# Basic Simplification Quiz Set 015

### Question 1

What is -288 + (-245) - (-268) + 282?

A

17.

B

18.

C

16.

D

19.

Soln.
Ans: a

We have -288 + (-245) - (-268) + 282 = -288 - 245 + 268 + 282 = -(288 + 245) + (268 + 282) = -533 + 550 = 17.

### Question 2

When a certain amount of money was distributed among 21 boys, each of them got Rs. 40 more than the amount received by 29 boys when the same amount was distributed among them. What was the amount?

A

Rs. 3045.

B

Rs. 3047.

C

Rs. 3043.

D

Rs. 3049.

Soln.
Ans: a

If x is the amount, \$x/21 - x/29 = 40\$, which can be re-arranged to get x = \${40 × 29 × 21}/{29 - 21}\$ = Rs. 3045.

### Question 3

The sum of solutions of |x - 5| = 44 is?

A

10.

B

12.

C

8.

D

14.

Soln.
Ans: a

x - 5 = +44, so x = 44 + 5 = 49 is one solution, and we can also have x - 5 = -44, which gives x = 5 - 44 = -39. The sum is 49 + (-39) = 10.

### Question 4

A salesman is on a tour and has Rs. 450 for his expenses. If he exceeds his tour by 15 days, then he has to cut down his daily expenses by Rs. 15. What is the duration of his tour?

A

15 days.

B

17 days.

C

13 days.

D

19 days.

Soln.
Ans: a

Let the duration be x days. We have \$450/x\$ - \$450/{x + 15}\$ = 15. This equation can now be solved, or you can try substituting the options one by one, to obtain x = 15 days.

### Question 5

In a group of dogs and hens the number of legs is more than 2 times the number of heads by 32. What is the number of dogs?

A

16.

B

18.

C

14.

D

20.

Soln.
Ans: a

Let x be the number of dogs, and y the number of hens. Total number of legs = 4x + 2y. The total number of heads is x + y. So 4x + 2y = 2(x + y) + 32. Cancelling 2y, and solving for x, we get x = 16. 