Algebra MCQs

Question 1

If [8(x + y) 3 - 27(x - y) 3 ] ÷ (5y - x) = Ax 2 + Bxy + Cy 2 , then the value of (A + B + C) is:

Accepted Answer

16

Answer

26

Answer

19

Answer

13

Question 2

If 5√5x 3 + 2√2y 3 = (Ax + √2y)(Bx 2 + 2y 2 + Cxy), then the value of (A 2 + B 2 - C 2 ) is:

Accepted Answer

20

Answer

15

Answer

40

Answer

30

Question 3

If x, y and z are real numbers such that (x - 3) 2 + (y - 4) 2 + (z - 5) 2 = 0, then (x + y + z) is equal to?

Accepted Answer

12

Answer

10

Answer

14

Answer

11

Question 4

If $${a^2} + \frac{2}{{{a^2}}} = 16,$$ then find the value of $$\frac{{72{a^2}}}{{{a^4} + 2 + 8{a^2}}}.$$

Accepted Answer

3

Answer

1

Answer

4

Answer

2

Question 5

a = $$\sqrt 6 \,$$ - $$\sqrt 5 $$ , b = $$\sqrt 5 \,$$ - 2, c = 2 - $$\sqrt 3 $$ then point out the correct alternative among the four alternatives given below ?

Accepted Answer

a < b < c

Answer

b < a < c

Answer

a < c < b

Answer

b < c < a

Question 6

What is the value of 1006 2 - 1007 × 1005 + 1008 × 1004 - 1009 × 1003?

Accepted Answer

6

Answer

3

Answer

12

Answer

24

Question 7

If $$\sqrt x = \sqrt 3 - \sqrt 5 {	ext{,}}$$ then the value of x 2 - 16x + 6 is?

Accepted Answer

2

Answer

0

Answer

-2

Answer

4

Question 8

If $$a = \frac{{\sqrt 5 + 1}}{{\sqrt 5 - 1}}$$ & $$b = \frac{{\sqrt 5 - 1}}{{\sqrt 5 + 1}}{	ext{,}}$$ then the value of $$\frac{{{a^2} + ab + {b^2}}}{{{a^2} - ab + {b^2}}}{	ext{ is?}}$$

Accepted Answer

$$\frac{4}{3}$$

Answer

$$\frac{3}{4}$$

Answer

$$\frac{3}{5}$$

Answer

$$\frac{5}{3}$$

Question 9

If a = 1 + √3, b = 1 - √3, then what is the value of a 2 + b 2 ?

Accepted Answer

8

Answer

4

Answer

0

Answer

2