Surds and Indices Quiz Set 004

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Question 1

What is x if $3^x = 27$?

 A

3.

 B

4.

 C

2.

 D

5.

Soln.
Ans: a

We can write the given expression as $3^x = 3^3$. The bases are same so powers should be same. Comparing we get x = 3.


Question 2

What is $26^0.24 × 26^x = 26^0.15$?

 A

-0.09.

 B

0.41.

 C

1.41.

 D

1.91.

Soln.
Ans: a

We can simplify the given expression to $26^{0.24 + x} = 26^0.15$. The bases are equal, so the powers should also be equal. Hence $0.24 + x = 0.15$ which gives x = -0.09.


Question 3

What is $16^0.15 × 16^0.1$?

 A

2.

 B

3.

 C

5.

 D

4.

Soln.
Ans: a

By inspection, we get $(2^4)^0.15 × (2^4)^0.1$, which equals $(2^4)^(0.15 + 0.1)$, which equals $(2^4)^0.25$, which equals $2^1$, or 2. Note: The trick in such type of questions is to keep an eye on the "bases".


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

What is $({19/28})^0.12 × ({19/28})^x = ({19/28})^0.11$?

 A

-0.00999999999999998.

 B

0.49.

 C

1.49.

 D

1.99.

Soln.
Ans: a

We can simplify the given expression to $({19/28})^{0.12 + x} = ({19/28})^0.11$. The bases are equal, so the powers should also be equal. Hence $0.12 + x = 0.11$ which gives x = -0.00999999999999998.


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Creative Commons License
This Blog Post/Article "Surds and Indices Quiz Set 004" 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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