IIT JEE Practice Question and Answer

Q: Minute hand overlaps hour hand in 65 mins. In how many days it will gain 1440 hours ? 2212 0

  • 1
    57 days
    Correct
    Wrong
  • 2
    58 days
    Correct
    Wrong
  • 3
    60 days
    Correct
    Wrong
  • 4
    61 days
    Correct
    Wrong
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Answer : 3. "60 days"
Explanation :

Answer: C) 60 days Explanation: In this problem , it has considered that 65 mins = 1hr So mins has increased by 5 mins so multiply 5 x 24 = 120 mins extra ,That is now per day it adds 2hr extra, so divide 1440/26 = 59.384 days =~ 60 days.

Q: Which day is observed as Rashtriya Ekta Diwas every year in India? 2211 0

  • 1
    31st July
    Correct
    Wrong
  • 2
    31st March
    Correct
    Wrong
  • 3
    31st January
    Correct
    Wrong
  • 4
    31st October
    Correct
    Wrong
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Answer : 4. "31st October"
Explanation :

Answer: D) 31st October Explanation:

Q: Population of a colony of mosquitoes is increasing by 20% per day. If the population on Monday was 3000, on which day of that week the population would be 5184 ? 2211 0

  • 1
    Thursday
    Correct
    Wrong
  • 2
    Friday
    Correct
    Wrong
  • 3
    Tuesday
    Correct
    Wrong
  • 4
    Monday
    Correct
    Wrong
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Answer : 1. "Thursday"
Explanation :

Answer: A) Thursday Explanation: Given monday population = 3000Per day 20% increase in population. Tuesday population = 3000 + 3000x20/100 = 3000 + 600 = 3600 Wednesday population =3600 + 3600x20/100 = 3600 + 720 = 4320 Thursday population = 4320 + 4320x20/100 = 4320 + 864 = 5184 So that day is Thursday.

Q: A decision committee of 5 members is to be formed out of 4 Actors, 3 Directors and 2 Producers. In how many ways a committee of 2 Actors, 2 Directors and 1 Producer can be formed ? 2211 0

  • 1
    18
    Correct
    Wrong
  • 2
    24
    Correct
    Wrong
  • 3
    36
    Correct
    Wrong
  • 4
    32
    Correct
    Wrong
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Answer : 3. "36"
Explanation :

Answer: C) 36 Explanation: Required Number of ways = 4C2 × 3C2 × 2C1 = 36 = 36

Q: What should come next in the following letter series based on English alphabet ?CEA JLH QSO ? 2210 0

  • 1
    WYU
    Correct
    Wrong
  • 2
    UXW
    Correct
    Wrong
  • 3
    WXV
    Correct
    Wrong
  • 4
    XZV
    Correct
    Wrong
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Answer : 4. "XZV"
Explanation :

Answer: D) XZV Explanation: In the given series, each letter moves seven letters forward to obtain the next.So, XZV replaces ? in the series.

Q: 5 boys and 3 girls can together cultivate a 23 acre field in 4 days and 3 boys and 2 girls together can cultivate a 7 acre field in 2 days. How many girls will be needed together with 7 boys, if they cultivate 45 acres of field in 6 days? 2208 0

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

Answer: C) 2 Explanation: Let workdone 1 boy in 1 day be b and that of 1 girl be g From the given data, 4(5b + 3g) = 23 20b + 12g = 23 .......(a)   2(3b + 2g) = 7 6b + 4g = 7 ........(b)   Solving (a) & (b), we get b = 1, g = 1/4   Let number og girls required be 'p' 6(7 x 1 + p x 1/4) = 45 => p = 2.   Hence, number of girls required = 2

Q: A Child has 1200 five rupee coins. He wants to place them in such a way that the number of rows and the number of columns remains the same. What is the minimum number of coins that he needs more for this purpose? 2208 0

  • 1
    125
    Correct
    Wrong
  • 2
    96
    Correct
    Wrong
  • 3
    35
    Correct
    Wrong
  • 4
    25
    Correct
    Wrong
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Answer : 4. "25"
Explanation :

Answer: D) 25 Explanation: We know that, to be in the form that the number of rows and the number of columns to be equal the number should be a perfect square (a2). Given number is 1200 The perfect number which is above and near to 1200 is 1225 which is 35  35. Therefore, The minimum number of coins he need is 25.

Q: The average monthly salary of 24 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 400. What is the manager's monthly salary ? 2207 0

  • 1
    Rs. 8840
    Correct
    Wrong
  • 2
    Rs. 11,500
    Correct
    Wrong
  • 3
    Rs. 12,800
    Correct
    Wrong
  • 4
    Rs. 9450
    Correct
    Wrong
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Answer : 2. "Rs. 11,500"
Explanation :

Answer: B) Rs. 11,500 Explanation: Manager's monthly salary = Rs. (1900 x 25 - 1500 x 24) = Rs. 11,500

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