IIT JEE Practice Question and Answer
8Q: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is ? 4370 05b5cc6dce4d2b4197774e9c4
5b5cc6dce4d2b4197774e9c4- 18 kmphfalse
- 26 kmphtrue
- 37.5 kmphfalse
- 45.5 kmphfalse
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Answer : 2. "6 kmph"
Explanation :
Answer: B) 6 kmph Explanation: Speed of the stream = 1Motor boat speed in still water be = x kmphDown Stream = x + 1 kmphUp Stream = x - 1 kmph[35/(x + 1)] + [35/(x - 1)] = 12x = 6 kmph
Q: Find the one which does not belong to that group ? 4366 05b5cc6ebe4d2b4197774eeaf
5b5cc6ebe4d2b4197774eeaf- 1KMNLfalse
- 2JLMKfalse
- 3PRSQfalse
- 4VWYZtrue
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Answer : 4. "VWYZ"
Explanation :
Answer: D) VWYZ Explanation: K+2 M+1 N-2 L, P+2 R+1 S-2 Q, V+1 W+2 Y+1 Z, J+2 L+1 M-2 K and W+2 Y+1 Z-2 X. Except VWYZ, all the other groups follow similar pattern.
Q: Three taps I, J and K can fill a tank in 20,30and 40 minutes respectively. All the taps are opened simultaneously and after 5 minutes tap A was closed and then after 6 minutes tab B was closed .At the moment a leak developed which can empty the full tank in 70 minutes. What is the total time taken for the completely full ? 4359 05b5cc73de4d2b4197774f952
5b5cc73de4d2b4197774f952- 124.315 minutesfalse
- 226.166 minutestrue
- 322.154 minutesfalse
- 424 minutesfalse
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Answer : 2. "26.166 minutes"
Explanation :
Answer: B) 26.166 minutes Explanation: Upto first 5 minutes I, J and K will fill => 5[(1/20)+(1/30)+(1/40)] = 65/120 For next 6 minutes, J and K will fill => 6[(1/30)+(1/40)] = 42/120 So tank filled upto first 11 minutes = (65/120) + (42/120) = 107/120 So remaining tank = 13/120 Now at the moment filling with C and leakage @ 1/60 per minute= (1/40) - (1/70) = 3/280.So time taken to fill remaining 13/120 tank =(13/120) /(3/280) = 91/6 minutes Hence total time taken to completely fill the tank = 5 + 6 + 91/6 = 26.16 minutes.
Q: " Hopman cup " is related to which sports ? 4357 05b5cc6d6e4d2b4197774e689
5b5cc6d6e4d2b4197774e689- 1Cricketfalse
- 2Badmintonfalse
- 3Lawn Tennistrue
- 4Footballfalse
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Answer : 3. "Lawn Tennis"
Explanation :
Answer: C) Lawn Tennis Explanation: Law Tennis Hopman cup is a hard-court tennis tournament held every year in Australia. Teams from different countries participates in the tournament.
Q: Frugal : Parsimonious :: ? 4342 05b5cc75ce4d2b4197774fc6b
5b5cc75ce4d2b4197774fc6b- 1joy : ecstasytrue
- 2rich : poorfalse
- 3love : hatefalse
- 4poor : miseryfalse
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Answer : 1. "joy : ecstasy"
Explanation :
Answer: A) joy : ecstasy Explanation: Frugal and parsimonious are synonyms of each other and bear the meaning 'being stingy' or 'sparing'. Similarly, joy and ecstasy are related to happiness.
Q: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow ? 4341 05b5cc6dae4d2b4197774e8d7
5b5cc6dae4d2b4197774e8d7- 13/17false
- 24/21false
- 32/21true
- 45/17false
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Answer : 3. "2/21"
Explanation :
Answer: C) 2/21 Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. Probability that both marbles are blue = ³C₂/¹⁵C₂ = (3 x 2)/(15 x 14) = 1/35 Probability that both are yellow = ²C₂/¹⁵C₂ = (2 x 1)/(15 x 14) = 1/105 Probability that one blue and other is yellow = (³C₁ x ²C₁)/¹⁵C₂ = (2 x 3 x 2)/(15 x 14) = 2/35 Required probability = 1/35 + 1/105 + 2/35 = 3/35 + 1/105 = 1/35(3 + 1/3) = 10/(3 x 35) = 2/21
Q: Which is true of the 1912 presidential election? 4338 05b5cc6a0e4d2b4197774ca5b
5b5cc6a0e4d2b4197774ca5b- 1Because all three major candidates were Progressive, the Socialist wonfalse
- 2Because all three major candidates were Progressive, Progressive votes were splittrue
- 3Although none of the candidates was Progressive, the Progressives decided the electionfalse
- 4Although none of the candidates was Progressive, Progressive ideas were importantfalse
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Answer : 2. "Because all three major candidates were Progressive, Progressive votes were split"
Explanation :
Answer: B) Because all three major candidates were Progressive, Progressive votes were split Explanation: Because all three major candidates were Progressive, Progressive votes were split" is the one among the following that is true of the 1912 presidential election. The correct option among all the options that are given in the question is the option "B".
Q: With which Sport is the Jules Rimet Trophy associated? 4328 05b5cc6abe4d2b4197774d072
5b5cc6abe4d2b4197774d072- 1Hockeyfalse
- 2Badmintonfalse
- 3Golffalse
- 4Footballtrue
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Answer : 4. "Football"
Explanation :
Answer: D) Football Explanation: Jules Rimet Trophy is associated with the game Football. The Jules Rimet Trophy was named in the honour of Jules Rimet, who is FIFA's longest-serving president, in office for 33 years.