IIT JEE Practice Question and Answer

Q: A train travels 325 km in 3.5 hours and 470 km in 4 hours. Find the average speed of train ? 1082 0

  • 1
    107 kmph
    Correct
    Wrong
  • 2
    106 kmph
    Correct
    Wrong
  • 3
    72 kmph
    Correct
    Wrong
  • 4
    76 kmph
    Correct
    Wrong
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Answer : 2. "106 kmph"
Explanation :

Answer: B) 106 kmph Explanation: As we know that Speed = Distance / Timefor average speed = Total Distance / Total Time TakenThus, Total Distance = 325 + 470 = 795 kmThus, Total Speed = 7.5 hrsAverage Speed = 795/7.5 => 106 kmph.

Q: A man walks 6 km at a speed of 112kmph, runs 8 km at a speed of 2 kmph and goes by bus another 32 km. Speed of the bus is 8 kmph. Find the average speed of the man in kmph. 1820 0

  • 1
    4314
    Correct
    Wrong
  • 2
    4213
    Correct
    Wrong
  • 3
    2413
    Correct
    Wrong
  • 4
    3414
    Correct
    Wrong
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Answer : 2. "4213"
Explanation :

Answer: B) Option B Explanation: Man walked 6 km at 1.5 kmph, again he walked 8 km at speed of 2 kmph and 40 km at a speed of 8kmphtime taken indivisually: => 6/1.5 = 4 m=> 8/2 = 4 m=> 40/8 = 5 m   Average speed of man= total distance/ total time=> 54/13 = 4213 kmph

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Answer : 4. "Neither a nor b follows"
Explanation :

Answer: D) Neither a nor b follows Explanation: Financial support to the tourism sector is not a permanent solution. Secondly, constant risk for the foreign tourists will never encourage tourism in India. Hence, none of the course action is the right solution in this direction.

Q: Two trains running in opposite directions cross a pole placed on the platform in 47 seconds and 31 seconds respectively. If they cross each other in 33 seconds, what is the ratio of their speeds? 867 0

  • 1
    1:7
    Correct
    Wrong
  • 2
    7:1
    Correct
    Wrong
  • 3
    2:3
    Correct
    Wrong
  • 4
    3:2
    Correct
    Wrong
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Answer : 1. "1:7"
Explanation :

Answer: A) 1:7 Explanation: Let the speed of the trains be x and y respectively length of train1 = 47xlength of train2 = 31yRelative speed= x + yTime taken to cross each other = 33 s=> 47x+31yx+y= 33=> (47x + 31 y) = 33(x + y)=> 14x = 2y=> x/y = 2/14 = 1/7  = 1:7

Q: If a student walks at the rate of 4 mts/min from his home, he is 4 minutes late for school, if he walks at the rate of 6 mts/min he reaches half an hour earlier. How far is his school from his home ? 1538 0

  • 1
    100 mts
    Correct
    Wrong
  • 2
    96 mts
    Correct
    Wrong
  • 3
    98 mts
    Correct
    Wrong
  • 4
    120 mts
    Correct
    Wrong
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Answer : 3. "98 mts"
Explanation :

Answer: C) 98 mts Explanation: Let the distance between home and school is 'x'.Let actual time to reach be 't'.Thus, x/4 = t + 4 ---- (1)and x/6 = t - 30 -----(2)Solving equation (1) and (2)=> x = 98 mts.

Q: Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5 ? 1154 0

  • 1
    2/3
    Correct
    Wrong
  • 2
    1/2
    Correct
    Wrong
  • 3
    7/8
    Correct
    Wrong
  • 4
    4/5
    Correct
    Wrong
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Answer : 2. "1/2"
Explanation :

Answer: B) 1/2 Explanation: Multiples of 3 below 20 are 3, 6, 9, 12, 15, 18 Multiples of 5 below 20 are 5, 10, 15, 20 Required number of possibilities = 10Total number of possibilities = 20Required probability = 10/20 = 1/2.

Q: Three unbiased coins are tossed. What is the probability of getting at most two heads ? 1287 0

  • 1
    4/3
    Correct
    Wrong
  • 2
    2/3
    Correct
    Wrong
  • 3
    3/2
    Correct
    Wrong
  • 4
    3/4
    Correct
    Wrong
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Answer : 4. "3/4"
Explanation :

Answer: D) 3/4 Explanation: Let S be the sample space.Here n(S)= 23 = 8Let E be the event of getting atmost two heads. Then,n(E) = {(H,T,T), (T,H,T), (T,T,H), (H,H,T), (T,H,H), (H,T,H)}Required probability = n(E)/n(S) = 6/8 = 3/4.

Q: Which of the following is / are fund managers for National Pension System (NPS) in 2017 ? 1352 0

  • 1
    Axis provident fund
    Correct
    Wrong
  • 2
    Yes bank pension fund
    Correct
    Wrong
  • 3
    ICICI prudential pension
    Correct
    Wrong
  • 4
    Punjab National provident fund
    Correct
    Wrong
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Answer : 3. "ICICI prudential pension"
Explanation :

Answer: C) ICICI prudential pension Explanation: At present in 2017, there are only seven NPS fund managers viz. HDFC Pension Fund, ICICI Prudential Pension, Kotak Pension Fund, LIC Pension Fund,  Reliance Capital Pension, SBI Pension Fund and UTI Retirement Solutions.

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