Aptitude and Reasoning Questions

Q:

If sum of three consecutive numbers is 42 . What will the sum of the digits of middle number .

Answer

Let the numbers be x, x+1, x+2 


Then x + x+1 + x+2 = 42


           =>  3x + 3 = 42


           => 3x = 39 


          =>  x = 13


 


The numbers would be 13, 14, 15 


Therefore, Sum of the digits of middle number = 1+4 = 5

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Q:

A bag contains 3 black, 4 white and 5 red balls. One ball is drawn at random. Find the probability that it is either black or red ball:

A) 2/3 B) 1/4
C) 5/12 D) 1/2
 
Answer & Explanation Answer: A) 2/3

Explanation:

P(black ball)=3/12

P(red ball)=5/12

P(black or red)=3/12+5/12=2/3

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Filed Under: Probability

1 6805
Q:

A hater of knowledge and learning is

A) Philologist B) Misologist
C) Bibliophile D) Misogynist
 
Answer & Explanation Answer: B) Misologist

Explanation:

The one word substitution for a hater of knowledge and learning is Misologist.

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6 6803
Q:

 _ po _ mp _ n _ _ onmpo_.

A) opmpnm B) mponpo
C) mnompn D) mnopnm
 
Answer & Explanation Answer: C) mnompn

Explanation:

The pattern 'mpon' is repeated.

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Filed Under: Number Series
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13 6801
Q:

'K' cycled from A to B at 10 kmph and returned at the rate of 9 kmph. 'L' cycled both ways at 12 kmph. In the whole journey 'L' took 10 minutes less than 'K'. Find the distance between A and B ?

A) 32.1 km B) 15.23 km
C) 3.75 km D) 32.1 m
 
Answer & Explanation Answer: C) 3.75 km

Explanation:

Let 'd' be the distance between A and B
K -time = d/10 + d/9 = 19d/90 hours
L -time = 2d/12 = d/6 hours
We know that, 10 min = 1/6 hours
Thus, time difference between K and L is given as 10 minutes.
=> 19d/90 - d/6 = 1/6
=> (19d-15d)/90 = 1/6
=> 4d/90 = 1/6
Thus,
d= 15/4 km = 3.75 km.

hence the distance between A and B is 3.75 km.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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3 6798
Q:

In a throw of a coin, find the probability of getting a head.

A) 1 B) 1/2
C) 1/4 D) 0.1
 
Answer & Explanation Answer: B) 1/2

Explanation:

Here, s={H,T} and E={H}
P(E) = n(E)/n(S) = 1/2

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Filed Under: Probability

8 6798
Q:

Two trains 85 m and 75 m long are running in same direction with speeds of 62 km/hr and 44 km/hr respectively. In what time will the first train cross the second train ?

A) 22 sec B) 32 sec
C) 42 sec D) 52 sec
 
Answer & Explanation Answer: B) 32 sec

Explanation:

Given that,

1st train speed = 62 km/hr 

2nd train speed  = 44 km/hr

Hence the relative speed of two trains is : 62-44 = 18 km/hr = 18×518 m/s = 5 m/s.

There fore, the first train crosses the second train i.e (85+75)mts of distance with a speed of 5m/s in, 

 

timedistancespeed = 85+755 = 32 sec.

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Filed Under: Time and Distance
Exam Prep: CAT
Job Role: Bank Clerk

8 6792
Q:

Concept of Efficiency

A can do a job in 12 days and B can do the same job in 6 days, in how many days working together they can complete the job?

Answer

A's 1 days work = 1/12 


B's 1 days work =1/6


Therefore, (A+B)'s 1 day's work= 1/12 + 1/6 = 1/4       


Therefore, Time taken by both to finish the whole work = 114 = 4 days


 


Alternatively :


Efficiency of A =100/12 =8.33%


Efficiency of B =100/6=16.66%


Combined efficiency of A and B both = 8.33+16.66=25%


Therefore, Time taken by both to finish the work (working together) =100/25= 4days

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Subject: Time and Work

3 6791