IIT JEE Practice Question and Answer

Q: Second & fourth Saturdays and every Sunday is a holiday. How many working days will be there in a month of 31 days beginning on a Friday ? 1557 0

  • 1
    24
    Correct
    Wrong
  • 2
    23
    Correct
    Wrong
  • 3
    22
    Correct
    Wrong
  • 4
    25
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "24"
Explanation :

Answer: A) 24 Explanation: Given that the month begins on a Friday and has 31 days   Sundays = 3rd, 10th, 17th, 24th, 31st=> Total Sundays = 5   Every second & fourth Saturday is holiday. 2nd & 4th Saturday in every month = 2   Total days in the month = 31   Total working days = 31 - (5 + 2) = 24 days.

Q: Can you Solve the Problem ? 1483 0

  • Show AnswerHide Answer
  • Workspace

Answer :
Explanation :

Let the two digits be x & y From given data in the question, we get x + y = 3(x - y) x + y = 3x - 3y => 2x = 4y x/y = 2/1 For having the 2:1, numbers satisfying are 12, 21, 24, 42, 36, 63, 48, 84 From this 36 is eleminated because it is a perfect square and no others are prime or perfect squares. Hence, there exists 7 such 2-digit numbers => 12, 21, 24, 42, 63, 48, 84.

Q: K can lay Highway road between two cities in 16 days. L can do the same job in 12 days. With the help of M, they completes the job in 4 days. How much days does it take for M alone to complete the work ? 1489 0

  • 1
    47/7 days
    Correct
    Wrong
  • 2
    59/6 days
    Correct
    Wrong
  • 3
    48/5 days
    Correct
    Wrong
  • 4
    57/5 days
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "48/5 days"
Explanation :

Answer: C) 48/5 days Explanation: Amount of work K can do in 1 day = 1/16 Amount of work L can do in 1 day = 1/12 Amount of work K, L and M can together do in 1 day = 1/4 Amount of work M can do in 1 day = 1/4 - (1/16 + 1/12) = 3/16 – 1/12 = 5/48 => Hence M can do the job on 48/5 days = 9 (3/5) days

Q: Manju borrows Rs.5000 for 2 years at 4% p.a. simple interest from Sudha. She immediately lends it to another person at 6 1⁄4% p.a for 2 years. Find her gain in the transaction per year. 1227 0

  • 1
    Rs. 101
    Correct
    Wrong
  • 2
    Rs. 98.5
    Correct
    Wrong
  • 3
    Rs. 124.3
    Correct
    Wrong
  • 4
    Rs. 112.5
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "Rs. 112.5"
Explanation :

Answer: D) Rs. 112.5 Explanation: Manju borrows Rs. 5000 for 2 years at 4% p.a. simple interest  She also lends it at 6 1⁄4% p.a for 2 years  => Total Gain = 6 1/4% − 4% = 2 1/4% So her gain in the transaction for 1 year = The simple interest she gets for Rs.5000 for 1 year at 2 1⁄4% per annum = PTR100=5000×94×1100 = Rs. 112.5/ year.

Q: The angle between the minute hand and the hour hand of a clock when the time is 4.15 is 1384 0

  • 1
    0
    Correct
    Wrong
  • 2
    37.5
    Correct
    Wrong
  • 3
    27
    Correct
    Wrong
  • 4
    15
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "37.5"
Explanation :

Answer: B) 37.5 Explanation: Angle between hands of a clock   When the minute hand is behind the hour hand, the angle between the two hands at M minutes past H 'o clock   => 30H-M5+M2 degrees   Here H = 4, M = 15 and the minute hand is behind the hour hand.   Hence the angle    = 30[4-(15/5)]+15/2 = 30(1)+7.5 = 37.5 degrees

Q: Which city is known as "Queen of Arabian Sea"  ? 2118 0

  • 1
    Vizag
    Correct
    Wrong
  • 2
    Kakinada
    Correct
    Wrong
  • 3
    Mumbai
    Correct
    Wrong
  • 4
    Kochi
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "Kochi"
Explanation :

Answer: D) Kochi Explanation:

Q: Which city is known as "City of Blood" in India ? 2457 0

  • 1
    Jaisalmar
    Correct
    Wrong
  • 2
    Jodhpur
    Correct
    Wrong
  • 3
    Yavatmal
    Correct
    Wrong
  • 4
    Tezpur
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "Tezpur"
Explanation :

Answer: D) Tezpur Explanation: Tezpur is the city in the state of Assam is known as City of Blood.

Q: Where is Panch Mahal situated 1228 1

  • 1
    Fatehpur Sikri
    Correct
    Wrong
  • 2
    Gandhinagar
    Correct
    Wrong
  • 3
    Allahabad
    Correct
    Wrong
  • 4
    Varanasi
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "Fatehpur Sikri"
Explanation :

Answer: A) Fatehpur Sikri Explanation: Fatehpur Sikri in Uttar Pradesh.

      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