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Q:

In what time would a cistern be filled by three pipes which diameters are 2 cm, 3 cm and 4 cm running together, when the largest alone can fill it is 58 minutes? The amount of water flowing in each pipe is proportional to the square of its diameter.

A) 26 min B) 32 min
C) 36 min D) 42 min
 
Answer & Explanation Answer: B) 32 min

Explanation:

Given that the diameters of the three pipes are 2 cm, 3 cm and 4 cm

From the given data,

Amount of water from three pipes is 4 units, 9 units and 16 units.

Let the capacity of cistern be 'p' units.

∴ p/58 = 16

⇒ p = 928 units.

 

In 1 minute, quantity to be filled by 3 pipes = 29 units

∴ Total time required = 928/29 = 32 minutes.

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Filed Under: Pipes and Cistern
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Q:

A person purchase 50 mangoes he sells 10 at 20% profit, 20 at 30% profit and rest got rotten. Find its total loss or profit%?

A) 28% B) 26%
C) 24% D) 22%
 
Answer & Explanation Answer: C) 24%

Explanation:

Let the cost price of each mango be Rs. 1

So 50 mangoes costs = Rs. 50

20% Profit on Selling Price of 10 mangoes = Rs. 12 

30% Profit on Selling Price of 20 mangoes = Rs. 26

Total = Rs. 38

Loss = 50 - 38 = 12

 

Loss% = (12/50) x 100 = 24%.

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Filed Under: Percentage
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Q:

Which state police has launched e-learning portal 'Nipun' for training its personnel?

A) Delhi B) Uttar Pradesh
C) Telangana D) Maharashtra
 
Answer & Explanation Answer: A) Delhi

Explanation:

Delhi state police has launched e-learning portal 'Nipun' for training all its police officers to give up to date information through specialized courses designed by experts.

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Filed Under: General Awareness
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Q:

In which of the following state its first mega food park was inaugurated?

A) Karnataka B) Telangana
C) Gujarat D) Punjab
 
Answer & Explanation Answer: C) Gujarat

Explanation:
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Q:

During the meeting of the Board of Directors of IDFC Bank, IDFC Bank proposed to change its name to

A) Capital IDFC Bank Ltd B) IDFC Chit Fund Bank
C) First IDFC Bank D) IDFC First Bank Ltd
 
Answer & Explanation Answer: D) IDFC First Bank Ltd

Explanation:
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Filed Under: General Awareness
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Q:

A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 110 feet per second. After how many seconds does the ball attain its maximum height?

A) 2.87 sec B) 3.44 sec
C) 4.65 sec D) 5.41 sec
 
Answer & Explanation Answer: B) 3.44 sec

Explanation:

It is launched vertically with an initial speed of 110 ft/sec.

It will reach maximum height when the speed drops to 0.

Vo=110 feet per second 

ho=2 feet 

So, h(t) = -16t^2 +110t +2 

Take the derivative: h'(t) = 110 -32t 

The maximum height will be at the inflection when the derivative crosses the x-axis, then h'(t)=0. 

So, set h'(t)=0 and solve for t: 

0 = 110 -32t 

-110 = -32t 

t=3.4375 

t=3.44 seconds.

 

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Filed Under: Physics
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Q:

DNA is a long chain made of repeating units called aminoacids.

A) TRUE B) FALSE
Answer & Explanation Answer: B) FALSE

Explanation:

The repeating units that are used to form the helical DNA structure are called nucleotides.

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Subject: General Science
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Q:

Which area best lends itself to the formation of fossils?

which_area_best_lends_itself_to_the_formation_of_fossils1538734185.jpg image

A) near active volcano B) lake beds
C) Both A & B D) None of the above
 
Answer & Explanation Answer: C) Both A & B

Explanation:

Area near active volcano or lake beds are best areas that lends itself to the formation of fossils.

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Filed Under: General Science
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