GATE Practice Question and Answer
8Q: If [P @ Q] means [P is wife of Q], [P+Q] means [P is father of Q] and [P - Q] means [P is sister of Q] then in [G+ H - R @ D], how is G related to D ? 1414 05b5cc715e4d2b4197774f422
5b5cc715e4d2b4197774f422- 1Son-in-lawfalse
- 2Grand fatherfalse
- 3Father-in-lawtrue
- 4Brotherfalse
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Answer : 3. "Father-in-law"
Explanation :
Answer: C) Father-in-law Explanation: "G is father in law of D"G+H means G is father of HH is either son or daughter of GH-R means H is sister of RR@D means R is wife of Dso H and R are sistersand daughters of Gso husband of R i.e. D is son in law of Gor G is father in law of D
Q: In a class there are certain no. of boys and girls. If 15 girls are absent then no. of boys will be twice that of girls. If 45 boys are absent then girls strength will be 5 times that of boys. Find number of boys actually present ? 1736 05b5cc715e4d2b4197774f41d
5b5cc715e4d2b4197774f41d- 140false
- 250true
- 355false
- 435false
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Answer : 2. "50"
Explanation :
Answer: B) 50 Explanation: 15 girls are absent => b = 2(g-15)...... eqn...(1) 45 boys are absent => g - 15 = 5(b-45).....eqn...(2) => g = 5(b-45) + 15 => b = 2((5(b-45)+15)-15) => b = 2(5b - 225 + 15 - 15) => b = 2(5b-225) => b = 10b - 450 => 9b = 450 => b = 50 so from equation(2) g - 15 = 5(b - 45) => g - 15 = 5(50-45) => g - 15 = 5(5) => g = 25 + 15 => g = 40 Therefore, the number of boys = 50 and girls = 40
Q: A person says that his son is 5 times as old as his daughter and his wife is 5 times older than his son and he is twice the age of his wife . The sum total of all the ages equals the age of the grand mother who celebrated her 81st birthday today. How old was his son? 1867 05b5cc715e4d2b4197774f413
5b5cc715e4d2b4197774f413- 150 yrstrue
- 225 yrsfalse
- 372 yrsfalse
- 440 yrsfalse
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Answer : 1. "50 yrs"
Explanation :
Answer: A) 50 yrs Explanation: Let the daughter age be 'x'Therefore, Son age = 5x, Mother age = 25x, Person age = 50x. Thus we get, x+5x+25x+50x = 8181x = 81x = 1 Daughter's age = 1, Son's = 5, Mother's = 25, Person's age = 50.
Q: There is a 3 digited number. 3rd digit is the square root of the 1st digit. 2nd digit is the sum of 1st and 3rd. And that number is divisible by 2,3,6,7. What is that number? 832 05b5cc715e4d2b4197774f40e
5b5cc715e4d2b4197774f40e- 1121false
- 2943false
- 3462true
- 4Nonefalse
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Answer : 3. "462"
Explanation :
Answer: C) 462 Explanation: Assume that the number is taken as XYZ.Condition 1 => Z = sq.root(x) => Possible digits of X is 1,4,9Condition 2 => Y = X + ZX Y Z1 2 14 6 29 12 3 => (wrong because it is 4 digit.) and 121 is not divisible by 2 The answer is 462.
Q: At what time will B catch up with A, if A starts from a place at 11.00 A.M. and travels at a speed of 3.5 kmph, B starts at 1.00 P.M. and travels with speeds of 1 kmph for 1 hour, 2 kmph for the next 1 hour, 3 kmph for the next 1 hour and so on. 2352 05b5cc715e4d2b4197774f409
5b5cc715e4d2b4197774f409- 18 : 47 pmfalse
- 26 : 40 pmfalse
- 38 : 42 pmfalse
- 47 : 40 pmtrue
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Answer : 4. "7 : 40 pm"
Explanation :
Answer: D) 7 : 40 pm Explanation: At 1 pm ... Distance between A and B = 2x3.5 = 7 kmsat 2 pm .....Distance between A and B = 7 + 3.5 - 1 = 9.5 kmsAt 3 pm ....Distance between A and B = 9.5 + 3.5 - 2 = 11 kms.......At 7 pm distance between A and B = 3 kms.From 7 pm to 8 pm, speed of A = 3.5 kmphspeed of B = 8 kmphRelative speed = 4.5 kmph Time taken by B to meet A = 3/4.5 hrs = 30/45 hrs = 120/3 mins = 40 mins. So meeting time is 7 : 40 PM.
Q: There is sufficient salary to give K for 10 days and L for 15 days. Then how many days will the money last if both has to be given the salary ? 1570 05b5cc715e4d2b4197774f404
5b5cc715e4d2b4197774f404- 16 daystrue
- 212 daysfalse
- 34 daysfalse
- 49 daysfalse
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Answer : 1. "6 days"
Explanation :
Answer: A) 6 days Explanation: K's 1 day's salary = 1/10 L's 1 day's salary = 1/15 Together their 1 day's salary = 1/10 + 1/15 = 3/30 + 2/30 = 5/30 = 1/6 So the money will be enough for paying them both for 6 days.
Q: First Bank to introduce ATM in India is ? 1243 05b5cc711e4d2b4197774f3fa
5b5cc711e4d2b4197774f3fa- 1ICICI Bankfalse
- 2HSBC Banktrue
- 3HDFC Bankfalse
- 4YES Bankfalse
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Answer : 2. "HSBC Bank"
Explanation :
Answer: B) HSBC Bank Explanation: HSBC (Hongkong and Shanghai Banking Corporation) is the first bank to introduce ATM concept in India in the year 1987 in Mumbai.
Q: There are n boxes and m fruits. If we put 3 fruits in each box 3 fruits will be excess. If we put 4 fruits in each box 1 box will be excess. Find number of boxes and fruits ? 1007 05b5cc711e4d2b4197774f3ff
5b5cc711e4d2b4197774f3ff- 13 & 9false
- 26 & 19false
- 37 & 24true
- 45 & 18false
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Answer : 3. "7 & 24"
Explanation :
Answer: C) 7 & 24 Explanation: 7 boxes & 24 Balls.Let, n = No. of boxes ; m = No. of fruits3n+3 = m---------->(1)4(n-1)= m---------->(2)=>4n-4 = 3n+3;=>4n-3n = 4+3n = 7Put n=7 in eqn(1)=> 3(7)+3 = m21+3 = mm = 24; Number of boxes = 7 and fruits = 24