Aptitude and Reasoning Questions

Q:

There is an empty reservoir whose capacity is 30 litres. There is an inlet pipe which fills at 5 L/min and there is an outlet pipe which empties at 4 L/min. Both the pipes function alternately for 1 minute. Assuming that the inlet pipe is the first one to function, how much time will it take for the reservoir to be filled up to its capacity?

A) 49.5 min B) 50 min
C) 51 min D) 52 min
 
Answer & Explanation Answer: C) 51 min

Explanation:

The work to be done = Capacity of reservoir  = 30 litres.

 1st Minute ---> inlet pipe opened ---> 5 lit filled

 2nd minute ---> inlet pipe closed; outlet pipe opened ---> 4 lit emptied

 

In 2 minutes (5 litres - 4 litres = 1lit) is filled into the reservoir.

It takes 2 minutes to fill 1lit ---> it takes 50 minutes to fill 25 litres into the reservoir.  

 

In the 51st minute inlet pipe is opened and the reservoir is filled.

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Filed Under: Pipes and Cistern
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24 9467
Q:

Two trains namely X & Y leave station 'A' at 6.30am and 7.40am and travel at 30km/hr and 40 km/hr respectively. How many kms from 'A' will the trains meet ?

A) 140 kms B) 120 kms
C) 96 kms D) 142 kms
 
Answer & Explanation Answer: A) 140 kms

Explanation:

It is given train X leave station A at 6:30 am, here it is asked to calculate the distance from A when the trains meet, the
Distance traveled by train left at 6:30 am upto 7:40 am i.e. in 1 hr. 10 min. or 7/6 hours = 30 x 7/6 = 35 km
So train leaving at 7:40 am will meet first train after covering a distance of 35 km. with relative speed of 40-30=10 km/hr.
Hence time taken = 35/10 = 3.5 hours or 3 hours 30 minutes
So distance from A = Distance traveled by 2nd train in 3 hr. 30 min
= 40 x 3.5 = 140 km.

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Filed Under: Problems on Trains
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15 9458
Q:

Pointing towards a photograph kiran said to chotu, "I am the only daughter of this lady and her son is your maternal uncle " How is the kiran related to chotu's father  ?

A) Cousin B) Daughter
C) Sister D) Wife
 
Answer & Explanation Answer: D) Wife

Explanation:

cpVU4AOGE7K85NoCI0.34923100_1496466517.png image 

So, the speaker is the mother of chotu. Kiran is wife of chotu's father. Chotu's father is not shown in the diagram.

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Filed Under: Blood Relations
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8 9451
Q:

A rectangular block has the dimensions 5x6x7 cm it is dropped into a cylindrical vessel of radius 6cm and height 10 cm. If the level of the fluid in the cylinder rises by 4 cm, What portion of the block is immersed in the fluid ?

A) 22/7 x 24/35 B) 22/7 x 36 x 4
C) 22/7 x 36/5 D) 22/7 x 37/21
 
Answer & Explanation Answer: A) 22/7 x 24/35

Explanation:

Since level of water increased in cylinder by height 4. 

This is because of the rectangular block .

 

Therefore , area of rectangular block immersed in water is 

= 227×6×6×4  

Thats why portion of block immersed in water is 

= (22/7 * 36 * 4) / total vol. of rectangle 

= (22/7 * 36 * 4)/ (7*5*6) 

= (22/7 * 24)/ 35.

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Filed Under: Volume and Surface Area
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7 9448
Q:

Two persons start running simultaneously around a circular track of length 600 m from the same point at speeds of 25 kmph and 35 kmph. When will they meet for the first time any where on the track  ?

A) 54 sec B) 36 sec
C) 72 sec D) 11 sec
 
Answer & Explanation Answer: B) 36 sec

Explanation:

Time taken to meet the first time = length of track/relative speed

 

Given the length of the track is 600 m

 

The relative speed = 25 + 35 = 60 kmph = 60 x 5/18 m

 

Therefore Time = 60025+35518= 600/60 x (18/5) = 36 sec.

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Filed Under: Time and Distance
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8 9435
Q:

In a simultaneous throw of two dice, what is the probability of getting a total of 7 ?

A) 1/6 B) 1/4
C) 1/20 D) 3/4
 
Answer & Explanation Answer: A) 1/6

Explanation:

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Filed Under: Probability

16 9430
Q:

Shyam Walked 6 metres facing towards East, then took a right turn and walked a distance of 9 metres.He then took a left turn and walked a distance of a metres. How far is he from the starting point?

A) 15 metres B) 21 metres
C) 18 metres D) Cannot be determined
 
Answer & Explanation Answer: A) 15 metres

Explanation:

 983115133311311553600957.png image

As clear from the diagram, AD2=122+92=152

 So, AD = 15

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Filed Under: Verbal Reasoning - Mental Ability
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18 9426
Q:

When the price of whear was increased by 32%, a family reduced its consumption in such a way that the expenditure on wheat was only 10% more than before. If 30 kg per month were consumed before, find the new monthly consumption of family?

A) 27 kgs B) 25 kgs
C) 24 kgs D) 21 kgs
 
Answer & Explanation Answer: B) 25 kgs

Explanation:

Initial wheat per kg cost be Rs. 100

Then, monthly expenditure of the family = 30 x 100 = 3000

After increase in cost,

Let P be new monthly consumption of family.

P x 132 = 110/100 x 3000

=> P = 25 kg.

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Filed Under: Percentage
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7 9422