# Basic Simplification Quiz Set 020

### Question 1

What is 320 × 125?

A

40000.

B

40005.

C

39995.

D

40010.

Soln.
Ans: a

This is a multiplication by a power of 5. The best way is to observe that 125 = 53. There are 3 powers of 5. So append 3 zeroes and divide by 23, like this: \$320000/8\$ = 40000.

### Question 2

1/12 of a boy's score in Maths exceeds 1/21 of his score in English by 25 marks. What is his score in English, if his total score in English and Maths is 432?

A

84 marks.

B

86 marks.

C

82 marks.

D

88 marks.

Soln.
Ans: a

Let the score in English be E, then his score in math is 432 - E. We have also been given \$(432 - E)/12 = E/21 + 25\$. Solving for E, we get E = 84.

### Question 3

Out of a collection of only blue and pink marbles, 9 pink marbles are removed away. After that there are 2 blue marbles for every pink marble. Next, 27 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

3 marbles.

B

5 marbles.

C

9 marbles.

D

7 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 27 blue marbles, the equation becomes x + 27 = 2 × 5x, which gives 9x = 27, or x = 3 marbles. Note: some information in the question is never used, it is given for confusing the candidate.

### Question 4

When a certain amount of money was distributed among 17 boys, each of them got Rs. 48 more than the amount received by 23 boys when the same amount was distributed among them. What was the amount?

A

Rs. 3128.

B

Rs. 3130.

C

Rs. 3126.

D

Rs. 3132.

Soln.
Ans: a

If x is the amount, \$x/17 - x/23 = 48\$, which can be re-arranged to get x = \${48 × 23 × 17}/{23 - 17}\$ = Rs. 3128.

### Question 5

A piece of length \$10{3/25}\$ is cut out of a pipe of length \$25{3/10}\$. What is the length of the remaining pipe?

A

\$15{9/50}\$.

B

\$16{25/49}\$.

C

\$13{33/52}\$.

D

\$17{25/52}\$.

Soln.
Ans: a

We have to find \$25{3/10}\$ - \$10{3/25}\$, which is same as \${253/10}\$ - \${253/25}\$ = 253 × \${25 - 10}/{25 × 10}\$ = \${759/50}\$. So \${759/50}\$, which is same as: \$15{9/50}\$ is the required answer.

Updated on 2020-02-07. Published on: 2016-05-13

Posted by Parveen(Hoven),
Aptitude Trainer