If two numbers are in the ratio 2:3 and the ratio becomes 3:4 wh

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 Multiple Choice QuestionsMultiple Choice Questions

1.

The numbers 11284 and 7655, when divided by a certain 3-digit number, give equal remainders. The 3-digit number is

  • 190

  • 191

  • 192

  • 192

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2.

For a question on division, it is known that the dividend is 37693, quotient is 52 and the remainder is more than 52 but less than 104. The divisor will be

  • 722

  • 723

  • 724

  • 724

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3.

A number, when divided by 65 gives the remainder 43. If it is divided by 13, the remainder will be

  • 1

  • 4
  • 6

  • 6

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4.

If the difference of the squares of two natural numbers is 37, then the sum of the squares of the numbers will be

  • 690

  • 687straight x squared plus straight y squared space equals space fraction numerator left parenthesis straight x plus straight y right parenthesis squared plus space left parenthesis straight x minus straight y right parenthesis squared over denominator 2 end fraction

  • 685

  • 685

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5.

A number when divided by 2736, leaves the remainder 75. If the same number is divided by 24, then the remainder is

  • 12

  • 3

  • 0

  • 0

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6.

The sum of all prime numbers between 30 and 42 is

  • 103

  • 109

  • 105

  • 104


7.

A number when divided by 6 leaves remainder 3. When the square of the same number is divided by 6, the remainder is

  • 0

  • 2

  • 1

  • 1

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8.

Find the wrong number in the given series
3, 7, 16, 35, 70, 153

  • 70

  • 16

  • 153

  • 153

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9.

If two numbers are in the ratio 2:3 and the ratio becomes 3:4 when 8 is added to both the numbers, then the sum of the two numbers is

  • 40

  • 10

  • 100

  • 100


A.

40

Let the required number be 2x and 3x.
fraction numerator 2 straight x plus 8 over denominator 3 straight x plus 8 end fraction equals space 3 over 4 comma   8x + 32 = 9x  + 24  
therefore           x = 32 - 24 = 8
Then,   2x + 3x = 2 x 8 + 3 x 8 = 16 + 24 = 40

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10.

The least prime number is

  • 0

  • 1

  • 3

  • 3

551 Views

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