Surds and Indices Quiz Set 004

Advertisement


Your Score
Correct Answers:
Wrong Answers:
Unattempted:

Question 1

If $34^0.21 = p, and 34^0.22 = q$ and $p^m = q^4$ then what is the value of m?

 A

4.19.

 B

4.43.

 C

4.33.

 D

4.73.

Soln.
Ans: a

Substituting in $p^m = q^4$, we get $34^{0.21m} = 34^{0.22 × 4}$. Bases are same so powers should be same. Hence, $0.21m = {0.22 × 4}$, which gives m = 4.19.


Question 2

If $4^0.16 = p, and 4^0.34 = q$ and $p^m = q^4$ then what is the value of m?

 A

8.50.

 B

8.74.

 C

8.64.

 D

9.04.

Soln.
Ans: a

Substituting in $p^m = q^4$, we get $4^{0.16m} = 4^{0.34 × 4}$. Bases are same so powers should be same. Hence, $0.16m = {0.34 × 4}$, which gives m = 8.50.


Question 3

What is the value of x if $(15625)^1.5 × 5^5$ ÷ $625^4.5$ = $5^x$?

 A

-4.

 B

2.

 C

8.

 D

14.

Soln.
Ans: a

Simplifying, we get $(5^6)^1.5 × 5^5$ ÷ $(5 ^ 4)^4.5$ = $5^x$, which simplifies to $5^9 × 5^5$ ÷ $5^18$ = $5^x.$ Equating the powers x = 9 + 5 - 18 = -4.


Question 4

If $6^x = 7776$, then what is the value of $6^{x - 3}$?

 A

36.

 B

37.

 C

35.

 D

38.

Soln.
Ans: a

We can write the given expression as $6^x = 6^5$. The bases are same so powers should be same. Comparing we get x = 5. So x - 3 = 2, we get $6^2 = 36$.


Question 5

If $√73$ is approximately $8$, then what is $73^3$?

 A

262144.

 B

262145.

 C

262143.

 D

262146.

Soln.
Ans: a

Since $√x = x^{1/2}$, we can see that $73^3$ is same as $(√73)^6$ which gives $8^6$ = 262144.


buy aptitude video tutorials


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 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


Advertisement