Number System Questions Practice Question and Answer

Q:

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

787 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:

If the 8 digit number 789x531y is divisible by 72, then the value of (5x - 3y) will be?

780 0

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

Q:

Which of the following fraction is the smallest?

$$7\over 6 $$,$$7\over 9$$,$$4\over 5$$,$$5\over 7$$

777 0

  • 1
    $$7\over 6 $$
    Correct
    Wrong
  • 2
    $$7\over 9$$
    Correct
    Wrong
  • 3
    $$4\over 5$$
    Correct
    Wrong
  • 4
    $$5\over 7$$
    Correct
    Wrong
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Answer : 4. "$$5\over 7$$"
Explanation :

Q:

Which of the following is the least 6-digit number that is divisible by 93?

774 0

  • 1
    100065
    Correct
    Wrong
  • 2
    100070
    Correct
    Wrong
  • 3
    100075
    Correct
    Wrong
  • 4
    100068
    Correct
    Wrong
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Answer : 4. "100068"

Q:

If all the vowels are arranged in alphabetical order from left to right and after that, all the consonants are arranged in alphabetical order from left to right of the word ‘ALONGWITH’, then which letter is fourth from the right end?

773 0

  • 1
    T
    Correct
    Wrong
  • 2
    L
    Correct
    Wrong
  • 3
    G
    Correct
    Wrong
  • 4
    O
    Correct
    Wrong
  • 5
    W
    Correct
    Wrong
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Answer : 2. "L"

Q:

A number when divided by 899 gives a remainder 63. If the same number is divided by 29, the remainder will be

764 0

  • 1
    10
    Correct
    Wrong
  • 2
    5
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    2
    Correct
    Wrong
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Answer : 2. "5"
Explanation :

Solution: $${Remainder\over 29}={7\over 9}$$

=> remainder (शेषफल)=5

Q:

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

744 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:

Twenty-one time of a positive number is less than its square by 100. The value of the positive number is

740 0

  • 1
    25
    Correct
    Wrong
  • 2
    26
    Correct
    Wrong
  • 3
    42
    Correct
    Wrong
  • 4
    41
    Correct
    Wrong
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Answer : 3. "42"

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