Aptitude and Reasoning Questions

Q:

A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold ?

A) 360 lit B) 480 lit
C) 320 lit D) 420 lit
 
Answer & Explanation Answer: B) 480 lit

Explanation:

1/k - 1/20 = -1/24

k = 120

120 x 4 = 480

Therefore, the capacity of the cistern is 480 liters.

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Filed Under: Pipes and Cistern
Exam Prep: AIEEE , Bank Exams , CAT
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15 21993
Q:

Take the given statements to be true even if they seem to be at variance from commonly known facts.

Statements :

A : All mothers are aunts.
B : All aunts are ladies.

Conclusions:

1. All ladies are mothers.
2. All ladies are aunts.

 

A) Only conclusion 1 follows B) Only conclusion 2 follows
C) Both conclusion 1 and 2 follows D) Neither conclusion 1 nor 2 follows
 
Answer & Explanation Answer: D) Neither conclusion 1 nor 2 follows

Explanation:
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Filed Under: Statement and Conclusions
Exam Prep: Bank Exams

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Q:

A booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400  m3. The emptying capacity of the tank is 10 m3 per minute higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?

A) 50 m^3/min B) 60 m^3/min
C) 72 m^3/min D) None of these
 
Answer & Explanation Answer: A) 50 m^3/min

Explanation:

Let the filling capacity of the pump be x m3/min. 

Then, emptying capacity of the pump=(x+10)m3/min.  

so,2400x-2400x+10=8 x2+10x-3000=0 

 

x-50+x+60=0 x=50

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Filed Under: Pipes and Cistern
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38 21933
Q:

Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does the other turn in 8 seconds?

A) 48 B) 24
C) 38 D) 36
 
Answer & Explanation Answer: B) 24

Explanation:

Less Cogs  more turns and less time  less turns

 

    Cogs  Time  TurnsA  54       45       80B   32       8          ?

Number of turns required=80 × 54/32 × 8/45  = 24 times

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Filed Under: Problems on Trains

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Q:

Which of the following terms follows the trend of the given list?

AAAAAaA, AAAAaAA, AAAaAAA, AAaAAAA, AaAAAAA, _______________.

A) aAAAAAA B) AAAAAAa
C) AAAAAaA D) AAAAaAA
 
Answer & Explanation Answer: A) aAAAAAA

Explanation:
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Filed Under: Alphabet Test
Exam Prep: Bank Exams

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Q:

A number is increased by 20% and then decreased by 20%, the final value of the number is ?

A) increase by 2% B) decrease by 3%
C) decrease by 4% D) increase by 5%
 
Answer & Explanation Answer: C) decrease by 4%

Explanation:

Here, x = 20 and y = - 20
Therefore, the net % change in value
=x + y + xy100 %
20 + -20 + 20 × -20100%  or  - 4%

Since the sign is negative, there is a decrease in value by 4%.

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Filed Under: Percentage
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34 21918
Q:

If a number 6573547x45 is divisible by 9, then find the value of x.

 

A) 7 B) 0
C) 8 D) 6
 
Answer & Explanation Answer: C) 8

Explanation:
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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x'  ?

A) 4 B) 10
C) 8 D) 5
 
Answer & Explanation Answer: D) 5

Explanation:

If Vijay gives 'x' marbles to Ajay then Vijay and Ajay would have V - x and A + x marbles.
V - x = A + x --- (1)
If Ajay gives 2x marbles to Vijay then Ajay and Vijay would have A - 2x and V + 2x marbles.
V + 2x - (A - 2x) = 30 => V - A + 4x = 30 --- (2)
From (1) we have V - A = 2x
Substituting V - A = 2x in (2)
6x = 30 => x = 5.

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Filed Under: Arithmetical Reasoning
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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29 21915