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 Multiple Choice QuestionsMultiple Choice Questions

21.

If the product of two positive numbers is 1575 and their ratio is 7 : 9, then the greater number is 

  • 45

  • 35

  • 135

  • 135

241 Views

22.

Find the sum of all positive multiples of 3 less than 50

  • 400

  • 404

  • 408

  • 408

321 Views

23.

What is the smallest number by which 625 must be divided so that the quotient is a perfect cube?

  • 25

  • 5

  • 2

  • 2

250 Views

24.

The unit digit in 3 x 38 x 537 x 1256 is

  • 4

  • 2

  • 6

  • 6

255 Views

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25.

When 335 is added to 5A7, the result is 8B2. 8B2 is divisible by 3. What is the largest possible value of A?

  • 8

  • 2

  • 1

  • 1

490 Views

26.

Which one of the numbers is divisible by 25?

  • 303310

  • 373355

  • 303375

  • 303375

175 Views

27.

The greatest 4-digit number exactly number by 10, 15, 20 is

  • 9990

  • 9960

  • 9980

  • 9980

164 Views

28.

The odd term in the sequence
0, 7, 26, 63, 124, 217 is

  • 217

  • 7

  • 26

  • 26

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29.

The sum of the squares of two natural consecutive odd numbers is 394. The sum of the numbers is

  • 24

  • 32

  • 40

  • 40


D.

40

Let x and x+2 be the two consecutive odd numbers.
rightwards double arrow space space space straight x squared plus space left parenthesis straight x plus 2 right parenthesis squared space equals space 394
rightwards double arrow space space straight x squared plus straight x squared plus 4 plus 4 straight x space equals space 394
rightwards double arrow space space 2 straight x squared plus 4 straight x minus 390 space equals space 0
rightwards double arrow space straight x squared plus 2 straight x minus 195 space equals space 0

rightwards double arrow space straight x squared plus 15 straight x minus 13 straight x minus 195 space equals space 0
rightwards double arrow space space straight x left parenthesis straight x plus 15 right parenthesis space minus 13 left parenthesis straight x plus 15 right parenthesis space equals space 0
rightwards double arrow space left parenthesis straight x minus 13 right parenthesis thin space left parenthesis straight x plus 15 right parenthesis space equals space 0
rightwards double arrow space space straight x space equals space 13 space comma space minus 15
rightwards double arrow space straight x space equals space 13
So, the numbers are (x = 13), (x+2 = 13+2 = 15)
∴  The required sum = 13 + 15 = 28

Shortcut Method:
By mental operation,
   132 + 152 = 169 + 225  = 394
∴  The required sum = 13 + 15 = 28
   



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30.

When (6767 + 67) is divided by 68, the remainder is

  • 1

  • 63

  • 66

  • 66

364 Views

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