Surds and Indices Quiz Set 010

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Correct Answers:
Wrong Answers:
Unattempted:

Question 1

If $2^x = 16$, then what is the value of $2^{x - 1}$?

 A

8.

 B

9.

 C

7.

 D

10.

Soln.
Ans: a

We can write the given expression as $2^x = 2^4$. The bases are same so powers should be same. Comparing we get x = 4. So x - 1 = 3, we get $2^3 = 8$.


Question 2

If $2^3.4 = p, and 2^2.6 = q$ and $p^m = q^3$ then what is the value of m?

 A

2.29.

 B

2.53.

 C

2.43.

 D

2.83.

Soln.
Ans: a

Substituting in $p^m = q^3$, we get $2^{3.4m} = 2^{2.6 × 3}$. Bases are same so powers should be same. Hence, $3.4m = {2.6 × 3}$, which gives m = 2.29.


Question 3

What is x if $6^x = 36$?

 A

2.

 B

3.

 C

5.

 D

4.

Soln.
Ans: a

We can write the given expression as $6^x = 6^2$. The bases are same so powers should be same. Comparing we get x = 2.


Question 4

What is x if $6^x = 36$?

 A

2.

 B

3.

 C

5.

 D

4.

Soln.
Ans: a

We can write the given expression as $6^x = 6^2$. The bases are same so powers should be same. Comparing we get x = 2.


Question 5

If $p^q = 25$, then what could be $(p - 1)^(q + 1)$?

 A

64.

 B

65.

 C

63.

 D

66.

Soln.
Ans: a

By inspection we can see that p = 5, q= 2. So $(5 - 1)^(2 + 1)$ will be $4^3$, i.e., 64.


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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 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer


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