IIT JEE Practice Question and Answer

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Answer : 3. "23"
Explanation :

Answer: C) 23 Explanation: Let us assume the two persons who can speak two languages speak Hindi and Tamil. The third person then speaks all the three languages. Tamil – Number of persons who can speak is 6. Only Tamil 6 – 2 – 1 = 3 Hindi - Number of persons who can speak is 15. Only Hindi 15 – 2 – 1 12 Gujarati – Number of persons who can speak is 6. Only Gujarati 6 – 1 = 5 Thus the number of persons who can speak only one language is 3 + 12 + 5 = 20 Number of persons who can speak two languages = 2 Number of person who an speak all the languages = 1 Total number of persons = 23.

Q: In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples ? 6861 0

  • 1
    6/7
    Correct
    Wrong
  • 2
    19/21
    Correct
    Wrong
  • 3
    7/31
    Correct
    Wrong
  • 4
    5/21
    Correct
    Wrong
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Answer : 4. "5/21"
Explanation :

Answer: D) 5/21 Explanation: Number of ways of (selecting at least two couples among five people selected) = (⁵C₂ x ⁶C₁) As remaining person can be any one among three couples left. Required probability = (⁵C₂ x ⁶C₁)/¹⁰C₅= (10 x 6)/252 = 5/21

Q: Find the missing number? 15, 30, ? , 40, 8, 48 6817 0

  • 1
    21
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    19
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
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Answer : 4. "10"
Explanation :

Answer: D) 10 Explanation: Given nuber series is 15, 30, ? , 40, 8, 48  Here the number series follows a pattern that 15 15 x 2 = 30 30 ÷ 3 = 10 10 x 4 = 40 40 ÷ 5 = 8 8 x 6 = 48 Hence, the missing number in the series is 10.

Q: Which two months in a year have the same calendar? 6783 0

  • 1
    October, December
    Correct
    Wrong
  • 2
    April, November
    Correct
    Wrong
  • 3
    June, October
    Correct
    Wrong
  • 4
    April, July
    Correct
    Wrong
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Answer : 4. "April, July"
Explanation :

Answer: D) April, July Explanation: If the period between the two months is divisible by 7, then that two months will have the same calender . Now,(a). October + November = 31 + 30 = 61 (not divisible by 7) (b). Apr. + May + June + July + Aug. + Sep. + Oct. = 30 + 31 + 30 + 31 + 31 +30 + 31 = 213 (not divisible by 7) (c). June + July + Aug. + Sep. = 30 + 31 + 31 + 30 = 122 (not divisible by 7) (d). Apr. + May + June = 30 + 31 + 30 = 91 (divisible by 7)   Hence, April and July months will have the same calendar.

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Answer : 3. "Raju"
Explanation :

Answer: C) Raju Explanation: Suppose Sweety is sitting between Rohan and Karthik such that she is to the right of him.....then as Raju is opposite to Rohan then Raju must be to the left of Karthik.

Q: The second day of a month is Sunday, What will be the last day of the next month which has 31 days  ? 6721 0

  • 1
    Friday
    Correct
    Wrong
  • 2
    Saturday
    Correct
    Wrong
  • 3
    Sunday
    Correct
    Wrong
  • 4
    Can't be determined
    Correct
    Wrong
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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: Afreena walks 8 km towards East and then walks 13 km back, then she turns left and walks 4 km; then walks 5 km after turning left; she turns left again and walks 3 km. How far is she from the starting point ? 6714 0

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

Answer: C) 1 km Explanation:

Q: A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point C which is at midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B ? 6692 1

  • 1
    180 km
    Correct
    Wrong
  • 2
    160 km
    Correct
    Wrong
  • 3
    140 km
    Correct
    Wrong
  • 4
    120 km
    Correct
    Wrong
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Answer : 1. "180 km"
Explanation :

Answer: A) 180 km Explanation: Speed in downstream = (14 + 4) km/hr = 18 km/hr; Speed in upstream = (14 – 4) km/hr = 10 km/hr. Let the distance between A and B be x km. Then, x/18 + (x/2)/10 = 19 ⇔ x/18 + x/20 = 19 ⇒ x = 180 km.

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