# Basic Simplification Quiz Set 006

### Question 1

The sum of solutions of |x - 4| = 54 is?

A

8.

B

10.

C

6.

D

12.

Soln.
Ans: a

x - 4 = +54, so x = 54 + 4 = 58 is one solution, and we can also have x - 4 = -54, which gives x = 4 - 54 = -50. The sum is 58 + (-50) = 8.

### Question 2

What is 391 + 196 - 1 × 579 ÷ 193?

A

584.

B

585.

C

583.

D

586.

Soln.
Ans: a

We have by bodmas 391 + 196 - 1 × 579 ÷ 193 = 391 + 196 - (1 × (579 ÷ 193)) = (391 + 196) - (1 × (3)) = (391 + 196) - 3 = 587 - 3 = 584.

### Question 3

Out of a collection of only blue and pink marbles, 6 pink marbles are removed away. After that there are 2 blue marbles for every pink marble. Next, 9 blue marbles are removed away. As a result, there are 5 pink marbles for every blue marble. How many blue marbles are there at present?

A

1 marbles.

B

3 marbles.

C

7 marbles.

D

5 marbles.

Soln.
Ans: a

Let the number of blue marbles at present be x. The number of pink marbles at present are 5x. If we put back 9 blue marbles, the equation becomes x + 9 = 2 × 5x, which gives 9x = 9, or x = 1 marbles. Note: some information in the question is never used, it is given for confusing the candidate.

### Question 4

Out of a collection of only blue and pink marbles, 1 pink marbles are removed away. After that there are 2 blue marbles for every pink marble. Next, 45 blue marbles are removed away. As a result, there are 5 pink marbles for every blue marble. How many blue marbles are there at present?

A

5 marbles.

B

7 marbles.

C

3 marbles.

D

9 marbles.

Soln.
Ans: a

Let the number of blue marbles at present be x. The number of pink marbles at present are 5x. If we put back 45 blue marbles, the equation becomes x + 45 = 2 × 5x, which gives 9x = 45, or x = 5 marbles. Note: some information in the question is never used, it is given for confusing the candidate.

### Question 5

The sum of solutions of |x - 5| = 81 is?

A

10.

B

12.

C

8.

D

14.

Soln.
Ans: a

x - 5 = +81, so x = 81 + 5 = 86 is one solution, and we can also have x - 5 = -81, which gives x = 5 - 81 = -76. The sum is 86 + (-76) = 10.

This Blog Post/Article "Basic Simplification Quiz Set 006" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-05-13

Posted by Parveen(Hoven),
Aptitude Trainer