GATE Practice Question and Answer
8Q: If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days what is time taken by 15 men and 20 boys? 2100 05b5cc6b9e4d2b4197774d72a
5b5cc6b9e4d2b4197774d72a- 14 daystrue
- 26 daysfalse
- 37 daysfalse
- 45 daysfalse
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Answer : 1. "4 days"
Explanation :
Answer: A) 4 days Explanation: Given that 6 men and 8 boys can do a piece of work in 10 days 26 men and 48 boys can do the same in 2 days As the work done is equal, 10(6M + 8B) = 2(26M + 48B) 60M + 80B = 52M + 96B => M = 2B => B = M/2 ……(1) Now Put (1) in 15M + 20B => 15M + 10M = 25M Now, 6M + 8B in 10 days => (6M + 4M) 10 = 100M Then D(25M) = 100M => D = 4 days.
Q: 5/9 of the part of the population in a village are females. If 30 % of the females are married. The percentage of unmarried males in the total males is ? 2099 05b5cc72ce4d2b4197774f7a1
5b5cc72ce4d2b4197774f7a1- 162.5 %true
- 2125 %false
- 384.32 %false
- 446.87 %false
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Answer : 1. "62.5 %"
Explanation :
Answer: A) 62.5 % Explanation: Let total population = p number of females = 5p/9number of males =(p-5p/9) = 4p/9married females = 30% of 5p/9 = 30x5p/100x9 = p/6married males = p/6unmarried males =(4p/9-p/6) = 5p/18Percentage of unmarried males in the total males = {(5p/18)/4p/9}x100 = (5p/18)x(9/4p) = 125/2 % = 62.5%
Q: Which vehicle is spelled the same forwards and backwards? 2098 05b5cc669e4d2b4197774bf57
5b5cc669e4d2b4197774bf57- Show AnswerHide Answer
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Answer :
Explanation :
Racecar and Civic are the two vehicles which spelled the same forwards an backwards.
Q: One fathom is equal to how many meters ? 2098 05b5cc6bee4d2b4197774d9b0
5b5cc6bee4d2b4197774d9b0- 11.7699false
- 22.0210false
- 31.8288true
- 42.1212false
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Answer : 3. "1.8288"
Explanation :
Answer: C) 1.8288 Explanation: One fathom = 1.8288 meters = 6 feet A fathom is a unit of length used especially for measuring the depth of water.
Q: The series of differences between consecutive prime numbers is represented as Cp1, Cp2, Cp3, .... Cpn , Whare Cp1 is the difference between the second and the first prime number. Find the sum of series when n = 23, given that the 23rd prime number is 83 ? 2096 05b5cc6fbe4d2b4197774f09f
5b5cc6fbe4d2b4197774f09f- 187true
- 281false
- 383false
- 485false
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Answer : 1. "87"
Explanation :
Answer: A) 87 Explanation: Cp1 = p2 - p1 , Cp2 = p3 - p2 ......Cp23 = p24 - p23Sum of series = (p2-p1) + (p3-p2) + .....(p23-p22) + (p24-p23)All terms get cancelled, except p1 = 2 and p24 = 89 So Sum = -p1 + p24Sum of series = -2 + 89 = 87
Q: The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year ? 2095 05b5cc6e1e4d2b4197774ebf7
5b5cc6e1e4d2b4197774ebf7- 1Rs. 1100false
- 2Rs. 1200true
- 3Rs. 1000false
- 4Rs. 1840false
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Answer : 2. "Rs. 1200"
Explanation :
Answer: B) Rs. 1200 Explanation: P --- 10 ----- 600 P --- 5 ----- 300 3P --- 5 ----- 900 __________ 1200
Q: Which of the following statements is correct? 2093 05b5cc6afe4d2b4197774d20b
5b5cc6afe4d2b4197774d20b- 1I am very happy to start this Programtrue
- 2I am too happy to start this Programfalse
- 3Both A & Bfalse
- 4Nonefalse
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Answer : 1. "I am very happy to start this Program"
Explanation :
Answer: A) I am very happy to start this Program Explanation: Here I am very happy to start this Program is correct statement. "Too" is not used with pleasant adjectives. It means 'more than required' and is usually used with unpleasant adjectives. So, 'too healthy', 'too happy', 'too glad' etc are wrong.
Q: Twelve percent of Kalyan's monthly salary is equal to the sixteen per cent of Nandu's monthly salary. Sarnesh's monthly salary is half that of Nandu's monthly salary. If sarnesh's annual salary is Rs. 1.08 lacs, What is Kalyan's monthly salary ? 2092 05b5cc72ce4d2b4197774f746
5b5cc72ce4d2b4197774f746- 115,000false
- 236,000false
- 324,000true
- 412,500false
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Answer : 3. "24,000"
Explanation :
Answer: C) 24,000 Explanation: Let K = Kalyan's monthly salaryN = Nandu's monthly salaryS = Sarnesh's monthly salary.Then from given data, 12% of K = 16% of NS = N/2 => N = 2SK = 16/12 x N = 16/12 x 2S= 16/6 x 1.08/12 = 16/6 x 0.09 = 0.24 lacs = 24,000

