# Basic Simplification Quiz Set 018

### Question 1

What is 480 × 9?

A

4320.

B

4329.

C

4311.

D

4338.

Soln.
Ans: a

This is a multiplication by 9. Proceed like this: 480 × 9 = 480 × (10 - 1) = 480 × 10 - 480 = 4800 - 480 = 4320. Sometimes, the options can be ruled out by examining the units places, but for simpler cases these shortcuts will help you save time overall.

### Question 2

What is 226 × 49?

A

11074.

B

11083.

C

11065.

D

11092.

Soln.
Ans: a

This is a multiplication by a number whose units place is 9. Proceed like this: 226 × 49 = 226 × (40 + 9) = 226 × (40 + 10 - 1) = (226 × 40) + (226 × 10) - 226 = 9040 + 2260 - 226 = 11074. The other approach could have been 226 × 49 = 226 × (50 - 1), etc.,

### Question 3

Cost of 1 kg of a metal is Rs. \$34{1/2}\$. What is the cost of \${68/69}\$ kg?

A

Rs. 34.

B

Rs. 35.

C

Rs. 33.

D

Rs. 36.

Soln.
Ans: a

We have to find \$34{1/2}\$ × \${68/69}\$, which can be written as \${69/2}\$ × \${68/69}\$, which simplifies to 68/2 = Rs. 34.

### Question 4

When a certain amount of money was distributed among 15 boys, each of them got Rs. 18 more than the amount received by 21 boys when the same amount was distributed among them. What was the amount?

A

Rs. 945.

B

Rs. 947.

C

Rs. 943.

D

Rs. 949.

Soln.
Ans: a

If x is the amount, \$x/15 - x/21 = 18\$, which can be re-arranged to get x = \${18 × 21 × 15}/{21 - 15}\$ = Rs. 945.

### Question 5

The maximum value of the expression 64 - |x - 8| is?

A

64.

B

66.

C

62.

D

68.

Soln.
Ans: a

The maximum occurs when the value of |x - 8| is the lowest, which is 0, so the maximum value is 64. 