Decimal Numbers Quiz Set 016

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Question 1

Which is the smallest?

 A

$0.3^3$.

 B

$1/0.3$.

 C

$0.3$.

 D

$0.3^2$.

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, $1/0.3$ is same as $0.3^{-1}$. The three powers of 0.3 given to us are -1, 1, 2 and 3. Out of these 3 is the most positive, so, $0.3^3$ is the smallest.


Question 2

What is ${88 × 6.6 - 68 × 6.3}/1.3$?

 A

$117{3/13}$.

 B

$117{1/13}$.

 C

$117{5/13}$.

 D

$117{7/13}$.

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: ${88 × 66 - 68 × 63}/13$ which equals ${1524/13}$, which is same as: $117{3/13}$


Question 3

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 4

What is x in $0.008/x = 10$?

 A

0.0008.

 B

0.008..

 C

0.08..

 D

0.00008..

Soln.
Ans: a

The expression becomes $x = {8/1000} × {1/10}$ = 0.0008.


Question 5

What is 0.0027 × 0.04?

 A

$1.08 × 10^{-4}$.

 B

$1.08 × 10^{-3}$.

 C

$1.08 × 10^{-2}$.

 D

$1.08 × 10^{-5}$.

Soln.
Ans: a

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Creative Commons License
This Blog Post/Article "Decimal Numbers Quiz Set 016" 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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