AIEEE Questions

Q:

In how many ways can letter of the word RAILINGS arrange so that R and S always come together?

A) 1260 B) 2520
C) 5040 D) 1080
 
Answer & Explanation Answer: C) 5040

Explanation:

The number of ways in which the letters of the word RAILINGS can be arranged such that R & S always come together is

 

Count R & S as only 1 space or letter so that RS or SR can be arranged => 7! x 2!

 

But in the word RAILINGS, I repeated for 2 times => 7! x 2!/2! = 7! ways = 5040 ways.

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Filed Under: Permutations and Combinations
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Q:

Q = mcdT refers to

A) Enthalpy formula B) Heat Transfer formula
C) Specific Heat formula D) Heat of Vaporization
 
Answer & Explanation Answer: C) Specific Heat formula

Explanation:

Q = mc∆T refers to Specific Heat formula.

 

When heat energy is added to a substance, the temperature will change by a certain amount.

The relationship between heat energy and temperature is different for every material, and the specific heat is a value that describes how they relate.

 

Q = mc∆T

 

Q = heat energy (Joules, J)

m = mass of a substance (kg)

c = specific heat (units J/kg∙K)

∆T = change in temperature (Kelvins, K)

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Filed Under: Physics
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Q:

The energy associated with motion is called

A) Potential energy B) Kinetic energy
C) Both A & B D) None of the above
 
Answer & Explanation Answer: B) Kinetic energy

Explanation:

Energy can be either a potential energy or a kinetic energy.

The energy associated with motion is called Kinetic energy and it can be stored. And the energy associated with position is called Potential energyand it cannot be stored.

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Filed Under: Physics
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Q:

Mr. Shankar spends 25% of his monthly salary on household expenditure, 20% of the remaining on children’s education, and the remaining is equally invested in three different schemes. If the amount invested in each scheme is Rs.5600, what is the monthly salary of Shankar ?

A) Rs. 34000 B) Rs. 31245
C) Rs. 24315 D) Rs. 28000
 
Answer & Explanation Answer: D) Rs. 28000

Explanation:

Let the monthly salary of Shankar be = Rs.x
Amount invested on expenditure = 25% = x/4;
Remaning amount = 3x/4;
Amount invested on children education = 20% i.e = 3x/20;
Remaining amount = 3x/4 - 3x/20 = 3x/5;
Remaining amount invested in three different schemes i.e is 1/3(3x/5)
=> x/5 = 5600
Therefore x = 28000
Hence, Monthly salary of Shankar is Rs. 28,000.

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Filed Under: Stocks and Shares
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Q:

Sravan drove from home to a neighboring town at the speed of 50 km/h and on his returning journey, he drove at the speed of 45 km/h and also took an hour longer to reach home. What distance did he cover?

A) 350 kms B) 450 kms
C) 900 kms D) 700 kms
 
Answer & Explanation Answer: C) 900 kms

Explanation:

Let the distance he covered each way = d kms

According to the question,

d/45 - d/50 = 1

=> d = 450 kms.

 

Hence, the total distance he covered in his way = d + d = 2 d = 2 x 450 = 900 kms.

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Q:

The ability to do work is called Energy.

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

Explanation:

Yes, the ability to do work is called Energy is True.

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Subject: Physics
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Q:

When is International Day of Families observed  ?

A) May 13 B) May 15
C) May 16 D) May 14
 
Answer & Explanation Answer: B) May 15

Explanation:

15 May. Theme of International Day of Family 2017 is “Families, education and well-being”.

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Filed Under: Important Days and Years
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Q:

On dividing a number by 96, we get 271 as quotient and 0 as remainder. On dividing the same number by 95, what will be the remainder ?

A) 87 B) 59
C) 92 D) 81
 
Answer & Explanation Answer: D) 81

Explanation:

Number = 271 x 96 + 0 = 26016

=> 95) 26016 (273
           25935
           --------
              81

Required number = 81.

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Filed Under: Problems on Numbers
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