If , then the value of  from Quantitative Aptitude Algebra

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21.

If 2 straight x plus 3 straight y space equals space 11 over 2 and xy space equals space 5 over 6, then the value of 8 straight x cubed plus 27 straight y cubed is

  • 583 over 4
  • 187

  • 671 over 8
  • 671 over 8
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22.

If open curly brackets 1 half left parenthesis straight a minus straight b right parenthesis close curly brackets squared space plus space ab space equals space straight p left parenthesis straight a plus straight b right parenthesis squared comma then the value of p is (assume that straight a not equal to negative straight b)

  • 1

  • 1 half
  • 1 fourth
  • 1 fourth
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23.

If 999x + 888y = 1332  and  888x + 999y = 555, then straight x squared minus straight y squared is equal to

  • 5

  • 7

  • 8

  • 8

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24.

If straight x to the power of 4 plus 1 over straight x to the power of 4 space equals space 119, then the value of straight x cubed minus 1 over straight x cubed

  • 36

  • -36

  • plus-or-minus 36
  • plus-or-minus 36


A.

36

straight x to the power of 4 plus 1 over straight x to the power of 4 space equals space 119
By adding (2) both side,
We get,
        straight x to the power of 4 plus 1 over straight x to the power of 4 plus 2 space equals space 119 plus 2
straight x to the power of 4 plus 1 over straight x to the power of 4 plus 2 space equals space 121
open parentheses straight x squared plus 1 over straight x squared close parentheses squared space equals space left parenthesis 11 right parenthesis squared

straight x squared plus 1 over straight x squared space equals space 11                       ...(i)
Again, subtracting (2) from both side,
We get,
  straight x squared plus 1 over straight x squared minus 2 space equals space 11 minus 2
straight x squared plus 1 over straight x squared minus 2 space equals space 9
open parentheses straight x minus 1 over straight x close parentheses squared space equals space left parenthesis 3 right parenthesis squared
straight x minus 1 over straight x space equals space 3
Now,
straight x cubed minus 1 over straight x cubed space equals space 3 cubed plus 3 cross times 3
straight x cubed minus 1 over straight x cubed space equals space 36


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25.

A man loses 20 1 half percent sign of his money and after spending 80% of the remainder, he is left with ₹ 159. How much did he have at first?

  • ₹ 500

  • ₹ 800

  • ₹ 1000

  • ₹ 1000

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26.

If straight x space equals space 1 plus square root of 2 plus square root of 3 comma then the value of straight x squared minus 2 straight x minus 4 is:

  • square root of 6
  • 2 square root of 3
  • 3 square root of 2
  • 3 square root of 2
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27.

If fraction numerator left parenthesis straight a plus straight b right parenthesis over denominator square root of ab end fraction space equals 2 over 1 comma then the value of left parenthesis straight a minus straight b right parenthesis is:

  • 1

  • 0

  • -1

  • -1

172 Views

28.

If straight x plus 1 over straight x equals 5 comma then the value of fraction numerator 6 straight x over denominator straight x squared plus straight x plus 1 end fraction is

  • 1

  • 2

  • 3

  • 3

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29.

If straight a equals straight x to the power of 1 third end exponent straight y to the power of 1 third end exponent space plus space straight x to the power of negative 1 third end exponent straight y to the power of negative 1 third end exponent comma space then space space straight a cubed minus 3 ay minus straight x is equal to

  • straight y squared over straight x
  • straight x squared over straight y
  • straight a squared over straight x
  • straight a squared over straight x
172 Views

30.

If straight a greater than straight b greater than 0 comma space space AB space equals space straight a minus straight b space cm comma space space space BC space equals space 2 square root of ab space cm comma space space then space angle ABC is

  • 45 degree
  • 60 degree
  • 90 degree
  • 90 degree
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