GATE Practice Question and Answer

Q: A train travels 325 km in 3.5 hours and 470 km in 4 hours. Find the average speed of train ? 1506 0

  • 1
    107 kmph
    Correct
    Wrong
  • 2
    106 kmph
    Correct
    Wrong
  • 3
    72 kmph
    Correct
    Wrong
  • 4
    76 kmph
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "106 kmph"
Explanation :

Answer: B) 106 kmph Explanation: As we know that Speed = Distance / Timefor average speed = Total Distance / Total Time TakenThus, Total Distance = 325 + 470 = 795 kmThus, Total Speed = 7.5 hrsAverage Speed = 795/7.5 => 106 kmph.

Q: If the price of a commodity is decreased by 20% and its consumption is increased by 10%, what will be the increase or decrease in the expenditure on the commodity? 1506 0

  • 1
    increase 12%
    Correct
    Wrong
  • 2
    decrease 12%
    Correct
    Wrong
  • 3
    increase 16%
    Correct
    Wrong
  • 4
    decrease 16%
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "decrease 12%"
Explanation :

Answer: B) decrease 12% Explanation: Given the price of a commodity is decreased by  p = 20% And its consumption is increased by q = 10% Now, required increase or decrease in the expenditure on the commodity can be  p + q + pq/100 = -20 + 10 - 200/100 = -10 - 2 = -12%.   Hence, decrease in the expenditure = 12%

Q: What belongs to you but is used more by others? 1506 0

  • 1
    Clothes
    Correct
    Wrong
  • 2
    Cosmetics
    Correct
    Wrong
  • 3
    Shoes
    Correct
    Wrong
  • 4
    Name
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "Name"
Explanation :

Answer: D) Name Explanation: Yep! It's your NAME that belongs to you but is used more by others than you.

Q: Simple interest on a certain sum at 7% per annum for 4 years is Rs. 2415. What will be the compound interest on the same principal at 4% per annum in two years? 1505 0

  • 1
    Rs. 704
    Correct
    Wrong
  • 2
    Rs. 854
    Correct
    Wrong
  • 3
    Rs. 893
    Correct
    Wrong
  • 4
    Rs. 914
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "Rs. 704"
Explanation :

Answer: A) Rs. 704 Explanation: We know that, S.I. = PTR100⇒ P = S.I x 100T x RAnd also,C.I = P1 + R100n- 1 From given data, P = Rs. 8625 Now, C.I  = 86251+41002-1= 862526252-1= 8625676625-1= 8625 x 51625C.I = Rs. 703.80

Q: Makaibari is the costliest variety of what? 1504 0

  • 1
    Coffee
    Correct
    Wrong
  • 2
    Pepper
    Correct
    Wrong
  • 3
    Tea
    Correct
    Wrong
  • 4
    Water
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "Tea"
Explanation :

Answer: C) Tea Explanation: Makaibari is the world's first tea factory and was established in 1859 in Darjeeling, West Bengal.    It is most expensive tea in India which costs around 1.12 lakhs for 1 kg of tea.   Hence, Makaibari is the costliest variety of Tea.

Q: IF YOU HAVE ME, YOU WANT TO SHARE ME. IF YOU SHARE ME, YOU HAVEN'T GOT ME. WHAT AM I? 1504 0

  • Show AnswerHide Answer
  • Workspace

Answer :
Explanation :

A Secret.

Q: A sum of Rs. 8,000 is deposited for 3 years at 5% per annum compound interest (compounded annually). The difference of interest for 3 years and 2 years will be 1503 0

  • 1
    Rs. 387
    Correct
    Wrong
  • 2
    Rs. 441
    Correct
    Wrong
  • 3
    Rs. 469
    Correct
    Wrong
  • 4
    Rs. 503
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "Rs. 441"
Explanation :

Answer: B) Rs. 441 Explanation: Given principal amount = Rs. 8000 Time = 3yrs Rate = 5% C.I for 3 yrs = 8000 x 105100 x 105100 x 105100 - 8000= Rs. 1261   Now, C.I for 2 yrs = 8000 x 105100 x 105100= Rs. 820    Hence, the required difference in C.I is 1261 - 820 = Rs. 441

Q: Train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 20 seconds. The length of train K is three-fourths the length of train L. What is the ratio of the speed of train K to that of train L   ? 1502 0

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

Answer : 2. "2 : 1"
Explanation :

Answer: B) 2 : 1 Explanation: Given that train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 15 seconds. Let the length of train K be Lk and that of train L be Ll given that Lk = 3/4 Ll As the train K and L crosses the pole in 30 seconds and 80 seconds respectively, => Speed of train K = sk = Lk/30 Speed of train L = sl = Ll/80 Lk = 3/4 Ll => sk = 3/4 Ll/(30) = Ll/40 Ratio of their speeds = sk : sl = Ll/40 : Ll/80 => 1/40 : 1/80  =  2 : 1

      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