IIT JEE Practice Question and Answer

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Answer : 2. "2 x (18!)"
Explanation :

Answer: B) 2 x (18!) Explanation: A person can be chosen out of 18 people in 18 ways to be seated between Musharraf and Manmohan. Now consider Musharraf, Manmohan, and the third person, sitting between them, as a single personality, we can arrange them in 17! ways but Musharraf and Manmohan can also be arranged in 2 ways.    Required number of permutations = 18 x (17!) x 2 = 2 x 18!

Q: Mother’s age today is thrice as her daughter’s. After 10 years it would be just double. How old is the daughter today ? 3391 0

  • 1
    8 years
    Correct
    Wrong
  • 2
    9 years
    Correct
    Wrong
  • 3
    10 years
    Correct
    Wrong
  • 4
    11 years
    Correct
    Wrong
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Answer : 3. "10 years"
Explanation :

Answer: C) 10 years Explanation: Let the age of the daughter today be ‘x’ years. Mother’s age today = 3x years After 10 years, we have 3x + 10 = 2(x + 10) x = 10 years.

Q: In what way does ocean water move globally? 3388 0

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    Along cold water currents from the equator to the poles.
    Correct
    Wrong
  • 2
    Along warm water currents from the warmer regions to colder regions
    Correct
    Wrong
  • 3
    Along warm water currents from the equator to the poles
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 3. "Along warm water currents from the equator to the poles"
Explanation :

Answer: C) Along warm water currents from the equator to the poles Explanation:

Q: The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ? 3384 0

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

Answer: C) 4 Explanation: Let the number of boys in the group originally be x.Total weight of the boys = 30xAfter the boy weighing 35 kg joins the group, total weight of boys = 30x + 35So 30x + 35 + 31(x + 1) = > x = 4.

Q: 96% of the population of a village is 23040. The total population of the village is ? 3382 0

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    24000
    Correct
    Wrong
  • 2
    32256
    Correct
    Wrong
  • 3
    25478
    Correct
    Wrong
  • 4
    26587
    Correct
    Wrong
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Answer : 1. "24000"
Explanation :

Answer: A) 24000 Explanation: Let the total population be 'P' P x (96/100) = 23040 P = 240 * 100 P = 24000.

Q: Find the odd one out of the following number series? 9 5 6 14 56 488 3377 0

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    56
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    14
    Correct
    Wrong
  • 4
    5
    Correct
    Wrong
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Answer : 1. "56"
Explanation :

Answer: A) 56 Explanation: The given number series follows a pattern that, 9 9 x 0.5 + 0.5 = 5 5 x 1 + 1 = 6 6 x 2 + 2 = 14 14 x 4 + 4 = 60 (not equals to 56) 60 x 8 + 8 = 488.   Hence, the odd one in the given number series is 56.

Q: Equal quantities of three mixtures of milk and water are mixed in the ratio 1:2, 2:3 and 3:4. The ratio of water and milk in the mixture is ? 3375 0

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    193 : 122
    Correct
    Wrong
  • 2
    97 : 102
    Correct
    Wrong
  • 3
    115 : 201
    Correct
    Wrong
  • 4
    147 : 185
    Correct
    Wrong
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Answer : 1. "193 : 122"
Explanation :

Answer: A) 193 : 122 Explanation: Given the three mixtures ratio as (1:2),(2:3),(3:4) (1+2),(2+3),(3+4) Total content = 3,5,7   Given equal quantities of the three mixtures are mixed, then LCM of 3, 5, 7 = 105 105/3 = 35 , 105/5 = 21 , 105/7 = 15   Now, the individual equal quantity ratios are (35x1, 35x2), (21x2, 21x3), (15x3, 15x4)  i.e (35,70), (42,63), (45,60)   So overall mixture ratio of milk and water is 35+42+45 : 70+63+60 122:193   But in the question asked the ratio of water to milk = 193 : 122

Q: P and Q were assigned to do a work for an amount of 1200. P alone can do it in 15 days while Q can do it in 12 days. With the help of R they finish the work in 6 days. Find the share of R ? 3373 0

  • 1
    120
    Correct
    Wrong
  • 2
    240
    Correct
    Wrong
  • 3
    360
    Correct
    Wrong
  • 4
    180
    Correct
    Wrong
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Answer : 1. "120"
Explanation :

Answer: A) 120 Explanation: 1/15 + 1/12 + 1/R = 1/6, we got R = 60 (it means R will take 60 days to complete the work alone) so ratio of work done by P:Q:R = 1/15 : 1/12 : 1/60 = 5 : 4 : 1 so R share = (1/10) x 1200 = 120.

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