IIT JEE Practice Question and Answer
8Q: Three friends, P, Q and R started a partnership business investing money in the ratio of 5 : 4 : 2 respectively for a period of 3 years. What is the amount received by P as his share in the total profit ? a. Total amount invested in the business in Rs. 22,000. b. Profit earned at the end of 3 years is 3/8 of the total investment. c. The average amount of profit earned per year is Rs. 2750. 3641 05b5cc70be4d2b4197774f2e1
5b5cc70be4d2b4197774f2e1- 1Only c is sufficientfalse
- 2Both a & b are sufficientfalse
- 3Both A & B gives resulttrue
- 4Nonefalse
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Answer : 3. "Both A & B gives result"
Explanation :
Answer: C) Both A & B gives result Explanation: a and b give, profit after 3 years = Rs.(3/8 x 22000) = Rs.8250. From c also, profit after 3 years = Rs. (2750 x 3) = Rs. 8250. ∴ P's share = Rs.(8250 x 5/11) = Rs. 3750. Thus, (either C is redundant) or (a and b are redundant).
Q: If a trader sold two cars each at Rs. 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is ? 3629 05b5cc6ebe4d2b4197774ee78
5b5cc6ebe4d2b4197774ee78- 11.44% losstrue
- 214.4% lossfalse
- 30%false
- 414.4% profitfalse
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Answer : 1. "1.44% loss"
Explanation :
Answer: A) 1.44% loss Explanation: SP of each car is Rs. 325475, he gains 12% on first car and losses 12% on second car.In this case, there will be loss and percentage of loss is given by = [(profit%)(loss%)]/100 = (12)(12)/100 % = 1.44%
Q: Which is the World's Fastest SUPERCOMPUTER and to which country it belongs ? 3625 25b5cc6c5e4d2b4197774dd5f
5b5cc6c5e4d2b4197774dd5f- 1JAGUAR --- ENGLANDfalse
- 2PARAM YUVA 2 --- INDIAfalse
- 3CRAY-1 --- ENGLANDfalse
- 4TIANHE 2 --- CHINAtrue
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Answer : 4. "TIANHE 2 --- CHINA"
Explanation :
Answer: D) TIANHE 2 --- CHINA Explanation:
Q: The average age of a class is 19 years. While the average age of girls is 18 and that of boys is 21. If the number of girls in the class is 16, Find the number of Boys in the class? 3624 05b5cc6bce4d2b4197774d8a2
5b5cc6bce4d2b4197774d8a2- 112false
- 210false
- 38true
- 46false
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Answer : 3. "8"
Explanation :
Answer: C) 8 Explanation: Let the number of boys = x From the given data, => [21x + 16(18)]/(x+16) = 19 => 21x - 19x = 19(16) - 16(18) => 2x = 16 => x = 8 Therefore, the number of boys in the class = 8.
Q: Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes ? 3613 05b5cc6e5e4d2b4197774ed1a
5b5cc6e5e4d2b4197774ed1a- 121 mintrue
- 224 minfalse
- 320 minfalse
- 422 minfalse
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Answer : 1. "21 min"
Explanation :
Answer: A) 21 min Explanation: Let the pipe B be closed after 'K' minutes. 30/16 - K/24 = 1 => K/24 = 30/16 - 1 = 14/16 => K = 14/16 x 24 = 21 min.
Q: Which organisation among the following gave a slogan "Hyderabad for Hyderabadies" ? 3609 05b5cc6c0e4d2b4197774dad5
5b5cc6c0e4d2b4197774dad5- 1Ittehadul Musleemeenfalse
- 2Jameeyat Riya Mame Nizamtrue
- 3Deccan-e-Shabbirfalse
- 4Jamia Islamiafalse
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Answer : 2. "Jameeyat Riya Mame Nizam"
Explanation :
Answer: B) Jameeyat Riya Mame Nizam Explanation:
Q: Emergence of two power blocs after the second world war. What are they? 3595 05b5cc68ee4d2b4197774c3fa
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Answer :
Explanation :
Emergence of two great power blocs: Two power blocs came into existence after the Second World War. The United States of America and Soviet Russia became two Super Powers. They tried to dominate over other countries in their own way. Ultimately, it gave a headache to the world. The Cold War was a state of political and military tension after World War II between powers in the Western Bloc (the United States, its NATO allies and others) and powers in the Eastern Bloc (the Soviet Union and its allies in the Warsaw Pact).
Q: Time taken by P alone to finish a work is 50% more than the time taken by P and Q together. Q is thrice as efficient as R. If Q and R together can complete the work in 22.5 days, then how many days will P alone take to complete the work ? 3590 05b5cc6c5e4d2b4197774dd05
5b5cc6c5e4d2b4197774dd05- 117 daysfalse
- 211 daysfalse
- 315 daystrue
- 416 daysfalse
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Answer : 3. "15 days"
Explanation :
Answer: C) 15 days Explanation: We know that Time is inversely proportional to Efficiency Here given time ratio of P & P+Q as P/P+Q = 150/100 = 3:2 Efficiency ratio of P & Q as P:Q = 2:1 ....(1) Given Efficiency ratio of Q & R as Q:R = 3:1 ....(2) From (1) & (2), we get P:Q:R = 6:3:1 P alone can finish the work in 22.5(3+1)/6 = 15 days.