GATE Practice Question and Answer

Q: How many three digit numbers 'abc' are formed where two of the three digits are same ? 1218 0

  • 1
    252
    Correct
    Wrong
  • 2
    648
    Correct
    Wrong
  • 3
    243
    Correct
    Wrong
  • 4
    900
    Correct
    Wrong
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Answer : 3. "243"
Explanation :

Answer: C) 243 Explanation: Digits are 0,1,2,3,4,5,6,7,8,9. So no. of digits are 10   First all possible case => 9(0 excluded) x 10 x 10 = 900   Second no repetition allowed =>9 x 9 x 8 = 648   Third all digits are same => 9 (111,222,333,444,555,666,777,888,999)   Three digit numbers where two of the three digits are same = 900 - 648 - 9 = 243 ;

Q: The sum of the digits of a two-digits number is 10,while when the digits are reversed, the number decreases by 54. Find the changed number ? 1250 0

  • 1
    28
    Correct
    Wrong
  • 2
    19
    Correct
    Wrong
  • 3
    37
    Correct
    Wrong
  • 4
    46
    Correct
    Wrong
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Answer : 1. "28"
Explanation :

Answer: A) 28 Explanation: Let the original number is 82 i.e 8 + 2 = 10 and when the digits are reversed i.e 28The difference is 82 - 28 = 54 i.e, the number is decreased by 54.

Q: Find the principal if the interest compounded at the rate of 10% per annum for two years is Rs. 420 ? 1025 0

  • 1
    Rs. 2000
    Correct
    Wrong
  • 2
    Rs. 2100
    Correct
    Wrong
  • 3
    Rs. 1900
    Correct
    Wrong
  • 4
    Rs. 2150
    Correct
    Wrong
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Answer : 1. "Rs. 2000"
Explanation :

Answer: A) Rs. 2000 Explanation: Given, Compound rate, R = 10% per annumTime = 2 yearsC.I = Rs. 420Let P be the required principal.A = (P+C.I)Amount, A = P1 + r100n (P+C.I) = P1 + 101002 (P+420) = P[11/10][11/10] P-1.21P = -420 0.21P = 420 Hence, P = 420/0.21 = Rs. 2000

Q: In what time will Rs. 3300 becomes Rs. 3399 at 6% per annum interest compounded half-yearly ? 2369 0

  • 1
    Quarter months
    Correct
    Wrong
  • 2
    Half year
    Correct
    Wrong
  • 3
    2 years
    Correct
    Wrong
  • 4
    1 year
    Correct
    Wrong
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Answer : 2. "Half year"
Explanation :

Answer: B) Half year Explanation: 3300 ----- 3% ↑ (1st time interval, 99) → 3399. Here, time interval is given as half-yearly i.e. 6 months.

Q: Kalyan purchased a Maruti van for Rs. 1,96,000 and the rate of depreciation is 14(2/7) % per annum. Find the value of the van after two years ? 1502 0

  • 1
    Rs. 1,24,000
    Correct
    Wrong
  • 2
    Rs. 1,44,000
    Correct
    Wrong
  • 3
    Rs. 1,32,000
    Correct
    Wrong
  • 4
    Rs. 1,62,000
    Correct
    Wrong
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Answer : 2. "Rs. 1,44,000"
Explanation :

Answer: B) Rs. 1,44,000 Explanation: Value of Maruti Van, V1 = Rs. 1,96,000Rate of depreciation, r = 14(2/7)% = 100/7%; Time, t = 2 yearsLet V2 is the value after depreciation. V2 = V11 - r100tV2 = 196001 - 10071002 V2 = 196000(6/7)(6/7) V2 = (196000x36)/49 = Rs. 1,44,000.

Q: If 6 (P's Capital ) = 8 ( Q's Capital ) = 12 ( R's Capital ) , then out of the total profit of Rs 4650 , R will receive ? 1438 0

  • 1
    Rs. 1033.33
    Correct
    Wrong
  • 2
    Rs. 1024
    Correct
    Wrong
  • 3
    Rs. 1148.14
    Correct
    Wrong
  • 4
    Rs. 1245.32
    Correct
    Wrong
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Answer : 1. "Rs. 1033.33"
Explanation :

Answer: A) Rs. 1033.33 Explanation: Let P's capital = p, Q's capital = q and R's capital = r.Then 6p = 8q = 12r=> 3p = 4q = 6r=>q = 3p/4r = 3p/6 = p/2P : Q : R = p : 3p/4 : p/2= 4 : 3 : 2R's share = 4650 * (2/9) = 150*6 = Rs. 1033.33.

Q: A driver of auto rickshaw makes a profit of 20% on every trip when he carries 3 passengers and the price of petrol is Rs. 30 a litre. Find the % profit for the same journey if he goes for 4 passengers per trip and the price of petrol reduces to Rs. 24 litres ? 2269 0

  • 1
    68%
    Correct
    Wrong
  • 2
    80%
    Correct
    Wrong
  • 3
    75%
    Correct
    Wrong
  • 4
    100%
    Correct
    Wrong
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Answer : 4. "100%"
Explanation :

Answer: D) 100% Explanation: When 3 passengers income was 3xexpense= Rs.30 profit =20% of 30 = Rs.6 That means his earning is Rs.36. so that per passenger fare must be Rs.12. When 4 passengersearning = 12x4=Rs.48.expense =Rs.24.profit = Rs.24 = 100%

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Answer : 2. "If only I follows"
Explanation :

Answer: B) If only I follows Explanation: Once it is decided to place funds in the hands of the committee of local representatives, it is necessary to decide guidelines and norms for the functioning of the committee. Hence I follows. II is not related to the statement.

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