GATE Practice Question and Answer
8Q: An automobile financier claims to be lending money at S.I., but he includes the interest every six months for calculating the principal. If he is charging an interest of 8%, the effective rate of interest becomes ? 1070 05b5cc6dce4d2b4197774e96a
5b5cc6dce4d2b4197774e96a- 110.25 %false
- 28.16 %true
- 39.63 %false
- 40.16 %false
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Answer : 2. "8.16 %"
Explanation :
Answer: B) 8.16 % Explanation: Let the sum be Rs. 100. Then,S.I. for first 6 months = (100 x 8 x 1) / (100 x 2) = Rs. 4S.I. for last 6 months = (104 x 8 x 1) / (100 x 2) = Rs. 4.16So, amount at the end of 1 year = (100 + 4 + 4.16) = Rs. 108.16Effective rate = (108.16 - 100) = 8.16%.
Q: Work done in a free expansion process is 1069 05b5cc62fe4d2b4197774b990
5b5cc62fe4d2b4197774b990- 1Minimunfalse
- 20true
- 3Maximumfalse
- 4None of the abovefalse
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Answer : 2. "0"
Explanation :
Answer: B) 0 Explanation: No work done as there is no external external pressure in free expansion. Hence, Work done in a free expansion process is Zero.
Q: In a slip test, K got the 15th rank and he was 44th from the bottom of the list of passed students. 4 students did not take up the slip test and 3 students were failed. What is the total strenght of the class ? 1067 05b5cc6cee4d2b4197774e241
5b5cc6cee4d2b4197774e241- 163false
- 262false
- 364false
- 465true
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Answer : 4. "65"
Explanation :
Answer: D) 65 Explanation: Total strength of the class is given by 15 + 44 + 4 + 3 - 1 = 65
Q: A man has only 20-paise and 25-paise coins in a bag. If he has 50 coins in all totaling to Rs.10.25, then the number of 20-paise coins is 1067 05b5cc73ae4d2b4197774f8c4
5b5cc73ae4d2b4197774f8c4- 142false
- 245true
- 338false
- 436false
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Answer : 2. "45"
Explanation :
Answer: B) 45 Explanation: Let number of 20 ps coins = x and number of 25 ps coins = y Given total coins in the bag = 50 x + y = 50.......(1) But the total money in the bag = Rs. 10.25 0.20x + 0.25y = 10.25 20x + 25y = 1025.........(2) Now multiplying (1) by 25 we get 25x+25y=1250.............(3) By solving (2) and (3) 20x + 25y = 1025; => x = 45; Then, the no. of 20 ps coins are 45.
Q: You will always find me in the past. I can be created in the present, But the future can never taint me. What am I? 1062 05b5cc639e4d2b4197774baab
5b5cc639e4d2b4197774baab- Show Answer
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Answer :
Explanation :
I am History. Yes, history refers to all the past, but we can create history in the presentand it cannot be polluted in the future.
Q: Statement : The byproducts obtained from animals such as hairs, skins, horns, etc. contain at least 45 per cent food protein. Indian scientists have developed methods to segregate 50 per cent of this protein. They have used an enzyme developed in Russia for destruction of soya-proteins. Conclusions: A. Indian scientists cannot develop enzymes. B. If a suitable method involving less cost is developed then many more food protein would be obtained. 1061 05b5cc6d6e4d2b4197774e6a7
5b5cc6d6e4d2b4197774e6a7- 1Only A followsfalse
- 2Only B followsfalse
- 3Neither A nor B followstrue
- 4Both A & B followsfalse
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Answer : 3. "Neither A nor B follows"
Explanation :
Answer: C) Neither A nor B follows Explanation: There is no indication that Indian scientists are incapable of developing enzymes. There could be any number of reasons why Indian scientists used Russian enzymes. So conclusion A does not follow. In addition, cost is not discussed in the passage at all. There is no mention of a correlation between cost and extraction of proteins. Thus, conclusion B does not follow either.
Q: A can finish a work in 18 days and B can do the same work in half the time taken by A. then, working together, what part of the same work they can finish in a day ? 1059 05b5cc6dde4d2b4197774ea14
5b5cc6dde4d2b4197774ea14- 1Total workfalse
- 2One-fourth workfalse
- 3Half worktrue
- 4Two-third workfalse
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Answer : 3. "Half work"
Explanation :
Answer: C) Half work Explanation: A can do the work = 18 daysB can do the work = 18/2 = 9 days(A + B)'s 1 day work = 1/18 + 1/9 = 1/6=> In 3 days = 3x1/6 = 1/2 work is completed.
Q: A train is moving and crossing a man who is running on a platform of 100 m at a speed of 8 kmph in the direction of the train, in 9 sec. If the speed of the train is 74 kmph. Find the length of the train ? 1055 05b5cc6c3e4d2b4197774dc27
5b5cc6c3e4d2b4197774dc27- 1202 mtsfalse
- 2188 mtsfalse
- 3165 mtstrue
- 4156 mtsfalse
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Answer : 3. "165 mts"
Explanation :
Answer: C) 165 mts Explanation: Let the length of the train = L mts Relative speed of train and man = 74 - 8 = 66 kmph = 66 x 5/18 m/s => 66 x 5/18 = L/9 => L = 165 mts.