Number System Questions Practice Question and Answer

Q:

Which of the following statements is a false statement?

(A) CRT The monitor is the thinnest monitor.

(B) Dot matrix is the fastest computer.

(C) CAG memory is slower than the main memory.

(D) Bar code reader is an input device.

391 0

  • 1
    a and b
    Correct
    Wrong
  • 2
    a, b and c
    Correct
    Wrong
  • 3
    c and d
    Correct
    Wrong
  • 4
    a and d
    Correct
    Wrong
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Answer : 2. "a, b and c"
Explanation :

All statements are true.

- CRT The monitor is the thinnest monitor.

- Dot matrix is the fastest computer.

- CAG memory is slower than the main memory.

Q:

Which of the following fraction is the smallest?

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

412 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:

A number when divided by 192 gives a remainder of 54. What remainder would be obtained on dividing the same number by 16 ?

614 0

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

Here, the first divisor 192 is a multiple of second divisor 16.

∴ Required remainder

= remainder obtained by dividing 54 by 16 = 6

Q:

A number when divided by 5 leaves a remainder 3. What is the remainder when the square of the same number is divided by 5 ? 

558 0

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

Q:

A number consists of two digits. If the number formed by interchanging the digits is added to the original number, the resulting number (i.e. the sum) must be divisible by

511 0

  • 1
    11
    Correct
    Wrong
  • 2
    9
    Correct
    Wrong
  • 3
    5
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
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Answer : 1. "11"
Explanation :

Let the number be 10x + y

After interchanging the digits,

the number obtained = 10y + x

According to the question,

Resulting number

= 10x + y + 10y + x

= 11x + 11y

= 11 (x + y)

which is exactly divisible by 11.

Q:

If two numbers are each divided by the same divisor, the remainders are respectively 3 and 4. If the sum of the two numbers be divided by the same divisor, the remainder is 2. The divisor is 

564 0

  • 1
    9
    Correct
    Wrong
  • 2
    7
    Correct
    Wrong
  • 3
    5
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
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Answer : 3. "5 "
Explanation :

Required divisor = 3 + 4 – 2 = 5

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 

470 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:

64329 is divided by a certain number, 175, 114 and 213 appear as three successive remainders. The devisor is

1742 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

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