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Algebra

Multiple Choice Questions

71.

If P = 99, then the value of

10000000
9990000
999999
990000

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72.

If a = 64 and b = 289, then the value of $open parentheses square root of square root of straight a plus square root of straight b end root minus square root of square root of straight b minus square root of straight a end root close parentheses to the power of 1 half end exponent$ is

$2 to the power of 1 half end exponent$
2
4
4

128 Views

73.

The value of
is

2
1
-1
0

152 Views

74.

If x = y = 333 and z = 334, then the values of x³ + y³ + z³ - 3xyz is

0
667
1000
1000

278 Views

75.

If (x - a) (x - b) = 1 and a - b + 5 = 0, then the value of $left parenthesis straight x minus straight a right parenthesis cubed space minus space fraction numerator 1 over denominator left parenthesis straight x minus straight a right parenthesis cubed end fraction$ is

-125
1
125
125

137 Views

76.

If $square root of straight x space equals space square root of 3 space minus space square root of 5$ , then the value of $straight x squared minus 16 straight x plus 6$ is

0
-2
2
2

152 Views

77.

The value of $square root of 2 cube root of 4 square root of 2 cube root of 4 square root of 2 cube root of 4......... end root end root end root end root end root end root$ is

213 Views

78.
If a² + b² + c² = 2(a - b - c) - 3, then the value of 4a - 3b + 5c is

2

3

5

5

a² + b² + c² = 2(a - b - c) - 3

⟹ a² + b² + c²- 2a + 2b + 2c + 3 = 0
⟹ a² - 2a + 1 + b² + 2b + 1 + c² + 2c + 1 = 0
⟹ (a - 1)² + (b + 1)² + (c + 1)² = 0
∴ a - 1 = 0 ⟹ a = 1
b + 1 = 0 ⟹ b = -1
c + 1 = 0 ⟹ c = -1
∴ 4a - 3b + 5c = 4 x 1 - 3 x (-1) + 5(-1) = 4 + 3 - 5 = 2

115 Views

79.

Out of the given responses, one of the factors of
(a² - b²)³ + (b² - c²)³ + (c² - a²)³ is

(a + b) (a - b)
(a + b) (a + b)
(a - b) (a - b)
(a - b) (a - b)

152 Views

80.

If $straight x space equals space cube root of 5 plus 2 comma$ then the value of $straight x cubed minus 6 straight x squared plus 12 straight x minus 13$ is