GATE Practice Question and Answer

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Answer : 4. "Rs. 1,00,000"
Explanation :

Answer: D) Rs. 1,00,000 Explanation: Deepa invested Rs.50,000 for 12 months, Rs.(50000 + 20000) for 12 months and Rs.(50000 + 20000 + 20000) for 12 months.i.e, she invested Rs.50,000 for 12 months, Rs.70000 for 12 months and Rs.90000 for 12 months.Sushma invested Rs. 70000 for 2 years; i.e, Rs.70000 for 24 monthsAnd, Avanthi invested Rs.70000 for 1 year; i.e, Rs. 70000 for 12 months. Their investing ratio:Deepa : Sushma : Avanthi = (50,000 x 12 + 70000 x 12 + 90000 x 12):(70000 x 24):(70000 x 12)= (25,20,000):(16,80,000):(8,40,000) = 252:168:84 = 3:2:1 Total profit for 3 years = Rs.3,00,000Therefore, Sushma's share = Rs.(3,00,000 x 2 /(3+2+1)) = Rs.(3,00,000 x 2/6) = Rs.1,00,000.

Q: If the selling price of a mat is five times the discount offered and if the percentage of discount is equal to the percentage profit, find the ratio of the discount offered to the cost price. 4343 0

  • 1
    6:31
    Correct
    Wrong
  • 2
    11:30
    Correct
    Wrong
  • 3
    7:30
    Correct
    Wrong
  • 4
    31:6
    Correct
    Wrong
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Answer : 3. "7:30"
Explanation :

Answer: C) 7:30 Explanation: Since S.P. = 5 (M.P. - S.P.) => 5 M.P. = 6 S.P.M.P. = (6/5) S.P.Since the percentage discount = Percentage profit,65S.P - S.P65S.P×100 = S.P -C.PC.P×100Therefore, 1/6 = (S.P/C.P) – 1 => S.P = (7/6) C.PM.P = 6/5 S.P = 6/5 x 7/6 C.P = 7/5 C.PTherefore, Ratio of discount to C.P= (M.P – S.P)/C.P = [{(7/5)C.P - (7/6)C.P} / C.P.]= 7/30   Therefore, the ratio is 7 : 30

Q: 96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part ? 4338 0

  • 1
    42
    Correct
    Wrong
  • 2
    54
    Correct
    Wrong
  • 3
    46
    Correct
    Wrong
  • 4
    58
    Correct
    Wrong
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Answer : 1. "42"
Explanation :

Answer: A) 42 Explanation: Let x and y be the two parts of 96. x/7 = y/9 => x:y = 7:9 => The smallest part is = 7/16 x 96 = 42.

Q: 194, 194, 191, 183, 168, ? Find the next number in the above series? 4321 0

  • 1
    154
    Correct
    Wrong
  • 2
    156
    Correct
    Wrong
  • 3
    144
    Correct
    Wrong
  • 4
    143
    Correct
    Wrong
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Answer : 3. "144"
Explanation :

Answer: C) 144 Explanation: Here the series follows, 194 194 - (1x1 - 1) = 194 194 - (2x2 - 1) = 191 191 - (3x3 - 1) = 183 183 - (4x4 - 1) = 168 168 - (5x5 - 1) = 144

Q: The number of ways in which 8 distinct toys can be distributed among 5 children? 4319 0

  • 1
    5P8
    Correct
    Wrong
  • 2
    5^8
    Correct
    Wrong
  • 3
    8P5
    Correct
    Wrong
  • 4
    8^5
    Correct
    Wrong
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Answer : 2. "5^8"
Explanation :

Answer: B) 5^8 Explanation: As the toys are distinct and not identical, For each of the 8 toys, we have three choices as to which child will receive the toy. Therefore, there are 58 ways to distribute the toys.   Hence, it is 58 and not 85.

Q: A person starting with 64 rupees and making 6 bets, wins three times and loses three times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is: 4314 0

  • 1
    A gain of Rs. 27
    Correct
    Wrong
  • 2
    A loss of Rs. 37
    Correct
    Wrong
  • 3
    A loss of Rs. 27
    Correct
    Wrong
  • 4
    A gain of Rs. 37
    Correct
    Wrong
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Answer : 2. "A loss of Rs. 37"
Explanation :

Answer: B) A loss of Rs. 37 Explanation: As the win leads to multiplying the amount by 1.5 and loss leads to multiplying the amount by 0.5, we will multiply the initial amount by 1.5 thrice and by 0.5 thrice (in any order). The overall resultant will remain same. So final amount with the person will be (in all cases): = 64(1.5)(1.5)(1.5)(0.5)(0.5)(0.5)= Rs. 27 Hence the final result is:  64 − 27 = 37 A loss of Rs.37

Q: Which of these is not a simple machine? 4313 1

  • 1
    a pair of scissors
    Correct
    Wrong
  • 2
    a lever
    Correct
    Wrong
  • 3
    a ramp
    Correct
    Wrong
  • 4
    the pulley
    Correct
    Wrong
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Answer : 1. "a pair of scissors"
Explanation :

Answer: A) a pair of scissors Explanation: Any of the basic mechanical devices for applying a force are called simple machines. There are 6 basic simple machines; the lever, the wheel and axle, the inclined plane, the wedge, the pulley, and the screw. Several of these simple machines are related to each other. But, each has a specific purpose in the world of doing work.

Q: One Word substitute : Extreme old age when a man behaves like a fool 4306 0

  • 1
    Superannuation
    Correct
    Wrong
  • 2
    Imbecility
    Correct
    Wrong
  • 3
    Senility
    Correct
    Wrong
  • 4
    Dotage
    Correct
    Wrong
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Answer : 4. "Dotage"
Explanation :

Answer: D) Dotage Explanation:

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