GATE Practice Question and Answer
8Q: The ratio of efficiencies of P, Q and R is 2 : 3 : 4. While P and R work on alternate days and Q work for all days. Now the work completed in total 10 days and the total amount they get is Rs. 1200. Find the amount of each person(respectively). 2072 05b5cc69de4d2b4197774c914
5b5cc69de4d2b4197774c914- 1200, 600, 400true
- 2400, 600, 200false
- 3600, 200, 400false
- 4400, 200, 600false
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Answer : 1. "200, 600, 400"
Explanation :
Answer: A) 200, 600, 400 Explanation: Ratio of efficiencies of P, Q and R = 2 : 3 : 4 From the given data, Number of working days of P, Q, R = 5 : 10 : 5 Hence, ratio of amount of p, Q, R = 2x5 : 3x10 : 4x5 = 10 : 30 : 20 Amounts of P, Q, R = 200, 600 and 400.
Q: If the given two numbers are respectively 7% and 28% of a third number, then what percentage is the first of the second ? 2070 05b5cc75ce4d2b4197774fc48
5b5cc75ce4d2b4197774fc48- 124%false
- 229%false
- 334%false
- 425%true
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Answer : 4. "25%"
Explanation :
Answer: D) 25% Explanation: Here, k = 7 and l = 28Therefore, first number = klx100 % of second number = 7/28 x 100% of second number = 25% of second number.
Q: There are six persons 1, 2, 3, 4, 5 and 6. 3 is the sister of 6. 2 is the brother of 5's husband. 4 is the father of 1 and grandfather of 6. There are two fathers, three brothers and a mother in the group. Which of the following is a group of brothers ? 2069 05b5cc76ae4d2b4197774fe56
5b5cc76ae4d2b4197774fe56- 11, 2, 3false
- 23, 2, 6false
- 31, 2, 4false
- 41, 2, 6true
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Answer : 4. "1, 2, 6"
Explanation :
Answer: D) 1, 2, 6 Explanation: 4 is father of 1 and grandfather of 6. So, 1 is father of 6. Thus, 4 and 1 are the two fathers. 3 is the sister of 6. So, 3 is the daughter of 1. Since there is only one mother, it is evident that 5 is the wife of 1 and hence the mother of 3 and 6. So, 2 is brother of 1. There are three brothers. So, 6 is the brother of 3. Hence, 2 and 1 are brothers. 6 is the brother of 3. So, three brothers are 1, 2, 6.
Q: A,B,C together can do a piece of work in 10 days.All the three started workingat it together and after 4 days,A left.Then,B and C together completed the work in 10 more days.In how many days can complete a work alone ? 2069 05b5cc70ee4d2b4197774f34c
5b5cc70ee4d2b4197774f34c- 125true
- 224false
- 323false
- 421false
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Answer : 1. "25"
Explanation :
Answer: A) 25 Explanation: (A+B+C) do 1 work in 10 days. So (A+B+C)'s 1 day work=1/10 and as they work together for 4 days so workdone by them in 4 days=4/10=2/5 Remaining work=1-2/5=3/5 (B+C) take 10 more days to complete 3/5 work. So( B+C)'s 1 day work=3/50 Now A'S 1 day work=(A+B+C)'s 1 day work - (B+C)'s 1 day work=1/10-3/50=1/25 A does 1/25 work in in 1 day Therefore 1 work in 25 days.
Q: Twenty men can do a work in eighteen days. Eighteen women can complete the same work in fifteen days. What is the ratio between the capacity of a woman and a man ? 2068 05b5cc774e4d2b4197775002a
5b5cc774e4d2b4197775002a- 14:5false
- 23:4false
- 34:3true
- 42:3false
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Answer : 3. "4:3"
Explanation :
Answer: C) 4:3 Explanation: (20 x 18) men can complete the work in in one day. one man's one day work = 1/360 (18 x 15) women can complete the work in 1 day 1 woman's one day work = 1/270 So, required ratio = 1270:1360= 4:3
Q: Milk is an example of a 2066 05b5cc651e4d2b4197774bd23
5b5cc651e4d2b4197774bd23- 1Emulsiontrue
- 2Solutionfalse
- 3Gelfalse
- 4Suspensionfalse
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Answer : 1. "Emulsion"
Explanation :
Answer: A) Emulsion Explanation: Milk is an emulsion of oil in water (o/w). Emulsion: A suspension of droplets of one liquid in another. Constituents of milk : The principal constituents of milk are water, fat, proteins, lactose (milk sugar) and minerals (salts). Milk also contains trace amounts of other substances such as pigments, enzymes, vitamins, phospholipids (substances with fatlike properties), and gases.
Q: How many degrees will the minute hand move, in the same time in which the second hand move 5400 ? 2065 05b5cc6e9e4d2b4197774ee29
5b5cc6e9e4d2b4197774ee29- 190 degreestrue
- 285 degreesfalse
- 360 degreesfalse
- 445 degreesfalse
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Answer : 1. "90 degrees"
Explanation :
Answer: A) 90 degrees Explanation: Minute hand covers 5400/60 = 90°
Q: If watches bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425. What is the greatest possible profit that might be made in selling nine watches ? 2062 05b5cc75ce4d2b4197774fc89
5b5cc75ce4d2b4197774fc89- 1Rs. 1800false
- 2Rs. 2000false
- 3Rs. 2025true
- 4Rs. 1750false
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Answer : 3. "Rs. 2025"
Explanation :
Answer: C) Rs. 2025 Explanation: Profit would be maximum if watches are brought for Rs. 200 and sold for Rs. 425Profit = Rs. (425 - 200) = Rs. 225Profit of 9 watches = Rs. 225 x 9 = Rs.2,025.