IIT JEE Practice Question and Answer

Q: A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior ? 5447 0

  • 1
    ²²C₁₀ + 1
    Correct
    Wrong
  • 2
    ²²C₉ + ¹⁰C₁
    Correct
    Wrong
  • 3
    ²²C₁₀
    Correct
    Wrong
  • 4
    ²²C₁₀ - 1
    Correct
    Wrong
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Answer : 4. "²²C₁₀ - 1"
Explanation :

Answer: D) ²²C₁₀ - 1 Explanation: The total number of ways of forming the group of ten representatives is ²²C₁₀. The total number of ways of forming the group that consists of no seniors is ¹⁰C₁₀ = 1 way The required number of ways = ²²C₁₀ - 1

Q: In a certain coding language, iF GO = 32 & SHE = 49 then SOME will be equal to ? 5422 0

  • 1
    56
    Correct
    Wrong
  • 2
    58
    Correct
    Wrong
  • 3
    62
    Correct
    Wrong
  • 4
    64
    Correct
    Wrong
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Answer : 1. "56"
Explanation :

Answer: A) 56 Explanation: If we count letters till the end of the alphabet including that letter in reverse order then Here the values are nothing but the values corresponding to the alphabets when taken in a reverse order,i.e,A=26 ,B=25...,Z=1G = 20 and O = 12 totaling 32S = 8, H = 19 and E = 22 totaling 49 So SOME = 8 + 12 + 14 + 22 = 56.

Q: Boy, man, uncle, fireman, grandfather are... 5388 0

  • 1
    Feminine titles
    Correct
    Wrong
  • 2
    Masculine titles
    Correct
    Wrong
  • 3
    Both Feminine and Masculine titles
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 2. "Masculine titles"
Explanation :

Answer: B) Masculine titles Explanation: As they are the titles of male gender, they are called as Masculine titles.

Q: Which is the gas used for making vegetables and vanaspathi from vegetable oils? 5364 0

  • 1
    Hydrogen
    Correct
    Wrong
  • 2
    Nitrogen
    Correct
    Wrong
  • 3
    Argon
    Correct
    Wrong
  • 4
    Helium
    Correct
    Wrong
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Answer : 1. "Hydrogen"
Explanation :

Answer: A) Hydrogen Explanation: Hydrogen gas is used for making vegetables and vanaspathi from vegetable oils. As it is colourless, odourless, tasteless, flammable gaseous substance, it is added to oils to make them more solid or spreadable. The use of hydrogenation helps to prolong the shelf life of the food and maintain flavour stability.

Q: 2 is to 55 as 6 is to 5356 0

  • 1
    99
    Correct
    Wrong
  • 2
    44
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    33
    Correct
    Wrong
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Answer : 1. "99"
Explanation :

Answer: A) 99 Explanation: Given 2 is to 55 2 + 3 = 5  5 x 11 = 55 Similarly, 6 6 + 3 = 9 9 x 11 = 99   Hence, 2 is to 55 as 6 is to 99.

Q: 'P' walked 1 km towards south direction and turned  90oACW and walked 2 km. Then he turned his left and walked 1 km and then he turned his right and walked 2 km. After that he turned 90o ACW and walked 3 km. How far is he from the starting point ? 5340 0

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

Answer: A) 5 km Explanation:

Q: The Study of Ancient Societies is called 5327 0

  • 1
    Anthropology
    Correct
    Wrong
  • 2
    Archaeology
    Correct
    Wrong
  • 3
    History
    Correct
    Wrong
  • 4
    Ethnology
    Correct
    Wrong
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Answer : 2. "Archaeology"
Explanation :

Answer: B) Archaeology Explanation: Archaeology is the science which studies ancient societies based on their material remains. Through the analysis of objects and those works constructed by ancient peoples, this science can arrive at conclusions about their culture and their ways of life. There are several branches of Archaeology as well as many tools relevant to this science.

Q: A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal. The share of C is ? 5323 0

  • 1
    64
    Correct
    Wrong
  • 2
    76
    Correct
    Wrong
  • 3
    84
    Correct
    Wrong
  • 4
    98
    Correct
    Wrong
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Answer : 3. "84"
Explanation :

Answer: C) 84 Explanation: Given total sum = Rs. 427And given that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal.=> 3A = 4B = 7CBut given=> A + B + C = 427Now express A and B in terms of C i.e=> (7C/3) + (7C/4) + C = 427=> C = 84

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