# Basic Simplification Quiz Set 010

### Question 1

In a group of dogs and hens the number of legs is more than 2 times the number of heads by 22. What is the number of dogs?

A

11.

B

13.

C

9.

D

15.

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) + 22. Cancelling 2y, and solving for x, we get x = 11.

### Question 2

In a group of dogs and hens the number of legs is more than 2 times the number of heads by 10. What is the number of dogs?

A

5.

B

7.

C

3.

D

9.

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) + 10. Cancelling 2y, and solving for x, we get x = 5.

### Question 3

Out of a collection of only blue and pink marbles, 2 pink marbles are removed away. After that there are 2 blue marbles for every pink marble. Next, 18 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

2 marbles.

B

4 marbles.

C

8 marbles.

D

6 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 18 blue marbles, the equation becomes x + 18 = 2 × 5x, which gives 9x = 18, or x = 2 marbles. Note: some information in the question is never used, it is given for confusing the candidate.

### Question 4

A piece of length \$12{2/27}\$ is cut out of a pipe of length \$27{1/6}\$. What is the length of the remaining pipe?

A

\$15{5/54}\$.

B

\$16{21/53}\$.

C

\$13{33/56}\$.

D

\$17{25/56}\$.

Soln.
Ans: a

We have to find \$27{1/6}\$ - \$12{2/27}\$, which is same as \${163/6}\$ - \${326/27}\$ = 163 × \${27 - 6}/{27 × 6}\$ = \${815/54}\$. So \${815/54}\$, which is same as: \$15{5/54}\$ is the required answer.

### Question 5

Mr. X and Mr. Y have certain number of marbles with them. If Mr. X gives 7 marbles to Mr. Y, they will have the same number of marbles. But, if Mr. Y gives 2 marbles to Mr. X, then Mr. X will have twice as many marbles as are left with Mr. Y. How many marbles does Y have?

A

20.

B

22.

C

18.

D

24.

Soln.
Ans: a

Let them have X and Y marbles, respectively. We have X - 7 = Y + 7, which gives X - Y = 14. By the second condition, X + 2 = 2(Y - 2), which can be re-arranged to X - 2Y = -6. Solving for Y, we get Y = 20. This Blog Post/Article "Basic Simplification Quiz Set 010" 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