GATE Practice Question and Answer
8Q: What will come in place of question mark (?) in the following number series? 4, 3, 4, 7, 15, ? 1118 05b5cc6c5e4d2b4197774dde6
5b5cc6c5e4d2b4197774dde6- 142false
- 244true
- 353false
- 456false
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Answer : 2. "44"
Explanation :
Answer: B) 44 Explanation: 4 3 4 7 15 ? ×1-1 ×1+1 ×2-1 ×2+1 ×3-1 15x3 - 1 = 45 - 1 = 44
Q: Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 4 or 15 ? 1118 05b5cc741e4d2b4197774f9d6
5b5cc741e4d2b4197774f9d6- 16/19false
- 23/10true
- 37/10false
- 46/17false
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Answer : 2. "3/10"
Explanation :
Answer: B) 3/10 Explanation: Here, S = {1, 2, 3, 4, ...., 19, 20}=> n(s) = 20Let E = event of getting a multiple of 4 or 15 =multiples od 4 are {4, 8, 12, 16, 20}And multiples of 15 means multiples of 3 and 5= {3, 6 , 9, 12, 15, 18, 5, 10, 15, 20}.= the common multiple is only (15).=> E = n(E)= 6Required Probability = P(E) = n(E)/n(S) = 6/20 = 3/10.
Q: A can complete a piece of work in 12 days and B is 60% more efficient than A. In how many days B will complete the same work ? 1117 05b5cc6dde4d2b4197774ea05
5b5cc6dde4d2b4197774ea05- 18.7 hrsfalse
- 25.2 hrsfalse
- 35 hrsfalse
- 47.5 hrstrue
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Answer : 4. "7.5 hrs"
Explanation :
Answer: D) 7.5 hrs Explanation: Ratio of times taken by A and B = 160 : 100A can do the work in 12 daysLet B can do the work in "D" days=> 160:100 = 12 : D=> D = 12 x 100/160 = 7.5 hrs
Q: Multiplicative inverse of 7? 1111 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: Which results from an increase in the greenhouse effect? 1109 05b5cc658e4d2b4197774bdae
5b5cc658e4d2b4197774bdae- 1Ocean acidificationfalse
- 2Smog pollutionfalse
- 3Ozone depletionfalse
- 4All the abovetrue
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Answer : 4. "All the above"
Explanation :
Answer: D) All the above Explanation: A greenhouse gas (GHG) is any gas in the atmosphere that absorbs and emits radiation in the thermal infrared range. The increase in average global temperatures that results from an enhanced greenhouse effect. Effects of increased greenhouse gas emissions: Increases in the different greenhouse gases have other effects apart from global warming including ocean acidification, smog pollution, ozone depletion as well as changes to plant growth and nutrition levels.
Q: A man can row 8 kmh in still water. If the river is running at 2 kmh, it takes 4 hrs more upstream than to go downstream for the same distance. Then the distance is given by 1107 05b5cc6c8e4d2b4197774df00
5b5cc6c8e4d2b4197774df00- 154 kmsfalse
- 232 kmsfalse
- 345 kmsfalse
- 460 kmstrue
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Answer : 4. "60 kms"
Explanation :
Answer: D) 60 kms Explanation: Let the distance be d. d8-2-d8+2 = 4 => 2d = 120 => d = 60 kms.
Q: Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case ? 1107 05b5cc6dae4d2b4197774e8cd
5b5cc6dae4d2b4197774e8cd- 11020false
- 21040false
- 31060false
- 41022true
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Answer : 4. "1022"
Explanation :
Answer: D) 1022 Explanation: Lowest 4-digit number is 1000.LCM of 3, 4 and 5 is 60.Dividing 1000 by 60, we get the remainder 40. Thus, the lowest 4-digit number that exactly divisible by 3, 4 and 5 is 1000 + (60 - 40) = 1020.Now, add the remainder 2 that's required. Thus, the answer is 1022.
Q: There is a 3 digited number. 3rd digit is the square root of the 1st digit. 2nd digit is the sum of 1st and 3rd. And that number is divisible by 2,3,6,7. What is that number? 1107 05b5cc715e4d2b4197774f40e
5b5cc715e4d2b4197774f40e- 1121false
- 2943false
- 3462true
- 4Nonefalse
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Answer : 3. "462"
Explanation :
Answer: C) 462 Explanation: Assume that the number is taken as XYZ.Condition 1 => Z = sq.root(x) => Possible digits of X is 1,4,9Condition 2 => Y = X + ZX Y Z1 2 14 6 29 12 3 => (wrong because it is 4 digit.) and 121 is not divisible by 2 The answer is 462.