Aptitude and Reasoning Questions

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 8891
Q:

Although most of the fastest growing jobs in today's economy will require a college degree, many of the new jobs being created-from home health aide to desktop publisher-require knowledge other than that gained from earning a degree. For workers in those jobs, good basic skills in reading, communigreion, and mathematics play an important role in getting a job and developing a career. 

 

From the information given above it can be validly concluded that, in today's economy,

A) skills in reading, communigreion, and mathematics play an important role in developing a career as a desktop publisher B) the majority of the new jobs being created require knowledge other than that gained from earning a college degree
C) Both A and B D) None
 
Answer & Explanation Answer: A) skills in reading, communigreion, and mathematics play an important role in developing a career as a desktop publisher

Explanation:

According to the above passage only the argument "the majority of the new jobs being created require knowledge other than that gained from earning a college degree" is true

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Filed Under: Deriving Conclusions From Passages
Exam Prep: GRE

13 8889
Q:

Identify the diagram that best represents the relationship among the given classes.

Plants, Humans, Respiration

 

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

Explanation:
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Filed Under: Logical Venn Diagram
Exam Prep: Bank Exams

0 8887
Q:

Increasing levels of air pollution is creating health hazards for people living in the cities.

 

Courses of action:

I. All Industries should be shifted to the outskirts of the cities

II. Transport authorities should take steps for converting all public transport vehicles to run on CNG

A) If only course of action I follows B) If only course of action II follows
C) If either course of action I or II follows D) If both courses of action I and II follow
 
Answer & Explanation Answer: D) If both courses of action I and II follow

Explanation:
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0 8875
Q:

The given graph shows the distribution of minerals in the human body?

 

 

Based on the given data, what is the ratio of the metal with the second highest percentage of distribution to that with the second lowest percentage of distribution in the human body?

 

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

Explanation:
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Filed Under: Pie Charts
Exam Prep: Bank Exams

0 8872
Q:

3131×31-27 =?

A) 961 x 861 B) 961 x 961
C) 961 x 2 D) 29791
 
Answer & Explanation Answer: B) 961 x 961

Explanation:

We know that am×an=am+n 

3131-27 = 314 = 961 x 961.

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank PO

11 8870
Q:

A man is riding a bike with front and back wheel circumference of 40 inches and 70 inches respectively. If the man rides the bike on a straight road without slippage, how many inches will the man have travelled when the front wheel has made 15 revolutions more than the back wheel?

A) 1100 B) 1300
C) 1400 D) 1200
 
Answer & Explanation Answer: C) 1400

Explanation:

Given the ratio of the circumference of front wheel  is 40 inches and back wheel is 70 inches. 

 

Distance covered = Circumference of the wheel × No. of Revolutions made by the wheel

 

If n is the number of revolutions made by back wheel, the number of revolutions made by front wheel is n+15

 

Distance covered by both the wheels is the same

 

i.e, 40*(n+15)=70n

 

 n=20 

 

 

 

                Front wheel      :      Back Wheel 

 

 Circumference       40      :      70 

 

 Revolutions           35      :      20

 

 

 

Distance covered  :  40×35 = 70×20 = 1400 inches.

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

17 8869
Q:

If  x = 1 - q and y = 2q + 1, then for what value of q, x is equal to y ?

A) 0 B) 1
C) -1 D) -2
 
Answer & Explanation Answer: A) 0

Explanation:

x = y  <=> 1 - q =  2q  + 1  <=> 3q  = 0 <=> q = 0.

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Filed Under: Simplification

8 8869