IIT JEE Practice Question and Answer
8Q: The probability that a number selected at random from the first 100 natural numbers is a composite number is ? 1639 05b5cc6e3e4d2b4197774ec8e
5b5cc6e3e4d2b4197774ec8e- 13/2true
- 22/3false
- 31/2false
- 434/7false
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Answer : 1. "3/2"
Explanation :
Answer: A) 3/2 Explanation: The number of exhaustive events = 100 C₁ = 100. We have 25 primes from 1 to 100. Number of favourable cases are 75. Required probability = 75/50 = 3/2.
Q: If rupee two produces rupees eleven over a period of 30 years, find the rate of simple interest ? 1416 05b5cc6e2e4d2b4197774ec7f
5b5cc6e2e4d2b4197774ec7f- 117.25 %false
- 218.14 %false
- 318.33 %true
- 417.35 %false
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Answer : 3. "18.33 %"
Explanation :
Answer: C) 18.33 % Explanation: We know that I = PTR/100 11 = (2x30xR)/100 R = 18.333 %
Q: As per "Swachh Survekshan 2017" records India's cleanest city is ? 1463 05b5cc6e2e4d2b4197774ec66
5b5cc6e2e4d2b4197774ec66- 1Hyderabdfalse
- 2Tirupathifalse
- 3Indoretrue
- 4Bangalorefalse
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Answer : 3. "Indore"
Explanation :
Answer: C) Indore Explanation: i. The 'Swachh Survekshan 2017' survey results were recently announced by Urban Development Minister M Venkaiah Naidu. The total 434 cities of India were surveyed. Indore in Madhya Pradesh is India’s cleanest city while Gonda in Uttar Pradesh is the dirtiest. ii. Gujarat has the maximum of 12 cities among the top 50 clean cities, closely followed by Madhya Pradesh with 11 and Andhra Pradesh with eight. Uttar Pradesh accounted for half of the bottom 50 cities in the cleanliness ranking. Top 10 clean cities of India in 2017 are: Indore (MP)Bhopal (MP)Visakhapatnam (Andhra Pradesh)Surat (Gujarat)Mysuru (Karnataka)Tiruchirapally (Tamil Nadu)New Delhi Municipal Council (New Delhi)Navi Mumbai (Mumbai)Tirupati (Andhra Pradesh)Vadodara (Gujarat). Top 5 Dirtiest cities of India (with Rank) in 2017 are: Gonda (UP)- 434,Bhusawal (Maharashtra)- 433,Bagaha (Bihar)- 432,Hardoi (Uttarakhand)- 431,Katihar (Bihar)- 430.
Q: 96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part ? 4123 05b5cc6e2e4d2b4197774ec5c
5b5cc6e2e4d2b4197774ec5c- 142true
- 254false
- 346false
- 458false
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Answer : 1. "42"
Explanation :
Answer: A) 42 Explanation: Let x and y be the two parts of 96. x/7 = y/9 => x:y = 7:9 => The smallest part is = 7/16 x 96 = 42.
Q: Raju got married 8years ago. His present age is 6/5 times his age at the time of his marriage Raju's sister was 10years younger to him at the time of his marriage. The present age of Raju's sister is ? 4207 05b5cc6e2e4d2b4197774ec61
5b5cc6e2e4d2b4197774ec61- 130false
- 232false
- 338true
- 4Nonefalse
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Answer : 3. "38"
Explanation :
Answer: C) 38 Explanation: Let Raju's age at the time of his marriage = X years Then from given data => X + 8 = 6/5 X X = 40. Since got married 8 years ago, his present age = 48 His sister is 10 years younger => 48 - 10 = 38 years.
Q: Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour ? 1996 05b5cc6e2e4d2b4197774ec57
5b5cc6e2e4d2b4197774ec57- 12 hrsfalse
- 220 mintrue
- 340 minfalse
- 430 minfalse
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Answer : 2. "20 min"
Explanation :
Answer: B) 20 min Explanation: In 1hr, the bus covers 60 km without stoppages and 40 km with stoppages. Stoppage time = time take to travel (60 - 40) km i.e 20 km at 60 km/hr. stoppage time = 20/60 hrs = 20 min.
Q: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current ? 3833 05b5cc6e2e4d2b4197774ec52
5b5cc6e2e4d2b4197774ec52- 11 kmphfalse
- 23.2 kmphfalse
- 31.5 kmphtrue
- 42 kmphfalse
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Answer : 3. "1.5 kmph"
Explanation :
Answer: C) 1.5 kmph Explanation: 72 --- 9 ? ---- 1 => Down Stream = 8 45 ---- 9 ? ---- 1 => Up Stream = 5 Speed od current S = ? S = (8 - 5)/2 = 1.5 kmph.
Q: If 5 men and 2 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 ? 1513 05b5cc6e2e4d2b4197774ec4d
5b5cc6e2e4d2b4197774ec4d- 11:2false
- 21:3false
- 33:1false
- 42:1true
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Answer : 4. "2:1"
Explanation :
Answer: D) 2:1 Explanation: 5M + 2B = 4(1M + 1B) 5M + 2B = 4M + 4B 1M = 2B The required ratio of work done by a man and a boy = 2:1

