GATE Practice Question and Answer

Q: What will come in the place of the (?) in the following number series ? 5 14 45 130 (?) 1182 1530 0

  • 1
    222
    Correct
    Wrong
  • 2
    397
    Correct
    Wrong
  • 3
    404
    Correct
    Wrong
  • 4
    415
    Correct
    Wrong
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Answer : 2. "397"
Explanation :

Answer: B) 397 Explanation: The pattern of given series is : 5 14 = (5x3) - 1 45 = (14x3) + 3 130 = (45x3) - 5 (?) = (130x3) + 7 => (?) = 397 1182 = (397x3) - 9 Thus, the missing number is 397.

Q: The average age of 7 boys is increased by 1 year when one of tem whose age is replaced by a girl. What is the age of the girl ? 1798 0

  • 1
    33 yrs
    Correct
    Wrong
  • 2
    27 yrs
    Correct
    Wrong
  • 3
    21 yrs
    Correct
    Wrong
  • 4
    29 yrs
    Correct
    Wrong
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Answer : 4. "29 yrs"
Explanation :

Answer: D) 29 yrs Explanation: Let the avg age of 7 boys be 'p' yearsLet the age of the girl be 'q' yearsFrom given data,The age of 7 boys = 7p yearsNow the new average = (p + 1) when 22 yrs is replaced by qNow the age of all 7 will become = 7(p + 1) yrsHence, 7p - 22 + q = 7(p + 1) yrs7p - 22 + q = 7p + 7q = 22 + 7 = 29 Therefore, the age of girl = q = 29 years.

Q: Find the length of a train if it takes 10 seconds to cross a pole and double of this time to cross a platform of length 200 mts ? 1185 0

  • 1
    180 mts
    Correct
    Wrong
  • 2
    190 mts
    Correct
    Wrong
  • 3
    200 mts
    Correct
    Wrong
  • 4
    210 mts
    Correct
    Wrong
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Answer : 3. "200 mts"
Explanation :

Answer: C) 200 mts Explanation: Let the length of the train be 'L' mts let the speed of the train be 'S' m/s Given it crosses a pole in 10 sec=> L/S = 10 ......(1)Given it takes 20 sec (double of pole) to cross a platform of length 200 mts => (L + 200)/S = 20 => L/S + 200/S = 20 But from (1) L/S = 10 => 200/S = 20 - 10 => S = 20 m/s Then, from (1) => L = 10 x 20 = 200 mts. Hence, the length of the train = 200 mts.

Q: Mary is 12 years younger to Pinky. After 3 years, the ratio of their ages will be 5:8. If the present age of Sam is the sum of ages of Mary and Pinky, then what was the age of Sam 15 years back ? 1914 0

  • 1
    31 years
    Correct
    Wrong
  • 2
    37 years
    Correct
    Wrong
  • 3
    46 years
    Correct
    Wrong
  • 4
    29 years
    Correct
    Wrong
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Answer : 1. "31 years"
Explanation :

Answer: A) 31 years Explanation: Let the present age of Pinky be x years   Then the age of Mary is x - 12 years   After 3 years,   Ratio of  MaryPinky = x - 9x + 3 = 58   8x - 72 = 5x +15   => 3x = 87   => x = 29   => Age of Pinky = 29 years   => Age of Mary = 29 - 12 = 17 years   Present age of Sam = 29 + 17 = 46   Before 15 years Sam age = 46 - 15 = 31 years.

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Answer : 3. "Rs. 10664.15"
Explanation :

Answer: C) Rs. 10664.15 Explanation: Profit received by Chinna as working partner = 14.5% of Rs. 19600 = 14.5x19600/100 = Rs. 2842 Balance in profit = 19600-2842 = Rs. 16758 Ratio of investment of Chinna & Munna = 80,000 : 1,40,000 = 4 : 7 Hence share of Chinna in investment = 4x16758/100 = Rs. 6093.85 Therefore, Share of Munna = 19600 - 2842 - 6093.85 = Rs. 10664.15

Q: In how many ways the letters of the word OLIVER be arranged so that the vowels in the word always occur in the dictionary order as we move from left to right ? 1721 0

  • 1
    186
    Correct
    Wrong
  • 2
    144
    Correct
    Wrong
  • 3
    136
    Correct
    Wrong
  • 4
    120
    Correct
    Wrong
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Answer : 4. "120"
Explanation :

Answer: D) 120 Explanation: In given word OLIVER there are 3 vowels E, I & O. These can be arranged in only one way as dictionary order E, I & O.   There are 6 letters in thegiven word.   First arrange 3 vowels.   This can be done in 6C3 ways and that too in only one way.(dictionary order E, I & O)   Remaining 3 letters can be placed in 3 places = 3! ways   Total number of possible ways of arranging letters of OLIVER = 3! x C36 ways = 6x5x4 = 120 ways.

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Answer : 4. "Rs. 500"
Explanation :

Answer: D) Rs. 500 Explanation: Watson bought the book for Rs. 240 and sold to Johny at a profit of 50%. S.P = C.P(1 + P%/100) => S.P for Watson = C.P for Johny = 240(1 + 50/100) = 240 x 1.5 = Rs. 360 Let Johny quoted the marked price of the book as Rs. M We know, SP = M.P(1 - Discount(%)/100) Here discount = 10% to Shekar, S.P for Johny = M(1 - 10/100) = 0.9M But Johny want to earn 25% profit, => S.P = C.P(1 + P%/100) => 0.9M = 360(1 + 25/100) => M = (360x1.25)/0.9 => M = Rs. 500 Therefore, Johny should quote Rs. 500 as the marked price of the book to get 25% profit and allowing 10% discount to Shekar.

Q: The total simple interest earned on a sum of money increases by Rs. 600 when the rate of interest increases by 2% per annum. If the investment was made for 5 years, find the sum of money that was invested ? 1571 0

  • 1
    Rs. 6000
    Correct
    Wrong
  • 2
    Rs. 5550
    Correct
    Wrong
  • 3
    Rs. 7500
    Correct
    Wrong
  • 4
    Rs. 6580
    Correct
    Wrong
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Answer : 1. "Rs. 6000"
Explanation :

Answer: A) Rs. 6000 Explanation: Let the sum invested be Rs. P Let the rate of interest be R% per annum => Interest earned for 5 years = (P x 5 x R/100) = PR/20 Now, given that the interest earned increased by Rs. 600 if the Rate increased to (R+2)% => SI = (P x 5 x (R+2))/100 = PR/20 + 10P/100 Hence, PR/20 + 10P/100 = PR/20 + 600 => P = 6000 Therefore, the sum invested is Rs. 6000

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