# Decimal Numbers Quiz Set 011

### Question 1

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

### Question 2

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\$.

### Question 3

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 4

What is y in \$1.74 + 0.1 + y = 0.05\$?

A

-1.79.

B

1.5.

C

0.15.

D

0.015.

Soln.
Ans: a

y = 0.05 - (0.1 + 1.74) = -1.79.

### Question 5

For what value of x would this expression be a perfect square: \$1.76 × 1.76 + x × 1.76 + 0.5 × 0.5\$?

A

1.

B

0.1.

C

0.01.

D

0.001.

Soln.
Ans: a

Comparing the given expression with \$a^2 + 2 × a ×b + b^2 = (a + b)^2\$, we see that if a = 1.76, and b = 0.5 then by inspection, x should be equal to 2b = 2 × 0.5 = 1.