# Decimal Numbers Quiz Set 017

### Question 1

What is \${3.67^3 - 0.10^3}/{3.67^2 + 0.367 + 0.10^2}\$?

A

+3.57.

B

+3.77

C

-3.57.

D

-3.77.

Soln.
Ans: a

We know \${a^3 - b^3}/{a^2 + ab + b^2}\$ is same as \${(a - b) × (a^2 + ab + b^2)}/{a^2 + ab + b^2}\$ which is same as a - b. So we get a - b = 3.67 - 0.10 = 3.57.

### Question 2

What is \$0.17386/0.0002\$?

A

869.3.

B

86.93.

C

8.693.

D

8693.

Soln.
Ans: a

The given expression can be written as \${17386/2} × {10000/100000}\$ which is same as \${17386/2} × {1/10}\$, which is same as \$8693 × {1/10}\$, which is same as 869.3

### Question 3

What is 0.0088 × 0.38?

A

\$3.344 × 10^{-3}\$.

B

\$3.344 × 10^{-2}\$.

C

\$3.344 × 10^{-1}\$.

D

\$3.344 × 10^{-4}\$.

Soln.
Ans: a

### Question 4

What is \${4.42^2 - 4.05^2}/{4.42 - 4.05}\$?

A

8.47.

B

7.47.

C

6.47.

D

9.47.

Soln.
Ans: a

We know \$a^2 - b^2\$ = \$(a - b) × (a + b)\$. So \${a^2 - b^2}/{a - b}\$ is same as a + b. We get a + b = 4.42 + 4.05 = 8.47.

### Question 5

What is \$0.056296/0.008\$?

A

7.037.

B

7.37.

C

7.0037.

D

7.00037.

Soln.
Ans: a

The given expression can be written as \${56296/8} × {1000/1000000}\$ which is same as \${56296/8} × {1/1000}\$, which is same as \$7037 × {1/1000}\$, which is same as 7.037 