Surds and Indices Quiz Set 010

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Question 1

What is $24^0.06 × 24^x = 24^2.3$?

 A

2.24.

 B

2.74.

 C

3.74.

 D

4.24.

Soln.
Ans: a

We can simplify the given expression to $24^{0.06 + x} = 24^2.3$. The bases are equal, so the powers should also be equal. Hence $0.06 + x = 2.3$ which gives x = 2.24.


Question 2

What is $({7/3})^{x - 2.8} × ({7/3})^x = ({7/3})^0.12$?

 A

1.46.

 B

1.96.

 C

2.96.

 D

3.46.

Soln.
Ans: a

We can simplify the given expression to $({7/3})^{2x - 2.8} = ({7/3})^0.12$. The bases are equal, so the powers should also be equal. Hence $2x - 2.8 = 0.12$ which gives x = 1.46.


Question 3

What is $29^0.8 × 29^x = 29^1.4$?

 A

0.6.

 B

1.1.

 C

2.1.

 D

2.6.

Soln.
Ans: a

We can simplify the given expression to $29^{0.8 + x} = 29^1.4$. The bases are equal, so the powers should also be equal. Hence $0.8 + x = 1.4$ which gives x = 0.6.


Question 4

If $√47$ is approximately $6$, then what is $47^2$?

 A

1296.

 B

1297.

 C

1295.

 D

1298.

Soln.
Ans: a

Since $√x = x^{1/2}$, we can see that $47^2$ is same as $(√47)^4$ which gives $6^4$ = 1296.


Question 5

What is $14^1.2 × 14^x = 14^1.4$?

 A

0.2.

 B

0.7.

 C

1.7.

 D

2.2.

Soln.
Ans: a

We can simplify the given expression to $14^{1.2 + x} = 14^1.4$. The bases are equal, so the powers should also be equal. Hence $1.2 + x = 1.4$ which gives x = 0.2.


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This Blog Post/Article "Surds and Indices Quiz Set 010" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-06-24.

Posted by Parveen(Hoven),
Aptitude Trainer


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