Decimal Numbers Quiz Set 009

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Question 1

0.00218828 is same as?

 A

$2.18828 × 10^{-3}$.

 B

$2.18828 × 10^{-2}$.

 C

$2.18828 × 10^{-1}$.

 D

$2.18828 × 10^{-4}$.

Soln.
Ans: a

Question 2

What is ${(-32) × 2.9 - 47 × (-3.8)}/6.9$?

 A

$12{10/23}$.

 B

$12{9/23}$.

 C

$12{7/23}$.

 D

$12{11/23}$.

Soln.
Ans: a

Observe that all fractional numbers are having one digit to the right of the dot. So we can cancel all the dots and get a plain expression: ${(-32) × 29 - 47 × (-38)}/69$. We can now simpilfy the minus signs to get ${(47 × 38) - (32 × 29)}/69$ which equals ${286/23}$, which is same as: $12{10/23}$


Question 3

For what value of x would this expression be a perfect square: $1.76 × 1.76 + x × 1.76 + 0.5 × 0.5$?

 A

1.

 B

0.1.

 C

0.01.

 D

0.001.

Soln.
Ans: a

Comparing the given expression with $a^2 + 2 × a ×b + b^2 = (a + b)^2$, we see that if a = 1.76, and b = 0.5 then by inspection, x should be equal to 2b = 2 × 0.5 = 1.


Question 4

What is $0.15966/0.02$?

 A

7.983.

 B

6.983.

 C

5.983.

 D

8.983.

Soln.
Ans: a

The given expression can be written as ${15966/2} × {100/100000}$ which is same as ${15966/2} × {1/1000}$, which is same as $7983 × {1/1000}$, which is same as 7.983


Question 5

Which is the smallest?

 A

$0.32^3$.

 B

$1/0.32$.

 C

$0.32$.

 D

$0.32^2$.

Soln.
Ans: a

We know that if a number is less than 1, then it becomes smaller and smaller as it is raised to higher and higher positive powers. Now, $1/0.32$ is same as $0.32^{-1}$. The three powers of 0.32 given to us are -1, 1, 2 and 3. Out of these 3 is the most positive, so, $0.32^3$ is the smallest.


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Creative Commons License
This Blog Post/Article "Decimal Numbers Quiz Set 009" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.

Posted by Parveen(Hoven),
Aptitude Trainer


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