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Algebra

Multiple Choice Questions

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
$671 over 8$
$671 over 8$

124 Views

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
$1 half$
$1 fourth$
$1 fourth$

132 Views

23.

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

626 Views

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
$plus-or-minus 36$
$plus-or-minus 36$

163 Views

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

₹ 1000

Let the money be ₹ x.
According to the question,
[(100 - 20.5)% of x] of (100 - 80)% = 159

$rightwards double arrow space space space space fraction numerator 79.5 over denominator 100 end fraction cross times straight x cross times 20 over 100 space equals space 159 rightwards double arrow space space space space straight x space space equals space fraction numerator 159 space cross times space 100 space cross times space 100 over denominator 79.5 space cross times space 20 end fraction space equals space ₹ space 1000$

152 Views

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:

$square root of 6$
$2 square root of 3$
$3 square root of 2$
$3 square root of 2$

186 Views

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

151 Views

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