IIT JEE Practice Question and Answer

Q: The length of two superfast trains are 140 mts and 160 mts respectively. If they run at the speed of 60 km/hr and 80 km/hr respectively in opposite direction, find the time in which they will cross each other ? 1630 0

  • 1
    7.71 sec
    Correct
    Wrong
  • 2
    10.48 sec
    Correct
    Wrong
  • 3
    9.36 sec
    Correct
    Wrong
  • 4
    8.45 sec
    Correct
    Wrong
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Answer : 1. "7.71 sec"
Explanation :

Answer: A) 7.71 sec Explanation: Given L1 = 140 m L2 = 160 m S1 = 60 km/hr S2 = 80 km/hr From the question we get, S1 + S2 = (L1 + L2) / T => (60 + 80) 5/18 m/s = 140 + 160/T => T = 54/7 = 7.71 sec

Q: Can you Solve the Problem ? 1630 0

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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: What is 85 of 352? 1630 0

  • 1
    21.5%
    Correct
    Wrong
  • 2
    24.14%
    Correct
    Wrong
  • 3
    23.68%
    Correct
    Wrong
  • 4
    25.47%
    Correct
    Wrong
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Answer : 2. "24.14%"
Explanation :

Answer: B) 24.14% Explanation: Here 85 of 352 => 85 is what percent in 352 Let p% of 352 is 85 Percentage(%) is generally calculated in the total of 100. => p x 352/100  = 85 => p = 8500/352  = 24.14%   Hence, 85 is 24.14% of 352.

Q: The difference between two numbers is 3355. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number and larger number respectively ? 1630 0

  • 1
    546, 3901
    Correct
    Wrong
  • 2
    415, 3770
    Correct
    Wrong
  • 3
    668, 4023
    Correct
    Wrong
  • 4
    404, 3759
    Correct
    Wrong
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Answer : 3. "668, 4023"
Explanation :

Answer: C) 668, 4023 Explanation: Let the smaller number be k.Then, larger number = (3355 + k)Therefore 3355 + k = (6k + 15)‹=› 5k = 3340‹=› k = 668. Therefore, the smaller number k = 668 and now the larger number = 3355+668 = 4023.

Q: Evaluate : 3.392-2.6123.39-2.69? 1630 0

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

Answer: C) 6 Explanation:   It is in the form of a2-b2a-b = a+ba-ba-b = a+b   Here a = 3.39   b = 2.61     = 3.39 + 2.61 = 6.

Q: The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age og the youngest child ? 1629 0

  • 1
    8 yrs
    Correct
    Wrong
  • 2
    16 yrs
    Correct
    Wrong
  • 3
    6 yrs
    Correct
    Wrong
  • 4
    4 yrs
    Correct
    Wrong
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Answer : 4. "4 yrs"
Explanation :

Answer: D) 4 yrs Explanation: Let the age of the youngest child is 'X' years.Then the child elder than the yongest is 'X + 3' yrsSince each have 3yrs difference upto 5 childrenAnd given that=> X + X+3 + X+6 + X+9 + X+12 = 50=> 5X + 30 = 50=> X = 4 yrs.

Q: Ozone holes are more pronounced at the 1629 0

  • 1
    Tropic of cancer
    Correct
    Wrong
  • 2
    Poles
    Correct
    Wrong
  • 3
    Equator
    Correct
    Wrong
  • 4
    Tropic of capricorn
    Correct
    Wrong
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Answer : 2. "Poles"
Explanation :

Answer: B) Poles Explanation:

Q: In how many different ways can the letters of the word 'HAPPYHOLI' be arranged? 1629 0

  • 1
    89,972
    Correct
    Wrong
  • 2
    90,720
    Correct
    Wrong
  • 3
    72,000
    Correct
    Wrong
  • 4
    81,000
    Correct
    Wrong
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Answer : 2. "90,720"
Explanation :

Answer: B) 90,720 Explanation: The given word HAPPYHOLI has 9 letters These 9 letters can e arranged in 9! ways. But here in the given word letters H & P are repeated twice each Therefore, Number of ways these 9 letters can be arranged is  9!2! x 2! = 9 x 8 x 7 x 6 x 5 x 4 x 32 = 90,720 ways.

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