Algebra MCQs

Question 1

When a number x is divided by a divisor it is seen that the divisor = 4 times the quotient = double of remainder. If the remainder is 80, then the value of x is?

Accepted Answer

6480

Answer

9680

Answer

8460

Answer

4680

Question 2

If $${\left( {a + \frac{1}{a}} \right)^2}\, = 3$$ then $${a^3} + \frac{1}{{{a^3}}} = ?$$

Accepted Answer

0

Answer

$$2\sqrt 3 $$

Answer

2

Answer

$$3\sqrt 3 $$

Question 3

If x 2 - 3x + 1 = 0, then the value of $${x^2} + x + \frac{1}{x} + \frac{1}{{{x^2}}}$$ is?

Accepted Answer

10

Answer

2

Answer

6

Answer

8

Question 4

If a + b + c = 0, then the value of a 3 + b 3 + c 3 is?

Accepted Answer

3abc

Answer

abc

Answer

2abc

Answer

0

Question 5

If a, b, c are positive and a + b + c = 1, then the least value of $$\frac{1}{a}$$ + $$\frac{1}{b}$$ + $$\frac{1}{c}$$ is?

Accepted Answer

9

Answer

5

Answer

3

Answer

1

Question 6

If p + q = 10 and pq = 5, then the numerical value of $$\frac{p}{q}{	ext{ + }}\frac{q}{p}$$ will be?

Accepted Answer

18

Answer

16

Answer

20

Answer

22

Question 7

The minimum value of (x - 2)(x - 9) is?

Accepted Answer

$$ - \frac{{49}}{4}$$

Answer

$$ - \frac{{11}}{4}$$

Answer

$$\frac{{49}}{4}$$

Answer

0

Question 8

If x 2 - 3x - 1 = 0, then the value of (x 2 + 8x - 1)(x 3 + x -1 ) -1 is:

Accepted Answer

1

Answer

$$\frac{3}{8}$$

Answer

8

Answer

3

Question 9

If x : y = 7 : 3 then the value of $$\frac{{xy + {y^2}}}{{{x^2} - {y^2}}}{	ext{ is?}}$$

Accepted Answer

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

Answer

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

Answer

$$\frac{3}{7}$$

Answer

$$\frac{7}{3}$$