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 ? 1207 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: Simplify 413 + 215 + 414 = ? 1202 05b5cc6afe4d2b4197774d235
5b5cc6afe4d2b4197774d235- 110 47/60true
- 211 45/73false
- 311 47/36false
- 410 35/48false
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Answer : 1. "10 47/60"
Explanation :
Answer: A) 10 47/60 Explanation: The given equation is in Mixed fraction. Now to solve this type of fractions, 413 + 215 + 414 =?? = 4 + 2 + 4 + 13 + 15 + 14 ? = 10 + 4760? = 104760
Q: Which results in an increase in power? 1200 05b5cc669e4d2b4197774bf87
5b5cc669e4d2b4197774bf87- 1doing more work in less time.true
- 2doing less work in more time.false
- 3doing less work in less time.false
- 4doing more work in more time.false
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Answer : 1. "doing more work in less time."
Explanation :
Answer: A) doing more work in less time. Explanation: Doing more work in less time, results in an increase in power to do a work.
Q: In how many different ways could couples be picked from 6 men and 9 women ? 1200 05b5cc728e4d2b4197774f728
5b5cc728e4d2b4197774f728- 126false
- 254true
- 352false
- 428false
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Answer : 2. "54"
Explanation :
Answer: B) 54 Explanation: Number of mens = 8 Number of womens = 5 Different ways could couples be picked = C16× 9C1 = 9 x 6 = 54 ways.
Q: If everyone on the team is a veteran, what will you do to fit in ? 1200 05b5cc767e4d2b4197774fe21
5b5cc767e4d2b4197774fe21- Show AnswerHide Answer
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Answer :
Explanation :
This answer shows steps of becoming a team member that doesn't appear to be in training. It is describing ways to limit training times in meetings, and include that a new worker could benefit an existing team by making a list of ideas. Even if everyone is a veteran, I feel confident I can fit right in. I would prepare as much as I can by reading existing material to catch up on the project. I would plan for meetings by making a list of questions I have and finding the answers to these questions before the meeting. I would also create a list of ideas through the documents I have read. A fresh mind could help with creative solutions. I know that I would be required to study a lot in the beginning, but I would be able to do so at home or by working late in the office.
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 ? 1194 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.
Q: A train travelling at 48 kmph crosses another train, having half its length and travelling in opposite direction at 42 kmph, in 12 sec. It also covers a bridge in 45 sec. Find the length of the bridge ? 1193 05b5cc6c4e4d2b4197774dcc3
5b5cc6c4e4d2b4197774dcc3- 1250 mtsfalse
- 2400 mtstrue
- 3320 mtsfalse
- 4390 mtsfalse
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Answer : 2. "400 mts"
Explanation :
Answer: B) 400 mts Explanation: Let the length of the 1st train = L mts Speed of 1st train = 48 kmph Now the length of the 2nd train = L/2 mts Speed of 2nd train = 42 kmph Let the length of the bridge = D mts Distance = L + L/2 = 3L/2 Relative speed = 48 + 42 = 90 kmph = 90 x 5/18 = 25 m/s(opposite) Time = 12 sec => 3L/2x25 = 12 => L = 200 mts Now it covers the bridge in 45 sec => distance = D + 200 Time = 45 sec Speed = 48 x5/18 = 40/3 m/s => D + 200/(40/3) = 45 => D = 600 - 200 = 400 mts Hence, the length of the bridge = 400 mts.
Q: Find the Missing Numbers in the given Number Puzzle ? 1191 05b5cc6c9e4d2b4197774df74
5b5cc6c9e4d2b4197774df74- 1169 & 81true
- 267 & 121false
- 364 & 115false
- 470 & 110false
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Answer : 1. "169 & 81"
Explanation :
Answer: A) 169 & 81 Explanation: Observe that in each column, square of sum of digits in the first row = Respective second row elements. In the same way, square of sum of digits in the second row = Respective third row elements. => 6+42=102=100 => 4+92=132=169 => 8+12=92=81.

