# Basic Simplification Quiz Set 003

### Question 1

A salesman is on a tour and has Rs. 240 for his expenses. If he exceeds his tour by 4 days, then he has to cut down his daily expenses by Rs. 10. What is the duration of his tour?

A

10 days.

B

12 days.

C

8 days.

D

14 days.

Soln.
Ans: c

Let the duration be x days. We have \$240/x\$ - \$240/{x + 4}\$ = 10. This equation can now be solved, or you can try substituting the options one by one, to obtain x = 8 days.

### Question 2

When a certain amount of money was distributed among 8 boys, each of them got Rs. 36 more than the amount received by 14 boys when the same amount was distributed among them. What was the amount?

A

Rs. 672.

B

Rs. 674.

C

Rs. 670.

D

Rs. 676.

Soln.
Ans: a

If x is the amount, \$x/8 - x/14 = 36\$, which can be re-arranged to get x = \${36 × 14 × 8}/{14 - 8}\$ = Rs. 672.

### 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, 36 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

4 marbles.

B

6 marbles.

C

10 marbles.

D

8 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 36 blue marbles, the equation becomes x + 36 = 2 × 5x, which gives 9x = 36, or x = 4 marbles. Note: some information in the question is never used, it is given for confusing the candidate.

### Question 4

The value of x for which the value of |3x - 6| is minimum is?

A

2.

B

4.

C

8.

D

6.

Soln.
Ans: a

The minimum value of |3x - 6| is 0. So 3x - 6 = 0, when x = 2.

### Question 5

1/10 of a boy's score in Maths exceeds 1/25 of his score in English by 22 marks. What is his score in English, if his total score in English and Maths is 465?

A

175 marks.

B

177 marks.

C

173 marks.

D

179 marks.

Soln.
Ans: a

Let the score in English be E, then his score in math is 465 - E. We have also been given \$(465 - E)/10 = E/25 + 22\$. Solving for E, we get E = 175. 