If the sum of squares of two real numbers is 41 and their sum is

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 Multiple Choice QuestionsMultiple Choice Questions

1.

The sum of the cubes of two numbers is 793. The sum of the numbers is 13. Then the difference of the two numbers is

  • 7

  • 6

  • 5

  • 5

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2.

The sum of three consecutive natural numbers each divisible by 5, is 225. The largest among them is

  • 85

  • 75

  • 70

  • 70

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3.

Each member of a club contributes as much rupees and as much paise as the number of members of the club. If the total contribution is Rs. 2525, then the number of members of the club is

  • 60

  • 45

  • 55

  • 50

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4.

The sum of three numbers is 252. If the first number is thrice the second and third number is two-third of the first, then the second number is

  • 255

  • 260

  • 265

  • 265

302 Views

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5.

The sum of three numbers is 2, the 1st number is 1/2 times the 2nd number and the 3rd number is 1/4 times the 2nd number. The 2nd number is

  • 7/6

  • 8/7

  • 9/8

  • 9/8

240 Views

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6.

If the sum of squares of two real numbers is 41 and their sum is 9. Then the sum of cubes of these two numbers is

  • 169

  • 209

  • 189

  • 189


C.

189

Let the two real numbers be x and y.
According to the question,
       




              = (9) (41 - 20) = 9 x 21 = 189

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7.

While solving a problem, by mistake, Anita squared a number and then subtracted 25 from it rather than first subtracting 25 from the number and then squaring it. But she got the right answer. What was the given number?

  • 48

  • 13

  • Cannot be determined

  • Cannot be determined

273 Views

8.

The sum of two numbers is equal to 20 and their difference is 25. The ratio of the two numbers is

  • 9 : 1

  • 7 : 9

  • 3 : 5

  • 3 : 5

265 Views

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9.

The least positive integer that should be subtracted from 3011 x 3012 so that the difference is a perfect square is

  • 3009

  • 3010

  • 3011

  • 3011

458 Views

10.

The product of two number is 1575 and their quotient is 9/7. Then the sum of the numbers is

  • 74

  • 78

  • 80

  • 80

297 Views

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