Aptitude and Reasoning Questions

Q:

A university library budget committee must reduce exactly five of eight areas of expenditure—I, J, K, L, M, N, O and P—in accordance with the following conditions:

If both I and O are reduced, P is also reduced.
If L is reduced, neither N nor O is reduced.
If M is reduced, J is not reduced.
Of the three areas J, K, and N exactly two are reduced.

 

Question :

If both K and N are reduced, which one of the following is a pair of areas neither of which could be reduced?

A) I, L B) J, L
C) J, M D) I, J
 
Answer & Explanation Answer: B) J, L

Explanation:

This question concerns a committee’s decision about which five of eight areas of expenditure to reduce. The question requires you to suppose that K and N are among the areas that are to be reduced, and then to determine which pair of areas could not also be among the five areas that are reduced.

The fourth condition given in the passage on which this question is based requires that exactly two of K, N, and J are reduced. Since the question asks us to suppose that both K and N are reduced, we know that J must not be reduced:

Reduced         ::      K, N
Not reduced   ::      J

The second condition requires that if L is reduced, neither N nor O is reduced. So L and N cannot both be reduced. Here, since N is reduced, we know that L cannot be. Thus, adding this to what we’ve determined so far, we know that J and L are a pair of areas that cannot both be reduced if both K and N are reduced:

Reduced        ::      K, N
Not reduced  ::      J, L

Answer choice (B) is therefore the correct answer.

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14 10968
Q:

A and B can fill the tank in 60 min and 90 min. There is a leak at 3/4th of the height. If leak is opened alone, it takes 36 min to empty till 3/4th the height. Find the time taken to fill the tank if all of the taps and the leak are opened simultaneously.

A) 39 B) 27
C) 37 D) 33
 
Answer & Explanation Answer: A) 39

Explanation:
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Filed Under: Pipes and Cistern
Exam Prep: Bank Exams
Job Role: Bank PO

50 10964
Q:

The marked price of an article is increased by 25% and the selling price is increased by 16.66%, then the amount of profit doubles. If the original marked price be Rs. 400 which is greater than the corresponding cost price by 33.33%, what is the increased selling price?

A) Rs. 380 B) Rs. 420
C) Rs. 460 D) Rs. 440
 
Answer & Explanation Answer: B) Rs. 420

Explanation:

As given in the question, Marked price is 25% more than the Cost price.

=> C.P of the article = 34 x 400 = 300 

Now, 

Let the original S.P of the article be Rs. P

Now the new S.P = P + 16.666 +13.333300 x P 

=> S.P = 7P6

According to the question,

7P6 - 300 = 2P - 300

=> 5P = 1800

=> P = Rs. 360

Hence, the increased S.P = 360 x 7/6 = Rs. 420. 

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , IT Trainer

11 10963
Q:

Two trains are running at 60 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 6 seconds. What is the length of the fast train ?

A. 6623 mts

B. 6632 mts

C.6345 mts

D. 6354 mts

A) Option A B) Option B
C) Option C D) Option D
 
Answer & Explanation Answer: A) Option A

Explanation:

As Trains are moving in same direction,

Relative Speed = 60-20 = 40 kmph

--> 40×518=1009 m/sec

 

Length of Train= Speed * Time

 

Length = 1009×6

2003=6623 mts 

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Filed Under: Problems on Trains
Exam Prep: CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

12 10962
Q:

City Population Literates Illiterates % of Illiterates
A 200 150 50 -
B - 200 100 66.6
C 150 50 100 -
D 120 - 90 25

 

Based on the given data, the percentage of literates in city C is ___ (round to one decimal).

A) 33.4 B) 33.3
C) 34.5 D) 32.3
 
Answer & Explanation Answer: B) 33.3

Explanation:
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Filed Under: Table Charts
Exam Prep: Bank Exams , CAT

1 10958
Q:

If the HCF of 210 and 55 is expressible in the form of 210 x 5 + 55P, then value of P = ?

A) -23 B) 27
C) 16 D) -19
 
Answer & Explanation Answer: D) -19

Explanation:

HCF of 210 and 55 is 5

Now, 210x5 + 55P = 5

=> 1050 + 55P = 5

=> 55P = -1045

=> P = -1045/55

=> P = -19.

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Filed Under: HCF and LCM
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

28 10957
Q:

The banker's discount on Rs. 1800 at 12% per annum is equal to the true discount on Rs. 1872 for the same time at the same rate. Find the time.

A) 7 months B) 6 months
C) 3 months D) 4 months
 
Answer & Explanation Answer: D) 4 months

Explanation:

S.I. on Rs. 1800 = T.D. on Rs. 1872.

P.W. of Rs. 1872 is Rs. 1800.

Rs. 72 is S.I. on Rs. 1800 at 12%.

Time =[(100 x 72)/ (12x1800)]year

        =1/3year = 4 months.

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Filed Under: Banker's Discount

3 10955
Q:

Exercise is to Gym as Eating is to

A) Dieting B) Fitness
C) Restaurent D) Food
 
Answer & Explanation Answer: C) Restaurent

Explanation:

The given words are related in such a manner that, for exercise we go to gym. Simmilarly, for eating we go to restaurent.

 

Hence, Exercise : Gym :: Eating : Restaurent.

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Filed Under: Analogy
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration

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