IIT JEE Practice Question and Answer
8Q: If 6 men and 3 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time ? 1897 05b5cc6dae4d2b4197774e8d2
5b5cc6dae4d2b4197774e8d2- 11 : 2true
- 22 : 1false
- 33 : 1false
- 41 : 3false
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Answer : 1. "1 : 2"
Explanation :
Answer: A) 1 : 2 Explanation: 6M + 3B = 4(1M + 1B)6M + 3B = 4M + 4B2M = 1B M/B = 1/2
Q: Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case ? 1340 05b5cc6dae4d2b4197774e8cd
5b5cc6dae4d2b4197774e8cd- 11020false
- 21040false
- 31060false
- 41022true
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Answer : 4. "1022"
Explanation :
Answer: D) 1022 Explanation: Lowest 4-digit number is 1000.LCM of 3, 4 and 5 is 60.Dividing 1000 by 60, we get the remainder 40. Thus, the lowest 4-digit number that exactly divisible by 3, 4 and 5 is 1000 + (60 - 40) = 1020.Now, add the remainder 2 that's required. Thus, the answer is 1022.
Q: 45 men working 9 hours per day dig 40 m deep. How many extra men should be put to dig to a depth of 56 m working 7 hours per day ? 2006 05b5cc6dae4d2b4197774e8c8
5b5cc6dae4d2b4197774e8c8- 136true
- 261false
- 348false
- 454false
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Answer : 1. "36"
Explanation :
Answer: A) 36 Explanation: (45 x 9)/40 = (M x 7)/56 => M = 81 => 81 – 45 = 36
Q: Find the odd one out of the series ? 35, 48, 54, 63, 81, 105 2144 05b5cc6dae4d2b4197774e8c3
5b5cc6dae4d2b4197774e8c3- 163false
- 248false
- 335true
- 481false
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Answer : 3. "35"
Explanation :
Answer: C) 35 Explanation: 48, 54, 63, 81 and 105 are divisible by 3 but not 35.
Q: A tap can fill a tank in 6 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely ? 1335 05b5cc6dae4d2b4197774e8be
5b5cc6dae4d2b4197774e8be- 14 hrs 15 minfalse
- 23 hrs 24 minfalse
- 34 hrs 51 minfalse
- 43 hrs 45 mintrue
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Answer : 4. "3 hrs 45 min"
Explanation :
Answer: D) 3 hrs 45 min Explanation: Time taken by one tap to fill half of the tank = 3 hrs. Part filled by the taps in 1 hour = 4 x 1/6 = 2/3 Remaining part = 1 - 1/2 = 1/2 2/3 : 1/2 :: 1 : p p = 1/2 x 1 x 3/2 = 3/4 hrs. i.e., 45 min So, total time taken = 3 hrs 45 min.
Q: International Day of United Nations Peacekeepers was observed on 1384 05b5cc6dae4d2b4197774e8b4
5b5cc6dae4d2b4197774e8b4- 128 Mayfalse
- 229 Maytrue
- 330 Mayfalse
- 431 Mayfalse
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Answer : 2. "29 May"
Explanation :
Answer: B) 29 May Explanation: The United Nations General Assembly designated 29 May as the International Day of United Nations Peacekeepers. The day has two purposes: To honour the memory of the UN peacekeepers who have lost their lives in the cause of peace. To pay tribute to all the men and women who have served and continue to serve in UN Peacekeeping operations for their high level of professionalism, dedication and courage. The theme for the 2017 International Day of UN Peacekeepers is “Investing in Peace Around the World“.
Q: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is ? 1606 05b5cc6dae4d2b4197774e8a5
5b5cc6dae4d2b4197774e8a5- 145 kmphfalse
- 225 kmphfalse
- 330 kmphfalse
- 450 kmphtrue
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Answer : 4. "50 kmph"
Explanation :
Answer: D) 50 kmph Explanation: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) x (18/5)] km/hr = 45 km/hr. Let the speed of the train be 'S' km/hr. Then, relative speed = (S - 5) km/hr. S - 5 = 45 => S = 50 km/hr.
Q: A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast ? 12085 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