GATE Practice Question and Answer
8Q: I. a2-7a+12 = 0, II. b2-3b+2 = 0 Solve both the equations to find the values of a and b ? 2875 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: 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 ? 2874 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: A man pointing to a lady says, "Her brother is the father of my only son's sister." How is that lady related to the man ? 2872 05b5cc715e4d2b4197774f45e
5b5cc715e4d2b4197774f45e- 1sister of father-in-lawfalse
- 2daughter-in-lawfalse
- 3Sistertrue
- 4daughterfalse
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Answer : 3. "Sister"
Explanation :
Answer: C) Sister Explanation:
Q: "Compounding frequency" refers to 2860 05b5cc642e4d2b4197774bb57
5b5cc642e4d2b4197774bb57- 1What type of interest your account earnsfalse
- 2How often your interest is calculated and added back into your accounttrue
- 3What interest rate you can expect from your accountfalse
- 4How easily you can add money into your accountfalse
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Answer : 2. "How often your interest is calculated and added back into your account"
Explanation :
Answer: B) How often your interest is calculated and added back into your account Explanation: Compounding frequency : The time periods when interest will be calculated on top of the original loan amount (or) The number of compounding periods in one year. The greater the compounding frequency, the more often your interest is calculated and added back into your account.
Q: 5% people of a village in India died by dengue, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning ? 2860 05b5cc6e0e4d2b4197774eb5c
5b5cc6e0e4d2b4197774eb5c- 14400true
- 23100false
- 32800false
- 45600false
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Answer : 1. "4400"
Explanation :
Answer: A) 4400 Explanation: Let 'P' be the original population at the beginning P x (95/100) x (85/100) = 3553 P = 4400.
Q: Five boxes of bananas sell for Rs. 30. how many boxes can you buy for Rs.9? 2859 05b5cc636e4d2b4197774b9ff
5b5cc636e4d2b4197774b9ff- 12false
- 21.5true
- 31.25false
- 42.5false
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Answer : 2. "1.5"
Explanation :
Answer: B) 1.5 Explanation: Given Five boxes of bananas sell for Rs. 30. => 1 Box of Bananas for = 30/5 = Rs. 6 Then, for Rs. 9 => 9/6 = 3/2 = 1.5 Hence, for Rs. 9, 1.5 box of bananas can buy.
Q: What travels around the world and stays in one spot? 2857 05b5cc64de4d2b4197774bc93
5b5cc64de4d2b4197774bc93- 1Slippersfalse
- 2Walking stickfalse
- 3Stampstrue
- 4None of the abovefalse
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Answer : 3. "Stamps"
Explanation :
Answer: C) Stamps Explanation: Stamps are what travel around the worldstaying in one spot. Slippers and walking stick can also travel around the world but they will not stay at one spot. So they are eliminated.
Q: Question : In a cricket team, the average age of eleven players in 28 years. What is the age of the captain? Statements : a. The captain is eleven years older than the youngest player. b. The average age of 10 players, other than the captain is 27.3 years. c. Leaving aside the captain and the youngest player, the average ages of three groups of three players each are 25 years, 28 years and 30 years respectively. 2857 05b5cc74fe4d2b4197774fb17
5b5cc74fe4d2b4197774fb17- 1All a,b and c followsfalse
- 2Only a and c followsfalse
- 3Either b alone or a & b followstrue
- 4Nonefalse
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Answer : 3. "Either b alone or a & b follows"
Explanation :
Answer: C) Either b alone or a & b follows Explanation: From statement (b)Average of 11 players = 11 x 28 = 308Average of 10 players = 10 x 27.3 = 273Age of captain = 308 - 273 = 35. From the Statement (a) we can say that captain's age (C) = y + 11 ...(1) where y-youngers ageFrom the statement (c),the averge age of 3groups of 3players each was given,It means total 9 players age was given indirectly,1st group: 25 x 3 = 752nd group: 28 x 3 = 843rd group: 30 x 3 = 90Total is 75 + 84 + 90 = 249Now {C + Y + (9 players age sum)}/11 = 28Y + 11 + Y + (249) = 28 x 11=3082Y+260=3082Y = 308-260 = 40 ==> Y=24 ==> C(captain's age)= Y+11 = 24+11 = 35 Therefore, statement b alone or a & c only is the answer.