Decimal Numbers Quiz Set 005

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Question 1

What is ${4.91^3 - 0.40^3}/{4.91^2 + 1.964 + 0.40^2}$?

 A

+4.51.

 B

+5.31.

 C

-5.31.

 D

-4.51.

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 = 4.91 - 0.40 = 4.51.


Question 2

What is $0.013896/0.02$?

 A

0.6948.

 B

6.948.

 C

0.06948.

 D

0.006948.

Soln.
Ans: a

The given expression can be written as ${13896/2} × {100/1000000}$ which is same as ${13896/2} × {1/10000}$, which is same as $6948 × {1/10000}$, which is same as 0.6948


Question 3

If $2.35/0.3$ = 7.833333, then $0.0235/3$ = ?

 A

0.007833333.

 B

0.07833333.

 C

0.7833333.

 D

0.0007833333.

Soln.
Ans: a

Numerator is divided by 100, and denominator multiplied by 10, so the answer should get divided by 1000.


Question 4

What is $6.062 - (-0.8) + 0.03 - (-0.09)$?

 A

6.982.

 B

7.982.

 C

5.982.

 D

8.982.

Soln.
Ans: a

The given expression is same as $6.062 + 0.8 + 0.03 + 0.09$, then by simple addition we get $6.062 + 0.8 + 0.03 + 0.09 = 6.982$.


Question 5

What is ${0.60 × 0.60 × 0.60 + 0.04 × 0.04 × 0.04}/{4.80 × 4.80 × 4.80 + 0.32 × 0.32 × 0.32}$?

 A

$1/8^3$.

 B

$1/8^2$.

 C

$1/7^3$.

 D

$1/7^2$.

Soln.
Ans: a

By inspection, the given ratio is same as ${0.60 × 0.60 × 0.60 + 0.04 × 0.04 × 0.04}/{8^3 × ({0.60 × 0.60 × 0.60 + 0.04 × 0.04 × 0.04})}$ which is $1/8^3$.


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This Blog Post/Article "Decimal Numbers Quiz Set 005" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-10-26.

Posted by Parveen(Hoven),
Aptitude Trainer


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