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
Exam Prep: CAT
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24 9303
Q:

There are 44 students in a hostel, due to the administration,  15 new students has joined. The expense of the mess increase by Rs. 33 per day. While the average expenditure per head diminished by Rs. 3, what was the original expenditure of the mess ?

A) Rs. 404 B) Rs. 514
C) Rs. 340 D) Rs. 616
 
Answer & Explanation Answer: D) Rs. 616

Explanation:

Let the average expenditure per head be Rs. p
Now, the expenditure of the mess for old students is Rs. 44p
After joining of 15 more students, the average expenditure per head is decreased by Rs. 3 => p-3
Here, given the expenditure of the mess for (44+15 = 59) students is increased by Rs. 33
Therefore, 59(p-3) = 44p + 33
59p - 177 = 44p + 33
15p = 210
=> p = 14
Thus, the expenditure of the mess for old students is Rs. 44p = 44 x 14 = Rs. 616.

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Filed Under: Average
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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11 9299
Q:

Motorcycle : Battery :: Life : ?

A) Star B) Moon
C) Sun D) Earth
 
Answer & Explanation Answer: C) Sun

Explanation:

Second is the ultimate source for the first.

That is, Battery is the source of motorcycle. Similarly, Sun is the ultimate source of life.

 

Hence, Motorcycle : Battery :: Life : Sun.

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Filed Under: Analogy
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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34 9288
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
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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7 9285
Q:

Optimist is to cheerful as Pessimist is to

A) Helpful B) Mean
C) Petty D) Gloomy
 
Answer & Explanation Answer: D) Gloomy

Explanation:

The given words are related in a way that, an optimist is a person whose outlook is cheerful. Similarly, a pessimist is a person whose outlook is gloomy.

 

The answer is not (b) because a pessimist does not have to be mean. Options (c) and (a) are incorrect because neither words describe the outlook of a pessimist.

 

Hence, Optimist is to cheerful as Pessimist is to Gloomy.

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Filed Under: Analogy
Exam Prep: AIEEE , Bank Exams , CAT , GRE , TOEFL
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

3 9281
Q:

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

A) 648 B) 1800
C) 2700 D) 10800
 
Answer & Explanation Answer: B) 1800

Explanation:

Let the required number of bottles be x.

More machines, More bottles (Direct Proportion)

More minutes, More bottles (Direct Proportion)

 machines6:10time(in min)1:4  270:x 

 

=> 6 * 1 * x = 10 * 4 * 270

=> x= 1800

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Filed Under: Chain Rule

3 9277
Q:

Find the remainder when 1234 x 1235 x 1237 is divided by 8.

A) 4 B) 2
C) 0 D) 6
 
Answer & Explanation Answer: D) 6

Explanation:

When we divide 1234 by 8, remainder is 2

When we divide 1235 by 8, remainder is 3

When we divide 1237 by 8, remainder is 5

---> 2 x 3 x 5 = 30 

As 30 will not be the remainder because it is greater than 8,

when 30 divided by 8, remainder = 6.

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank PO

7 9276
Q:

A man sells Rs.5000, 12 % stock at 156 and uinvests the proceeds parity in 8 % stock at 90 and 9 % stock at 108. He hereby increases his income by Rs. 70. How much of the proceeds were invested in each stock?

A) 4000 B) 4200
C) 4002 D) 4020
 
Answer & Explanation Answer: B) 4200

Explanation:

S.P of Rs. 5000 stock = Rs.156100*5000= Rs. 7800. 

 

Income from this stock = Rs.12100*5000 = Rs. 600.  

 

Let investment in 8 % stock be x and that in 9 % stock = (7800 - x).

 

Therefore,  

 

x*890+7800-x*9108=600+70  

 

4x45+7800-x12=670x=3600 

 

Therefore,  Money invested in 8 % stock at 90 = Rs. 3600.

 

Money invested in 9 % at 108 = Rs. (7800-3600) = Rs. 4200.

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Filed Under: Stocks and Shares

14 9276