CAT Questions

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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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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Q:

Find the one which does not belong to that group ?

A) Neice B) Daughter
C) Daughter-in-law D) Mother
 
Answer & Explanation Answer: C) Daughter-in-law

Explanation:

All are blood relation except Daughter-in-law.

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Q:

Solve the given math puzzle?

math_puzzle21543466621.jpg image

A) 11 B) 3
C) 10 D) 1
 
Answer & Explanation Answer: C) 10

Explanation:

From the given data,

1 + 9 + 8 = 1

ONE + NINE + EIGHT

Consider the first letters and join them viz O N E = 1

So, now consider 2 + 8 + 9 in similar way

TWO+EIGHT+NINE

First letters are T E N = 10

2 + 8 + 9 = 1⃣0⃣ 

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Q:

If two line pa + b = 2 and 3a + b = 4 are parallel to each other, then what is the value of p ?

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

Explanation:

Given two lines are parallel

pa+b=2

b=-pa+2..........(1)

3a+b=4

b=-3a+4 ...........(2)

m1 = -p

m2= -3

The condition for the two lines to be parallel is m1=m2

p = 3

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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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Q:

The number of sequences in which 4 players can sing a song, so that the youngest player may not be the last is ?

A) 2580 B) 3687
C) 4320 D) 5460
 
Answer & Explanation Answer: C) 4320

Explanation:

Let 'Y' be the youngest player.

The last song can be sung by any of the remaining 3 players. The first 3 players can sing the song in (3!) ways.

The required number of ways = 3(3!) = 4320.

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Q:

The Human Resource Development Ministry and the External Affairs Ministry launched an online verification portal ___________ to make the document verification process easier.

A) e-bharat B) e-sanad
C) e-foriegn D) e-verify
 
Answer & Explanation Answer: B) e-sanad

Explanation:

The Human Resource Development Ministry and the External Affairs Ministry launched an online verification portal to make the document verification process easier for students who planning to study abroad. The Central Board of Secondary Education’s (CBSE) academic repository of degrees and certificates “Parinam Manjusha” was also involved in the project of creating “eSanad”.

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