Aptitude and Reasoning Questions

Q:

A began a business with Rs. 85000. He was joined afterwards by B with Rs. 42,500. For how much perod does B join, if the profits at the end of the year are divided in the ratio of 3:1 ?

A) 8 months B) 6 months
C) 7 months D) 9 months
 
Answer & Explanation Answer: A) 8 months

Explanation:

Suppose B joined for x months.

Given profit is divided in the ratio 3:1. Then,

85000×1242500×x=31

 --> x = 8 months.

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Filed Under: Partnership
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Q:

The greatest possible value of n could be 9n < 108 if, given that log 3 = 0.4771 and nN:

A) 7 B) 8
C) 9 D) 10
 
Answer & Explanation Answer: B) 8

Explanation:

 

Taking Log to both sides 

 we get

 n = 8           

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Filed Under: Logarithms
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Q:

A town has a population of 4000 requires 140 liters of water per head. It has a tank measuring 18m x 12m x 8m. The water of this tank will suffice for ____ days?

A) 3 B) 4
C) 5 D) 2
 
Answer & Explanation Answer: A) 3

Explanation:

Water required = 4000 x 140 = 560000 lit = 560 cu.m (1 cu.m = 1000 lit)

Volume of tank = 18 x 12 x 8 = 1728 cu.m

Water of this tank will suffice for = 1728/560 = 3 days.

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Filed Under: Volume and Surface Area
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Q:

A bag contains 5 red smileys, 6 yellow smileys and 3 green smileys. If two smileys are picked at random, what is the probability that both are red or both are green in colour?

A) 7 B) 1/7
C) 3/7 D) 0
 
Answer & Explanation Answer: B) 1/7

Explanation:

Given total number of smileys = 5 + 6 + 3 = 14

Now, required probability = 

5C214C2 + 3C214C2 = 1091 + 391 = 1391 = 17

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Filed Under: Probability
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Q:

The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is:

A) 10 B) 15
C) 20 D) 30
 
Answer & Explanation Answer: D) 30

Explanation:

Let the three parts M, N, O.
Then, M:N = 2:3 and N:O = 5:8
= (5 x 3/5) : (8 x 3/5) = 3:24/5

M:N:O = 2:3:24/5

= 10:15:24 => N = 98 x 15/49 = 30.

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Filed Under: Ratios and Proportions
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Q:

There is an unprecedented increase in migration of villagers to urban areas as repeated crop failure has put them into precarious financial situation.

 

Courses of Action:

I. The villagers should be provided with alternate source of income in their villages which will make them stay put.

II. The migrated villagers should be provided with jobs in the urban areas to help them survive.

A) Only I follows B) Only II follows
C) Neither I nor II follows D) Both I and II follow
 
Answer & Explanation Answer: A) Only I follows

Explanation:

Clearly, increased migration would add to the burden on city's infrastructure. So, attempts should be made to make the villagers feel comfortable in the villages itself. So, only course I follows.

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Q:

The average of ages of threee persons is 60 years . Those ages are in the proportion of 1:2:3. what is the age of the youngest one among them?

Answer

Suppose the ages of three persons are x, 2x, 3x years respectively 





Hence, age of youngest person = x = 30 years.

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Subject: Problems on Ages

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Q:

What is value of P+QP-Q  if PQ=7 ?

A) 1/3 B) 2/3
C) 4/3 D) 5/3
 
Answer & Explanation Answer: C) 4/3

Explanation:

hence P=7Q

P+QP-Q=7Q+Q7Q-Q=8Q6Q=43

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Filed Under: Simplification

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