Decimal Numbers Quiz Set 014

Question 1

What is \$61{22/100000}\$?

A

61.00022.

B

0.142.

C

0.0142.

D

0.00142.

Soln.
Ans: a

The given expression can be written as \${61 × 100000 + 22}/100000\$ which is same as \$6100022/100000\$ which gives 61.00022

Question 2

If \$5.57/0.4\$ = 13.925, then \$0.0557/4\$ = ?

A

0.013925.

B

0.13925.

C

0.0013925.

D

1.3925.

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 z in \$9.477 + 0.2 - z = 0.02\$?

A

9.657.

B

8.657.

C

9.756.

D

8.756.

Soln.
Ans: a

z = (0.2 + 9.477) - 0.02 = 9.657.

Question 4

For what value of x would this expression be a perfect square: \$9.14 × 9.14 + x × 9.14 + 0.1 × 0.1\$?

A

0.2.

B

2.0.

C

0.002.

D

0.02.

Soln.
Ans: a

Comparing the given expression with \$a^2 + 2 × a ×b + b^2 = (a + b)^2\$, we see that if a = 9.14, and b = 0.1 then by inspection, x should be equal to 2b = 2 × 0.1 = 0.2.

Question 5

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.