GATE Practice Question and Answer
8Q: If the age of father is 4 years greater than the mother and 28 years greater than the son,then what is the age of the father? which one should be used to calculate the age ? 1669 05b5cc6f4e4d2b4197774eff0
5b5cc6f4e4d2b4197774eff0- 1mother/son = Non-prime numberfalse
- 2mother/son = Perfect square number A) only A alone is sufficient B) only B alone is sufficienttrue
- 3both A and B are requiredfalse
- 4A) only A alone is sufficient B) only B alone is sufficient C) both A and B are required D)false
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Answer : 2. "mother/son = Perfect square number
A) only A alone is sufficient
B) only B alone is sufficient"
Explanation :
Answer: B) only B alone is sufficient Explanation: For the given problem there are three possiblities.Father's age can be = 36, 31, 29Mother's age = 32, 27, 25Son's age = 8, 3, 1. By using only B it can be calculated.
Q: What causes brownian motion in colloids? 1668 05b5cc662e4d2b4197774bebb
5b5cc662e4d2b4197774bebb- 1coagulation of particles and the dispersed phasefalse
- 2erratic flashes of lightfalse
- 3molecules of the dispersion medium colliding with dispersed phase particlestrue
- 4All the abovefalse
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Answer : 3. "molecules of the dispersion medium colliding with dispersed phase particles"
Explanation :
Answer: C) molecules of the dispersion medium colliding with dispersed phase particles Explanation: When their is a colloid in the solution, then it will show the Brownian movement, such as dust particle in the air will show the Brownian movement. Hence, Brownian movement arises due to the impact of the molecules of the dispersion medium with the colloidal particles. It has been postulated that the impact of the molecules of dispersion medium on the colloidal particles are unequal. This leads to the zig-zag (random) motion of the colloidal particles.
Q: What is the value of a two–digit number? A. The sum of the digits is 15. B. The difference of the squares of the digits is 45. C. The difference of their digits is 3. 1668 05b5cc6a6e4d2b4197774cdde
5b5cc6a6e4d2b4197774cdde- 1B and C together are sufficientfalse
- 2Any one pair of A and B, B and C or C and A is sufficienttrue
- 3C and A together are sufficientfalse
- 4A and B together are sufficientfalse
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Answer : 2. "Any one pair of A and B, B and C or C and A is sufficient"
Explanation :
Answer: B) Any one pair of A and B, B and C or C and A is sufficient Explanation: From the given data, Let the two gits of a number be x & y A) x + y = 15 B) x2 - y2 = 45 (x+y) (x - y) = 45 C) x - y = 3 From any 2 of the given 3 statements, we can find that 2 digit number as 2x = 18 => x = 9 => y = 6 Hence, 2 digit number is 96. Any one pair of A and B, B and C or C and A is sufficient to find.
Q: The length of a brigade which a train 130 m long and traveling at 45kmph can cross in 30 seconds, is 1667 05b5cc6d9e4d2b4197774e80c
5b5cc6d9e4d2b4197774e80c- 1196 mtsfalse
- 2220 mtsfalse
- 3230 mtsfalse
- 4245 mtstrue
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Answer : 4. "245 mts"
Explanation :
Answer: D) 245 mts Explanation: Let the length of the brigade is x mtsThen Distance = 130 + x mtsgiven speed = 45 kmph = 45 x5/18 m/sTime = 30 secT = D/S => 30 = 130+x/(45x5/18)=> x = 245 mts.
Q: Who is the 45th President of United States ? 1667 05b5cc767e4d2b4197774fde6
5b5cc767e4d2b4197774fde6- 1Hillary Clintonfalse
- 2Barack Obamafalse
- 3George W. Bushfalse
- 4Donald Trumptrue
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Answer : 4. "Donald Trump"
Explanation :
Answer: D) Donald Trump Explanation: Donald John Trump (born June 14, 1946) is an American businessman, television personality, politician, and the 45th President of the United States.
Q: In how many ways can letter of the word RAILINGS arrange so that R and S always come together? 1667 05b5cc6b9e4d2b4197774d6a8
5b5cc6b9e4d2b4197774d6a8- 11260false
- 22520false
- 35040true
- 41080false
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Answer : 3. "5040"
Explanation :
Answer: C) 5040 Explanation: The number of ways in which the letters of the word RAILINGS can be arranged such that R & S always come together is Count R & S as only 1 space or letter so that RS or SR can be arranged => 7! x 2! But in the word RAILINGS, I repeated for 2 times => 7! x 2!/2! = 7! ways = 5040 ways.
Q: 6 choose 3 = 1665 05b5cc6a4e4d2b4197774cc81
5b5cc6a4e4d2b4197774cc81- 120true
- 230false
- 318false
- 424false
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Answer : 1. "20"
Explanation :
Answer: A) 20 Explanation: 6 choose 3 means number of possible unordered combinations when 3 items are selected from 6 available items i.e, nothing but 6C3. Now 6C3 = 6 x 5 x 4/3 x 2 x 1 = 120/6 = 20.
Q: When 5% is lost in grinding Maize, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of Maize, which grows in the country ? 1665 05b5cc6dae4d2b4197774e88f
5b5cc6dae4d2b4197774e88f- 1188 millionfalse
- 2166 2/3 milliontrue
- 3192 3/4 millionfalse
- 4Nonefalse
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Answer : 2. "166 2/3 million"
Explanation :
Answer: B) 166 2/3 million Explanation: 5% - 2% = 3%=> 3% ------ 5 million bags 100% ---- ? => 166 2/3 million bags.