# Decimal Numbers Quiz Set 007

### Question 1

If \$8.77/0.6\$ = 14.61667, then \$0.0877/6\$ = ?

A

0.01461667.

B

0.1461667.

C

0.001461667.

D

1.461667.

Soln.
Ans: a

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

### Question 2

What is \$9.102 - (-0.5) + 0.04 - (-0.02)\$?

A

9.662.

B

8.662.

C

7.662.

D

5.662.

Soln.
Ans: a

The given expression is same as \$9.102 + 0.5 + 0.04 + 0.02\$, then by simple addition we get \$9.102 + 0.5 + 0.04 + 0.02 = 9.662\$.

### Question 3

Which is the smallest?

A

\$0.35^3\$.

B

\$1/0.35\$.

C

\$0.35\$.

D

\$0.35^2\$.

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, \$1/0.35\$ is same as \$0.35^{-1}\$. The three powers of 0.35 given to us are -1, 1, 2 and 3. Out of these 3 is the most positive, so, \$0.35^3\$ is the smallest.

### Question 4

For what value of x would this expression be a perfect square: \$6.73 × 6.73 - x × 6.73 + 0.2 × 0.2\$?

A

0.4.

B

0.04.

C

0.004.

D

4.0.

Soln.
Ans: a

Comparing the given expression with \$a^2 - 2 × a ×b + b^2 = (a - b)^2\$, we see that if a = 6.73, and b = 0.2 then by inspection, x should be equal to 2b = 2 × 0.2 = 0.4.

### Question 5

What is x in \$0.055/x = 0.55\$?

A

0.1.

B

1.0.

C

0.01.

D

0.001.

Soln.
Ans: a

The expression becomes \$x = {55/55} × {100/1000}\$ = 0.1. 