GATE Practice Question and Answer

Q: Find the sum to 200 terms of the series 2 + 5 + 7 + 6 + 12 + 7 + .... 1464 0

  • 1
    30,400
    Correct
    Wrong
  • 2
    30,200
    Correct
    Wrong
  • 3
    34,600
    Correct
    Wrong
  • 4
    38,400
    Correct
    Wrong
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Answer : 1. "30,400"
Explanation :

Answer: A) 30,400 Explanation: we can treat every two consecutive terms as one.So, we will have a total of 100 terms of the nature:(2 + 5) + (7 + 6) + (12 + 7).... => 7, 13, 19,....   We know the sum of n terms  nn+12   Now, a= 7, d=6 and n=100Hence the sum of the given series is S= 100/2 x[2 x 7 + 99 x 6]=> 50[608]=> 30,400.

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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: On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is  ? 1462 0

  • 1
    476190476
    Correct
    Wrong
  • 2
    48617
    Correct
    Wrong
  • 3
    47619
    Correct
    Wrong
  • 4
    4587962
    Correct
    Wrong
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Answer : 3. "47619"
Explanation :

Answer: C) 47619 Explanation: By hit and trail, we find that 47619 x 7 = 333333. 7) 333333 (47619    333333----------------        0 And 476190476 x 7 = 3333333333 but smallest number is 47619.

Q: What should be replaced in the place of '?' in the following series ? JAK, KBL, LCM, MDN, ? 1462 0

  • 1
    MEN
    Correct
    Wrong
  • 2
    NEM
    Correct
    Wrong
  • 3
    NEO
    Correct
    Wrong
  • 4
    OEP
    Correct
    Wrong
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Answer : 3. "NEO"
Explanation :

Answer: C) NEO Explanation: This is an alternating series in alphabetical order. The middle letters follow the order ABCDE. The first and third letters are alphabetical beginning with J. The third letter is repeated as a first letter in each subsequent three-letter segment.

Q: Find the compound interest on Rs. 2680 at 8% per annum for 2 years ? 1462 0

  • 1
    Rs. 664.21
    Correct
    Wrong
  • 2
    Rs. 548.68
    Correct
    Wrong
  • 3
    Rs. 445.95
    Correct
    Wrong
  • 4
    Rs. 692.57
    Correct
    Wrong
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Answer : 3. "Rs. 445.95"
Explanation :

Answer: C) Rs. 445.95 Explanation: We know Compound Interest = C.I. = P1+r100t - 1 Here P = 2680, r = 8 and t = 2 C.I. = 26801 + 81002-1= 268027252-12= 26802725+12725-1= 2680 5225×225 = (2680 x 52 x 2)/625 = 445.95   Compound Interest = Rs. 445.95

Q: A man reduces his travelling time by a fraction of 2/5, as a result the distance covered by the man is increased by 20%, find the percentage increase in the speed of the man ? 1461 0

  • 1
    77%
    Correct
    Wrong
  • 2
    88%
    Correct
    Wrong
  • 3
    100%
    Correct
    Wrong
  • 4
    99%
    Correct
    Wrong
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Answer : 3. "100%"
Explanation :

Answer: C) 100% Explanation:

Q: A is sister of B who is mother of C who is mother of D. E is the grand mother of D. Then how C is related to E ? 1461 0

  • 1
    Sister
    Correct
    Wrong
  • 2
    Daughter
    Correct
    Wrong
  • 3
    Mother
    Correct
    Wrong
  • 4
    Daughter-in-law
    Correct
    Wrong
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Answer : 4. "Daughter-in-law"
Explanation :

Answer: D) Daughter-in-law Explanation:         GM    GMA ---- B ---- E         |         |         C         |         |         D (Grand son or daughter)

Q: If 35% of a number is 24 less than 50% of that number, then the number is ? 1460 0

  • 1
    80
    Correct
    Wrong
  • 2
    160
    Correct
    Wrong
  • 3
    100
    Correct
    Wrong
  • 4
    120
    Correct
    Wrong
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Answer : 2. "160"
Explanation :

Answer: B) 160 Explanation: Let the number be n. Then, 50% of n - 35% of n = 24 50/100 n - 35/100 n = 24 n = (24 x 100)/15 = 160.

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