GATE Questions

Q:

What is the probability of an impossible event?

A) 0 B) -1
C) 0.1 D) 1
 
Answer & Explanation Answer: A) 0

Explanation:

The probability of an impossible event is 0.

The event is known ahead of time to be not possible, therefore by definition in mathematics, the probability is defined to be 0 which means it can never happen.

 

The probability of a certain event is 1.

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17 5749
Q:

How many laws of physics are there?

A) 5 B) 4
C) 3 D) 2
 
Answer & Explanation Answer: C) 3

Explanation:

Physics has 5 laws. But the 3 laws of Newton has been clubbed together under one Law. Therefore there are 3 Newtons laws of Physics. They are ::

 

1. Newtons Laws of Motion

    a. First Law of Motion

    b. Second Law of Motion

    C. Third Law of Motion

 

2. Newtons Law of Cooling

 

3. Newtons Law of Gravitation.

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Filed Under: Physics
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10 5748
Q:

The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is  ?

A) 3 years B) 4 years
C) 2.5 years D) 2 years
 
Answer & Explanation Answer: B) 4 years

Explanation:

P1+20100n > 2P 

 

 

 

Now, (6/5 x 6/5 x 6/5 x 6/5) > 2.

 

 

 

So, n = 4 years.

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Filed Under: Compound Interest
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11 5747
Q:

Three of the following four pairs of alphas and numerals have same relationship between their elements as in the case of the pair PROBLEM : 2948375 and hence form a group. Which one does not belong to the group?

A) BORE : 8497 B) MOEP : 5972
C) LBOR : 3849 D) OMEP : 4572
 
Answer & Explanation Answer: B) MOEP : 5972

Explanation:

Here simple coding language has been used. Each letter has been assigned a numeric code and the respective code of letters are in the same order as the letters. 

 

Letter      B  E  L  M  O  P  R

 

Code         8  7  3  5  4  2  9

 

 

 BORE -> 8497 -- correct

 MOEP -> 5472 But given 5972 --- Incorrect

 LBOR -> 3849  -- correct

OMEP -> 4572  -- correct

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Filed Under: Classification
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52 5744
Q:

Who is known as the father of Indian Economics?

A) Gopal Krishna Gokhale B) Bal Gangadhar Tilak
C) Adam Smith D) M G Ranade
 
Answer & Explanation Answer: C) Adam Smith

Explanation:

Mahadev Govind Ranade is known as the father of Indian Economics. M G Ranade advocated social reforms such as widow re-marriage, liberation of women & emancipation of the oppressed classes.

He was Known to be the mentor & political guru of Gopal Krishna Gokhale & Bal Gangadhar Tilak.

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Filed Under: Indian Economy
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10 5738
Q:

Which language has been declared as the second official language by the Telangana state government?

A) English B) Urdu
C) Tamil D) Hindi
 
Answer & Explanation Answer: B) Urdu

Explanation:

The Chief Minister of Telangana, K. Chandrashekar Rao, has declared Urdu as the state’s second official language. All competitive examinations will also be conducted in Urdu. As per reports, the state government will appoint Urdu officers in all the offices over the next 60 days to receive petitions from public and reply them in Urdu.

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Filed Under: Indian Geography
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25 5727
Q:

In a slip test, K got the 15th rank and he was 44th from the bottom of the list of passed students. 4 students did not take up the slip test and 3 students were failed. What is the total strenght of the class ?

A) 63 B) 62
C) 64 D) 65
 
Answer & Explanation Answer: D) 65

Explanation:

Total strength of the class is given by

15 + 44 + 4 + 3 - 1 = 65

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Filed Under: Simplification
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9 5719
Q:

Karthik could cover a distance of 200 km in 22 days while resting for 2 hrs. per day. In how many days (approx) he will cover a distance of 250 km while resting for 2 hrs. per day and moving with 2/3rd of the previous speed ?

A) 41.25 days B) 37.5 days
C) 39.75 days D) 40 days
 
Answer & Explanation Answer: A) 41.25 days

Explanation:

Given Karthik can cover the distance of 200 kms resting 2 hrs per day in 22 days.

 

Let the initial speed be '1'

 

Hence, Time = 22(24hrs - 2)

 

Noe new speed = 2/3

 

Let the number of days he take be 'D'

 

Therefore, 2224-2x3200=D24-2x2250

 

D = 11 x 3 x 5/4 = 41.25 days. = 41 1/4 days.

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Filed Under: Time and Distance
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9 5715