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 ? 2004 0

  • 1
    58 sec
    Correct
    Wrong
  • 2
    62 sec
    Correct
    Wrong
  • 3
    60 sec
    Correct
    Wrong
  • 4
    50 sec
    Correct
    Wrong
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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: An amount doubles itself in 15 years. what is the rate of interest ? 2004 0

  • 1
    7.85 %
    Correct
    Wrong
  • 2
    9.41%
    Correct
    Wrong
  • 3
    6.66 %
    Correct
    Wrong
  • 4
    4.21 %
    Correct
    Wrong
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Answer : 3. "6.66 %"
Explanation :

Answer: C) 6.66 % Explanation: Let the principle be Rs. PAs the amount double itself the interest is Rs. P tooSo P = P x r x 15/100=> r = 100/15 = 20/3 % = 6.66 %.

Q: Assuming the given statements to be true, find which of the two conclusions A and B given below is/are definitely true. Statements: C < T < L= P > Q,  N > C > Y Conclusions:   A. P > Y       B. Y < P 2002 0

  • 1
    only conclusion B is true.
    Correct
    Wrong
  • 2
    only conclusion A is true.
    Correct
    Wrong
  • 3
    neither conclusion I nor II is true.
    Correct
    Wrong
  • 4
    either conclusion I or II is true.
    Correct
    Wrong
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Answer : 1. "only conclusion B is true."
Explanation :

Answer: A) only conclusion B is true. Explanation: From given statements, we can conclude that N > C < T < L= P > Q  .....(1) Here given that C > Y but in eq(1) we got that C < T < T <= P => Y is definitely less than P. So only conclusion B is True.

Q: A began a business with Rs. 85000. He was joined afterwards by B with Rs. 42,500. For how much perod does B join, if the profits at the end of the year are divided in the ratio of 3:1 ? 2002 0

  • 1
    8 months
    Correct
    Wrong
  • 2
    6 months
    Correct
    Wrong
  • 3
    7 months
    Correct
    Wrong
  • 4
    9 months
    Correct
    Wrong
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Answer : 1. "8 months"
Explanation :

Answer: A) 8 months Explanation: Suppose B joined for x months. Given profit is divided in the ratio 3:1. Then, 85000×1242500×x=31  --> x = 8 months.

Q: What is the chemical name for vitamin A? 2002 0

  • 1
    Retinol
    Correct
    Wrong
  • 2
    Riboflavin
    Correct
    Wrong
  • 3
    Thiamine
    Correct
    Wrong
  • 4
    Niacin
    Correct
    Wrong
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Answer : 1. "Retinol"
Explanation :

Answer: A) Retinol Explanation: Vitamin A is a group of unsaturated nutritional organic compounds that includes retinol, retinal, retinoic acid, and several provitamin A carotenoids. IUPAC Name :: (2E,4E,6E,8E)-3,7-dimethyl-9-(2,6,6-trimethylcyclohexen-1-yl)nona-2,4,6,8-tetraen-1-ol   Vitamin Name - Chemical Name Vitamin A   -     Retinol Vitamin B1  -    Thiamine Vitamin B2  -    Riboflavin Vitamin B3  -    Niacin Vitamin B5  -    Pantothenic acid Vitamin B6  -    Pyridoxin Vitamin B7  -    Biotin Vitamin B9  -    Folic acid Vitamin B12  -   Cyanocobalamin Vitamin C     -   Ascorbic acid Vitamin D     -   Calciferol Vitamin E      -   Tocoferol Vitamin K      -   Phylloquinone and Menaquinones

Q: How do you inspire others to be better ? 2001 0

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Answer :
Explanation :

Inspiration is powerful, but it isn’t easy. If you want to be a positive influence, capable of inspiring your loved ones to become better versions of themselves, please consider these:- Be a good example.- Read them.- Care about others.- Encouragement.- Be inspired yourself.- Share your own experience.- Share your success as well as your failures.- Be a good mentor.- Make them to trust you.

Q: A can do a piece of work in 15 days and B can do it in 16 days and C can do it 24 days. They started the work together and A leaves after 3 days and B leaves after 4 days from the beginning. How long will work lost ? 2001 0

  • 1
    10 2/3 days
    Correct
    Wrong
  • 2
    13 1/5 days
    Correct
    Wrong
  • 3
    12 2/3 days
    Correct
    Wrong
  • 4
    11 5/7 days
    Correct
    Wrong
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Answer : 2. "13 1/5 days"
Explanation :

Answer: B) 13 1/5 days Explanation: 3/15 + 4/16 + x/24 = 1 ⇒x=1315

Q: 217 x 217 + 183 x 183 = ? 1999 0

  • 1
    84521
    Correct
    Wrong
  • 2
    87487
    Correct
    Wrong
  • 3
    80578
    Correct
    Wrong
  • 4
    78458
    Correct
    Wrong
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Answer : 3. "80578"
Explanation :

Answer: C) 80578 Explanation: 2172+1832   = 200+172+200-172   It is in the form of a+b2+a-b2=2a2+b2   = 2(40000 + 289) = 80578.

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