GATE Questions

Q:

Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?

A) 12,421 B) 9,423
C) 11,600 D) 10,500
 
Answer & Explanation Answer: D) 10,500

Explanation:

The ratio of their investments:
50000x36 : 80000x30 = 3 : 4
Simran's share of profit = (24500x3/7) = Rs.10,500.

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Filed Under: Partnership
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5 15073
Q:

If x is a whole number, then x²(x² - 1) is always divisible by ?

A) 4 B) 8
C) 12 D) None
 
Answer & Explanation Answer: C) 12

Explanation:

we can do this by trial and error method.

Putting x = 2,we get 2²(2² - 1) = 12.
checking with other integers, the above equation always gives a value which is a multiple of 12,
So, x²(x² - 1) is always divisible by 12.

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Filed Under: Numbers
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14 15068
Q:

P alone can complete a piece of work in 6 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together  ?

A) 5 (2/3) B) 6 (3/4 )
C) 4 (1/2) D) 3
 
Answer & Explanation Answer: C) 4 (1/2)

Explanation:

Work done by P alone in one day = 1/6th of the total work done by Q alone in one day = 1/3(of that done by P in one day) = 1/3(1/6 of the total) = 1/18 of the total. 

 

Work done by P and Q, working together in one day = 1/6 + 1/18  = 4/18 = 2/9 

 

They would take 9/2 days = 4 (1/2) days to complete the work working together.

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Filed Under: Time and Work
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9 15043
Q:

If 'x' means '-', '÷' means '+', '-' means '÷' and '+' means 'x', then 24 - 4 ÷ 6 x 3 + 4 = ?

A) 0 B) 1
C) 2 D) 3
 
Answer & Explanation Answer: A) 0

Explanation:

From the given information in the question
24 ÷ 4 + 6 - 3 x 4
6 + 6 - 12 = 0

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Filed Under: Arithmetical Reasoning
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17 15040
Q:

National Highway No: _____  is called as Shershah Suri Marg ?

A) NH-1 B) NH-3
C) NH-7 D) NH-5
 
Answer & Explanation Answer: A) NH-1

Explanation:

N.H. 1 is also called The Sher Shah Suri Marg between Delhi and Amritsar.

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Filed Under: Indian Geography
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38 15030
Q:

First Bank to introduce Credit Card in India

A) HSBC Bank B) ICICI Bank
C) State Bank of India D) Central Bank of India
 
Answer & Explanation Answer: D) Central Bank of India

Explanation:

 

        • First Bank to introduce Credit Card in India - Central Bank of India
        • First Bank to introduce ATM  -  HSBC, 1987
        • First Bank to introduce Internet Banking - ICICI Bank

 

 

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21 15023
Q:

A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal. The share of C is ?

A) 64 B) 76
C) 84 D) 98
 
Answer & Explanation Answer: C) 84

Explanation:

Given total sum = Rs. 427
And given that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal.
=> 3A = 4B = 7C
But given
=> A + B + C = 427
Now express A and B in terms of C i.e
=> (7C/3) + (7C/4) + C = 427
=> C = 84

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13 15007
Q:

Which of the following is not purely output device?

A) Printer B) Speaker
C) Plotter D) Screen
 
Answer & Explanation Answer: D) Screen

Explanation:

A touch screen is the only device which works as both an input and an output device among the given options. You view the options available to you on the screen (output) and you then use your finger to touch the option that you have chosen (input).

 

Hence, Screen is not purely output device.

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22 14995