IIT JEE Practice Question and Answer
8Q: Amith can row a boat d km upstream and the same distance downstream in 5 hours 15 minutes. Also, he can row the boat 2d km upstream in 7 hours. How long will it take to row the same distance 2d km downstream for Amith ? 3007 05b5cc6c3e4d2b4197774dc63
5b5cc6c3e4d2b4197774dc63- 14 hrs 10 minfalse
- 23 hrs 15 minfalse
- 33 hrs 30 mintrue
- 44 hrs 1 minfalse
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Answer : 3. "3 hrs 30 min"
Explanation :
Answer: C) 3 hrs 30 min Explanation: Let the speed of boat and stream be x and y kmph respectively. According to question d/x+y + d/x-y = 5h 15m or 21/4 hrs ......(i) and 2d/x-y = 7...... (ii) From eq. (i) and (ii) 2d/x+y = 7/2 Hence, Amith will take to row 2d km distance downstream in 7/2 hrs = 3.5 hrs = 3 hrs 30 min.
Q: In a certain code DOWN is written as '5@9#' and NAME is written as '#6%3'. How is MODE written in that code ? 3003 05b5cc75ee4d2b4197774fc98
5b5cc75ee4d2b4197774fc98- 16@53false
- 2%@53true
- 353%#false
- 4%#35false
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Answer : 2. "%@53"
Explanation :
Answer: B) %@53 Explanation: From the given information : D O W N A M E == 5 @ 9 # 6 % 3 MODE = %@53
Q: 96% of the population of a village is 23040. The total population of the village is ? 3003 05b5cc6e7e4d2b4197774ed92
5b5cc6e7e4d2b4197774ed92- 124000true
- 232256false
- 325478false
- 426587false
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Answer : 1. "24000"
Explanation :
Answer: A) 24000 Explanation: Let the total population be 'P' P x (96/100) = 23040 P = 240 * 100 P = 24000.
Q: Optimist is to cheerful as Pessimist is to 2993 05b5cc69ce4d2b4197774c855
5b5cc69ce4d2b4197774c855- 1Helpfulfalse
- 2Meanfalse
- 3Pettyfalse
- 4Gloomytrue
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Answer : 4. "Gloomy"
Explanation :
Answer: D) Gloomy Explanation: The given words are related in a way that, an optimist is a person whose outlook is cheerful. Similarly, a pessimist is a person whose outlook is gloomy. The answer is not (b) because a pessimist does not have to be mean. Options (c) and (a) are incorrect because neither words describe the outlook of a pessimist. Hence, Optimist is to cheerful as Pessimist is to Gloomy.
Q: A train moving at 2/3 rd of its normal speed reaches its destination 20 minutes late. Find the normal time taken ? 2989 05b5cc71ee4d2b4197774f57c
5b5cc71ee4d2b4197774f57c- 14/3 hrsfalse
- 22/3 hrstrue
- 33/2 hrsfalse
- 41/4 hrsfalse
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Answer : 2. "2/3 hrs"
Explanation :
Answer: B) 2/3 hrs Explanation: Let the original speed and time is S and Tthen distance = S x TNow the speed changes to 2/3S and T is T+20As the distance is sameS x T = 2/3Sx(T+20)solving this we get t = 40 minutes =40/60 = 2/3 hour
Q: Which of the following metals forms an amalgam with other metals ? 2988 15b5cc6d9e4d2b4197774e86c
5b5cc6d9e4d2b4197774e86c- 1Mercurytrue
- 2Zincfalse
- 3Tinfalse
- 4Leadfalse
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Answer : 1. "Mercury"
Explanation :
Answer: A) Mercury Explanation:
Q: The ratio of male and female in a city is 7 : 8 respectively and percentage of children among male and female is 25 and 20 respectively. If number of adult females is 156800, what is the total population of the city? 2984 05b5cc6bee4d2b4197774d9c9
5b5cc6bee4d2b4197774d9c9- 14,12,480false
- 23,67,500true
- 35,44,700false
- 42,98,948false
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Answer : 2. "3,67,500"
Explanation :
Answer: B) 3,67,500 Explanation: Let the total population be 'p' Given ratio of male and female in a city is 7 : 8 In that percentage of children among male and female is 25% and 20% => Adults male and female % = 75% & 80% But given adult females is = 156800 => 80%(8p/15) = 156800 => 80 x 8p/15 x 100 = 156800 => p = 156800 x 15 x 100/80 x 8 => p = 367500 Therefore, the total population of the city = p = 367500
Q: Paw : Cat :: Hoof : ? 2982 05b5cc75ce4d2b4197774fc66
5b5cc75ce4d2b4197774fc66- 1Donkeyfalse
- 2Lionfalse
- 3Elephantfalse
- 4Horsetrue
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Answer : 4. "Horse"
Explanation :
Answer: D) Horse Explanation: The cat's foot is called a paw. The horse's foot is called a hoof.