IIT JEE Practice Question and Answer

Q: A person says that his son is 5 times as old as his daughter and his wife is 5 times older than his son and he is twice the age of his wife . The sum total of all the ages equals the age of the grand mother who celebrated her 81st birthday today. How old was his son? 1867 0

  • 1
    50 yrs
    Correct
    Wrong
  • 2
    25 yrs
    Correct
    Wrong
  • 3
    72 yrs
    Correct
    Wrong
  • 4
    40 yrs
    Correct
    Wrong
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Answer : 1. "50 yrs"
Explanation :

Answer: A) 50 yrs Explanation: Let the daughter age be 'x'Therefore, Son age = 5x, Mother age = 25x, Person age = 50x. Thus we get, x+5x+25x+50x = 8181x = 81x = 1 Daughter's age = 1, Son's = 5, Mother's = 25, Person's age = 50.

Q: At what time will B catch up with A, if A starts from a place at 11.00 A.M. and travels at a speed of 3.5 kmph, B starts at 1.00 P.M. and travels with speeds of 1 kmph for 1 hour, 2 kmph for the next 1 hour, 3 kmph for the next 1 hour and so on. 2352 0

  • 1
    8 : 47 pm
    Correct
    Wrong
  • 2
    6 : 40 pm
    Correct
    Wrong
  • 3
    8 : 42 pm
    Correct
    Wrong
  • 4
    7 : 40 pm
    Correct
    Wrong
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Answer : 4. "7 : 40 pm"
Explanation :

Answer: D) 7 : 40 pm Explanation: At 1 pm ... Distance between A and B = 2x3.5 = 7 kmsat 2 pm .....Distance between A and B = 7 + 3.5 - 1 = 9.5 kmsAt 3 pm ....Distance between A and B = 9.5 + 3.5 - 2 = 11 kms.......At 7 pm distance between A and B = 3 kms.From 7 pm to 8 pm, speed of A = 3.5 kmphspeed of B = 8 kmphRelative speed = 4.5 kmph Time taken by B to meet A = 3/4.5 hrs = 30/45 hrs = 120/3 mins = 40 mins. So meeting time is 7 : 40 PM.

Q: There is sufficient salary to give K for 10 days and L for 15 days. Then how many days will the money last if both has to be given the salary ? 1570 0

  • 1
    6 days
    Correct
    Wrong
  • 2
    12 days
    Correct
    Wrong
  • 3
    4 days
    Correct
    Wrong
  • 4
    9 days
    Correct
    Wrong
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Answer : 1. "6 days"
Explanation :

Answer: A) 6 days Explanation: K's 1 day's salary = 1/10 L's 1 day's salary = 1/15 Together their 1 day's salary = 1/10 + 1/15 = 3/30 + 2/30 = 5/30 = 1/6 So the money will be enough for paying them both for 6 days.

Q: First Bank to introduce ATM in India is ? 1243 0

  • 1
    ICICI Bank
    Correct
    Wrong
  • 2
    HSBC Bank
    Correct
    Wrong
  • 3
    HDFC Bank
    Correct
    Wrong
  • 4
    YES Bank
    Correct
    Wrong
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Answer : 2. "HSBC Bank"
Explanation :

Answer: B) HSBC Bank Explanation: HSBC (Hongkong and Shanghai Banking Corporation) is the first bank to introduce ATM concept in India in the year 1987 in Mumbai.

Q: There are n boxes and m fruits. If we put 3 fruits in each box 3 fruits will be excess. If we put 4 fruits in each box 1 box will be excess. Find number of boxes and fruits ? 1007 0

  • 1
    3 & 9
    Correct
    Wrong
  • 2
    6 & 19
    Correct
    Wrong
  • 3
    7 & 24
    Correct
    Wrong
  • 4
    5 & 18
    Correct
    Wrong
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Answer : 3. "7 & 24"
Explanation :

Answer: C) 7 & 24 Explanation: 7 boxes & 24 Balls.Let, n = No. of boxes ; m = No. of fruits3n+3 = m---------->(1)4(n-1)= m---------->(2)=>4n-4 = 3n+3;=>4n-3n = 4+3n = 7Put n=7 in eqn(1)=> 3(7)+3 = m21+3 = mm = 24; Number of boxes = 7 and fruits = 24

Q: Who set up the world's first floating ATM ? 3585 0

  • 1
    Bank of America
    Correct
    Wrong
  • 2
    Barclays Bank
    Correct
    Wrong
  • 3
    Axis Bank
    Correct
    Wrong
  • 4
    State Bank of India
    Correct
    Wrong
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Answer : 4. "State Bank of India"
Explanation :

Answer: D) State Bank of India Explanation: India's banking behemoth -- the State Bank of India -- has set up the world's first-ever floating ATM on a boat in Kerala. The boat with the ATM on board will berth at jetties in Kerala's huge backwaters through which thousands of people travel daily.

Q: International Day of Happiness is celebrated throughout the world on  ? 1067 0

  • 1
    21st March
    Correct
    Wrong
  • 2
    23rd March
    Correct
    Wrong
  • 3
    20th March
    Correct
    Wrong
  • 4
    19th March
    Correct
    Wrong
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Answer : 3. "20th March"
Explanation :

Answer: C) 20th March Explanation: The International Day of Happiness (known as Happiness Day) is celebrated throughout the world on the 20th of March. The International Day of Happiness was founded on June 28, 2012, by the United Nations General Assembly when all 193 member states unanimously adopted UN resolution 66/281. It was celebrated for the first time in 2013.

Q: What is the time required to punch 1500 cards of 45 column each at the rate of 9,000 punches per hour ? 1255 0

  • 1
    8 hrs
    Correct
    Wrong
  • 2
    7 hrs 15 min
    Correct
    Wrong
  • 3
    7 hrs 30 min
    Correct
    Wrong
  • 4
    8 hrs 20 min
    Correct
    Wrong
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Answer : 3. "7 hrs 30 min"
Explanation :

Answer: C) 7 hrs 30 min Explanation: Total number of cards = 1500total columns = 45so, total punches=1500 x 45 = 67500for 1 hour if we make 9000 punches, we require 67500/9000 = 7.5so 7hours:30mins.

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