Practice Questions on Ratios & Proportion
Aptitude Questions and Answers

Difficult Ratios & Proportion Question - 1

Q1.

A fort has provisions for 60 days. If after 15 days 500 men strengthen them and the food lasts 40 days longer, how many men are there in the fort?

A.

3500

B.

4000

C.

6000

D.

None

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Common Information

There are $N$ numbers of gold biscuits in the house, in which four people are lived. If the first men woke up and divided the biscuits into 5 equal piles and found one extra biscuit. He took one of those piles along with the extra biscuit and hid them. He then gathered the 4 remaining piles into a big pile, woke up the second person and went to sleep. Each of the other 3 persons did the same one by one i.e. divided the big pile into 5 equal piles and found one extra biscuit. Each hid one of the piles along with the extra biscuit and gathered the remaining 4 piles into a big pile.

Difficult Ratios & Proportion Question - 2

Q2.

Common Information Question: 1/3

If $N > 1000$, what could be the least value of $N$?

A.

1249

B.

1023

C.

1202

D.

1246

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Difficult Ratios & Proportion Question - 3

Q3.

Common Information Question: 2/3

If $N<1000$, how many biscuits were left after the fourth man took his share?

A.

624

B.

621

C.

252

D.

257

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Difficult Ratios & Proportion Question - 4

Q4.

Common Information Question: 3/3

In the previous question, what is the sum of the number of biscuits hidden by the last 2 men?

A.

142

B.

144

C.

180

D.

178

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Difficult Ratios & Proportion Question - 5

Q5.

Two alloys $A$ and $B$ are composed of two basic elements. The ratios of the compositions of the two basic elements in the two alloys are $5:3$ and $1:2$, respectively. A new alloy $X$ is formed by mixing the two alloys $A$ and $B$ in the ratio $4:3$. What is the ratio of the composition of the two basic elements in alloy $X$?

A.

$1:1$

B.

$2:3$

C.

$5:2$

D.

$4:3$

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