# Surds and Indices Quiz Set 005

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 Correct Answers: Wrong Answers: Unattempted:

### Question 1

If \$√7744 = 88\$, then what is the value of \$√77.44\$ + \$√0.7744\$ + \$√0.007744\$ + \$√0.00007744\$?

A

9.7768.

B

10.2768.

C

11.2768.

D

10.7768.

Soln.
Ans: a

We can see that \$√77.44\$ = 8.8, \$√0.7744\$ = 0.88, \$√0.007744\$ = 0.088, \$√0.00007744\$ = 0.0088. Adding, we get 9.7768 as the answer.

### Question 2

What is \$({16/7})^2.9 × ({16/7})^x = ({16/7})^1.6\$?

A

-1.3.

B

-0.8.

C

0.2.

D

0.7.

Soln.
Ans: a

We can simplify the given expression to \$({16/7})^{2.9 + x} = ({16/7})^1.6\$. The bases are equal, so the powers should also be equal. Hence \$2.9 + x = 1.6\$ which gives x = -1.3.

### Question 3

What is \${4^584}/{4^581}\$?

A

64.

B

65.

C

63.

D

66.

Soln.
Ans: a

Simplifying, we get \$4^{584 - 581}\$ which equals\$4^3\$, or 64.

### Question 4

If \$26^0.05 = p, and 26^0.34 = q\$ and \$p^m = q^4\$ then what is the value of m?

A

27.20.

B

27.44.

C

27.34.

D

27.74.

Soln.
Ans: a

Substituting in \$p^m = q^4\$, we get \$26^{0.05m} = 26^{0.34 × 4}\$. Bases are same so powers should be same. Hence, \$0.05m = {0.34 × 4}\$, which gives m = 27.20.

### Question 5

If \$√54\$ is approximately \$7\$, then what is \$54^1.5\$?

A

343.

B

344.

C

342.

D

345.

Soln.
Ans: a

Since \$√x = x^{1/2}\$, we can see that \$54^1.5\$ is same as \$(√54)^3\$ which gives \$7^3\$ = 343.

This Blog Post/Article "Surds and Indices Quiz Set 005" 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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