Surds and Indices Quiz Set 005

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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.


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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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