Number System Questions Practice Question and Answer

Q:

A number is divided by 6 and 5 is added to this quotient Again sum is divided by 9 and the quotient obtained is 1. Find the number.

867 0

  • 1
    24
    Correct
    Wrong
  • 2
    42
    Correct
    Wrong
  • 3
    54
    Correct
    Wrong
  • 4
    30
    Correct
    Wrong
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Answer : 1. "24"

Q:

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

867 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:

What value will come in place of question mark (?) in the questions given below?

837 ÷ ? × 0.8 = 9.3 

864 0

  • 1
    72
    Correct
    Wrong
  • 2
    78
    Correct
    Wrong
  • 3
    76
    Correct
    Wrong
  • 4
    75
    Correct
    Wrong
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Answer : 1. "72 "

Q:

If ' n ' be any natural number , then by which number ( n4-n ) is always divisible ? 

861 0

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

Q:

If the product of four consecutive natural numbers increased by a natural number p, is a perfect square; then the value of p is: 

857 0

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

Q:

The greatest number which when divided by 989 and 1327 leaves remainder 5 and 7 respectively is

857 0

  • 1
    8
    Correct
    Wrong
  • 2
    16
    Correct
    Wrong
  • 3
    24
    Correct
    Wrong
  • 4
    32
    Correct
    Wrong
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Answer : 3. "24 "

Q:

The smallest 5-digit number divisible by 41 is:

856 0

  • 1
    10045
    Correct
    Wrong
  • 2
    10041
    Correct
    Wrong
  • 3
    10004
    Correct
    Wrong
  • 4
    41000
    Correct
    Wrong
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Answer : 3. "10004"

Q:

The number will be, whose square is equal to the difference between the squares of 975 and 585, is:

855 0

  • 1
    780
    Correct
    Wrong
  • 2
    390
    Correct
    Wrong
  • 3
    1560
    Correct
    Wrong
  • 4
    130
    Correct
    Wrong
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Answer : 1. "780 "

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