IIT JEE Practice Question and Answer

Q: A contractor undertook to complete a piece of work in 120 Days and employed 140 men upon it. At the end of 66 days only half of the work was done,so he put on 25 extra men. By how much time did he exceed the specific time ? 2649 0

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

Answer: A) 2 days Explanation: work done=total number of person x number of days;half of work done = 140 x 66;For half of remaining work 25 extra men are added.Therefore, total men for half work remaining = 140 + 25 = 165;Let 2nd half work will be completed in K days;140 x 66 = 165 x KK = 122;Hence, extra days => 122-120 = 2days.

Q: How many 6-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 and 7 so that the digits should not repeat and the second last digit is even ? 2644 0

  • 1
    521
    Correct
    Wrong
  • 2
    720
    Correct
    Wrong
  • 3
    420
    Correct
    Wrong
  • 4
    225
    Correct
    Wrong
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Answer : 2. "720"
Explanation :

Answer: B) 720 Explanation: Let last digit is 2when second last digit is 4 remaining 4 digits can be filled in 120 ways, similarly second last digit is 6 remained 4 digits can be filled in 120 ways.so for last digit = 2, total numbers=240   Similarly for 4 and 6When last digit = 4, total no. of ways =240and last digit = 6, total no. of ways =240so total of 720 even numbers are possible.

Q: What rights does the Declaration of Independence express? 2640 0

  • 1
    The right to remain silent when interrogated by police
    Correct
    Wrong
  • 2
    The right to citizenship
    Correct
    Wrong
  • 3
    Legal rights of citizens
    Correct
    Wrong
  • 4
    Human rights of citizens, including life and liberty
    Correct
    Wrong
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Answer : 3. "Legal rights of citizens"
Explanation :

Answer: C) Legal rights of citizens Explanation: The Declaration of Independence express Legal rights of citizens.

Q: Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 10 years old. At what age did the father get married ? 2640 0

  • 1
    25 years
    Correct
    Wrong
  • 2
    24 years
    Correct
    Wrong
  • 3
    23 years
    Correct
    Wrong
  • 4
    22 years
    Correct
    Wrong
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Answer : 3. "23 years"
Explanation :

Answer: C) 23 years Explanation: Ayush's present age = 10 years.His mother's present age = (10 + 20) years = 30 years.Ayush's father's present age = (30 + 5) years = 35 years.Ayush's father's age at the time of Ayush's birth = (35 - 10) years = 25 years. Therefore Ayush's father's age at the time of marriage = (25 - 2) years = 23 years.

Q: Crack the Logical Password of the Mobile ? 2640 0

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Answer :
Explanation :

65292 1st digit is 3 x 2 = 6 3rd digit is 5-3 = 2 4th digit is 5+4 = 9  6+5 = 2+9 = 9+2 = 11

Q: Sushma joins a job at 20 yrs. First 3 years salary is 10,000 p.a. Afterwards every year increment of 2,000 per year for 10 years. Then salary becomes constant till retirement. At retirement average salary is 25,000. (throughout career). At what age Sushma retires ? 2640 0

  • 1
    50 yrs
    Correct
    Wrong
  • 2
    47 yrs
    Correct
    Wrong
  • 3
    45 yrs
    Correct
    Wrong
  • 4
    42 yrs
    Correct
    Wrong
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Answer : 1. "50 yrs"
Explanation :

Answer: A) 50 yrs Explanation: Let age of retirement = Sso according to the given condition 25000(x-20)=10000 x 3 + 12000 + 14000 + 16000 + 18000 + 20000 + 22000 + 24000 + 26000 + 28000 + 30000 + 30000(S-33)= 30000 + 210000 + 30000S-990000= 30000S - 750000or 25000S - 500000 = 30000x - 750000or 5000x = 250000or S = 50 yrs.

Q: One paper is equally folded 35 times, then what is the new thickness of the paper ? 2640 0

  • 1
    T(2^50)
    Correct
    Wrong
  • 2
    50T
    Correct
    Wrong
  • 3
    2 x 50 T
    Correct
    Wrong
  • 4
    T/50
    Correct
    Wrong
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Answer : 1. "T(2^50)"
Explanation :

Answer: A) T(2^50) Explanation: Let initial thickness of the paper be 'T'after first fold it will be '2T' = 21Tafter second fold it will be '4T' = 22T after 50th fold it will be T x (250T)

Q: Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit ? 2636 0

  • 1
    Rs. 17.80
    Correct
    Wrong
  • 2
    Rs. 16.30
    Correct
    Wrong
  • 3
    Rs. 14
    Correct
    Wrong
  • 4
    Rs. 15.40
    Correct
    Wrong
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Answer : 2. "Rs. 16.30"
Explanation :

Answer: B) Rs. 16.30 Explanation: C.P. of 50 kg wheat = (30 * 11.50 + 20 * 14.25) = Rs. 630. S.P. of 50 kg wheat = 130% of Rs. 630 = 130/100 * 630 = Rs. 819. S.P. per kg = 819/50 = Rs. 16.38 = 16.30.

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