AIEEE Questions

Q:

A train covered k km at 40 kmph and another 2k km at 20 kmph. Find the average speed of the train in covering the entire 3k km ?

A) 28 kmph B) 24 kmph
C) 26 kmph D) 32 kmph
 
Answer & Explanation Answer: B) 24 kmph

Explanation:

Total time taken = k/40 + 2k/20 hours

= 5k/40 = k/8 hours

Average speed = 3k/(k/8) = 24 kmph.

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Filed Under: Problems on Trains
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Q:

Compound interest on a certain sum of money at 20% per annum for 2 years is Rs.5995. What is the SI on the same money at 8% per annum for 6 years ?

A) Rs. 5989 B) Rs. 6540
C) Rs. 7844 D) Rs. 6789
 
Answer & Explanation Answer: B) Rs. 6540

Explanation:

Given C.I = 5984, R = 20% , T = 2yrs

 C.I = P1+201002-1

 

5984 = 

 

=> P = (5995x25)/11

 

P = Rs. 13625

 

Now S.I = PTR/100

 

SI = (13625 x 8 x 6)/100 = Rs. 6540

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Filed Under: Compound Interest
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Q:

Which element has similar properties to Beryllium?

A) Manganese B) Calcium
C) Both A & B D) Helium
 
Answer & Explanation Answer: B) Calcium

Explanation:

The elements in the same column will have similar properties. Beryllium is the group II element. Group II elements are magnesium, calcium, strontium, barium and radium. Hence, these show the similar prperties.

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Filed Under: Chemistry
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Q:

Loiter : Dwandle :: Impugn : ?

A) Revenge B) Confiscate
C) Gamble D) Challenge
 
Answer & Explanation Answer: D) Challenge

Explanation:

The words in each pair are synonyms of each other.

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Filed Under: Analogy
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15 7742
Q:

A train 900 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is ?

A) 400 m B) 300 m
C) 500 m D) 600 m
 
Answer & Explanation Answer: A) 400 m

Explanation:

Speed = 78 x 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (900 + x)/60 = 65/3
x = 400 m.

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Filed Under: Problems on Trains
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7 7740
Q:

P, Q and R start simultaneously from A to B. P reaches B, turns back and meet Q at a distance of 11 km from B. Q reached B, turns back and meet R at a distance of 9 km from B. If the ratio of the speeds of P and R is 3:2, what is the distance between A and B ?

A) 99 B) 100
C) 89 D) 1
 
Answer & Explanation Answer: A) 99

Explanation:

Let, Distance between A and B = d

 

Distance travelled by P while it meets Q = d + 11

 

Distance travelled by Q while it meets P = d – 11

 

Distance travelled by Q while it meets R = d + 9

 

Distance travelled by R while it meets Q = d – 9

 

Here the ratio of speeds of P & Q => SP : SQ = d + 11 : d – 11

 

The ratio of speeds of Q & R => SQ : SR = d + 9 : d – 9

 

But given Ratio of speeds of P & R => P : R = 3 : 2

 SPSR = SPSQxSQSR = d+11d+9d-11d-9

 

=> d+11d+9d-11d-9 = 3/2

 

=>  d = 1, 99

 

=> d = 99 satisfies.

 

Therefore, Distance between A and B = 99

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Filed Under: Time and Distance
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16 7738
Q:

First education minister of independent India?

A) Indira Gandhi B) Durba Banerjee
C) Maulana Abul Kalam Azad D) Sucheta Kripalani
 
Answer & Explanation Answer: C) Maulana Abul Kalam Azad

Explanation:

Maulana Abul Kalam Azad, the first education minister of independent India, who served from 15 August 1947 until 2 February 1958.

mulana_abdul_kalam1523450512.jpg image  

 

Indira Gandhi - First Women Prime minister of India

 

Durba Banerjee - The first woman Airline Pilot

 

Sucheta Kripalani - The first woman Chief Minister of an Indian State.

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Filed Under: Indian History
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9 7737
Q:

In order to maximize his gain, a shopping mall owner decides to reduce the price of electronics goods by 20% and as a result of this, the sales of electronics increase by 40%. If, as a result of these changes, he is able to increase his weekly collection by Rs. 1,05,000, find by what value did the gross collection increase per day?

A) Rs. 14400 B) Rs. 14600
C) Rs. 14800 D) Rs. 15000
 
Answer & Explanation Answer: D) Rs. 15000

Explanation:

It won't requires that much solving.

Here given the increase in weekly collection by Rs. 1,05,000

That is this increase denotes for all 7 days.

=> Gross Collection increase per day = Rs. 1,05,0007 = Rs. 15,000

Hence, the gross collection increase per day = Rs. 15,000.

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Filed Under: Percentage
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