GATE Practice Question and Answer

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Q: The gas provider Centrica has seen its half-year profits fall by 20% to £992 million. Despite this it has decided to increase its dividend to shareholders to 3.9p per share. The rise in energy prices released before the announcement of Centrica's profits was designed, said the company, to restore "reasonable profitability". The chief executive, Sam Laidlaw, said, "We produced a good set of results in tough market conditions... we will continue to concentrate on improving customer service in British Gas..." This is an interesting statement given the record rise in prices to households. The announcement of profits which are not far off one billion pounds, a day after the announcement of the rise in price and the increase in dividend to shareholders, is likely to provoke angry reaction. Many will question the extent of the market power that Centrica possesses. There will also be those that will question what the phrase 'reasonable profitability' means in the context of profits of nearly one billion pounds. Question: 1) Announcing large profits, soon after announcing price rises, is likely to provoke angry reaction. Question: 2) Companies increase shareholder dividends when profits fall. Question: 3) One way companies can restore profitability is to increase prices. 3580 0

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Answer :
Explanation :

Answer 1) True Answer 2) Cannot tell Answer 3) True

Q: Read the arrangement carefully and give the answer of following questions ? K$23DBE8HM4@5JF4%K1+WR#AA*415 How many such symbols are there which is not immediately preceded by a letter but immediately followed by a number ? 3558 0

  • 1
    1
    Correct
    Wrong
  • 2
    2
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 1. "1"
Explanation :

Answer: A) 1 Explanation: Only one such symbol is there in the given arrangement. It is 4@5.

Q: If there are 150 questions in a 3 hr examination. Among these questions 50 are type A problems, which requires twice as much as time be spent on the rest of the type B problems. How many minutes should be spent on type A problems ? 3548 0

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    75 min
    Correct
    Wrong
  • 2
    82 min
    Correct
    Wrong
  • 3
    90 min
    Correct
    Wrong
  • 4
    101 min
    Correct
    Wrong
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Answer : 3. "90 min"
Explanation :

Answer: C) 90 min Explanation: Let X = Time taken for each of Type B Problems(100 Problems)And 2X = Time taken for each of Type A problems(50 problems) Total time period = 3hrs = 3 x 60min = 180 minutes 100X + 50(2X) = 180100X + 100X = 180200X = 180 min X = 180/200X = 0.90 min By convertiing into seconds, X = 0.90 x 60 secondsX = 54 sec So, time taken for Part A problems is = 54 x 2 x 50 = 5400 seconds= 5400/60sec = 90 minutes.

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: 3544 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: Two solutions have milk & water in the ratio 7:5 and 6:11. Find the proportion in which these two solutions should Be mixed so that the resulting solution has 1 part milk and 2 parts water ? 3535 0

  • 1
    7 : 12
    Correct
    Wrong
  • 2
    8 : 13
    Correct
    Wrong
  • 3
    9 : 4
    Correct
    Wrong
  • 4
    2 : 5
    Correct
    Wrong
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Answer : 2. "8 : 13"
Explanation :

Answer: B) 8 : 13 Explanation: To get the solution that contains 1 part of milk and two parts of water,they must be mixed in the ratio as7x+6x/5y+11y = 1/226x = 16yx/y = 16/26x/y = 8/13

Q: Ezra cup is associated with which sports? 3532 0

  • 1
    Hockey
    Correct
    Wrong
  • 2
    Polo
    Correct
    Wrong
  • 3
    Rowing
    Correct
    Wrong
  • 4
    Football
    Correct
    Wrong
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Answer : 2. "Polo"
Explanation :

Answer: B) Polo Explanation: The Ezra Cup is a popular polo tournament conducted annually in India. The Calcutta Polo Club runs this oldest and first ever Polo Trophy. The first Ezra Cup was held in 1880. After a period of inactivity, it has now been revived by Mr. Keshav Bangur, Calcutta Polo Club's president.

Q: Two boys are playing on a ground. Both the boys are less than 10 years old. Age of the younger boy is equal to the cube root of the product of the age of the two boys. If we place the digit representing the age of the younger boy to the left of the digit representing the age of the elder boy, we get the age of the father of the younger boy. Similarly, we place the digit representing the age of the elder boy to the left of the digit representing the age of the younger boy and divide the figure by 2, we get the age of the mother of the younger boy. The mother of the younger boy is younger than his father by 3 years. Then, what are the ages of elder and younger boys ? 3508 0

  • 1
    E = 15 & Y = 3
    Correct
    Wrong
  • 2
    E = 14 & Y = 12
    Correct
    Wrong
  • 3
    E = 40 & Y = 22
    Correct
    Wrong
  • 4
    E = 4 & Y = 2
    Correct
    Wrong
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Answer : 4. "E = 4 & Y = 2"
Explanation :

Answer: D) E = 4 & Y = 2 Explanation: Let the the age of the elder boy = E   Let the the age of the younger boy = Y   Given that Y = cube root of EY   => Y3 = EY => E = Y2 .....(1)By the condition of number replacement the age of the father is YE   The Mother's age = EY/2   But she is 3 years less than father => EY/2 + 3 = YE2YE = EY + 6 ......(2)   Then now from the given options we can identify which satisfies the all the conditions.   Here Y =2 and E = 4 satisfies all the conditions.

Q: Directions: Seven different boxes A, B, C, D, E, F and G of different colours viz., Orange, Pink, Purple, Yellow, Blue, Red and Green are arranged one above the other. The box at the bottom of arrangement is numbered 1, the above box is numbered 2 and so on. B is immediately above E. More than two boxes are above the Orange box. The Yellow box is immediately below A. Only one box is between the Orange box and F. G is immediately above the Red box. Only one box is between B and the Pink box. Only two boxes are between the Pink and the Green box. Only two boxes are between the Yellow box and the Orange box. The Purple box is neither at the top nor at the bottom of the arrangement.B is above Pink box. C is immediately above F. Neither C nor G is a Yellow box. G is not a Orange box. Question: Which combination represents the position of C and its colour? 3485 0

  • 1
    6-Green
    Correct
    Wrong
  • 2
    6-Red
    Correct
    Wrong
  • 3
    5-Purple
    Correct
    Wrong
  • 4
    7-Blue
    Correct
    Wrong
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Answer : 4. "7-Blue"
Explanation :

Answer: D) 7-Blue Explanation: From the given information the arrangement can be done as follows:    Position  Box  Colour         7         C       Blue       6         F       Green      5         B       Purple      4         E       Orange      3         G       Pink      2         A       Red      1         D       Yellow

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