# Basic Simplification Quiz Set 017

### Question 1

The sum of solutions of |x - 7| = 89 is?

A

14.

B

16.

C

12.

D

18.

Soln.
Ans: a

x - 7 = +89, so x = 89 + 7 = 96 is one solution, and we can also have x - 7 = -89, which gives x = 7 - 89 = -82. The sum is 96 + (-82) = 14.

### Question 2

Cost of 1 kg of a metal is Rs. \$23{1/2}\$. What is the cost of \${46/47}\$ kg?

A

Rs. 23.

B

Rs. 24.

C

Rs. 22.

D

Rs. 25.

Soln.
Ans: a

We have to find \$23{1/2}\$ × \${46/47}\$, which can be written as \${47/2}\$ × \${46/47}\$, which simplifies to 46/2 = Rs. 23.

### Question 3

What is 292 × 89?

A

25988.

B

25997.

C

25979.

D

26006.

Soln.
Ans: a

This is a multiplication by a number whose units place is 9. Proceed like this: 292 × 89 = 292 × (80 + 9) = 292 × (80 + 10 - 1) = (292 × 80) + (292 × 10) - 292 = 23360 + 2920 - 292 = 25988. The other approach could have been 292 × 89 = 292 × (90 - 1), etc.,

### Question 4

When a certain amount of money was distributed among 21 boys, each of them got Rs. 30 more than the amount received by 26 boys when the same amount was distributed among them. What was the amount?

A

Rs. 3276.

B

Rs. 3278.

C

Rs. 3274.

D

Rs. 3280.

Soln.
Ans: a

If x is the amount, \$x/21 - x/26 = 30\$, which can be re-arranged to get x = \${30 × 26 × 21}/{26 - 21}\$ = Rs. 3276.

### Question 5

What is -591 + (-181) - (-109) + 130?

A

-533.

B

-532.

C

-530.

D

-531.

Soln.
Ans: a

We have -591 + (-181) - (-109) + 130 = -591 - 181 + 109 + 130 = -(591 + 181) + (109 + 130) = -772 + 239 = -533. 