Number System Questions Practice Question and Answer

Q:

Find the greatest number which divides 108, 124 and 156, leaving the same remainder. 

1490 0

  • 1
    18
    Correct
    Wrong
  • 2
    10
    Correct
    Wrong
  • 3
    12
    Correct
    Wrong
  • 4
    16
    Correct
    Wrong
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Answer : 4. "16 "

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Answer : 2. "47"

Q:

Two numbers are such that their difference, their sum and their product is in the ratio of 1: 7: 24. The product of numbers is

1483 0

  • 1
    24
    Correct
    Wrong
  • 2
    36
    Correct
    Wrong
  • 3
    48
    Correct
    Wrong
  • 4
    60
    Correct
    Wrong
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Answer : 3. "48"

Q:

A number when divided by 296 gives a remainder 75. When the same number is divided by 37 the remainder will be: 

1483 0

  • 1
    8
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    2
    Correct
    Wrong
  • 4
    11
    Correct
    Wrong
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Answer : 2. "1 "
Explanation :

Let number (dividend) be X.

∴ X = 296 × Q + 75 where Q is the quotient and can have the values 1, 2, 3 etc.

= 37 × 8 × Q + 37 × 2 + 1

= 37 (8Q + 2) + 1

Thus we see that the remainder is 1.

[Remark : When the second divisor is a factor of the first divisor, the second remainder is obtained by dividing the first remainder by the second divisor.

Hence, divide 75 by 37, the remainder is 1].

Q:

The largest three-digit number that gives the same remainder 2 when divided by 3, 5 and 9 is ________.

1479 0

  • 1
    999
    Correct
    Wrong
  • 2
    984
    Correct
    Wrong
  • 3
    998
    Correct
    Wrong
  • 4
    992
    Correct
    Wrong
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Answer : 4. "992"

Q:

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

1478 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:

The least number that must be added to 8961 to make it exactly divisible by 84 is 

1477 0

  • 1
    141
    Correct
    Wrong
  • 2
    107
    Correct
    Wrong
  • 3
    27
    Correct
    Wrong
  • 4
    57
    Correct
    Wrong
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Answer : 3. "27 "

Q:

A number consists of two digits. If the number formed by interchanging the digits is added to the original number, the resulting number (i.e. the sum) must be divisible by

1476 0

  • 1
    11
    Correct
    Wrong
  • 2
    9
    Correct
    Wrong
  • 3
    5
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
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Answer : 1. "11"
Explanation :

Let the number be 10x + y

After interchanging the digits,

the number obtained = 10y + x

According to the question,

Resulting number

= 10x + y + 10y + x

= 11x + 11y

= 11 (x + y)

which is exactly divisible by 11.

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