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- Online Algebra Exercise with Correct Answer Key and Solutions
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- Question 1 of 20
##### 1. Question

What value should come in place of the question mark?

=?##### Hint

Let

⇒

⇒

Therefore,

=

⇒ x – y = 22 or x = 25, y = 3

Thus,

Again, let

⇒

⇒ ,

⇒ p – q = 1 or p = 4, q = 3

Thus,

Now,

=

=

=

- Question 2 of 20
##### 2. Question

What value should come in place of the question mark?

=?##### Hint

- Question 3 of 20
##### 3. Question

What value should come in place of the question mark?

1.236 × 10¹⁵ – 5.23 × 10¹⁴ =?##### Hint

=

=

- Question 4 of 20
##### 4. Question

What value should come in place of the question mark?

##### Hint

Given exp.

- Question 5 of 20
##### 5. Question

What value should come in place of the question mark?

=?##### Hint

Given exp.

- Question 6 of 20
##### 6. Question

What value should come in place of the question mark?

=?##### Hint

We rationalise the denominator of each

and

Thus

= 5

- Question 7 of 20
##### 7. Question

What value should come in place of the question mark?

9821 – [48 + {12 × (153 + 24)}] =?##### Hint

9821 – [48 + {12 × 177}]

= 9821 – [48 + 2124]

= 9821 – 2172 = 7649.

- Question 8 of 20
##### 8. Question

What value should come in place of the question mark?

=?##### Hint

= ……

= +

- Question 9 of 20
##### 9. Question

What value should come in place of the question mark?

=?##### Hint

=

- Question 10 of 20
##### 10. Question

What value should come in place of the question mark?

=?##### Hint

=

=

=

=

=

- Question 11 of 20
##### 11. Question

What value should come in place of the question mark?

##### Hint

Let

Then, 8x – 7 × 2 = 49 – 48 + x²

⇒ 8x – 14 = 1 + x²

⇒ x² – 8x + 15 = 0

⇒ (x – 3)(x – 5) = 0

⇒ x = 3 or x = 5.

- Question 12 of 20
##### 12. Question

What value should come in place of the question mark?

##### Hint

(where a = 469, b = 174)

- Question 13 of 20
##### 13. Question

What value should come in place of the question mark?

= ?##### Hint

=

=

- Question 14 of 20
##### 14. Question

What value should come in place of the question mark?

= ?##### Hint

- Question 15 of 20
##### 15. Question

What value should come in place of the question mark?

= ?##### Hint

=

- Question 16 of 20
##### 16. Question

What value should come in place of the question mark?

##### Hint

Given exp.

- Question 17 of 20
##### 17. Question

What value should come in place of the question mark?

= ?##### Hint

- Question 18 of 20
##### 18. Question

What value should come in place of the question mark?

(17)³˙⁵ × (17)^{?}= 17⁸##### Hint

Let (17)³˙⁵ × (17)

^{x}= 17⁸.Then, (17)³˙⁵ + x = 17⁸.

∴ 3.5 + x = 8

⇒ x = (8 – 3.5)

⇒ x = 4.5

- Question 19 of 20
##### 19. Question

What value should come in place of the question mark?

=?##### Hint

- Question 20 of 20
##### 20. Question

What value should come in place of the question mark?

=?##### Hint

= 0.4 + 1.1 = 1.5