Number System Questions Practice Question and Answer

Q:

Let x be the least number of 4 digit that when divided by 2, 3, 4, 5, 6 and 7 leaves a remainder of 1 in each case. If x lies between 2000 and 2500, then what is the sum of the digits of x?

1314 0

  • 1
    4
    Correct
    Wrong
  • 2
    15
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
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Answer : 1. "4"

Q:

(0.5 ×5 + 0.25 ×0.5 + 0.5 × 4 + 0.5 ×0.75) is equal to-

1313 0

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

Q:

A number when divided by 119, leaves a remainder of 19. If it is divided by 17, it will leave a remainder of: 

1311 0

  • 1
    19
    Correct
    Wrong
  • 2
    7
    Correct
    Wrong
  • 3
    10
    Correct
    Wrong
  • 4
    2
    Correct
    Wrong
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Answer : 4. "2 "
Explanation :

On dividing the given number by 119, let k be the quotient and 19 as remainder.

Then, number = 119k + 19

= 17 × 7k + 17 × 1 + 2

= 17 (7k + 1) + 2

Hence, the given number when divided by 17, gives (7k + 1) as quotient and 2 as remainder.

Q:

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

1304 0

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

Q:

The average of five consecutive number is 26, then the multiple of the first and the last number is

1304 0

  • 1
    722
    Correct
    Wrong
  • 2
    672
    Correct
    Wrong
  • 3
    648
    Correct
    Wrong
  • 4
    576
    Correct
    Wrong
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Answer : 2. "672"

Q:

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

1285 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:

Direction : What value should come in the place of question mark (?) in the following questions?

11283 + 25 % of ? + 727 = 13280 

1284 0

  • 1
    None of these
    Correct
    Wrong
  • 2
    5020
    Correct
    Wrong
  • 3
    5280
    Correct
    Wrong
  • 4
    15180
    Correct
    Wrong
  • 5
    5280
    Correct
    Wrong
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Answer : 1. "None of these "

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: 

1284 0

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

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