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 Multiple Choice QuestionsMultiple Choice Questions

201.

If a and b are two odd positive integers, by which of the following integers is (a4 - b4) always divisible?

  • 3

  • 6

  • 8

  • 12

38 Views

202.

If x * y = (x + 3)2  (y - 1), then the value of 5 * 4 is

  • 192

  • 182

  • 180

  • 172

37 Views

203.

fraction numerator left parenthesis 0.05 right parenthesis squared space plus space left parenthesis 0.41 right parenthesis squared space plus space left parenthesis 0.73 right parenthesis squared over denominator left parenthesis 0.005 right parenthesis squared space plus space left parenthesis 0.041 right parenthesis squared space plus space left parenthesis 0.0073 right parenthesis squared end fraction is

  • 10

  • 100

  • 1000

  • None of these

29 Views

204.

If X * Y = X2 + Y2 - XY,  then  11 * 13 is

  • 117

  • 147

  • 290

  • 433

26 Views

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205.

If a and b are odd numbers, then which of the following is even?

  • a + b + ab

  • a + b - 1

  • a + b + 1

  • a + b + 2ab

26 Views

206.

If a1/3 = 11,  then the value of a2 - 331 a is

  • 1331331

  • 1331000

  • 1334331

  • 1330030

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207.

If straight x space equals space 2 space plus space square root of 3 space comma space space space straight y space equals space 2 minus square root of 3 comma then the value of fraction numerator straight x squared plus straight y squared over denominator straight x cubed space plus space straight y cubed end fraction is

  • 7 over 38

  • 7 over 40

  • 7 over 19

  • 7 over 26


D.

7 over 26

fraction numerator straight x squared space plus space straight y squared over denominator straight x cubed space plus space straight y cubed end fraction space equals space fraction numerator left parenthesis straight x space plus space straight y right parenthesis squared space minus space 2 xy over denominator left parenthesis straight x space plus space straight y right parenthesis cubed space minus space 3 xy left parenthesis straight x plus straight y right parenthesis end fraction
space space space space space space space space space space space space space equals space fraction numerator left parenthesis 4 right parenthesis squared minus 2 over denominator left parenthesis 4 right parenthesis cubed space minus space 3 left parenthesis 4 right parenthesis end fraction space space open square brackets because space xy space equals space left parenthesis 2 right parenthesis squared minus space left parenthesis square root of 3 right parenthesis squared space equals space 1 close square brackets
space space space space space space space space space space space space space equals space 14 over 52 space equals space 7 over 26

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208.

If 5 straight a space plus space fraction numerator 1 over denominator 3 straight a end fraction space equals space 5 comma then the value of 9 straight a squared space plus space fraction numerator 1 over denominator 25 straight a squared end fraction is

  • 34 over 5

  • 39 over 5

  • 42 over 5

  • 52 over 5

30 Views

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209.

If 2 straight x space minus space fraction numerator 1 over denominator 2 straight x end fraction space equals space 6 comma then the value of straight x squared space plus space fraction numerator 1 over denominator 16 straight x squared end fraction is

  • 19 over 2

  • 17 over 2

  • 18 over 3

  • 15 over 2

33 Views

210.

If a2 + b2  + c2 = 2 (a - b - c) - 3,  then the value of 2a - 3b + 4c is

  • 3

  • 1

  • 2

  • 4

30 Views

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