Surds and Indices Quiz Set 006

Advertisement


Your Score
Correct Answers:
Wrong Answers:
Unattempted:

Question 1

If $√86$ is approximately $9$, then what is $86^3$?

 A

531441.

 B

531442.

 C

531440.

 D

531443.

Soln.
Ans: a

Since $√x = x^{1/2}$, we can see that $86^3$ is same as $(√86)^6$ which gives $9^6$ = 531441.


Question 2

If $7^x = 16807$, then what is the value of $7^{x - 3}$?

 A

49.

 B

50.

 C

48.

 D

51.

Soln.
Ans: a

We can write the given expression as $7^x = 7^5$. The bases are same so powers should be same. Comparing we get x = 5. So x - 3 = 2, we get $7^2 = 49$.


Question 3

If $13^1.1 = p, and 13^2.5 = q$ and $p^m = q^4$ then what is the value of m?

 A

9.09.

 B

9.33.

 C

9.23.

 D

9.63.

Soln.
Ans: a

Substituting in $p^m = q^4$, we get $13^{1.1m} = 13^{2.5 × 4}$. Bases are same so powers should be same. Hence, $1.1m = {2.5 × 4}$, which gives m = 9.09.


Question 4

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 5

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.


buy aptitude video tutorials


Creative Commons License
This Blog Post/Article "Surds and Indices Quiz Set 006" 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


Advertisement