GATE Practice Question and Answer

Q: Brass gets discoloured in air because of the presence of which of the following gases in air  ? 2382 0

  • 1
    Hydrogen sulphide
    Correct
    Wrong
  • 2
    Oxygen
    Correct
    Wrong
  • 3
    Nitrogen
    Correct
    Wrong
  • 4
    Carbon dioxide
    Correct
    Wrong
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Answer : 1. "Hydrogen sulphide"
Explanation :

Answer: A) Hydrogen sulphide Explanation:

Q: If the C.I. on a sum for 2 years at 12 1/2 % per annum is Rs. 510, the S.I. on the same sum at the same rate for the same period of time is   ? 1470 0

  • 1
    Rs. 580
    Correct
    Wrong
  • 2
    Rs. 480
    Correct
    Wrong
  • 3
    Rs. 550
    Correct
    Wrong
  • 4
    Rs. 470
    Correct
    Wrong
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Answer : 2. "Rs. 480"
Explanation :

Answer: B) Rs. 480 Explanation: Let the sum be Rs. P. Then,   P1+252x1002-P= 510   P[982- 1] = 510.   Sum = Rs. 1920   So, S.I. = (1920 x 25 x 2) / (2 x 100) = Rs. 480

Q: After independence, the first state organized on the basis of language age is  ? 2565 2

  • 1
    Karnataka
    Correct
    Wrong
  • 2
    Punjab
    Correct
    Wrong
  • 3
    Gujarat
    Correct
    Wrong
  • 4
    Andhra Pradesh
    Correct
    Wrong
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Answer : 4. "Andhra Pradesh"
Explanation :

Answer: D) Andhra Pradesh Explanation:

Q: How many seconds will a 600 m long train take to cross a man walking with a speed of 7 km/hr in the direction of the moving train if the speed of the train is 67 km/hr ? 1385 0

  • 1
    29 sec
    Correct
    Wrong
  • 2
    58 sec
    Correct
    Wrong
  • 3
    36 sec
    Correct
    Wrong
  • 4
    44 sec
    Correct
    Wrong
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Answer : 3. "36 sec"
Explanation :

Answer: C) 36 sec Explanation: Speed of train relative to man = 67 - 7 = 60 km/hr.= 60 x 5/18 = 50/3 m/sec. Time taken to pass the man = 600 x 3/50 = 36 sec.

Q: A mixture of 70 litres of Fruit Juice and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12.5% water   ? 2374 0

  • 1
    2 lit
    Correct
    Wrong
  • 2
    4 lit
    Correct
    Wrong
  • 3
    1 lit
    Correct
    Wrong
  • 4
    3 lit
    Correct
    Wrong
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Answer : 1. "2 lit"
Explanation :

Answer: A) 2 lit Explanation: Quantity of fruit juice in the mixture = 70 - [70 x (10/100) ]= 63 litres.   After adding water, juice would form 87.5% of the mixture.   Hence, if quantity of mixture after adding x liters of water, [(87.5) /100 ]*x = 63 => x = 72    Hence 72 - 70 = 2 litres of water must be added.

Q: A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out of half of the cloth he has ? 2075 0

  • 1
    300
    Correct
    Wrong
  • 2
    150
    Correct
    Wrong
  • 3
    175
    Correct
    Wrong
  • 4
    200
    Correct
    Wrong
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Answer : 2. "150"
Explanation :

Answer: B) 150 Explanation: Half of the cloth = 37.5/2 From 1 meter he will make 8 pieces=> in 37.5/2 ---- ? 37.5/2 x 8 = 150.

Q: Find the C.I. on Rs. 15,225 for 9 months at 16% per annum compounded quarterly ? 1299 0

  • 1
    Rs. 1911
    Correct
    Wrong
  • 2
    Rs. 1909
    Correct
    Wrong
  • 3
    Rs. 1901
    Correct
    Wrong
  • 4
    Rs. 1907
    Correct
    Wrong
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Answer : 3. "Rs. 1901"
Explanation :

Answer: C) Rs. 1901 Explanation: P = Rs. 15225, n = 9 months = 3 quarters, R = 16% p.a. per quarter.   Amount = 15225x1+41003   = (15225 x 26/25 x 26/25 x 26/25) = Rs. 17126.05   => C.I. = 17126 - 15625 = Rs. 1901.05.

Q: 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it ? 957 0

  • 1
    40 days
    Correct
    Wrong
  • 2
    36 days
    Correct
    Wrong
  • 3
    32 days
    Correct
    Wrong
  • 4
    34 days
    Correct
    Wrong
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Answer : 1. "40 days"
Explanation :

Answer: A) 40 days Explanation: Let 1 man's 1 day work = x and 1 woman's 1 day work = y.Then, 4x + 6y = 1/8 and 3x + 7y = 1/10Solving these two equations, we get:x = 11/400 and y = 1/40010 woman's 1 day work = (1/400 x 10) = 1/40. Hence, 10 women will complete the work in 40 days.

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