GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: X can complete the work in 10 days, Y can do the same in 15 days. If they are hired for 5 days to do the work together, what is the work that left unfinished? 2049 05b5cc6bfe4d2b4197774da0a
5b5cc6bfe4d2b4197774da0a- 11/3false
- 22/3false
- 31/6true
- 45/6false
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उत्तर : 3. "1/6"
व्याख्या :
Answer: C) 1/6 Explanation: Given X can do in 10 days => 1 day work of X = 1/10 Y can do in 15 days => 1 day work of Y = 1/15 1day work of (X + Y) = 1/10 + 1/15 = 1/6 Given they are hired for 5 days => 5 days work of (X + Y) = 5 x 1/6 = 5/6 Therefore, Unfinished work = 1 - 5/6 = 1/6
प्र: Kamal consistently runs 240 meters a day and on Saturday he runs for 400 meters. How many kilometers will he have to run in four weeks ? 2049 05b5cc6c5e4d2b4197774dd23
5b5cc6c5e4d2b4197774dd23- 15.75 kmsfalse
- 27.36 kmstrue
- 38.2 kmsfalse
- 46.98 kmsfalse
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उत्तर : 2. "7.36 kms"
व्याख्या :
Answer: B) 7.36 kms Explanation: Total running distance in four weeks = (24 x 240) + (4 x 400) = 5760 + 1600 = 7360 meters = 7360/1000 => 7.36 kms
प्र: Which of the following has the highest frequency? 2049 05b5cc698e4d2b4197774c62c
5b5cc698e4d2b4197774c62c- 1Cosmic raystrue
- 2X-raysfalse
- 3Radio wavesfalse
- 4Microwavesfalse
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उत्तर : 1. "Cosmic rays"
व्याख्या :
Answer: A) Cosmic rays Explanation:
प्र: Rajeev's age after 15 years will be 5 times his age 5 years back. What is the present age of rajeev? 2047 05b5cc655e4d2b4197774bd70
5b5cc655e4d2b4197774bd70- 112false
- 214false
- 322false
- 410true
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उत्तर : 4. "10"
व्याख्या :
Answer: D) 10 Explanation: Let Rajeev's present age be x years. Rajeev's age after 15 years = (x + 15) years. Rajeev's age 5 years back = (x - 5) years Then ATQ, x + 15 = 5 (x - 5) x + 15 = 5x - 25 => x = 10 Hence, Rajeev's present age = x = 10 years.
प्र: The cost of 7 tables and 12 chairs is Rs 48,250. What is the cost of 21 tables and 36 chairs ? 2044 05b5cc718e4d2b4197774f4cc
5b5cc718e4d2b4197774f4cc- 1Rs. 1,44,750true
- 2Rs. 2,35,745false
- 3Rs. 89,489false
- 4Rs.74,256false
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उत्तर : 1. "Rs. 1,44,750"
व्याख्या :
Answer: A) Rs. 1,44,750 Explanation: 3T+12C = 48,250----(1) 21T+36C = ? multiply eq (1) with 3i.e,, 3(7T+12C) = 48,250*321T+36C = 1,44,750/-
प्र: Which of the following is not a function of cytoskeleton in a cell ? 2043 05b5cc67ee4d2b4197774c279
5b5cc67ee4d2b4197774c279- 1Maintenance of cell shape and structurefalse
- 2Intracellular transporttrue
- 3Cell motilityfalse
- 4Support of the organellefalse
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उत्तर : 2. "Intracellular transport"
व्याख्या :
Answer: B) Intracellular transport Explanation: A cytoskeleton is the frame that gives shape to a cell. And also it offers support, and facilitates movement through three main components: microfilaments, intermediate filaments, and microtubules. The cytoskeleton helps the cell move in its environment and controls the movement of all of the cell's interior workings.
प्र: Sonika invested an amount of Rs.5800 for 2 years. At what rate of compound interest will she get an amount of Rs.594.50 at the end of 2 years ? 2043 05b5cc73ae4d2b4197774f89c
5b5cc73ae4d2b4197774f89c- 16.5%false
- 26%false
- 35%true
- 44.5%false
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उत्तर : 3. "5%"
व्याख्या :
Answer: C) 5% Explanation: C.I = P1+r100t-1 594.5 = 58001+r1002-1 594.55800+1=1+r1002 r100=1.05-1=0.05=> r = 5 % .
प्र: Two pipes A and B can fill a tank in 16 hrs and 12 hrs respectively. The capacity of the tank is 240 liters. Both the pipes are opened simultaneously and closed after 2 hrs. How much more water need to fill the tank? 2042 05b5cc6bbe4d2b4197774d802
5b5cc6bbe4d2b4197774d802- 170 litfalse
- 2170 littrue
- 390 litfalse
- 4190 litfalse
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उत्तर : 2. "170 lit"
व्याख्या :
Answer: B) 170 lit Explanation: Given A alone can fill the tank of capacity 240 lit in 16 hrs. => A can fill in 1 hr = 240/16 = 15 lit => B alone can fill the tank of capacity 240 lit in 12 hrs. => B can fill in 1 hr = 240/12 = 20 lit Now, (A + B) in 1 hr = 15 + 20 = 35 lit But they are opened for 2 hrs => 2 x 35 = 70 lit rae filled Remaining water to be filled in tank of 240 lit = 240 - 70 = 170 lit.