Aptitude and Reasoning Questions

Q:

The capacity of a tank is 2400 m3.  A pump can be used both for filling and emptying the tank.  The emptying capacity of the pump is 10 m3/minute higher than its filling capacity. And also, the pump needs 8 minutes less to empty the tank than to fill it. Find the filling capacity of the pump. 

A) 46 cub.m/min B) 44 cub.m/min
C) 48 cub.m/min D) 50 cub.m/min
 
Answer & Explanation Answer: D) 50 cub.m/min

Explanation:

Let filling capacity of the pump be 'F' m3/min

Then, the filling capacity of the pump will be (F + 10) m3/min

From the given data,

2400F - 2400F+10= 8 2400 F+10-FF(F+10) =8 F2 + 10F - 3000 = 0 F = 50 m3/min

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15 5939
Q:

A line is an undefined term because it

Answer

A line is an undefined term because of it :


 


1. Contains an infinite number of points


2. can be used to create other geometric shapes


3. is a term that does not have a formal definition


 


In Geometry, unless it's stated, a line will extend in one dimension and goes on forever in both ways.

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17 5937
Q:

A room contains 3 brown, 5 black and 4 white chairs. Two chairs are picked and are put in the lawn. What is the probability that none of the chairs picked is white ?

A) 14/33 B) 14/55
C) 12/55 D) 13/33
 
Answer & Explanation Answer: A) 14/33

Explanation:

Total number of chairs = (3 + 5 + 4) = 12.

Let S be the sample space.

Then, n(s)= Number of ways of picking 2 chairs out of 12

12×11/2×66

Let n(E) = number of events of selecting 2 chairs for selecting no white chairs.

=> 8C8×7/2×28

Therefore required probability = 28/66 = 14/33.

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Filed Under: Probability
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15 5936
Q:

Three of the following four are alike in a certain way and hence form a group. Which is the one that does not belong to that group?

A) 42 B) 72
C) 110 D) 152
 
Answer & Explanation Answer: D) 152

Explanation:

42 = 72 - 7

 92 - 9 = 72

 112 - 11 = 110

 122 + 8 = 152

Except 152, others show the same trend.

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Filed Under: Classification
Exam Prep: AIEEE , Bank Exams , CAT
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20 5936
Q:

You deposit $600 into a 6 month certificate of deposit. After 6 months the balance is $618. Find the simple annual interest rate

A) 6% B) 5%
C) 7% D) 8%
 
Answer & Explanation Answer: A) 6%

Explanation:

1. To find the interest, subtract the principal from the balance.

       $618 - $600 = $18

2.Use the simple interest formula and solve for r.

       I = Prt

      18= 600 x r x (1/2)

       r= 0.06 =6%

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Filed Under: Simple Interest
Exam Prep: GRE
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1 5934
Q:

If wall is called window, window is called door, door is called floor, floor is called roof and roof is called ventilator, What will a person stand on ?

A) Window B) Wall
C) Floor D) Roof
 
Answer & Explanation Answer: D) Roof

Explanation:

A person will stand on the floor and floor is called roof. So, a person will stand on the roof

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Filed Under: Coding and Decoding

26 5931
Q:

Inflection best relates to

A) Tone B) Volume
C) Pace D) Vocabulary
 
Answer & Explanation Answer: A) Tone

Explanation:

Inflection most often refers to the pitch and tone patterns in a person's speech that is where the voice rises and falls.

 

Hence, Inflection best relates to Tone.

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Filed Under: Analogy
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4 5930
Q:

In How many ways can the letters of the word 'CAPITAL' be arranged in such a way that all the vowels always come together?

A) 360 B) 720
C) 120 D) 840
 
Answer & Explanation Answer: A) 360

Explanation:

CAPITAL = 7

 

Vowels = 3 (A, I, A)

 

Consonants = (C, P, T, L)

 

5 letters which can be arranged in  5P5=5!

 

Vowels A,I = 3!2!

 

No.of arrangements = 5! x 3!2!=360

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Filed Under: Permutations and Combinations
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