GATE Questions

Q:

Sambhu buys rice at Rs. 10/kg and puts a price tag on it so as to earn a profit of 20%. However, his faulty balance shows 1000 gm when it is actually 800 gm. What is his actual gain percentage ?

A) 50% B) 25%
C) 75% D) 60%
 
Answer & Explanation Answer: A) 50%

Explanation:

CP of 1000gm = Rs. 10
SP of 800gm = Rs. 12
SP of 1000gm =12x1000/800 = Rs. 15

Now take 1000gm as reference to calculate profit.
Profit=SP-CP=15-10=Rs. 5
Profit % = 5x100/10 = 50%

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Filed Under: Profit and Loss
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Q:

What should come next in the following letter series based on English alphabet ?
CEA JLH QSO ?

A) WYU B) UXW
C) WXV D) XZV
 
Answer & Explanation Answer: D) XZV

Explanation:

In the given series, each letter moves seven letters forward to obtain the next.
So, XZV replaces ? in the series.

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Filed Under: Alphabet Test
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Q:

What is the equivalent compound ratio of 5:6::7:10::6:5  ?

A) 7 : 9 B) 9 : 7
C) 7 : 4 D) 7 : 10
 
Answer & Explanation Answer: D) 7 : 10

Explanation:

Given 5:6 :: 7:10 :: 6:5

We know that compound ratio is calculated as
a:b :: c:d :: e:f
(axcxe):(bxdxf)

=> (5x7x6):(6x10x5)
=> (210):(300)
= 7:10

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Filed Under: Ratios and Proportions
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Q:

Pipe K fills a tank in 30 minutes. Pipe L can fill the same tank 5 times as fast as pipe K. If both the pipes were kept open when the tank is empty, how much time will it take for the tank to overflow ?

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

Explanation:

Let the total capacity of tank be 90 liters.
Capacity of tank filled in 1 minute by K = 3 liters.
Capacity of tank filled in 1 minute by L = 15 liters.
Therefore, capacity of the tank filled by both K and L in 1 minute = 18 liters.
Hence, time taken by both the pipes to overflow the tank = 90/18 = 5 minutes.

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Q:

Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in six hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the difference in their times taken to reach the destination would be (in minutes).

A) 18 min B) 30 min
C) 27 min D) 32 min
 
Answer & Explanation Answer: B) 30 min

Explanation:

Distance travelled by Ramu = 45 x 4 = 180 km

Somu travelled the same distance in 6 hours.

His speed = 180/6 = 30 km/hr

Hence in the conditional case, Ramu's speed = 45 - 9 = 36 km/hr and Somu's speed = 30 + 10 = 40km/hr.

Therefore travel time of Ramu and Somu would be 5 hours and 4.5 hours respectively.

Hence difference in the time taken = 0.5 hours = 30 minutes.

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Filed Under: Time and Distance
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Q:

A ball is thrown vertically upward from the ground. It crosses a point at the height of 25 m twice at an interval of 4 seconds. The ball was thrown with the velocity of

A) 18 m/s B) 25 m/s
C) 30 m/s D) 36 m/s
 
Answer & Explanation Answer: C) 30 m/s

Explanation:

The interval between object pass the same point is 4 sec.

That means in 2 sec, object reaches the top and in next 2 sec, it again reaches the same point.

By the info given, we can find the velocity of that point by using : v=u+(-gt)

0= u - 10×2

u = 20

Then the velocity at 25m is 20m/sec.

so the initial velocity is


-v2 = u2 + (-2gh)400 = u2 - 2x 10 x 25u2 = 900 => u = 30 m/s

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Filed Under: Physics
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Q:

What time will it be in 45 minutes?

Now, if the time is 4:48 pm.

Answer

As now, the time 4 : 48 pm after 45 min it will be


4:48 + 45 min = (4 hrs : 48 + 12 min) pm + 33 min = 5 hrs : 33 min pm.


Hence, it is 5:33 pm.

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Subject: Clocks Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

What is the main function of an ignition safety switch?

Answer

An ignition safety switch is a safety device can shut off the engine if the operator falls off the PWC or out of the powerboat, or is otherwise thrown from the proper operating position.


 


How it works:


It allows the engine of the vehicle to shut off or to be turned off immediately as it is to prevent further complications to happen as this is being used when an emergency is launched


 


Where it is used:


Most powerboats and PWCs come equipped by the manufacturer with an emergency engine cut-off switch.

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Subject: Physics Exam Prep: AIEEE , Bank Exams , CAT , GATE
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