Number System Questions Practice Question and Answer

Q:

Sum of two numbers is 15 and sum of their reciprocals is $$ {15\over56}$$. The two numbers are

1598 0

  • 1
    4, 11
    Correct
    Wrong
  • 2
    5, 10
    Correct
    Wrong
  • 3
    6, 9
    Correct
    Wrong
  • 4
    7, 8
    Correct
    Wrong
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Answer : 4. "7, 8"

Q:

What is the smallest number of 5 digits which is exactly divisible by 12, 24, 48, 60 and 96?

1596 0

  • 1
    10000
    Correct
    Wrong
  • 2
    10024
    Correct
    Wrong
  • 3
    10080
    Correct
    Wrong
  • 4
    10160
    Correct
    Wrong
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Answer : 3. "10080"

Q:

The zeros of the cubic polynomial $$ {2x^{3}-x^{2}-2x+1}$$ are a, b and c respectively. Find ab + bc + ca =?

1592 0

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

Q:

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

1592 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:

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

1586 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:

What is the sum of first 14 natural numbers?

1582 0

  • 1
    91
    Correct
    Wrong
  • 2
    120
    Correct
    Wrong
  • 3
    105
    Correct
    Wrong
  • 4
    110
    Correct
    Wrong
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Answer : 3. "105"

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Answer : 2. "47"

Q:

If the sum of a number and its reciprocal be 2, then the number is-

1577 0

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

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