GATE Practice Question and Answer
8Q: A shopkeeper sells two articles at Rs.1000 each, making a profit of 30% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes ? 1670 05b5cc6e2e4d2b4197774ec20
5b5cc6e2e4d2b4197774ec20- 10.85 %false
- 20.95 %true
- 31.0 %false
- 41.3 %false
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Answer : 2. "0.95 %"
Explanation :
Answer: B) 0.95 % Explanation: SP of first article = 1000Profit = 30%CP = (SP)x[100/(100+P)] = 10000/13 SP of second article = 1000Loss = 20%CP = (SP)x[100/(100-L)] = 5000/4 = 1250 Total SP = 2000 Total CP = 10000/13 + 1250 = 2019.23 CP is more than SP, he makes a loss. Loss = CP-SP = 2019.23 - 2000 = 19.23Loss Percent = [(19.23)/(2019.23)]x100 = 0.95 %.
Q: Four person A, B, C and D. The sum of their present age is 176. Four years ago ratio of their age was 11: 9 : 6 : 14, then find who is eldest and youngest among them ? 1669 05b5cc6c1e4d2b4197774db82
5b5cc6c1e4d2b4197774db82- 1A is eldest & C is youngestfalse
- 2D is eldest & C is youngesttrue
- 3C is eldest & A is youngestfalse
- 4A is eldest & B is youngestfalse
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Answer : 2. "D is eldest & C is youngest"
Explanation :
Answer: B) D is eldest & C is youngest Explanation: Given sum of present ages of A, B, C & D A + B + C + D = 176 and also given that, (A-4) : (B-4) : (C-4) : (D-4) = 11 : 9 : 6 : 14 Let the ratio = x => A-4 + B-4 + C-4 + D-4 = 11x + 9x + 6x + 14x => (A + B + C + D ) - 16 = 40x => 176 - 16 = 40x => x = 4 => A = 44 + 4 = 48 => B = 40 => C = 28 => D = 60 Therefore, from the above conclusions D is eldest with 60 years and C is youngest with 28 years of ages.
Q: A train 125 m long passes a man, running at 4 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is: 1669 05b5cc6d6e4d2b4197774e65b
5b5cc6d6e4d2b4197774e65b- 149 kmphtrue
- 250 kmphfalse
- 351 kmphfalse
- 452 kmphfalse
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Answer : 1. "49 kmph"
Explanation :
Answer: A) 49 kmph Explanation: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) x (18/5)] km/hr = 45 km/hr. Let the speed of the train be 'x' km/hr. Then, relative speed = (x - 4) km/hr. x - 4 = 45 => x = 49 km/hr.
Q: The difference between simple interest and compound interest of a certain sum of money at 20% per annum for 2 years is Rs. 56. Then the sum is : 1669 05b5cc6afe4d2b4197774d269
5b5cc6afe4d2b4197774d269- 1Rs. 3680false
- 2Rs. 2650false
- 3Rs. 1400true
- 4Rs. 1170false
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Answer : 3. "Rs. 1400"
Explanation :
Answer: C) Rs. 1400 Explanation: We know thatThe Difference between Compound Interest and Simple Interest for n years at R rate of interest is given by C.In - S.In = PR100n Here n = 2 years, R = 20%, C.I - S.I = 56 56 = P201002=> P = 56 x 52=> P = 56 x 25=> P = Rs. 1400
Q: In one year, the Amount collected for social welfare, of a village increased by 10% and in the next year, it decreased by 10%. If at the end of 2nd year, the amount was 7920, what was it in the beginning ? 1668 05b5cc6d8e4d2b4197774e773
5b5cc6d8e4d2b4197774e773- 18800false
- 28650false
- 38000true
- 48980false
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Answer : 3. "8000"
Explanation :
Answer: C) 8000 Explanation: Let the amount collected be 'A'Then, from the given conditions,A x 110/100 x 90/100 = 7920 A x 0.99 = 7920 A = 7920/0.99=> 8000
Q: A Bus is running at 9/10 of its own speed reached a place in 22 hours. How much time could be saved if the bus would run at its own speed ? 1668 05b5cc6dde4d2b4197774ea00
5b5cc6dde4d2b4197774ea00- 11.5 hrsfalse
- 21.7 hrsfalse
- 32.2 hrstrue
- 43.5 hrsfalse
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Answer : 3. "2.2 hrs"
Explanation :
Answer: C) 2.2 hrs Explanation: Let the original Speed be "s" kmphAnd the usual time be "t" hrsGiven that if the bus is running at 9s/10 kmph the time is 22 hrs=> [9s/10] x 22 = t x s=> 99/5 = t => t = 19.8 hrs Hence, if bus runs at its own speed, the time saved = 22 - 19.8 = 2.2 hrs.
Q: The mean of 100 observations is 40. It is found that an observation 84 was misread as 48. Then the correct mean is ? 1667 05b5cc6c0e4d2b4197774dab2
5b5cc6c0e4d2b4197774dab2- 140.36true
- 241.24false
- 341.92false
- 442.05false
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Answer : 1. "40.36"
Explanation :
Answer: A) 40.36 Explanation: Given, mean of 100 observations is 40 => Total of 100 observations = 40 x 100 = 4000 84 is misread as 48 => Difference = 84 - 48 = 36 => Now, new total of 100 observations = 4000 + 36 = 4036 Correct Mean = 4036/100 = 40.36
Q: Guess the Hiding Letter ? 1667 05b5cc6d2e4d2b4197774e462
5b5cc6d2e4d2b4197774e462- 1Dfalse
- 2Kfalse
- 3Lfalse
- 4Gtrue
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Answer : 4. "G"
Explanation :
Answer: D) G Explanation: Starting from letter 'S' add 5 in the clock wise direction to get the next letter in English alphabets. Here S + 5 => 19 + 5 = 24 => X X + 5 = 24 + 5 = 3 => C Similarly, B + 5 = G