GATE Practice Question and Answer
8Q: How many three digit numbers 'abc' are formed where two of the three digits are same ? 1218 05b5cc701e4d2b4197774f1b7
5b5cc701e4d2b4197774f1b7- 1252false
- 2648false
- 3243true
- 4900false
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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 05b5cc701e4d2b4197774f1b2
5b5cc701e4d2b4197774f1b2- 128true
- 219false
- 337false
- 446false
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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 05b5cc701e4d2b4197774f17a
5b5cc701e4d2b4197774f17a- 1Rs. 2000true
- 2Rs. 2100false
- 3Rs. 1900false
- 4Rs. 2150false
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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 05b5cc701e4d2b4197774f175
5b5cc701e4d2b4197774f175- 1Quarter monthsfalse
- 2Half yeartrue
- 32 yearsfalse
- 41 yearfalse
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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 05b5cc701e4d2b4197774f170
5b5cc701e4d2b4197774f170- 1Rs. 1,24,000false
- 2Rs. 1,44,000true
- 3Rs. 1,32,000false
- 4Rs. 1,62,000false
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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 05b5cc6fee4d2b4197774f161
5b5cc6fee4d2b4197774f161- 1Rs. 1033.33true
- 2Rs. 1024false
- 3Rs. 1148.14false
- 4Rs. 1245.32false
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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 05b5cc6fee4d2b4197774f157
5b5cc6fee4d2b4197774f157- 168%false
- 280%false
- 375%false
- 4100%true
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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%
Q: Statement : The 'X' state government has chalked out a plan for the underdeveloped 'Y' district where 80% of the funds will be placed in the hands of a committee of local representatives. Courses of action : I. The 'X' state government should decide guidelines and norms for the functioning of the committee. II. Other state government may follow similar plan if directed by the Central government. 18203 05b5cc6fee4d2b4197774f125
5b5cc6fee4d2b4197774f125- 1If only II followsfalse
- 2If only I followstrue
- 3If either I or II followsfalse
- 4If neither I nor II followsfalse
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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.