Maths Practice Question and Answer

Q:

Which of the following fraction is the smallest?

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

394 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 ?

591 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 ? 

544 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

492 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 

539 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 

452 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

1727 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:

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

636 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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