IIT JEE Practice Question and Answer

Q: 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 0

  • 1
    8 kmph
    Correct
    Wrong
  • 2
    6 kmph
    Correct
    Wrong
  • 3
    7.5 kmph
    Correct
    Wrong
  • 4
    5.5 kmph
    Correct
    Wrong
  • Show Answer
  • Workspace

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 0

  • 1
    KMNL
    Correct
    Wrong
  • 2
    JLMK
    Correct
    Wrong
  • 3
    PRSQ
    Correct
    Wrong
  • 4
    VWYZ
    Correct
    Wrong
  • Show Answer
  • Workspace

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.

  • Show Answer
  • Workspace

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 0

  • 1
    Cricket
    Correct
    Wrong
  • 2
    Badminton
    Correct
    Wrong
  • 3
    Lawn Tennis
    Correct
    Wrong
  • 4
    Football
    Correct
    Wrong
  • Show Answer
  • Workspace

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 0

  • 1
    joy : ecstasy
    Correct
    Wrong
  • 2
    rich : poor
    Correct
    Wrong
  • 3
    love : hate
    Correct
    Wrong
  • 4
    poor : misery
    Correct
    Wrong
  • Show Answer
  • Workspace

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 0

  • 1
    3/17
    Correct
    Wrong
  • 2
    4/21
    Correct
    Wrong
  • 3
    2/21
    Correct
    Wrong
  • 4
    5/17
    Correct
    Wrong
  • Show Answer
  • Workspace

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 0

  • 1
    Because all three major candidates were Progressive, the Socialist won
    Correct
    Wrong
  • 2
    Because all three major candidates were Progressive, Progressive votes were split
    Correct
    Wrong
  • 3
    Although none of the candidates was Progressive, the Progressives decided the election
    Correct
    Wrong
  • 4
    Although none of the candidates was Progressive, Progressive ideas were important
    Correct
    Wrong
  • Show Answer
  • Workspace

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 0

  • 1
    Hockey
    Correct
    Wrong
  • 2
    Badminton
    Correct
    Wrong
  • 3
    Golf
    Correct
    Wrong
  • 4
    Football
    Correct
    Wrong
  • Show Answer
  • Workspace

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.

  Report Error

Please Enter Message
Error Reported Successfully

  Report Error

Please Enter Message
Error Reported Successfully

  Report Error

Please Enter Message
Error Reported Successfully

  Report Error

Please Enter Message
Error Reported Successfully

  Report Error

Please Enter Message
Error Reported Successfully

  Report Error

Please Enter Message
Error Reported Successfully

  Report Error

Please Enter Message
Error Reported Successfully

  Report Error

Please Enter Message
Error Reported Successfully