GATE Practice Question and Answer
8Q: 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 ? 955 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 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 954 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: A town having teenagers(boys & girls) of 5000 requires 150 litre of water per head. It has a tank measuring 20 m × 15 m × 5 m. The water of this tank will sufficient for ____ days. 953 05b5cc6c5e4d2b4197774dd82
5b5cc6c5e4d2b4197774dd82- 18false
- 26false
- 34false
- 42true
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Answer : 4. "2"
Explanation :
Answer: D) 2 Explanation: Total Water reqduired = 5000 × 150 lit = 750,000 litres = 750 cu.m. Volume of tank = 20 × 15 × 5 = 1500 Cu.m. Number of days required =1500/750 = 2 days.
Q: Praveena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest ? 953 05b5cc6e7e4d2b4197774edab
5b5cc6e7e4d2b4197774edab- 16true
- 27false
- 39false
- 411false
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Answer : 1. "6"
Explanation :
Answer: A) 6 Explanation: Let rate = R% and time = R years. Then, (1200 x R x R) / 100 = 432 => R = 6.
Q: Everyone has it and no one can lose it. What is it? 952 05b5cc69fe4d2b4197774ca1e
5b5cc69fe4d2b4197774ca1e- 1Facefalse
- 2Teethfalse
- 3Hairfalse
- 4Shadowtrue
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Answer : 4. "Shadow"
Explanation :
Answer: D) Shadow Explanation:
Q: Which international organization has declared 2017 as the “International Year of Sustainable Tourism for Development”? 949 05b5cc771e4d2b4197774ffa8
5b5cc771e4d2b4197774ffa8- 1Asian Development Bank (ADfalse
- 2B) World Trade Organisation (WTO)false
- 3United Nations (UN)true
- 4International Monetary Fund (IMF)false
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Answer : 3. "United Nations (UN)"
Explanation :
Answer: C) United Nations (UN) Explanation: The United Nations (UN) has declared 2017 as the "International Year of Sustainable Tourism for Development" to celebrate and advance the commitment of the tourism division to building a superior world.The International Year aims to support a change in policies, business practices and consumer behavior towards a more sustainable tourism sector that can contribute effectively to the Sustainable Development Goals (SDGs).
Q: 3/8 as a decimal 944 05b5cc658e4d2b4197774bda4
5b5cc658e4d2b4197774bda4- 11.375false
- 22.375false
- 30.375true
- 43.75false
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Answer : 3. "0.375"
Explanation :
Answer: C) 0.375 Explanation: Expressing 3/8 as a decimal fraction: We can convert 3/8 into a decimal fraction by just dividing 3 by 8 or making 3 into 8 parts. Then, it is 3/8 = 0.375 as a decimal fraction. Other Method:: 3/8 as a Decimal : In this we should convert the denominator into 10, 100, 1000, 10000, 100000,... to make it simple. Now to make 8 into 1000, we multiply numerator and denominator with 125 => (3 x 125)/(8 x 125) = 375/1000 = 0.375.
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? 941 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.