Aptitude and Reasoning Questions

Q:

A bag contains 12 white and 18 black balls. Two balls are drawn in succession without replacement. What is the probability that first is white and second is black?

A) 6/145 B) 36/145
C) 18/95 D) 12/145
 
Answer & Explanation Answer: B) 36/145

Explanation:
 

The probability that first ball is white:
=C112C130=1230=25


Since, the ball is not replaced; hence the number of balls left in bag is 29.
Hence the probability the second ball is black:
=C118C129=1829


Required probability =(25)×(1829)


=36/145

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10 9234
Q:

Pointing to a man, a woman said, "His mother is the only daughter of my mother." How is the woman related to the man ?

A) Mother B) Daughter
C) Sister D) Grandmother
 
Answer & Explanation Answer: A) Mother

Explanation:

OnIy daughter of my mother — Myself.

So, the woman is man's mother.

 

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Filed Under: Blood Relations

7 9230
Q:

Shyam Walked 6 metres facing towards East, then took a right turn and walked a distance of 9 metres.He then took a left turn and walked a distance of a metres. How far is he from the starting point?

A) 15 metres B) 21 metres
C) 18 metres D) Cannot be determined
 
Answer & Explanation Answer: A) 15 metres

Explanation:

 983115133311311553600957.png image

As clear from the diagram, AD2=122+92=152

 So, AD = 15

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Filed Under: Verbal Reasoning - Mental Ability
Exam Prep: Bank Exams
Job Role: Bank PO

18 9225
Q:

Two persons start running simultaneously around a circular track of length 600 m from the same point at speeds of 25 kmph and 35 kmph. When will they meet for the first time any where on the track  ?

A) 54 sec B) 36 sec
C) 72 sec D) 11 sec
 
Answer & Explanation Answer: B) 36 sec

Explanation:

Time taken to meet the first time = length of track/relative speed

 

Given the length of the track is 600 m

 

The relative speed = 25 + 35 = 60 kmph = 60 x 5/18 m

 

Therefore Time = 60025+35518= 600/60 x (18/5) = 36 sec.

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

8 9220
Q:

The car dealer found that there was a tremendous response for the new XYZ's car-booking with long queues of people complaining about the duration of business hours and arrangements.

 

Courses of Action: 

 I. People should make their arrangement of lunch and snacks while going for car XYZ's booking and be ready to spend several hours.

II. Arrangement should be made for more booking desks and increased business hours to serve more people in less time.

A) Only I follows B) Only II follows
C) Neither I nor II follows D) Both I and II follow
 
Answer & Explanation Answer: B) Only II follows

Explanation:

Seeing the tremendous response, the dealer must make suitable arrangements and deploy more personnel to take care of customers so that they don't have to wait excessively long for booking. So, only course II follows.

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11 9214
Q:

A rectangular block has the dimensions 5x6x7 cm it is dropped into a cylindrical vessel of radius 6cm and height 10 cm. If the level of the fluid in the cylinder rises by 4 cm, What portion of the block is immersed in the fluid ?

A) 22/7 x 24/35 B) 22/7 x 36 x 4
C) 22/7 x 36/5 D) 22/7 x 37/21
 
Answer & Explanation Answer: A) 22/7 x 24/35

Explanation:

Since level of water increased in cylinder by height 4. 

This is because of the rectangular block .

 

Therefore , area of rectangular block immersed in water is 

= 227×6×6×4  

Thats why portion of block immersed in water is 

= (22/7 * 36 * 4) / total vol. of rectangle 

= (22/7 * 36 * 4)/ (7*5*6) 

= (22/7 * 24)/ 35.

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Filed Under: Volume and Surface Area
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

7 9204
Q:

The number 0.127 is how much greater than 1/8 ?

A) 1/100 B) 1/1500
C) 1/2 D) 1/500
 
Answer & Explanation Answer: D) 1/500

Explanation:

0.127 expressed as a fraction = 127/1000

1/8 can also be expressed as (1 x 125) / (8 x 125) = 125/1000

The difference is 2/1000, which is 1/500

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Filed Under: Decimal Fractions
Exam Prep: GRE

8 9203
Q:

Select a suitable figure from the four alternatives that would complete the figure matrix.

     1366338589-11484717605.jpg image

 1366338589-121484717623.jpg image

    (1)   (2)   (3)   (4)

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

Explanation:

One line is increasing in each subsequent figue.

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Filed Under: Figure Matrix
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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