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Q:

Which of the following numbers is composite?

 

A) 47 B) 57
C) 37 D) 67
 
Answer & Explanation Answer: A) 47

Explanation:
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Filed Under: Problems on Numbers
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Q:

Which of the following numbers is composite?

A) 241 B) 261
C) 271 D) 251
 
Answer & Explanation Answer: D) 251

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Q:

'P' is the smallest positive integer such that every positive integer N greater than 'P' can be written as a sum of two composite numbers. Then 'P' is

A) 10 B) 3
C) 11 D) 6
 
Answer & Explanation Answer: C) 11

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Q:

Which of the following numbers is not composite?

A) 209 B) 203
C) 161 D) 109
 
Answer & Explanation Answer: D) 109

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Filed Under: Problems on Numbers
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Q:

Number of composite numbers lying between 67 and 101 is

A) 27 B) 24
C) 26 D) 23
 
Answer & Explanation Answer: A) 27

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Q:

Consider the following statements in respect of two integers p and q (both > 1) which are relatively prime:

1) Both p and q may be prime numbers.

2) Both p and q may be composite numbers

3) one of p and q may be prime and the other composite.

Which of the above statements are correct?

 

 

A) 1 and 2 only B) 2 and 3 only
C) 1 and 3 only D) 1, 2 and 3
 
Answer & Explanation Answer: D) 1, 2 and 3

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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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Filed Under: Arithmetical Reasoning
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Q:

The probability that a number selected at random from the first 100 natural numbers is a composite number is  ?

A) 3/2 B) 2/3
C) 1/2 D) 34/7
 
Answer & Explanation Answer: A) 3/2

Explanation:

The number of exhaustive events = 100 C₁ = 100.

We have 25 primes from 1 to 100.

Number of favourable cases are 75.

Required probability = 75/50 = 3/2.

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Filed Under: Probability
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