end of the number.

Answer

We can make an equation:

3(100000 + x) = 10x+1

(Why? Well, adding 100000 puts a 1 at the front of a five-digit number, and multiplying by 10 and adding 1 puts a 1 at the end of a number)

Solving this gives:

10x+1 = 3(100000 + x)
10x+1 = 300000 + 3x
10x = 299999 + 3x
7x = 299999
x = 299999/7 = 42857

The answer is 42857 (142857 is three times smaller than 428571).

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Q:

What is the value of a two–digit number?

A. The sum of the digits is 15.
B. The difference of the squares of the digits is 45.
C. The difference of their digits is 3.

A) B and C together are sufficient	B) Any one pair of A and B, B and C or C and A is sufficient
C) C and A together are sufficient	D) A and B together are sufficient

Answer & Explanation Answer: B) Any one pair of A and B, B and C or C and A is sufficient

Explanation:

From the given data,

Let the two gits of a number be x & y

A) x + y = 15

B) $x^{2} - y^{2} = 45$

(x+y) (x - y) = 45

C) x - y = 3

From any 2 of the given 3 statements, we can find that 2 digit number as

2x = 18 => x = 9

=> y = 6

Hence, 2 digit number is 96.

Any one pair of A and B, B and C or C and A is sufficient to find.

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Q:

Find the next number in the given number series?

0, 3, 8, 15, 24, ?

A) 35	B) 37
C) 34	D) 36

Answer & Explanation Answer: A) 35

Explanation:

Here the given number series is 0, 3, 8, 15, 24, ?

The next number in the given series can be found such a way that the number series follows a pattern,

$2^{2} - 4 = 0 3^{2} - 6 = 3 4^{2} - 8 = 8 5^{2} - 10 = 15 6^{2} - 12 = 24 7^{2} - 14 = 35 Hence, the next number in the iven series is 35 .$

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Q:

The ratio of Pens and Pencils in a shop is 3 : 2 respectively. The average number of Pens and Pencils is 180. What is the number of Pencils in the shop?

A) 444	B) 344
C) 244	D) 144

Answer & Explanation Answer: D) 144

Explanation:

Given ratio of pens and pencils = 3 :2

Number of Pens = 3x

Number of Pencils = 2x

Average number of pencils & Pens = $\frac{3 x + 2 x}{2} =$ 180

5x = 360

=> x = 72

Hence, the number of pencils = 2x = 72 x 2 = 144.

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