Number System Questions Practice Question and Answer

Q:

A number when divided by 192 gives a remainder of 54. What remainder would be obtained on dividing the same number by 16 ?

1556 0

  • 1
    2
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    6
    Correct
    Wrong
  • 4
    8
    Correct
    Wrong
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Answer : 3. "6"
Explanation :

Here, the first divisor 192 is a multiple of second divisor 16.

∴ Required remainder

= remainder obtained by dividing 54 by 16 = 6

Q:

What will be come in place of question mark(?) in the following number series?
13 , 14 , 30 , 93, ?, 1885

1555 0

  • 1
    358
    Correct
    Wrong
  • 2
    336
    Correct
    Wrong
  • 3
    364
    Correct
    Wrong
  • 4
    376
    Correct
    Wrong
  • 5
    356
    Correct
    Wrong
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Answer : 4. "376"

Q:

When (6767 +67) is divided by 68, the remainder is-

1554 0

  • 1
    13
    Correct
    Wrong
  • 2
    63
    Correct
    Wrong
  • 3
    66
    Correct
    Wrong
  • 4
    67
    Correct
    Wrong
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Answer : 3. "66"
Explanation :

(6767+ 67) = 67(6766 + 166)

As 66 is an even number

We know   6766 is an even number

We know   (6766 + 1) is perfectly divisible by (67 + 1)

i.e. 68

We know   The remainder = 66

(6767+ 67) = 67(6766 + 166)

Q:

What is the sum of two consecutive even numbers, the difference of whose square is 84? 

1554 0

  • 1
    42
    Correct
    Wrong
  • 2
    46
    Correct
    Wrong
  • 3
    38
    Correct
    Wrong
  • 4
    34
    Correct
    Wrong
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Answer : 1. "42 "

Q:

Which one of the following represents the number' eleven thousand eleven hundred eleven'?

1550 0

  • 1
    111111
    Correct
    Wrong
  • 2
    12111
    Correct
    Wrong
  • 3
    11000110011
    Correct
    Wrong
  • 4
    XIXIXI
    Correct
    Wrong
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Answer : 2. "12111 "

Q:

The east positive integer that should be subtracted from 3011 x 3012 so that the difference is a perfect square is-

1545 0

  • 1
    3009
    Correct
    Wrong
  • 2
    3010
    Correct
    Wrong
  • 3
    3011
    Correct
    Wrong
  • 4
    3012
    Correct
    Wrong
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Answer : 3. "3011"
Explanation :

We know that 3011 x 3012

= 3011 (3011 + 1)

= (3011)2 + 3011

We know    

Required least number = 3011

Q:

The product of two numbers is 45 and their difference is 4. The sum of squares of the two numbers is

1545 0

  • 1
    135
    Correct
    Wrong
  • 2
    240
    Correct
    Wrong
  • 3
    73
    Correct
    Wrong
  • 4
    106
    Correct
    Wrong
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Answer : 4. "106"

Q:

The number of pairs of natural numbers the difference of whose squares is 45 will be –

1543 0

  • 1
    2
    Correct
    Wrong
  • 2
    3
    Correct
    Wrong
  • 3
    6
    Correct
    Wrong
  • 4
    5
    Correct
    Wrong
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Answer : 2. "3"

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