# Decimal Numbers Quiz Set 015

### Question 1

What is \$9.326 + 0.7 + 0.03\$?

A

10.056.

B

11.056.

C

12.056.

D

9.056.

Soln.
Ans: a

By simple addition we get \$9.326 + 0.7 + 0.03 = 10.056\$.

### Question 2

What is \$4.823 + 0.7 + 0.05\$?

A

5.573.

B

6.573.

C

7.573.

D

4.573.

Soln.
Ans: a

By simple addition we get \$4.823 + 0.7 + 0.05 = 5.573\$.

### Question 3

Which is the smallest?

A

\$0.001^3\$.

B

\$1/0.001\$.

C

\$0.001\$.

D

\$0.001^2\$.

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, \$1/0.001\$ is same as \$0.001^{-1}\$. The three powers of 0.001 given to us are -1, 1, 2 and 3. Out of these 3 is the most positive, so, \$0.001^3\$ is the smallest.

### Question 4

What is \${(-82) × 7.2 - 32 × (-3.4)}/2.5\$?

A

\$-192{16/25}\$.

B

\$-192{12/25}\$.

C

\$+192{16/25}\$.

D

\$+192{12/25}\$.

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: \${(-82) × 72 - 32 × (-34)}/25\$. We can now simpilfy the minus signs to get \${(32 × 34) - (82 × 72)}/25\$ which equals \${-4816/25}\$, which is same as: \$-192{16/25}\$

### Question 5

What is \${0.60 × 0.60 × 0.60 + 0.04 × 0.04 × 0.04}/{4.20 × 4.20 × 4.20 + 0.28 × 0.28 × 0.28}\$?

A

\$1/7^3\$.

B

\$1/7^2\$.

C

\$1/7^4\$.

D

\$1/7\$.

Soln.
Ans: a

By inspection, the given ratio is same as \${0.60 × 0.60 × 0.60 + 0.04 × 0.04 × 0.04}/{7^3 × ({0.60 × 0.60 × 0.60 + 0.04 × 0.04 × 0.04})}\$ which is \$1/7^3\$. This Blog Post/Article "Decimal Numbers Quiz Set 015" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-04-21