Surds and Indices Quiz Set 003

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Question 1

What is $({27/28})^{x - 1.5} × ({27/28})^x = ({27/28})^0.29$?

 A

0.895.

 B

1.395.

 C

2.395.

 D

2.895.

Soln.
Ans: a

We can simplify the given expression to $({27/28})^{2x - 1.5} = ({27/28})^0.29$. The bases are equal, so the powers should also be equal. Hence $2x - 1.5 = 0.29$ which gives x = 0.895.


Question 2

What is $({11/26})^0.03 × ({11/26})^x = ({11/26})^0.14$?

 A

0.11.

 B

0.61.

 C

1.61.

 D

2.11.

Soln.
Ans: a

We can simplify the given expression to $({11/26})^{0.03 + x} = ({11/26})^0.14$. The bases are equal, so the powers should also be equal. Hence $0.03 + x = 0.14$ which gives x = 0.11.


Question 3

What is ${5^328}/{5^323}$?

 A

3125.

 B

3126.

 C

3124.

 D

3127.

Soln.
Ans: a

Simplifying, we get $5^{328 - 323}$ which equals$5^5$, or 3125.


Question 4

What is $({2/9})^{x - 0.05} × ({2/9})^x = ({2/9})^2.3$?

 A

1.175.

 B

1.675.

 C

2.675.

 D

3.175.

Soln.
Ans: a

We can simplify the given expression to $({2/9})^{2x - 0.05} = ({2/9})^2.3$. The bases are equal, so the powers should also be equal. Hence $2x - 0.05 = 2.3$ which gives x = 1.175.


Question 5

If $p^q = 5$, then what could be $(p - 1)^(q + 1)$?

 A

16.

 B

17.

 C

15.

 D

18.

Soln.
Ans: a

By inspection we can see that p = 5, q= 1. So $(5 - 1)^(1 + 1)$ will be $4^2$, i.e., 16.


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This Blog Post/Article "Surds and Indices Quiz Set 003" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


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