IIT JEE Practice Question and Answer

Q: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is  ? 1371 0

  • 1
    1 : 2
    Correct
    Wrong
  • 2
    3 : 1
    Correct
    Wrong
  • 3
    4 : 7
    Correct
    Wrong
  • 4
    3 : 2
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "3 : 2"
Explanation :

Answer: D) 3 : 2 Explanation: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 23 => 27 x + 17 y = 23 x + 23 y => 4 x = 6 y => x/y = 3/2.

Q: Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is  ? 1707 0

  • 1
    5
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    7
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "5"
Explanation :

Answer: A) 5 Explanation: Let the number be x. Then,   3x2 - 4x = x + 50   3x2- 5x - 50 = 0   (3x + 10)(x - 5) = 0   x = 5

Q: P is faster than Q. P and Q each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, P's speed is equal to ? 4215 0

  • 1
    3 km/hr
    Correct
    Wrong
  • 2
    4 km/hr
    Correct
    Wrong
  • 3
    5 km/hr
    Correct
    Wrong
  • 4
    6 km/hr
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "4 km/hr"
Explanation :

Answer: B) 4 km/hr Explanation: Let P's speed = x km/hr. Then, Q's speed = (7 - x) km/ hr.   So, 24/x + 24/(7 - x) = 14   x2 - 98x + 168 = 0   (x - 3)(x - 4) = 0 => x = 3 or 4.   Since, P is faster than Q,   so P's speed = 4 km/hr and Q's speed = 3 km/hr.

Q: When 0.46 is written in simplest form, the sum of the numerator and the denominator is  ? 2116 0

  • 1
    69
    Correct
    Wrong
  • 2
    73
    Correct
    Wrong
  • 3
    96
    Correct
    Wrong
  • 4
    41
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "73"
Explanation :

Answer: B) 73 Explanation: 0.46 = 46/100 = 23/50. Sum of the numerator and denominator is 23 + 50 = 73

Q: A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days  ? 1691 0

  • 1
    9 days
    Correct
    Wrong
  • 2
    11 days
    Correct
    Wrong
  • 3
    13 days
    Correct
    Wrong
  • 4
    15 days
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "13 days"
Explanation :

Answer: C) 13 days Explanation: Ratio of times taken by A and B = 100 : 130 = 10 : 13.Suppose B takes x days to do the work. Then, 10 : 13 :: 23 : x     =>     x = ( 23 x 13/10 )     =>     x = 299 /10. A's 1 day's work = 1/23 ;B's 1 day's work = 10/299 . (A + B)'s 1 day's work = ( 1/23 + 10/299 ) = 23/299 = 113 . Therefore, A and B together can complete the work in 13 days.

Q: The second day of a month is Sunday, What will be the last day of the next month which has 31 days  ? 6950 0

  • 1
    Friday
    Correct
    Wrong
  • 2
    Saturday
    Correct
    Wrong
  • 3
    Sunday
    Correct
    Wrong
  • 4
    Can't be determined
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "Can't be determined"
Explanation :

Answer: D) Can't be determined Explanation: We cannot find out the answer because the number of days of the current month is not given.

Q: Vishal and Raghu jointly started a business. Vishal invested three times as Raghu did and invested his money for double time as compared to Raghu. Raghu earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was  ? 1780 0

  • 1
    Rs. 28,000
    Correct
    Wrong
  • 2
    Rs. 18,000
    Correct
    Wrong
  • 3
    Rs. 14,000
    Correct
    Wrong
  • 4
    Rs. 8,000
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "Rs. 28,000"
Explanation :

Answer: A) Rs. 28,000 Explanation: Investments ratio is = 3:1Time period ratio is = 2:1 As they are proportional to gain ------Gain ratio of Vishal and raghu = 6:1 But given Raghu got Rs. 4000,  =? 1 ----- 4000     7 -----    ? => Rs.28,000 The total gain = Rs.28,000

Q: 10 boys can complete a work in 7 days and 10 girls take 14 days to complete the work. How many days will 5 boys and 10 girls take to complete the work ? 1253 0

  • 1
    13 days
    Correct
    Wrong
  • 2
    10 days
    Correct
    Wrong
  • 3
    7 days
    Correct
    Wrong
  • 4
    16 days
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "7 days"
Explanation :

Answer: C) 7 days Explanation: 1 boy's 1 day work = 1/70 1 girl's 1 day work = 1/140 (5 boys + 10 girls)'s 1 day work = (5/70 + 10/140) = (1/14 + 1/14) = 1/7   5 boys and 10 girls will complete the work in 7 days.

      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