GATE Practice Question and Answer

Q: How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction ? 1225 0

  • 1
    58 sec
    Correct
    Wrong
  • 2
    62 sec
    Correct
    Wrong
  • 3
    60 sec
    Correct
    Wrong
  • 4
    50 sec
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "50 sec"
Explanation :

Answer: D) 50 sec Explanation: The distance to be covered = Sum of their lengths = 200 + 300 = 500 m. Relative speed = 72 -36 = 36 kmph = 36 x 5/18 = 10 mps. Time required = d/s = 500/10 = 50 sec.

Q: The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is  ? 813 0

  • 1
    3 years
    Correct
    Wrong
  • 2
    4 years
    Correct
    Wrong
  • 3
    2.5 years
    Correct
    Wrong
  • 4
    2 years
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "4 years"
Explanation :

Answer: B) 4 years Explanation: P1+20100n > 2P        Now, (6/5 x 6/5 x 6/5 x 6/5) > 2.       So, n = 4 years.

Q: A shopkeeper sells two articles at Rs.1000 each, making a profit of 30% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes ? 1361 0

  • 1
    0.85 %
    Correct
    Wrong
  • 2
    0.95 %
    Correct
    Wrong
  • 3
    1.0 %
    Correct
    Wrong
  • 4
    1.3 %
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "0.95 %"
Explanation :

Answer: B) 0.95 % Explanation: SP of first article = 1000Profit = 30%CP = (SP)x[100/(100+P)] = 10000/13 SP of second article = 1000Loss = 20%CP = (SP)x[100/(100-L)] = 5000/4 = 1250 Total SP = 2000 Total CP = 10000/13 + 1250 = 2019.23 CP is more than SP, he makes a loss. Loss = CP-SP = 2019.23 - 2000 = 19.23Loss Percent = [(19.23)/(2019.23)]x100 = 0.95 %.

Q: Lasya invested certain amount for two rates of simple interests at 5% p.a. and 4% p.a. What is the ratio of Lasya's investments if the interests from those investments are equal ? 1244 0

  • 1
    4 : 5
    Correct
    Wrong
  • 2
    5 : 4
    Correct
    Wrong
  • 3
    7 : 6
    Correct
    Wrong
  • 4
    6 : 7
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "4 : 5"
Explanation :

Answer: A) 4 : 5 Explanation: Let x be the investment of Lasya in 5% and y be in 4% x(5)(n)/100 = y(4)(n)/100 => x/y = 4/5 x : y = 4 : 5

Q: At present, the ratio between the ages of Arun and Harish is 4:3. After 6 years, Arun's age will be 26 years. What is the age of Harish at present ? 1077 0

  • 1
    15 years
    Correct
    Wrong
  • 2
    16 years
    Correct
    Wrong
  • 3
    18 years
    Correct
    Wrong
  • 4
    21 years
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "15 years"
Explanation :

Answer: A) 15 years Explanation: Let the present ages of Arun and Harish be 4x and 3x years respectively. Then, 4x + 6 = 26 => x = 5 Harish's age = 3x = 15 years.

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 ? 1604 0

  • 1
    Rs. 1100
    Correct
    Wrong
  • 2
    Rs. 1200
    Correct
    Wrong
  • 3
    Rs. 1000
    Correct
    Wrong
  • 4
    Rs. 1840
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "Rs. 1200"
Explanation :

Answer: B) Rs. 1200 Explanation: P --- 10 ----- 600    P --- 5 ----- 300 3P --- 5 ----- 900                __________                   1200

Q: A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 15%, he is only able to save Rs. 400 per month. What is his monthly salary ? 2070 0

  • 1
    Rs. 6000
    Correct
    Wrong
  • 2
    Rs. 4500
    Correct
    Wrong
  • 3
    Rs. 5000
    Correct
    Wrong
  • 4
    Rs. 6500
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "Rs. 5000"
Explanation :

Answer: C) Rs. 5000 Explanation: Income = Rs. 100 Expenditure = Rs. 80 Savings = Rs. 20 Present Expenditure 80x(15/100) = Rs. 12 = 80 + 12 = Rs. 92 Present Savings = 100 – 92 = Rs. 8 100 ------ 8? --------- 400 => 5000 His salary = Rs. 5000

Q: K and L start a business jointly. L invests Rs.16000 for 8 months and L remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B  ? 1220 0

  • 1
    Rs. 9040
    Correct
    Wrong
  • 2
    Rs. 10,400
    Correct
    Wrong
  • 3
    Rs. 12,800
    Correct
    Wrong
  • 4
    Rs. 6350
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "Rs. 12,800"
Explanation :

Answer: C) Rs. 12,800 Explanation: 16x8 : Px4 = 5:2 P = 12.8 => Rs.12,800

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully