Number System Questions Practice Question and Answer

Q:

Which of the following numbers is not a prime number?

997 0

  • 1
    347
    Correct
    Wrong
  • 2
    461
    Correct
    Wrong
  • 3
    731
    Correct
    Wrong
  • 4
    227
    Correct
    Wrong
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Answer : 3. "731"

Q:

The sum of four numbers is 64. If you add 3 to the first number, 3 is subtracted from second number, the third is multiplied by 3 and the sum is divided by 3, then all the results are equal. What is the difference between the largest and the smallest of the original numbers?

993 0

  • 1
    32
    Correct
    Wrong
  • 2
    27
    Correct
    Wrong
  • 3
    21
    Correct
    Wrong
  • 4
    Cannot be determined
    Correct
    Wrong
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Answer : 1. "32"

Q:

In a two-digit number, its units digit exceeds its tens digit by 2 and that the product of the given number and the sum of its digits is equal to 460. The number is:

992 0

  • 1
    48
    Correct
    Wrong
  • 2
    64
    Correct
    Wrong
  • 3
    46
    Correct
    Wrong
  • 4
    36
    Correct
    Wrong
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Answer : 3. "46"

Q:

The sum of the squares of two natural consecutive odd numbers is 394. The sum of the numbers is –

990 0

  • 1
    24
    Correct
    Wrong
  • 2
    32
    Correct
    Wrong
  • 3
    40
    Correct
    Wrong
  • 4
    28
    Correct
    Wrong
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Answer : 4. "28"
Explanation :

Let the consecutive odd numbers be x and (x+2)

We know that x2 + (x + 2)2 = 394

We know   x2 + x2 + 4x + 4 = 394

We know   2 x2 +4x – 390 = 0

We know   x2 + 2x – 195 = 0

We know  (x +15) (x-13) = 0

We know   x = 13

We know    Required sum = 13 +15 =28

Q:

The digit in unit’s place of the product 81 × 82 × 83 × ... × 89 is

989 0

  • 1
    0
    Correct
    Wrong
  • 2
    2
    Correct
    Wrong
  • 3
    6
    Correct
    Wrong
  • 4
    8
    Correct
    Wrong
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Answer : 1. "0"

Q:

In a question on division, the divisor is 7 times the quotient and 3 times the remainder. If the remainder is 28, then the dividend is 

987 0

  • 1
    588
    Correct
    Wrong
  • 2
    784
    Correct
    Wrong
  • 3
    823
    Correct
    Wrong
  • 4
    1036
    Correct
    Wrong
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Answer : 4. "1036"
Explanation :

Let the quotient be Q and the remainder be R. Then

Divisor = 7 Q = 3 R

∴ Divisor = 7 Q = 7 × 12 = 84

Dividend = Divisor × Quotient + Remainder = 84 × 12 + 28 = 1008 + 28 = 1036

Q:

Any six-digit number that is formed by repeating a three-digit number, is always divisible by:

986 0

  • 1
    111
    Correct
    Wrong
  • 2
    1001
    Correct
    Wrong
  • 3
    19
    Correct
    Wrong
  • 4
    101
    Correct
    Wrong
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Answer : 2. "1001"

Q:

The sum of the two - digit number is 6 and the number and its flip (digits written in reverse order) both are multiples of 3. If the difference between them is 36, then which of the following is the required number and its flip? 

980 0

  • 1
    51 or 15
    Correct
    Wrong
  • 2
    42 or 24
    Correct
    Wrong
  • 3
    33 or 33
    Correct
    Wrong
  • 4
    60 or 06
    Correct
    Wrong
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Answer : 1. "51 or 15"

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