IIT JEE Practice Question and Answer

Q: The Human Resource Development Ministry and the External Affairs Ministry launched an online verification portal ___________ to make the document verification process easier. 959 0

  • 1
    e-bharat
    Correct
    Wrong
  • 2
    e-sanad
    Correct
    Wrong
  • 3
    e-foriegn
    Correct
    Wrong
  • 4
    e-verify
    Correct
    Wrong
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Answer : 2. "e-sanad"
Explanation :

Answer: B) e-sanad Explanation: The Human Resource Development Ministry and the External Affairs Ministry launched an online verification portal to make the document verification process easier for students who planning to study abroad. The Central Board of Secondary Education’s (CBSE) academic repository of degrees and certificates “Parinam Manjusha” was also involved in the project of creating “eSanad”.

Q: What will come in place of question mark (?) in the following number series? 4, 3, 4, 7, 15, ? 958 0

  • 1
    42
    Correct
    Wrong
  • 2
    44
    Correct
    Wrong
  • 3
    53
    Correct
    Wrong
  • 4
    56
    Correct
    Wrong
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Answer : 2. "44"
Explanation :

Answer: B) 44 Explanation:   4             3             4             7               15        ? ×1-1      ×1+1       ×2-1       ×2+1           ×3-1   15x3 - 1 = 45 - 1 = 44

Q: A tap can fill a tank in 6 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely ? 957 0

  • 1
    4 hrs 15 min
    Correct
    Wrong
  • 2
    3 hrs 24 min
    Correct
    Wrong
  • 3
    4 hrs 51 min
    Correct
    Wrong
  • 4
    3 hrs 45 min
    Correct
    Wrong
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Answer : 4. "3 hrs 45 min"
Explanation :

Answer: D) 3 hrs 45 min Explanation: Time taken by one tap to fill half of the tank = 3 hrs. Part filled by the taps in 1 hour = 4 x 1/6 = 2/3 Remaining part = 1 - 1/2 = 1/2 2/3 : 1/2 :: 1 : p p = 1/2 x 1 x 3/2 = 3/4 hrs. i.e., 45 min So, total time taken = 3 hrs 45 min.

Q: Two trains running in opposite directions cross a pole placed on the platform in 47 seconds and 31 seconds respectively. If they cross each other in 33 seconds, what is the ratio of their speeds? 957 0

  • 1
    1:7
    Correct
    Wrong
  • 2
    7:1
    Correct
    Wrong
  • 3
    2:3
    Correct
    Wrong
  • 4
    3:2
    Correct
    Wrong
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Answer : 1. "1:7"
Explanation :

Answer: A) 1:7 Explanation: Let the speed of the trains be x and y respectively length of train1 = 47xlength of train2 = 31yRelative speed= x + yTime taken to cross each other = 33 s=> 47x+31yx+y= 33=> (47x + 31 y) = 33(x + y)=> 14x = 2y=> x/y = 2/14 = 1/7  = 1:7

Q: 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it ? 955 0

  • 1
    40 days
    Correct
    Wrong
  • 2
    36 days
    Correct
    Wrong
  • 3
    32 days
    Correct
    Wrong
  • 4
    34 days
    Correct
    Wrong
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Answer : 1. "40 days"
Explanation :

Answer: A) 40 days Explanation: Let 1 man's 1 day work = x and 1 woman's 1 day work = y.Then, 4x + 6y = 1/8 and 3x + 7y = 1/10Solving these two equations, we get:x = 11/400 and y = 1/40010 woman's 1 day work = (1/400 x 10) = 1/40. Hence, 10 women will complete the work in 40 days.

Q: Find the Missing Numbers in the given Number Puzzle ? 952 0

  • 1
    169 & 81
    Correct
    Wrong
  • 2
    67 & 121
    Correct
    Wrong
  • 3
    64 & 115
    Correct
    Wrong
  • 4
    70 & 110
    Correct
    Wrong
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Answer : 1. "169 & 81"
Explanation :

Answer: A) 169 & 81 Explanation: Observe that in each column, square of sum of digits in the first row = Respective second row elements.   In the same way, square of sum of digits in the second row = Respective third row elements.   => 6+42=102=100   => 4+92=132=169   => 8+12=92=81.

Q: According to a report by New World Wealth, which is the richest city in the world 2018? 951 0

  • 1
    Tokyo
    Correct
    Wrong
  • 2
    New York
    Correct
    Wrong
  • 3
    London
    Correct
    Wrong
  • 4
    Paris
    Correct
    Wrong
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Answer : 2. "New York"
Explanation :

Answer: B) New York Explanation: New York City, London, and Tokyo are the richest cities in the world 2018, according to their ranks.

Q: To fill 8 vacancies there are 15 candidates of which 5 are from ST. If 3 of the vacancies are reserved for ST candidates while the rest are open to all, Find the number of ways in which the selection can be done ? 950 0

  • 1
    7920
    Correct
    Wrong
  • 2
    74841
    Correct
    Wrong
  • 3
    14874
    Correct
    Wrong
  • 4
    10213
    Correct
    Wrong
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Answer : 1. "7920"
Explanation :

Answer: A) 7920 Explanation: ST candidates vacancies can be filled by C35 ways = 10  Remaining vacancies are 5 that are to be filled by 12  => C512= (12x11x10x9x8)/(5x4x3x2x1) = 792  Total number of filling the vacancies = 10 x 792 = 7920

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