# Basic Simplification Quiz Set 004

### Question 1

A candidate attempts 94 questions and gets a score of 141. How many questions did he attempt wrongly, if 4 marks are awarded for a correct answer, and 1 is deducted for a wrong answer?

A

47.

B

48.

C

46.

D

49.

Soln.
Ans: a

Had he attempted all correctly, he would have got 94 × 4 = 376. But he has lost 376 - 141 = 235 marks due to wrong attempts. Each wrong attempt leads to an overall loss of 5 marks, so the number of wrong attempts is 235/5 = 47.

### Question 2

What is 183 × 9?

A

1647.

B

1656.

C

1638.

D

1665.

Soln.
Ans: a

This is a multiplication by 9. Proceed like this: 183 × 9 = 183 × (10 - 1) = 183 × 10 - 183 = 1830 - 183 = 1647. 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 3

What is 139 × 25?

A

3475.

B

3480.

C

3470.

D

3485.

Soln.
Ans: a

This is a multiplication by a power of 5. The best way is to observe that 25 = 52. There are 2 powers of 5. So append 2 zeroes and divide by 22, like this: \$13900/4\$ = 3475.

### Question 4

In a group of dogs and hens the number of legs is more than 2 times the number of heads by 26. What is the number of dogs?

A

13.

B

15.

C

11.

D

17.

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) + 26. Cancelling 2y, and solving for x, we get x = 13.

### Question 5

What is -261 + (-380) - (-521) + 105?

A

-15.

B

-14.

C

-12.

D

-13.

Soln.
Ans: a

We have -261 + (-380) - (-521) + 105 = -261 - 380 + 521 + 105 = -(261 + 380) + (521 + 105) = -641 + 626 = -15. This Blog Post/Article "Basic Simplification Quiz Set 004" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.