GATE Questions

Q:

The absorption of ink by blotting paper involves

A) viscosity of ink B) diffusion of ink through the blotting
C) capillary action phenomenon D) siphon action
 
Answer & Explanation Answer: C) capillary action phenomenon

Explanation:

The absorption of ink by blotting paper involves capillary action phenomenon because the blotting paper is a thin and a smooth paper which allows a little thicker liquids like ink to absorb.

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11 10076
Q:

An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq. m ?

A) Rs. 4082.40 B) Rs. 1024.21
C) Rs. 2810.6 D) Rs. 3214
 
Answer & Explanation Answer: A) Rs. 4082.40

Explanation:

Length of the first carpet = (1.44)(6) = 8.64 cm

Area of the second carpet = 8.64(1 + 40/100) 6 (1 + 25/100)

= 51.84(1.4)(5/4) sq m = (12.96)(7) sq m

Cost of the second carpet = (45)(12.96 x 7) = 315 (13 - 0.04) = 4095 - 12.6 = Rs. 4082.40

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11 10073
Q:

John sells his laptop to Mark at a loss of 20% who subsequently sells it to Kevin at a profit of 25%. Kevin after finding some defect in the laptop, returns it to Mark but could recover only Rs.4.50 for every Rs. 5 he had paid. Find the amount of Kevin’s loss if John had paid Rs. 1,75,000 for the laptop ?

A) Rs.16,500 B) Rs.17,500
C) Rs.14,200 D) Rs.15,520
 
Answer & Explanation Answer: B) Rs.17,500

Explanation:

Let’s assume John bought the laptop for Rs. 100
He then sells it to Mark at a loss of 20% => Rs. 80,
Who consequently sells it to Kevin at a profit of 25% =>  Rs. 100
Then, Kevin sells it back to Mark for Rs. 90 (Rs.4.50 for every Rs. 5 that he had paid initially), so he suffers a loss of Rs. 10
Therefore, for Rs. 100 there is a loss of Rs. 10,
Then for Rs. 1,75,000 there will be a loss of Rs. 17,500.

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15 10061
Q:

A university library budget committee must reduce exactly five of eight areas of expenditure—I, J, K, L, M, N, O and P—in accordance with the following conditions:

If both I and O are reduced, P is also reduced.
If L is reduced, neither N nor O is reduced.
If M is reduced, J is not reduced.
Of the three areas J, K, and N exactly two are reduced.

 

Question :

If both K and N are reduced, which one of the following is a pair of areas neither of which could be reduced?

A) I, L B) J, L
C) J, M D) I, J
 
Answer & Explanation Answer: B) J, L

Explanation:

This question concerns a committee’s decision about which five of eight areas of expenditure to reduce. The question requires you to suppose that K and N are among the areas that are to be reduced, and then to determine which pair of areas could not also be among the five areas that are reduced.

The fourth condition given in the passage on which this question is based requires that exactly two of K, N, and J are reduced. Since the question asks us to suppose that both K and N are reduced, we know that J must not be reduced:

Reduced         ::      K, N
Not reduced   ::      J

The second condition requires that if L is reduced, neither N nor O is reduced. So L and N cannot both be reduced. Here, since N is reduced, we know that L cannot be. Thus, adding this to what we’ve determined so far, we know that J and L are a pair of areas that cannot both be reduced if both K and N are reduced:

Reduced        ::      K, N
Not reduced  ::      J, L

Answer choice (B) is therefore the correct answer.

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14 10059
Q:

5% of a number is 25% more than another number. The difference between the numbers is 96. Then find the value of the numbers?

A) 102 & 6 B) 99 & 3
C) 104 & 8 D) 100 & 4
 
Answer & Explanation Answer: D) 100 & 4

Explanation:

Let the first number be x and the second number be y.

Given

5% of x = (25% of y) + y

=> 5x/100 = 5y/4

=> x = 25y ......(1)

and also given that, x - y = 96

=> x = 96 + y .....(2)

From (1)&(2)

25y = 96 + y

=> 24y = 96

=> y = 4

From (1)

x = 96 + 4 = 100

Hence, the numbers are 100 & 4.

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15 10054
Q:

The modulus of elasticity for mild steel is approximately equal to

A) 210 kN/mm2 B) 100 kN/mm2
C) 80 kN/mm2 D) 10 kN/mm2
 
Answer & Explanation Answer: A) 210 kN/mm2

Explanation:

It is useful to have a property of a material that is independent of the size of the sample and can be use to compare its elastic properties with another - this is called the Modulus of Elasticity for the material.

The modulus of elasticity is defined as:

 

Modulus of elasticity = Stress / Strain

 

There are three types of moduli. They are :

(a) the Young Modulus - tensile and compression longitudinal stress

(b) the shear modulus - a shearing stress

(c) the bulk modulus - volume changes of the specimen.

 

mod-compressor1528180544.jpg image

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Filed Under: Physics
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2 10032
Q:

Missing Letter Challenge

letter_comes1498888967.jpg image

A) I B) M
C) P D) L
 
Answer & Explanation Answer: D) L

Explanation:

Here the letters follow the rule (AxZ)+(A+Z)

The number corresponding to the letters are used in the rule

A=1, Z=26 => 26x1 + 1 + 26 = 26+27 = 53 =  053

(LxP)+(L+P) = (12 x16) + 12 + 16 = 192+28 = 220

Similarly (11x12) + 11 + 12 => 132 + 23 = 155 

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45 10009
Q:

In how many ways can 100 soldiers be divided into 4 squads of 10, 20, 30, 40 respectively?

A) 1700 B) 18!
C) 190 D) None of these
 
Answer & Explanation Answer: D) None of these

Explanation:

100C10 + 90C20 + 70C30 + 40C40 = 100!10!x20!x30!x40!

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Filed Under: Permutations and Combinations
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4 10009