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 Numbers Questions

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Q:

How many numbers are there from 300 to 700 which are divisible by 2, 3 and 7?

A) 7 B) 8
C) 9 D) 10
 
Answer & Explanation Answer: C) 9

Explanation:
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Q:

Given that the polynomial (x2+ ax+ b) leaves that same remainder when by (x –1) or (x + 1) What are the values of a and b respectively?

A) 4 and 0 B) 0 and 3
C) 3 and 0 D)  0 and any interger
 
Answer & Explanation Answer: D)  0 and any interger

Explanation:

Since x^2+ ax + b when divided by x-1 or x+1 leaves the same remainder

So on putting x=1 and x=-1 we get the same value

1+a+b = 1-a+b

2a=0

a=0

here b can take any value as it will always get cancelled out

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Q:

Consider two-digit numbers which remain the same when the digits interchange their positions. What is the average of such two-digit numbers?

 

A) 33 B) 44
C) 55 D) 66
 
Answer & Explanation Answer: C) 55

Explanation:

All such 2 digit numbers are 11,22,33,44....... upto 99

Forms an AP

So sum = n/2(a+l)

= 9/2(11+99)

Average = sum/9 = ½(11+99) = 55

 

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Q:

What is the sum of all prime numbers between 60 and 80?

A) 272 B) 284
C) 351 D) 414
 
Answer & Explanation Answer: C) 351

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Q:

What is the unit place digit in the expansion of  773?

A) 1 B) 3
C) 7 D) 9
 
Answer & Explanation Answer: C) 7

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0 1150
Q:

Which one of the following is an irrational number?

A) √59059 B) 231/593
C) 0.454545.... D) 0.121122111222
 
Answer & Explanation Answer: D) 0.121122111222

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Q:

Consider  the  multiplication  999  ×  abc  =  def132  in  decimal  notation, where  a,  b,  c,  d,  e  and  f  are digits. What are the values of a, b, c, d, e and f respectively?

A) 6, 6, 8, 6, 8, 7 B) 8, 6, 8, 6, 7, 8
C) 6, 8, 8, 7, 8, 6 D) 8, 6, 8, 8, 6, 7
 
Answer & Explanation Answer: D) 8, 6, 8, 8, 6, 7

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0 1234
Q:

Which of the following statements is not true?

A) The difference of two prime numbers, both greater than 2, is divisible by 2 B) For two different integers m, n and a prime number p, if p divides the product m × n, then p divides either m or n.
C)  If a number is of the form 6n –1 (n being a natural number), then its is a prime number. D) There is only one set of three prime numbers such that there is a gap of 2 between two adjacent prime numbers.
 
Answer & Explanation Answer: D) There is only one set of three prime numbers such that there is a gap of 2 between two adjacent prime numbers.

Explanation:
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