GATE Practice Question and Answer
8Q: If the labour cost 20% of the cost of production and raw material cost 10% of the cost of production and the price on which article is sold is 20% above the cost of production. If the price of labour is increased by 40% and the price of raw material increased by 20% and rest other expenditure of cost remain constant. The industry thus decide to increase the selling price by 10%. Find the new profit percent ? 1891 05b5cc6c7e4d2b4197774de78
5b5cc6c7e4d2b4197774de78- 118%false
- 220%true
- 322%false
- 424%false
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Answer : 2. "20%"
Explanation :
Answer: B) 20% Explanation: Let the Cost of Production of the article = 100 Then, Labour Cost = 20 Raw Material = 10 Other Expenditure = 100 - 10 – 20 = 70 Selling Price of the article = 120 After increasing Labour and Raw material cost by 40% & 20% respectively, New Labour cost = 28 New Raw material cost = 12 New Cost of Production = 70 + 28 + 12 = 110 Then, New SP = 110% of 120 = 120 x 110/100 = 132 => New Gain = 132 - 110 = 22 => New Profit % = 22 x 100/110 = 20%
Q: An object at rest may have 1890 05b5cc622e4d2b4197774b802
5b5cc622e4d2b4197774b802- 1Momentumfalse
- 2Potential energytrue
- 3Velocityfalse
- 4Kinetic energyfalse
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Answer : 2. "Potential energy"
Explanation :
Answer: B) Potential energy Explanation: An object at rest may have Potential energy.
Q: 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? 1889 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: A letter is takenout at random from 'ASSISTANT' and another is taken out from 'STATISTICS'. The probability that they are the same letter is : 1889 05b5cc7d0e4d2b41977751213
5b5cc7d0e4d2b41977751213- 135/96false
- 219/90true
- 319/96false
- 4None of thesefalse
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Answer : 2. "19/90"
Explanation :
Answer: B) 19/90 Explanation: ASSISTANT→AAINSSSTT STATISTICS→ACIISSSTTT Here N and C are not common and same letters can be A, I, S, T. Therefore Probability of choosing A = 2C19C1×1C110C1 = 1/45 Probability of choosing I = 19C1×2C110C1 = 1/45 Probability of choosing S = 3C19C1×3C110C1 = 1/10 Probability of choosing T = 2C19C1×3C110C1 = 1/15 Hence, Required probability = 145+145+110+115= 1990
Q: Sixty men can stitch 150 shirts in 30 days working 8 hours a day. In how many days can 35 men stitch 200 shirts working 6 hours a day ? 1888 05b5cc6dce4d2b4197774e9c9
5b5cc6dce4d2b4197774e9c9- 187.5false
- 289false
- 391.5true
- 493.5false
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Answer : 3. "91.5"
Explanation :
Answer: C) 91.5 Explanation: We have M1 D1 H1 / W1 = M2 D2 H2 / W2 (Variation rule)(60 x 30 x 8)/ 150 = (35 x D2 x 6) / 200 D2 = (60 x 30 x 8 x 200) / (150 x 35 x 6) => D2 = 91.42 days =~ 91.5 days.
Q: Choose apropriate words which gives a complete meaning to the sentence from the given options. we were thinking ______ it _______ something like a requiem for our age. 1887 05b5cc741e4d2b4197774f9c7
5b5cc741e4d2b4197774f9c7- 1for, becausefalse
- 2for, asfalse
- 3of, astrue
- 4of, sincefalse
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Answer : 3. "of, as"
Explanation :
Answer: C) of, as Explanation:
Q: K is 4 times as fast as L and working together, they can complete a work in 24 days. In how many days can L alone complete the work ? 1887 05b5cc774e4d2b4197775003e
5b5cc774e4d2b4197775003e- 130 daystrue
- 240 daysfalse
- 3120 daysfalse
- 480 daysfalse
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Answer : 1. "30 days"
Explanation :
Answer: A) 30 days Explanation: Given K=4L -->K+L = 4L+L = 5L These 5L people can complete the work in 24 days, which means L alone can do the work in (24 x 5)=120 days. Hence, K alone can do the work in 120/4= 30 days.
Q: Who is known as the Father of Geometry? 1885 05b5cc6a0e4d2b4197774ca4c
5b5cc6a0e4d2b4197774ca4c- 1Aryabhatafalse
- 2Thales of Miletusfalse
- 3Pythagoras of Samosfalse
- 4Euclidtrue
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Answer : 4. "Euclid"
Explanation :
Answer: D) Euclid Explanation: Euclid of Alexandria was a Greek mathematician, often referred to as the Father of Geometry.