GATE Questions

Q:

P is faster than Q. P and Q each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, P's speed is equal to ?

A) 3 km/hr B) 4 km/hr
C) 5 km/hr D) 6 km/hr
 
Answer & Explanation Answer: B) 4 km/hr

Explanation:

Let P's speed = x km/hr. Then, Q's speed = (7 - x) km/ hr.

 

So, 24/x + 24/(7 - x) = 14

 

x2 - 98x + 168 = 0

 

(x - 3)(x - 4) = 0 => x = 3 or 4.

 

Since, P is faster than Q,

 

so P's speed = 4 km/hr and Q's speed = 3 km/hr.

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Filed Under: Time and Distance
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16 14972
Q:

A scientist who studies water is called a

A) Geographer B) Herpetologist
C) Archeologist D) Hydrologist
 
Answer & Explanation Answer: D) Hydrologist

Explanation:

A person or scientist who studies on water is called as Hydrologist. Since the study of water and its properties is known as Hydrology, the persons who deals with this field are known as Hydrologists.

 

Geographer :

A scientist who studies Earth's natural environment and how human society uses the natural environment.

 

Herpetologist :

A person who studies reptiles and amphibians.

 

Archeologist :


Someone who studies people and what they did in the past from the things they left behind.

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Filed Under: General Awareness
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17 14925
Q:

8 couples (husband and wife) attend a dance show "Nach Baliye' in a popular TV channel ; A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is atleast one couple will be selected is :

A) 8/39 B) 15/39
C) 12/13 D) None of these
 
Answer & Explanation Answer: B) 15/39

Explanation:

P( selecting atleast one couple) = 1 - P(selecting none of the couples for the prize) 

 

 = 1-16C1× 14C1×12C1×10C116C4=1539

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Filed Under: Probability
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64 14845
Q:

A periscope works by the principle of

A) Total internal reflection B) Refraction
C) Diffraction D) Reflection & Refraction
 
Answer & Explanation Answer: A) Total internal reflection

Explanation:

A periscope is an optical instrument that uses a system of prisms, lenses, or mirrors to reflect images through a tube.

 

 per11526634345.jpg image

 

Light from a distant object strikes the top mirror and is then reflected at an angle of 90 degrees down the periscope tube. At the bottom of the periscope, the light strikes another mirror and is then reflected into the viewer’s eye.

 

Hence, A periscope works by the principle of Total internal reflection.

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Filed Under: Physics
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38 14802
Q:

Square units 13 by 9 of an office area is

A) 97 B) 117
C) 107 D) 127
 
Answer & Explanation Answer: B) 117

Explanation:

Square units 13 by 9 of an office means office of length 13 units and breadth 9 units.

 

Now its area is 13x 9 = 117 square units or units square.

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Filed Under: Area
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24 14759
Q:

The perimeter of a square is equal to twice the perimeter of a rectangle of length 8cm and breadth 7cm. What is the circumference of a semicircle whose diameter is equal to the side of the square ?

A) 55.12 cm B) 22.54 cm
C) 42.51 cm D) 38.57 cm
 
Answer & Explanation Answer: D) 38.57 cm

Explanation:

We know that perimeter of rectangle = 2(l+b) = 2(8+7)= 30cm
Given perimeter of square is twice the perimeter of rectangle = 2(30) = 60cm
Therefore, side of the square is = 1/4 x 60 = 15cm
Circumference of the required semicircle = πr + 2r = 227× 152 + 2×152 = 23.57 + 15 = 38.57cm.

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Filed Under: Area
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6 14754
Q:

217 x 217 + 183 x 183 = ?

A) 84521 B) 87487
C) 80578 D) 78458
 
Answer & Explanation Answer: C) 80578

Explanation:

2172+1832

 

= 200+172+200-172

 

It is in the form of a+b2+a-b2=2a2+b2

 

= 2(40000 + 289) = 80578.

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Filed Under: Simplification
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20 14619
Q:

If yesterday were tomorrow, then today would be Friday. What day is today?

A) Saturday B) Monday
C) Sunday D) Tuesday
 
Answer & Explanation Answer: C) Sunday

Explanation:

If yesterday were tomorrow, today is Friday => tomorrow of friday is Saturday.

 

Hence, it implies that today is Sunday if tomorrow is Saturday.

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Filed Under: Calendar
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86 14569