IIT JEE Practice Question and Answer
8Q: Five farmers have 7,9,11,13 & 14 apple trees respectively in their orchards. Last year each of them discovered that every tree in their own orchard yields exactly the same number of apples. Further, if the 3rd farmer gives one apple to the 1st and the 5th gives 3 to each of the 2nd & d 4th, they would all exactly have the same number of apples, what were the yields per tree in the orchards of the 3rd & 4th farmers ? 12298 05b5cc70ee4d2b4197774f38a
5b5cc70ee4d2b4197774f38a- 117 & 9false
- 29 & 11false
- 39 & 9false
- 411 & 9true
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Answer : 4. "11 & 9"
Explanation :
Answer: D) 11 & 9 Explanation: Let the number of apples in each tree of the 5 farmers be a, b, c, d,e respectively. Therefore total no of apples are 7a, 9b, 11c, 13d and 14e respectively. Given, 7a+1 = 9b+3 = 11c-1 = 13d+3 = 14e-6 = x 9b+3 = 13d+3===> 9b = 13dso take b = 13 and d = 9 9b+3 = 9*13+3 = 120 ie, x=120 substituting7a+1 = 1207a = 119a = 17 11c-1 = 12011c = 121c=11 14e-6 = 12014e = 126e = 9 Yields per tree in the orchards of d 3rd & 4th farmers= 11,9
Q: The computer that process both analog and digital is called 11877 15b5cc666e4d2b4197774bf0d
5b5cc666e4d2b4197774bf0d- 1Hybrid computertrue
- 2Mainframe computerfalse
- 3Digital computerfalse
- 4Analog computerfalse
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Answer : 1. "Hybrid computer"
Explanation :
Answer: A) Hybrid computer Explanation: The computer that process both analog and digital is called Hybrid computer.
Q: If E = 5 and READ is coded as 7, then what is the code of 'DEAR' ? 11812 05b5cc6c6e4d2b4197774de4a
5b5cc6c6e4d2b4197774de4a- 16false
- 27true
- 38false
- 49false
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Answer : 2. "7"
Explanation :
Answer: B) 7 Explanation: Here E = 5 = 5/1 = 5 => READ = 18 + 5 + 1 + 4 = 28/4 = 7 => DEAR = 4 + 5 + 1 + 18 = 28/4 = 7
Q: An air conditioner can coo the hall in 40 miutes while another takes 45 minutes to cool under similar conditions. If both air conditioners are switched on at same instance then how long will it take to cool the room approximately ? 11473 05b5cc728e4d2b4197774f723
5b5cc728e4d2b4197774f723- 118 minutesfalse
- 219 minutesfalse
- 322 minutestrue
- 424 minutesfalse
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Answer : 3. "22 minutes"
Explanation :
Answer: C) 22 minutes Explanation: Let the two conditioners be A and B 'A' cools at 40min 'B' at 45min Together =(axb)/(a+b) = (45x40)/85 = 21.1764 = (approx) 22 min.
Q: A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast ? 11395 05b5cc6dae4d2b4197774e89e
5b5cc6dae4d2b4197774e89e- 17500true
- 26200false
- 35600false
- 44700false
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Answer : 1. "7500"
Explanation :
Answer: A) 7500 Explanation: Let the candidates be A & B35%-----------A65%-----------B Difference of votes (65-35)% = 30% => 30% ------- 2250Then for 100% -------- ? => 7500
Q: "I am five times as old as you were, when I was as old as you are", said a man to his son. Find out their present ages, if the sum of their ages is 64 years ? 11335 05b5cc754e4d2b4197774fba4
5b5cc754e4d2b4197774fba4- 1Father = 50; Son =14false
- 2Father = 40; Son =24true
- 3Father = 60; Son =4false
- 4Father = 48; Son =16false
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Answer : 2. "Father = 40; Son =24"
Explanation :
Answer: B) Father = 40; Son =24 Explanation: Let the present age of the man be 'P' and son be 'Q',Given, P + Q = 64 or Q = (64 - P)Now the man says "I am five times as old as you were, when I was as old as you are",So, P = 5[B - (P - Q)]We get 6P = 10Q,Substitute value for Q,6P = 10(64 - P),Therefore P = 40, Q = 24.
Q: Regarding the Magna Carta, which statement is false? 11105 05b5cc60ae4d2b4197774b5a6
5b5cc60ae4d2b4197774b5a6- 1The document assured all English citizens freedom of speech.false
- 2The document required trial by a jury of one's peers.true
- 3The meeting of the English Barons and King John occurred at Runnymede.false
- 4King John was forced to sign the document.false
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Answer : 2. "The document required trial by a jury of one's peers."
Explanation :
Answer: B) The document required trial by a jury of one's peers. Explanation:
Q: Find the Odd one out of the given series 6, 15, 35, 77, 165, 221 11052 05b5cc6d9e4d2b4197774e84d
5b5cc6d9e4d2b4197774e84d- 1221false
- 2165true
- 335false
- 477false
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Answer : 2. "165"
Explanation :
Answer: B) 165 Explanation: The terms of the series are products of two consecutive prime numbers i.e. (2 x 3), (3 x 5), (5 x 7), (7 x 11),..... So, 165 is wrong and must be replaced by (11 x 13) i.e. 143.