IIT JEE Practice Question and Answer

Q: The average of the ages of Sumit, Krishna and Rishabh is 43 years and the average of the ages of Sumit, Rishabh and Rohit is 49 years. If Rohit is 54 years old, what is Krishna'a age ? 2077 0

  • 1
    48 yrs
    Correct
    Wrong
  • 2
    42 yrs
    Correct
    Wrong
  • 3
    40 yrs
    Correct
    Wrong
  • 4
    36 yrs
    Correct
    Wrong
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Answer : 4. "36 yrs"
Explanation :

Answer: D) 36 yrs Explanation: Let present ages of Sumit=w, Krishna=x, Rishabh=y and Rohit=z , thenw+x+y = 43x3 = 129 ---(i) andw+y+z = 49x3 = 147 ---(ii)Subtracting (i) from (ii), (w+y+z) - (w+x+y)=147 -129 , z- x =18 ---(iii)Given Rohit's age => z = 54, so from (iii), x = 54-18 = 36

Q: 4 men can repair a road in 7 hours. How many men are required to repair the road in 2 hours ? 10467 0

  • 1
    17 men
    Correct
    Wrong
  • 2
    14 men
    Correct
    Wrong
  • 3
    13 men
    Correct
    Wrong
  • 4
    16 men
    Correct
    Wrong
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Answer : 2. "14 men"
Explanation :

Answer: B) 14 men Explanation: M x T / W = Constantwhere, M= Men (no. of men)T= Time takenW= Work loadSo, here we applyM1 x T1/ W1 = M2 x T2 / W2Given that, M1 = 4 men, T1 = 7 hours ; T2 = 2 hours, we have to find M2 =?Note that here, W1 = W2 = 1 road, ie. equal work load.Clearly, substituting in the above equation we get, M2 = 14 men.

Q: Which of the following birds is the state bird of three Indian states ? 7745 0

  • 1
    Great Hornbill
    Correct
    Wrong
  • 2
    Greater Flamingo
    Correct
    Wrong
  • 3
    Hill Mynah
    Correct
    Wrong
  • 4
    Blue Jay (Indian Roller)
    Correct
    Wrong
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Answer : 4. "Blue Jay (Indian Roller)"
Explanation :

Answer: D) Blue Jay (Indian Roller) Explanation: The 3 states are Andhra Pradesh, Karnataka and Odisha.

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Answer : 3. "23"
Explanation :

Answer: C) 23 Explanation: Let us assume the two persons who can speak two languages speak Hindi and Tamil. The third person then speaks all the three languages. Tamil – Number of persons who can speak is 6. Only Tamil 6 – 2 – 1 = 3 Hindi - Number of persons who can speak is 15. Only Hindi 15 – 2 – 1 12 Gujarati – Number of persons who can speak is 6. Only Gujarati 6 – 1 = 5 Thus the number of persons who can speak only one language is 3 + 12 + 5 = 20 Number of persons who can speak two languages = 2 Number of person who an speak all the languages = 1 Total number of persons = 23.

Q: Find the next number in te given series ? 5, 25, 61, 113, ... 5858 0

  • 1
    142
    Correct
    Wrong
  • 2
    181
    Correct
    Wrong
  • 3
    156
    Correct
    Wrong
  • 4
    179
    Correct
    Wrong
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Answer : 2. "181"
Explanation :

Answer: B) 181 Explanation: Here the series follow the rule that 12+22 = 5 32+42 = 2552+62 = 61 72+82 = 113   SO NEXT IS, 92+102 = 181

Q: Find the missing alphabet in the given sequence ? A, Z, Y, B, C, ?, W, D 4370 0

  • 1
    E
    Correct
    Wrong
  • 2
    Z
    Correct
    Wrong
  • 3
    X
    Correct
    Wrong
  • 4
    F
    Correct
    Wrong
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Answer : 3. "X"
Explanation :

Answer: C) X Explanation: first letter A with last letter Zsimilarly 2nd last letter Y with 2nd letter BNow 3rd letter C with 3rd last letter X4th last letter W with 4th letter D and so on.... Therefore the missing letter is X

Q: Find the remainder when 629 is divided by 5 ? 1199 0

  • 1
    0
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    5
    Correct
    Wrong
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Answer : 2. "1"
Explanation :

Answer: B) 1 Explanation: All powers of 6 has 6 in units place so answer will definitely be 1.

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Answer : 1. "25"
Explanation :

Answer: A) 25 Explanation: Let x be number of houses and y be colors. on the basis of question x = 4y+1x = 5(y-1)on solving these 2 equations x = 25

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