GATE Questions

Q:

RADAR is used for

A) detecting and locating the position of objects such as Aeroplanes B) locating submerged submarines
C) locating geostationary satellites D) receiving a signals in a radio receiver
 
Answer & Explanation Answer: A) detecting and locating the position of objects such as Aeroplanes

Explanation:

RADAR - RAdio Detection And Ranging.

A radar system consists of a transmitter producing electromagnetic waves in the radio or microwaves domain, a transmitting antenna, a receiving antenna (often the same antenna is used for transmitting and receiving) and a receiver and processor to determine properties of the objects. 

 

Radar is an object-detection system that uses radio waves to determine the range, angle, or velocity of objects. It can be used to detect aircraft, ships, spacecraft, guided missiles, motor vehicles, weather formations, and terrain.

 

Radio waves from the transmitter reflect off the object and return to the receiver, giving information about the object's location and speed.

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Filed Under: Physics
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5 3732
Q:

Choose the synonym of 'Hypothesis' from the following options ?

A) Theory B) Fascination
C) Complexity D) Falling
 
Answer & Explanation Answer: A) Theory

Explanation:

'Hypothesis' is a word that gives a brief explanation of the concepts based on the limited evidence. The word 'theory' is closest in meaning to it.

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Filed Under: Analogy
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5 3731
Q:

On sport’s day, if 12 children were made to stand in each column, 98 columns could be formed. After a certain music being played the plan was that the children have to stand in concentric circles such that the innermost circle will have one student, the next circle will have two students, the third circle will have 3 students and so on. How many circles will be formed in this manner ?

A) 44 B) 46
C) 48 D) 49
 
Answer & Explanation Answer: C) 48

Explanation:

No. of students will be 98 x 12 = 1176
let us consider n circles then 1 + 2 + 3 + ....+ n = 1176
n(n+1)/2 = 1176
n = 48 circles.

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Filed Under: Arithmetical Reasoning
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3 3727
Q:

Find the compound interest on Rs. 2680 at 8% per annum for 2 years ?

A) Rs. 664.21 B) Rs. 548.68
C) Rs. 445.95 D) Rs. 692.57
 
Answer & Explanation Answer: C) Rs. 445.95

Explanation:

We know Compound Interest = C.I. = P1+r100t - 1

Here P = 2680, r = 8 and t = 2

C.I. = 26801 + 81002-1= 268027252-12= 26802725+12725-1= 2680 5225×225

= (2680 x 52 x 2)/625

= 445.95

 

Compound Interest = Rs. 445.95

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12 3727
Q:

If        9 = 63              8 = 48             7 = 35 

Then   4 = ?

A) 4 B) 8
C) 12 D) 16
 
Answer & Explanation Answer: B) 8

Explanation:

Here given that 9 = 63, 8 = 48, 7=35, ... 

 

The given question follows a pattern that

9 x (9 - 2) = 9 x 7 = 63

8 x (8 - 2) = 8 x 6 = 48

7 x (7 - 2) = 7 x 5 = 35

 

Similarly, 4 x (4 - 2) = 4 x 2 = 8.

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8 3721
Q:

A shopkeeper has a job to print certain number of documents and there are three machines P, Q and R for this job. P can complete the job in 3 days, Q can complete the job in 4 days and R can complete the job in 6 days. How many days the shopkeeper will it take to complete the job if all the machines are used simultaneously ?

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

Explanation:

Let the total number of documents to be printed be 12.

 The number of documents printed by P in 1 day = 4.

 The number of documents printed by Q in 1 day = 3.

 The number of documents printed by R in 1 day = 2.

 
Thus, the total number of documents that can be printed by all the machines working simultaneously in a single day = 9.

 

Therefore, the number of days taken to complete the whole work = 12/9 = 4/3 days.

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Filed Under: Time and Work
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4 3717
Q:

A is sister of B who is mother of C who is mother of D. E is the grand mother of D. Then how C is related to E ?

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

Explanation:

        GM    GM
A ---- B ---- E
         |
         |
         C
         |
         |
         D (Grand son or daughter)

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Filed Under: Blood Relations
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9 3714
Q:

Pointing to a lady , a man said," The son of her only brother is the brother of my wife."How is the lady related to the man ?

A) sister of father-in-law B) sister
C) mother D) mother-in-law
 
Answer & Explanation Answer: A) sister of father-in-law

Explanation:

Brother of person's wife → brother-in-law of the person. Hence, the son of lady's brother is brother-in-law of the person.

Therefore, the brother of the lady is the father-in-law of the person. Hence, the lady is the sister of the person's father-in-law.

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Filed Under: Blood Relations
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9 3709