# Decimal Numbers Quiz Set 012

### Question 1

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 2

If \$8.78/0.9\$ = 9.755555, then \$0.0878/9\$ = ?

A

0.009755555.

B

0.09755555.

C

0.9755555.

D

9.755555.

Soln.
Ans: a

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

### Question 3

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.

### Question 4

What is x in \$0.083/x = 0.0083\$?

A

10.

B

1.

C

100.

D

0.1.

Soln.
Ans: a

The expression becomes \$x = {83/83} × {10000/1000}\$ = 10.

### Question 5

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.