GATE Practice Question and Answer
8Q: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train? 1384 05b5cc6bee4d2b4197774d97e
5b5cc6bee4d2b4197774d97e- 127 7/9 mtstrue
- 225 8/7 mtsfalse
- 321 1/4 mtsfalse
- 422 mtsfalse
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Answer : 1. "27 7/9 mts"
Explanation :
Answer: A) 27 7/9 mts Explanation: Relative speed = (40 - 20) km/hr = 20 x 5 m/sec = 50 m/sec. 18 9 Length of faster train = 50 x 5 m = 250 m = 27 7 m. 9 9 9
Q: Atomic mass of first 30 elements? 1384 05b5cc632e4d2b4197774b9d5
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Answer :
Explanation :
Here I give you the first 30 Atomic elements names and their Atomic masses. Atomic number Element Atomic mass 1 Hydrogen 1 2 Helium 4 3 Lithium 6.94 4 Beryllium 9.01 5 Boron 10.81 6 Carbon 12.01 7 Nitrogen 14.01 8 Oxygen 15.99 9 Fluorine 19.00 10 Neon 20.18 11 Sodium 22.99 12 Magnesium 25.31 13 Aluminium 26.98 14 Silicon 28.09 15 Phosphorus 30.97 16 Sulphur 32.07 17 Chlorine 35.45 18 Argon 39.95 19 Potassium 39.10 20 Calcium 40.08 21 Scandium 44.96 22 Titanium 47.87 23 Vanadium 50.94 24 Chromium 24. 52 25 Manganese 54.94 26 Iron 55.85 27 Cobalt 58.93 28 Nickel 58.69 29 Copper 63.55 30 Zinc 65.41
Q: Multiplicative inverse of 7? 1382 05b5cc666e4d2b4197774bf08
5b5cc666e4d2b4197774bf08- 11false
- 2-1/7false
- 30false
- 41/7true
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Answer : 4. "1/7"
Explanation :
Answer: D) 1/7 Explanation: Multiplicative inverse is nothing but a reciprocal of a number. It is defined as one of a pair of numbers that when multiplied with another number equals the number 1. Multiplicative inverse or reciprocal of 7 is 7 x n = 1 => n = 1/7. Hence, Multiplicative inverse or reciprocal of 7 is 1/7.
Q: How can we get 24 as an answer by using 6, 11, 3 and 9? 1382 05b5cc6a9e4d2b4197774cf1e
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Answer :
Explanation :
This can be solved in two ways using only 6, 11, 9 and 3 we must get 24. 1. {[(11–6) x 3] + 9} By solving this we get 5 x 3 + 9 = 15 + 9 = 24. 2. [(9–6) x (11–3)] = 3 x 8 = 24.
Q: According to a report by New World Wealth, which is the richest city in the world 2018? 1381 05b5cc6a2e4d2b4197774cb3d
5b5cc6a2e4d2b4197774cb3d- 1Tokyofalse
- 2New Yorktrue
- 3Londonfalse
- 4Parisfalse
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Answer : 2. "New York"
Explanation :
Answer: B) New York Explanation: New York City, London, and Tokyo are the richest cities in the world 2018, according to their ranks.
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 ? 1380 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: A mother can do a certain job in x hours. Her daughter takes twice as long to do the job. Working together, they can do the job in 6 hours. How many hours does the mother take to do the job ? 1378 05b5cc6cfe4d2b4197774e2fe
5b5cc6cfe4d2b4197774e2fe- 13false
- 26false
- 39true
- 412false
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Answer : 3. "9"
Explanation :
Answer: C) 9 Explanation: The mother completes the job in x hours.So, the daughter will take 2x hours to complete the same job. In an hour, the mother will complete 1/x of the total job.In an hour, the daughter will complete 1/2x of the total job. So, if the mother and daughter work together, in an hour they will complete 1/x + 1/2x of the job.i.e., in an hour they will complete 3/2x of the job. The question states that they complete the entire task in 6 hours if they work together.i.e., they complete 1/6 th of the task in an hour. Equating the two information, we get 3/2x = 1/6By solving for x, we get 2x = 18 or x = 9. The mother takes 9 hours to complete the job.
Q: A simple interest earned on certain amount is triple the money when invested for 16 years.what is the interest rate offered ? 1378 05b5cc745e4d2b4197774fa13
5b5cc745e4d2b4197774fa13- 113.33 %false
- 214.25 %false
- 316.98 %false
- 418.75 %true
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Answer : 4. "18.75 %"
Explanation :
Answer: D) 18.75 % Explanation: Given,S.I = 3 Principal Amount=> 3A = A x 16 x R/100By solving, we get => R = 18.75%

