IIT JEE Practice Question and Answer

Q: Which day is declared as " International Day of Sport for Development and Peace (IDSDP) " by the UN General Assembly ? 889 0

  • 1
    5th April
    Correct
    Wrong
  • 2
    6th April
    Correct
    Wrong
  • 3
    7th April
    Correct
    Wrong
  • 4
    8th April
    Correct
    Wrong
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Answer : 2. "6th April"
Explanation :

Answer: B) 6th April Explanation: 6 April was declared as the International Day of Sport for Development and Peace (IDSDP) by the UN General Assembly. On the occasion of the 2017 International Day of Sport for Development and Peace (IDSDP), the United Nations Office on Sport for Development and Peace (UNOSDP) launches the digital campaign #WePlayTogether to encourage organizations and individuals.

Q: Which country has been ranked number one in pollution related deaths ? 889 0

  • 1
    Australia
    Correct
    Wrong
  • 2
    Indonesia
    Correct
    Wrong
  • 3
    India
    Correct
    Wrong
  • 4
    Japan
    Correct
    Wrong
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Answer : 3. "India"
Explanation :

Answer: C) India Explanation:

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 ? 888 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

Q: A can finish a work in 18 days and B can do the same work in half the time taken by A. then, working together, what part of the same work they can finish in a day ? 888 0

  • 1
    Total work
    Correct
    Wrong
  • 2
    One-fourth work
    Correct
    Wrong
  • 3
    Half work
    Correct
    Wrong
  • 4
    Two-third work
    Correct
    Wrong
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Answer : 3. "Half work"
Explanation :

Answer: C) Half work Explanation: A can do the work = 18 daysB can do the work = 18/2 = 9 days(A + B)'s 1 day work = 1/18 + 1/9 = 1/6=> In 3 days = 3x1/6 = 1/2 work is completed.

Q: Which is in India wins Pierre L'Enfant International Planning Excellence Award 2017 ? 887 0

  • 1
    Banglore
    Correct
    Wrong
  • 2
    Hyderabad
    Correct
    Wrong
  • 3
    Bhubaneshwar
    Correct
    Wrong
  • 4
    Delhi
    Correct
    Wrong
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Answer : 3. "Bhubaneshwar"
Explanation :

Answer: C) Bhubaneshwar Explanation: The American Planning Association (APA) has announced this year's international excellence award for the Bhubaneswar smart city project. The award called Pierre L'Enfant International Planning Excellence Award 2017 will be given on May 8 in New York city. This is the first time in the 50 years history of APA's annual award programme that an Indian city has been recognised for its planning efforts.

Q: Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 4 or 15 ? 887 0

  • 1
    6/19
    Correct
    Wrong
  • 2
    3/10
    Correct
    Wrong
  • 3
    7/10
    Correct
    Wrong
  • 4
    6/17
    Correct
    Wrong
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Answer : 2. "3/10"
Explanation :

Answer: B) 3/10 Explanation: Here, S = {1, 2, 3, 4, ...., 19, 20}=> n(s) = 20Let E = event of getting a multiple of 4 or 15 =multiples od 4 are {4, 8, 12, 16, 20}And multiples of 15 means multiples of 3 and 5= {3, 6 , 9, 12, 15, 18, 5, 10, 15, 20}.= the common multiple is only (15).=> E = n(E)= 6Required Probability = P(E) = n(E)/n(S) = 6/20 = 3/10.

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? 887 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: In the given number series which follows the definite rules then find out the value of (M, N, O, and P) in second number series. 7  18  42  94  204 4   M   N    O     P What value will come in place of P? 887 0

  • 1
    179
    Correct
    Wrong
  • 2
    184
    Correct
    Wrong
  • 3
    164
    Correct
    Wrong
  • 4
    156
    Correct
    Wrong
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Answer : 4. "156"
Explanation :

Answer: D) 156 Explanation: Here the given series 7  18  42  94  204 follows a pattern that,  7 7 ×2+4 = 18 18 ×2+6 = 42 42 ×2+10 = 94 94 ×2+16 = 204 Similarly, 4 4 ×2+4 = 12 12 ×2+6 = 30 30 ×2+10 = 70 70 ×2+16 = 156 Hence, the value of P = 156.

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