GATE Practice Question and Answer
8Q: Sony is one-fifth the age of her mother 15 years ago and Sony’s brother is three-fifth the age of his mother 10 years ago. If the sum of Sony and her brother’s ages is 31 then how old is Sony's mother ? 2626 05b5cc745e4d2b4197774fa04
5b5cc745e4d2b4197774fa04- 140false
- 250true
- 360false
- 470false
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Answer : 2. "50"
Explanation :
Answer: B) 50 Explanation: Sony and her brother's age sum is 31Let Sony's mother's age be 'x'.Now the conditions given for both of their ages related to their mom is1/5(x-15) + 3/5(x-10) = 31x-15 + 3x-30 = 1554x-45 = 1554x = 200x = 50So, Mother's age = 50. Cross verification : 15 years ago age = 35 => Sony age = 710 years ago age = 40 => bro age = 24 Sum = 24 + 7 = 31.
Q: Brass gets discoloured in air because of the presence of which of the following gases in air ? 2621 05b5cc6e0e4d2b4197774eb34
5b5cc6e0e4d2b4197774eb34- 1Hydrogen sulphidetrue
- 2Oxygenfalse
- 3Nitrogenfalse
- 4Carbon dioxidefalse
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Answer : 1. "Hydrogen sulphide"
Explanation :
Answer: A) Hydrogen sulphide Explanation:
Q: Ashwin fires two bullets from the same place at an interval of 15 minutes but Rahul sitting in a bus approaching the place hears the second sound 14 minutes 30 seconds after the first. If sound travels at the speed of 330 meter per second, what is the approximate speed of bus? 2620 05b5cc670e4d2b4197774c060
5b5cc670e4d2b4197774c060- 1330/29 m/strue
- 2330 x 30 m/sfalse
- 3330/14 m/sfalse
- 4330/900 m/sfalse
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Answer : 1. "330/29 m/s"
Explanation :
Answer: A) 330/29 m/s Explanation: Second gun shot take 30 sec to reach rahul imples distance between two. given speed of sound = 330 m/s Now, distance = 330 m/s x 30 sec Hence, speed of the bus = d/t = 330x30/(14x60 + 30) = 330/29 m/s.
Q: Two motor bikes cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower bike takes 1 hour more than the faster bike ? 2617 05b5cc6dce4d2b4197774e992
5b5cc6dce4d2b4197774e992- 11102 kmfalse
- 21060 kmfalse
- 3960 kmtrue
- 41250 kmfalse
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Answer : 3. "960 km"
Explanation :
Answer: C) 960 km Explanation: 60(x + 1) = 64x X = 15 60 x 16 = 960 km
Q: I. a2-7a+12 = 0, II. b2-3b+2 = 0 Solve both the equations to find the values of a and b ? 2617 05b5cc6e3e4d2b4197774eced
5b5cc6e3e4d2b4197774eced- 1if a > btrue
- 2if a < bfalse
- 3if the relationship between a and b cannot be established.false
- 4if a ≤ bfalse
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Answer : 1. "if a > b"
Explanation :
Answer: A) if a > b Explanation: I. (a - 3)(a - 4) = 0 => a = 3, 4 II. (b - 2)(b - 1) = 0 => b = 1, 2 => a > b
Q: Which of the following equations represents Photosynthesis? 2615 05b5cc6afe4d2b4197774d1c4
5b5cc6afe4d2b4197774d1c4- 16CO2 + 6H2O -----> C6H12O6 + 6O2true
- 2C6H12O6 + 6O2 -----> CO2 + 6H2Ofalse
- 3CO2 + H2O -----> C6H12O6 + 6O2false
- 46O2 + 6H2O -----> C6H12O6 + 6CO2false
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Answer : 1. "6CO2 + 6H2O -----> C6H12O6 + 6O2"
Explanation :
Answer: A) 6CO2 + 6H2O -----> C6H12O6 + 6O2 Explanation: Photosynthesis is a process used by plants and other organisms to convert light energy into chemical energy that can later be released to fuel the organisms activities. Photosynthesis can be represented using a chemical equation. The overall balanced equation is 6CO2 + 6H2O →Sunlight C6H12O6 + 6O2Source of Carbon & Oxygen + Source of Electrons & Hydrogen + Energy that drives Photosynthesis ----> Sugar + Gas produced by splitting water. Where CO2 = carbon dioxide H2O = waterC6H12O6 = glucose O2 = oxygen.
Q: The respective ratio between the speed of a bike, a van and lorry is 3 : 5 : 2. The speed of the van is 250 percent of the speed of the lorry which covers 360 km in 12 hours. What is the average speed of the bike and the van together? 2610 05b5cc6b2e4d2b4197774d397
5b5cc6b2e4d2b4197774d397- 160 kmphtrue
- 262 kmphfalse
- 364 kmphfalse
- 463 kmphfalse
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Answer : 1. "60 kmph"
Explanation :
Answer: A) 60 kmph Explanation: Speed of lorry = 36012 = 30 kmph Speed of van =250100 x 30 = 75 kmph Speed of bike = 35 x 75 = 45 kmph Therefore, now required average speed of bike and van = 75 + 452= 60 kmph.
Q: If k : l = 4 : 3 and l : m = 5 : 3, then find k : l : m ? 2610 05b5cc6dde4d2b4197774e9dd
5b5cc6dde4d2b4197774e9dd- 118 : 24 : 11false
- 29 : 15 : 1false
- 320 : 15 : 9true
- 421 : 7 : 3false
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Answer : 3. "20 : 15 : 9"
Explanation :
Answer: C) 20 : 15 : 9 Explanation: Given k : l = 4 : 3l : m = 5 : 3 Then k : l : m = 20 : 15 : 9