IIT JEE Practice Question and Answer

Q: Find the missing number? 15, 30, ? , 40, 8, 48 6976 0

  • 1
    21
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    19
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "10"
Explanation :

Answer: D) 10 Explanation: Given nuber series is 15, 30, ? , 40, 8, 48  Here the number series follows a pattern that 15 15 x 2 = 30 30 ÷ 3 = 10 10 x 4 = 40 40 ÷ 5 = 8 8 x 6 = 48 Hence, the missing number in the series is 10.

Q: Find the sum of the Arithmetic Series upto 36 terms 2, 5, 8, 11,... 1683 1

  • 1
    3924
    Correct
    Wrong
  • 2
    1962
    Correct
    Wrong
  • 3
    1684
    Correct
    Wrong
  • 4
    1452
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "1962"
Explanation :

Answer: B) 1962 Explanation: Arithmetic Series ::   An Arithmetic Series is a series of numbers in which each term increases by a constant amount.   How to find the sum of the Arithmetic Sequence or Series for the given Series ::   When the series contains a large amount of numbers, its impractical to add manually. You can quickly find the sum of any arithmetic sequence by multiplying the average of the first and last term by the number of terms in the sequence.   That is given by Sn = n(a1 + an)2 Where n = number of terms, a1 = first term, an = last term   Here Last term is given by an = a1 + n-1d where d = common difference   Now given Arithmetic Series is    2, 5, 8, 11,...   Here a1 = 2,  d = 3, n = 36    Now, an= a1 + n - 1d a36= 2 + 36 - 13 = 105 + 2 = 107    Now, Sum to 36 terms is given by   S36 = 36(2 + 107)2 = 36 x 1092 = 39242 = 1962       Therefore, Sum to 36 terms of the series 2, 5, 8, 11,... is 1962.

Q: A man pays Rs. 6.40 per litre of milk. He adds water and sells the mixture at Rs. 8 per litre, thereby making 37.5% profit. The proportion of water to milk received by the customers is 1409 0

  • 1
    1 : 10
    Correct
    Wrong
  • 2
    10 : 1
    Correct
    Wrong
  • 3
    9 : 11
    Correct
    Wrong
  • 4
    11 : 9
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "1 : 10"
Explanation :

Answer: A) 1 : 10 Explanation: Customer ratio of Milk and Water is given by Milk          ::        Water   6.4                         0          81 + 38 =6411  6411                      6410 - 6411  => Milk : Water = 110 : 11 = 10 : 1   Therefore, the proportionate of Water to Milk for Customer is 1 : 10

Q: 1 Billion Seconds Equals to 1593 0

  • 1
    34.76 years
    Correct
    Wrong
  • 2
    32.48 years
    Correct
    Wrong
  • 3
    33.31 years
    Correct
    Wrong
  • 4
    31.68 years
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "31.68 years"
Explanation :

Answer: D) 31.68 years Explanation: We know that 1 year = 365.25 days 1 day = 24 hours 1 hour = 60 minutes 1 minute = 60 seconds   => 1 Year = 365.25 x 24 x 60 x 60 Seconds But 1 billion seconds = ? 1 Year = 365.25 x 24 x 60 x 60 Seconds     ?     =  1000000000 Seconds   ? = 1000000000365.25 x 24 x 60 x 60 years = 31. 68 years.

Q: What is Black, when Clean and White, when Dirty? 1713 0

  • 1
    Shoes
    Correct
    Wrong
  • 2
    Car
    Correct
    Wrong
  • 3
    Chalkboard
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "Chalkboard"
Explanation :

Answer: C) Chalkboard Explanation: It is Blackboard or Chalkboard which is Black when clean, and as you write on it with white chalk it becomes dirty in White color.

Q: Smallest Taluk in Kerala State? 4020 0

  • 1
    Kunnathur
    Correct
    Wrong
  • 2
    Eranad
    Correct
    Wrong
  • 3
    Palakkad
    Correct
    Wrong
  • 4
    Alappuzha
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "Kunnathur"
Explanation :

Answer: A) Kunnathur Explanation: Kunnathur is the Smallest Taluk in Kerala State.   Taluk : In Kerala, the administrative divisions below the district are called Taluk. There are 77 Taluks in Kerala State. Eranad is the Largest Taluk in Kerala State. Palakkad is the Largest District in Kerala State. Alappuzha is the Smallest District in Kerala State.

Q: Monoculture is a typical characteristics of 1881 0

  • 1
    Specialized horticulture
    Correct
    Wrong
  • 2
    Commercial grain farming
    Correct
    Wrong
  • 3
    Shifting cultivation
    Correct
    Wrong
  • 4
    Subsitence farming
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "Commercial grain farming"
Explanation :

Answer: B) Commercial grain farming Explanation: Monoculture is a typical characteristics of Commercial grain farming. Monoculture is the agricultural practice of producing or growing a single crop, plant, or livestock species, variety, or breed in a field or farming system at a time focussing commercial gains. Monoculture is widely used in both industrial farming and organic farming and has allowed increased efficiency in planting and harvest. Polyculture, where more than one crop is grown in the same space at the same time, is the alternative to monoculture.

Q: How many weekends in a year? 1386 0

  • 1
    52
    Correct
    Wrong
  • 2
    53
    Correct
    Wrong
  • 3
    103
    Correct
    Wrong
  • 4
    104
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "104"
Explanation :

Answer: D) 104 Explanation: In normal we have 104 Weekend Days. We know that a Each normal year has 365 days or 52 weeks plus one day, and each week has two weekend days, which means there are approximately 104 weekend days each year. Whereas in a leap year we have 366 days it adds one more day to the year. And what makes the change is the starting day of the year.

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully