Number System Questions Practice Question and Answer

Q:

When 1062, 1134 and 1182 are divided by the greatest number .x, the remainder in each case is y. What is the value of (x − y)?

1040 0

  • 1
    17
    Correct
    Wrong
  • 2
    18
    Correct
    Wrong
  • 3
    16
    Correct
    Wrong
  • 4
    19
    Correct
    Wrong
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Answer : 2. "18"
Explanation :

The value of (x-y) will be 18

Q:

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

1038 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)+ 3011

We know    

Required least number = 3011

Q:

64329 is divided by a certain number. While dividing, the numbers, 175, 114 and 213 appear as three successive remainders. The divisor is?

1036 0

  • 1
    184
    Correct
    Wrong
  • 2
    224
    Correct
    Wrong
  • 3
    234
    Correct
    Wrong
  • 4
    296
    Correct
    Wrong
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Answer : 3. "234 "
Explanation :

Number at (i) = 643 – 175 = 468

Number at (ii) = 1752 – 114 = 1638

Number at (iii) = 1149 – 213 = 936

Clearly, 468, 1638 and 936 are multiples of 234 and 234 > 213.

Divisor = 234

Q:

Amit ranked 7th from the top and 26th from the bottom in his class. How many students are there in the class?

1036 0

  • 1
    31
    Correct
    Wrong
  • 2
    33
    Correct
    Wrong
  • 3
    27
    Correct
    Wrong
  • 4
    32
    Correct
    Wrong
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Answer : 4. "32"

Q:

In a class, there are ' z ' students. Out of them ‘x’ are boys. What part of the class is composed of girls? 

1033 0

  • 1
    $$1-{x\over z} $$
    Correct
    Wrong
  • 2
    $${x\over z}-1 $$
    Correct
    Wrong
  • 3
    $${x\over z} $$
    Correct
    Wrong
  • 4
    $${z\over x} $$
    Correct
    Wrong
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Answer : 1. "$$1-{x\over z} $$"

Q:

The second number in the given number-pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) are followed in all the number-pairs EXCEPT one. Find that odd number-pair.

1023 0

  • 1
    169 : 14
    Correct
    Wrong
  • 2
    225 : 18
    Correct
    Wrong
  • 3
    196 : 17
    Correct
    Wrong
  • 4
    256 : 19
    Correct
    Wrong
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Answer : 1. "169 : 14 "

Q:

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

1022 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:

A four digit number is formed by writing a two digit number together twice like: 15:15, -3737 etc. A number of this form will be exactly divisible by which of the following numbers 

1012 0

  • 1
    125
    Correct
    Wrong
  • 2
    101
    Correct
    Wrong
  • 3
    123
    Correct
    Wrong
  • 4
    147
    Correct
    Wrong
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Answer : 3. "123"

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