GATE Questions

Q:

If 5 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time  ?

A) 1:2 B) 1:3
C) 3:1 D) 2:1
 
Answer & Explanation Answer: D) 2:1

Explanation:

5M + 2B = 4(1M + 1B)

5M + 2B = 4M + 4B

1M = 2B

The required ratio of work done by a man and a boy = 2:1

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Filed Under: Time and Work
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8 12212
Q:

Happiness is to 517768399 as senipah is to

A) 9836715 B) 9386615
C) 9386715 D) 9386517
 
Answer & Explanation Answer: C) 9386715

Explanation:

If each consecutive letter in "happiness" relates to the consecutive numbers in 517768399, then H=5, A=1, P=7, I=6, N=8, E=3 and S=9.

Using the numbers that relate to the letters in 'senipah', you will arrive at

SENIPAH = 9386715.

 

Hence, Happiness is to 517768399 as senipah is to 9386715.

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41 12209
Q:

A shopkeeper sold a mobile phone for Rs. 12000. Had he offered discount of 10% on the selling price, there would be a loss of 4%. What is the cost price of that Mobile phone?

A) Rs. 12,500 B) Rs. 11,250
C) Rs. 12,750 D) Rs. 11,680
 
Answer & Explanation Answer: B) Rs. 11,250

Explanation:

Given that SP = Rs. 12000 - 10%  = Rs. 10,800

Loss% = 4

We know that, C.P = 100/(100 - Loss%) x 100

=> 100/100-4 x 10800

=> 1080000/96

C.P = Rs. 11,250

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Filed Under: Profit and Loss
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14 12135
Q:

The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year ?

A) Rs. 1100 B) Rs. 1200
C) Rs. 1000 D) Rs. 1840
 
Answer & Explanation Answer: B) Rs. 1200

Explanation:

P --- 10 ----- 600 

  P --- 5 ----- 300

3P --- 5 ----- 900
                __________
                   1200

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Filed Under: Simple Interest
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24 12127
Q:

Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour ?

A) 2 hrs B) 20 min
C) 40 min D) 30 min
 
Answer & Explanation Answer: B) 20 min

Explanation:

In 1hr, the bus covers 60 km without stoppages and 40 km with stoppages.

Stoppage time = time take to travel (60 - 40) km i.e 20 km at 60 km/hr.

stoppage time = 20/60 hrs = 20 min.

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Filed Under: Time and Distance
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10 12120
Q:

Natural Rubber is a Polymer of

A) butadiene B) 2methyl-1,3butadiene
C) ethylene D) isoprene
 
Answer & Explanation Answer: D) isoprene

Explanation:

Natural Rubber is a Polymer derived from Isoprene. 

 rubber-bands-503028_6401547100511.jpg image

      • Natural rubber is an addition polymer that is obtained as a milky white fluid known as Latex from a Tropical Rubber Tree.
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Filed Under: Chemistry
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37 12102
Q:

The sum of 3rd and 15th elements of an arithmetic progression is equal to the sum of 6th, 11th and 13th elements of the same progression. Then which element of the series should necessarily be equal to zero ?

A) 14th element B) 9th element
C) 12th element D) 7th element
 
Answer & Explanation Answer: C) 12th element

Explanation:

If we consider the third term to be ‘x”
The 15th term will be (x + 12d)
6th term will be (x + 3d)
11th term will be (x + 8d) and
13th term will be (x + 10d).
Thus, as per the given condition, 2x + 12d = 3x + 21d.Or x + 9d = 0.
x + 9d will be the 12th term.

Thus, 12th term of the A.P will be zero.

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Filed Under: Chain Rule
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35 12092
Q:

What is the value of KL ?

Statement A: K2= 4.
Statement B: L = 0.

A) Only A is sufficient B) Only B is sufficient
C) Both (A) and (B) are sufficient D) None of the above
 
Answer & Explanation Answer: B) Only B is sufficient

Explanation:

From statement B, 

As the value of L = 0, the value of KL = 0.

Hence only statement B is sufficient.

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Filed Under: Statement and Conclusions
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