Algebra Defence MCQ Questions With Answers Quiz Questions

1. If x - 1/x = 5 then x2 + 1/x2 = ?

A 5 B 27 C 25 D 15

2. Find the value of 'x', if 40x = 3262 - 1262

A 90400 B 2260 C 1808 D 1260

3. The expression \(\frac\) simplifies to

A (x - 1) B (x - 2) C (x - 7) D (x + 2)

4. A - b = 9, ab = 10 find the value of a + b

A 11 B 12 C 16 D 22

5. If A = 125 and B = 8, then what is the value of (A + B)3 - (A - B)3 - 6B(A2 - B2)?

A 4096 B 4608 C 4224 D 3456

6. If [x – (1/x)] = 2, then what is the value of [x6 - (1/x6)]?

A 114√3 + 1 B 134√2 C 142√2 + 3 D 140√2

7. Simplify: 2x(3x + 4) - 5(x2 + 2) + 7x

A x2 - 15x + 10 B x2 - x - 10 C x2 + 15x - 10 D 2x2 + x - 10

8. If a + b = 5, ab = 14/3 then a3 + b3 =?

A 52 B 54 C 56 D 55

9. If a + b = 5, a2 + b2 = 13, the value of a - b where a > b is :

A 1 B -1 C 2 D -2

10. The three equations 2x + 3y – 2z = 5, x + y – z = 1 & 3x + 2y – z = 8 have a solution of (p, q, r), then, what is the value of [(p + q + 11)/r]?

A 2 B 3 C 4 D 5

11. If the sum of two numbers is 60, and difference of them is 18, What are the numbers?

A 29, 50 B 20, 38 C 39, 21 D 30, 15

12. If (x + y + z) = 22 and (xy + yz + xz) = 154 then, find the value of \(\sqrt ^3} + ^3} + ^3} - 3{\rm{xyz\;}}}\)

A 14 B 22 C 23 D 32

13. What is the value of (4x2 + 5y) - (6y - 3x2) + (2x2 - 4y) ?

A 9x2 - 5y B 9x2 + 5y C 9y - 5x2 D 5y - 9x2

14. If (a + b) = 5 and a2 + b2 = 13, then, (a3 + b3)/(a3 – b3) is equal to –

A 35/19 B 35/18 C 32/19 D 35/17

15. Find the value of [74 + 34 + 212]/[72 + 32 + 21].

A 32 B 35 C 42 D 37

16. If a2 + 8 = 4a then find the value of a4 – a3 + 2a2 + 10

A 34 B 20 C – 38 D – 40

17. Find the value of x. I. 10x + 150 = 6x + 406

A 80 B 64 C 56 D 62

18. If x3 – kx2 + 8x – 4 is divisible by (x – 1), then, what is the value of k?

A 7 B 3 C 5 D 4

19. If the roots of the quadratic equation x2 – (k + 2)x + 121 = 0 are equal, then positive value of k?

A 20 B 21 C 24 D 28

20. If a + b + c = 3√3 and a2 + b2 + c2 = 9 then ab + bc + ca =?

A 12 B 9 C 6 D 8