Decimal Numbers Quiz Set 001

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Question 1

What is ${8.00^3 - 0.90^3}/{8.00^2 + 7.200 + 0.90^2}$?

 A

7.10.

 B

6.95.

 C

7.56.

 D

6.56.

Soln.
Ans: a

We know ${a^3 - b^3}/{a^2 + ab + b^2}$ is same as ${(a - b) × (a^2 + ab + b^2)}/{a^2 + ab + b^2}$ which is same as a - b. So we get a - b = 8.00 - 0.90 = 7.10.


Question 2

For what value of x would this expression be a perfect square: $9.74 × 9.74 + x × 9.74 + 0.3 × 0.3$?

 A

0.6.

 B

0.06.

 C

0.006.

 D

6.0.

Soln.
Ans: a

Comparing the given expression with $a^2 + 2 × a ×b + b^2 = (a + b)^2$, we see that if a = 9.74, and b = 0.3 then by inspection, x should be equal to 2b = 2 × 0.3 = 0.6.


Question 3

What is $5.06 + 0.9 + 0.09$?

 A

6.05.

 B

5.05.

 C

6.95.

 D

5.95.

Soln.
Ans: a

By simple addition we get $5.06 + 0.9 + 0.09 = 6.05$.


Question 4

What is y in $7.907 + 0.7 + y = 0.06$?

 A

-8.547.

 B

+8.547.

 C

-7.547.

 D

+7.547.

Soln.
Ans: a

y = 0.06 - (0.7 + 7.907) = -8.547.


Question 5

What is ${3.39^3 - 0.20^3}/{3.39^2 + 0.678 + 0.20^2}$?

 A

3.19.

 B

4.19.

 C

5.19.

 D

2.19.

Soln.
Ans: a

We know ${a^3 - b^3}/{a^2 + ab + b^2}$ is same as ${(a - b) × (a^2 + ab + b^2)}/{a^2 + ab + b^2}$ which is same as a - b. So we get a - b = 3.39 - 0.20 = 3.19.


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Creative Commons License
This Blog Post/Article "Decimal Numbers Quiz Set 001" 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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