GATE Practice Question and Answer
8Q: 3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ? 5760 05b5cc6e5e4d2b4197774ecfc
5b5cc6e5e4d2b4197774ecfc- 16false
- 29false
- 35false
- 47true
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Answer : 4. "7"
Explanation :
Answer: D) 7 Explanation: Let 1 woman's 1 day work = x. Then, 1 man's 1 day work = x/2 and 1 child's 1 day work x/4. So, (3x/2 + 4x + + 6x/4) = 1/7 28x/4 = 1/7 => x = 1/49 1 woman alone can complete the work in 49 days. So, to complete the work in 7 days, number of women required = 49/7 = 7.
Q: The Manager of a company accepts only one employees leave request for a particular day. If five employees namely Roshan, Mahesh, Sripad, Laxmipriya and Shreyan applied for the leave on the occasion of Diwali. What is the probability that Laxmi priya’s leave request will be approved ? 5739 05b5cc741e4d2b4197774f97c
5b5cc741e4d2b4197774f97c- 11false
- 21/5true
- 35false
- 44/5false
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Answer : 2. "1/5"
Explanation :
Answer: B) 1/5 Explanation: Number of applicants = 5On a day, only 1 leave is approved.Now favourable events = 1 of 5 applicants is approvedProbability that Laxmi priya's leave is granted = 1/5.
Q: One year ago the ratio between Maneela’s and Shanthi’s salary was 3 : 4. The ratios of their individual salaries between last year’s and this year’s salaries are 4 : 5 and 2 : 3 respectively. At present the total of their salary is Rs. 4160. The salary of Maneela, now is? 5699 05b5cc678e4d2b4197774c165
5b5cc678e4d2b4197774c165- 1Rs. 1600true
- 2Rs. 1700false
- 3Rs. 1800false
- 4Rs. 1900false
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Answer : 1. "Rs. 1600"
Explanation :
Answer: A) Rs. 1600 Explanation: Let the salaries of Maneela and Shanthi one year before be M1, S1 & now be M2, S2 respectively. Then, from the given data, M1/S1 = 3/4 .....(1) M1/M2 = 4/5 .....(2) S1/S2 = 2/3 .....(3) and M2 + S2 = 4160 .....(4) Solving all these eqtns, we get M2 = Rs. 1600.
Q: Find the wrong number from the following series ?37 47 52 67 87 112 142 5681 05b5cc736e4d2b4197774f837
5b5cc736e4d2b4197774f837- 187false
- 247true
- 352false
- 467false
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Answer : 2. "47"
Explanation :
Answer: B) 47 Explanation: The given series follows the rule,+(5x1), +(5x2), +(5x3), +(5x4), +(5x5),.... So starting from 37, 37 + 5 = 42, 42 + 10 = 52, 52 + 15 = 67, 67 + 20 = 87,...So wrong number is 47 which is to be 42.
Q: Statement: Huge amount of resources are required to develop tourist places in a country like India, which is endowed with vast coastlines, rivers, forests, temples etc. Courses of action:a. More tourist resorts along the coastlines only should be started.b. The tourist potential of India should be exploited. 5650 05b5cc76ae4d2b4197774fe75
5b5cc76ae4d2b4197774fe75- 1Only b followstrue
- 2Only a followsfalse
- 3Both a & b followsfalse
- 4Neither a nor b followsfalse
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Answer : 1. "Only b follows"
Explanation :
Answer: A) Only b follows Explanation: As in the given statement, India is already endowed with tourist spots. Therefore, the existing potential should be exploited.
Q: The process of collecting, organizing and analyzing data is called 5638 05b5cc694e4d2b4197774c47f
5b5cc694e4d2b4197774c47f- 1Statisticstrue
- 2Data collectionfalse
- 3Probabilityfalse
- 4Systematic evaluationfalse
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Answer : 1. "Statistics"
Explanation :
Answer: A) Statistics Explanation: The process of collecting, organizing and analyzing data is called Statistics.
Q: Find the missing term in the following series ? 10000, 11000, 9900, 10890, ?, 10781 5599 05b5cc758e4d2b4197774fbdf
5b5cc758e4d2b4197774fbdf- 110423false
- 29801true
- 310241false
- 49712false
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Answer : 2. "9801"
Explanation :
Answer: B) 9801 Explanation: Clearly, alternatively we add and subtract 10% of a term to obtain the next term of the series.Thus, 10000 + (10% of 10000)= 11000; 11000 - (10% of 11000) = 9900; 9900 + (10% of 9900) = 10890; 10890 - (10% of 10890) = 9801. 9801 + (10% of 9801) = 9801+980 = 10781.So, missing term = 10890- (10% of 10890)= 9801.
Q: A person is asked to put in a basket one apple when ordered 'one', one guava when ordered 'two', one orange whe ordered 'three' and is asked to take out from the basket one apple and one guava both when ordered 'four'. The ordered sequence executed by the person is as follows : 1 2 3 3 2 1 4 2 3 1 4 2 2 3 3 1 4 1 1 3 2 3 4 1. How many apples will be there in the basket at the end of the above order sequence ? (a) 4 (b) 3 (c) 2 (d) 1 2. How many fruits will be there in the basket at the end of the above order sequence ? (a) 13 (b) 17 (c) 9 (d) 11 5569 05b5cc754e4d2b4197774fbc3
5b5cc754e4d2b4197774fbc3- Show AnswerHide Answer
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Answer :
Explanation :
1. Answer (c) Each time we order 1, one apple is added to the basket but each time when 4 is ordered, one apple is removed from it. Required number of apples = number of 1's - number of 4's = 6 - 4 = 2 2. Answer (d) Each time we order 1, 2 or 3, one fruit is added to the basket but when ever we order 4, two fruits are removed from it. Required number = Number of 1's + Number of 2's + Number of 3's - 2 x (Number of 4's) = 6 + 6 + 7 - (2x4) = 19 - 8 = 11.