Surds and Indices Quiz Set 009

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Question 1

If $√5329 = 73$, then what is the value of $√53.29$ + $√0.5329$ + $√0.005329$ + $√0.00005329$?

 A

8.1103.

 B

8.6103.

 C

9.6103.

 D

9.1103.

Soln.
Ans: a

We can see that $√53.29$ = 7.3, $√0.5329$ = 0.73, $√0.005329$ = 0.073, $√0.00005329$ = 0.0073. Adding, we get 8.1103 as the answer.


Question 2

What is ${7^499}/{7^496}$?

 A

343.

 B

344.

 C

342.

 D

345.

Soln.
Ans: a

Simplifying, we get $7^{499 - 496}$ which equals$7^3$, or 343.


Question 3

What is $14^1.2 × 14^x = 14^1.4$?

 A

0.2.

 B

0.7.

 C

1.7.

 D

2.2.

Soln.
Ans: a

We can simplify the given expression to $14^{1.2 + x} = 14^1.4$. The bases are equal, so the powers should also be equal. Hence $1.2 + x = 1.4$ which gives x = 0.2.


Question 4

If $√4489 = 67$, then what is the value of $√44.89$ + $√0.4489$ + $√0.004489$ + $√0.00004489$?

 A

7.4437.

 B

7.9437.

 C

8.9437.

 D

8.4437.

Soln.
Ans: a

We can see that $√44.89$ = 6.7, $√0.4489$ = 0.67, $√0.004489$ = 0.067, $√0.00004489$ = 0.0067. Adding, we get 7.4437 as the answer.


Question 5

What is the value of x if $(25)^1.5 × 5^9$ ÷ $625^3$ = $5^x$?

 A

0.

 B

2.

 C

4.

 D

6.

Soln.
Ans: a

Simplifying, we get $(5^2)^1.5 × 5^9$ ÷ $(5 ^ 4)^3$ = $5^x$, which simplifies to $5^3 × 5^9$ ÷ $5^12$ = $5^x.$ Equating the powers x = 3 + 9 - 12 = 0.


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This Blog Post/Article "Surds and Indices Quiz Set 009" 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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