IIT JEE Practice Question and Answer

Q: A bird lover was asked how many birds he had in the basket. He replied that there were all parrots but six, all pigeons but six, and all koel but six. How many birds he had in the basket in all ? 3411 0

  • 1
    8
    Correct
    Wrong
  • 2
    18
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
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Answer : 3. "9"
Explanation :

Answer: C) 9 Explanation: There were all parrots but six means that six birds were not parrots but only pigeons and koels. Similarly, number of parrots + number of koels = 6 and number of parrots + number of pigeons = 6. This is possible when there are 3 parrots, 3 pigeons and 3 koels i.e. 9 birds in all.

Q: The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles  ? 3406 0

  • 1
    2413 sq.m
    Correct
    Wrong
  • 2
    1234 sq.m
    Correct
    Wrong
  • 3
    4312 sq.m
    Correct
    Wrong
  • 4
    2143 sq.m
    Correct
    Wrong
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Answer : 3. "4312 sq.m"
Explanation :

Answer: C) 4312 sq.m Explanation: Let the radii of the smaller and the larger circles be 's' m and 'l' m respectively.    2πs = 264 and 2πl = 352      s = 2642π and l = 3522π    Difference between the areas =πl2-πs2      = π1762π2-1322π2    = 1762π-1322π     = (176 - 132)(176 + 132) / π     = (44 x 308) / (22/7) = 4312 sq.m

Q: In a queue, Shankar is ninth from the rear end. Althaf's place is eighth from the front. Nitu is standing between the two. What could be the minimum numbers of boys standing in the queue ? 3405 0

  • 1
    18
    Correct
    Wrong
  • 2
    14
    Correct
    Wrong
  • 3
    22
    Correct
    Wrong
  • 4
    24
    Correct
    Wrong
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Answer : 2. "14"
Explanation :

Answer: B) 14 Explanation: 1 2 3 4 5 6(Shankar) 7(Nitu) 8(Althaf) 9 10 11 12 13 14Here, Althaf is 8th from front, Shankar is 9th from rear end and Nitu is between themSo minimum no. of boys standing in the queue = 14

Q: Sponge is to Porous as Rubber is to 3402 0

  • 1
    Inflexible
    Correct
    Wrong
  • 2
    Elastic
    Correct
    Wrong
  • 3
    Solid
    Correct
    Wrong
  • 4
    Massive
    Correct
    Wrong
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Answer : 2. "Elastic"
Explanation :

Answer: B) Elastic Explanation: A sponge is a porous material. Rubber is an elastic material.  Since Rubber is not a Massive or solid and not an inflexible thing, it is elastic.

Q: The calendar for the year 2018 will be the same for the year 3400 0

  • 1
    2023
    Correct
    Wrong
  • 2
    2027
    Correct
    Wrong
  • 3
    2029
    Correct
    Wrong
  • 4
    2022
    Correct
    Wrong
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Answer : 3. "2029"
Explanation :

Answer: C) 2029 Explanation: How to find the years which have the same Calendars :   Leap year calendar repeats every 28 years. Here 28 is distributed as 6 + 11 + 11.   Rules: a) If given year is at 1st position after Leap year then next repeated calendar year is Givenyear+6. b) If given year is at 2nd position after Leap year then next repeated calendar year is Givenyear+11. c) If given year is at 3rd position after Leap year then next repeated calendar year is Givenyear+11.   Now, the given year is 2018 We know that 2016 is a Leap year. 2016    2017    2018    2019  2020 Lp Y      1st     2nd      3rd     Lp Y   Here 2018 is at 2 nd position after the Leap year. According to rule b) the calendar of 2018 is repeated for the year is 2018 + 11 = 2029.

Q: The gas predominantly responsible for global warming is 3397 0

  • 1
    Carbon monoxide
    Correct
    Wrong
  • 2
    Nitrous oxide
    Correct
    Wrong
  • 3
    Nitrogen peroxide
    Correct
    Wrong
  • 4
    Carbondioxide
    Correct
    Wrong
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Answer : 4. "Carbondioxide"
Explanation :

Answer: D) Carbondioxide Explanation: 72% of the totally emitted greenhouse gases is carbon dioxide.   Hence, Carbon dioxide (Co2) is predominantly responsible for Global warming.

Q: Eight years ago, Ajay's age was 4/3 times that of Vijay. Eight years hence, Ajay's age will be 6/5 times that of Vijay. What is the present age of Ajay ? 3393 0

  • 1
    41 yrs
    Correct
    Wrong
  • 2
    40 yrs
    Correct
    Wrong
  • 3
    37 yrs
    Correct
    Wrong
  • 4
    33 yrs
    Correct
    Wrong
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Answer : 2. "40 yrs"
Explanation :

Answer: B) 40 yrs Explanation: Let the present ages of Ajay and Vijay be 'A' and 'V' years respectively. => A - 8 = 4/3 (V - 8) and A + 8 = 6/5 (V + 8) => 3/4(A - 8) = V - 8 and 5/6(A + 8) = V + 8 V = 3/4 (A - 8) + 8 = 5/6 (A + 8) - 8 => 3/4 A - 6 + 8 = 5/6 A + 20/3 - 8 => 10 - 20/3 = 10/12 A - 9/12 A => 10/3 = A/12 => A = 40.

Q: Three men, four women and six children can complete a work in 9 days. A women does  double the work a man does and a child does half the work a man does. How many women alone can complete this work in 9 days? 3392 0

  • 1
    7
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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Answer : 1. "7"
Explanation :

Answer: A) 7 Explanation: Given (3 Men + 4 Women + 6 Children) -----> 9 days But W = 2M and C = M/2 Now, convert Men and Children into Women by 3W2 + 4W + 6W4=> 32 + 4 + 32 = 7 Women  Therefore, 7 women alone can complete this work in 9 days.

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