IIT JEE Practice Question and Answer

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 ? 6046 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

Q: Convent : Cloister :: Eyrie : ? 6003 0

  • 1
    Show
    Correct
    Wrong
  • 2
    Open
    Correct
    Wrong
  • 3
    Hide
    Correct
    Wrong
  • 4
    Nest
    Correct
    Wrong
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Answer : 4. "Nest"
Explanation :

Answer: D) Nest Explanation: Here the first two words are synonyms. Similarly, Eyrie means a large nest. So, the synonym of Eyrie is nest.   Hence, Convent : Cloister :: Eyrie : Nest.

Q: Vaunt : Flaunt :: Disparate : ? 5984 0

  • 1
    Similar
    Correct
    Wrong
  • 2
    Homogenous
    Correct
    Wrong
  • 3
    Contrast
    Correct
    Wrong
  • 4
    Alike
    Correct
    Wrong
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Answer : 3. "Contrast"
Explanation :

Answer: C) Contrast Explanation: Vaunt - Vaunt means to boast or to praise about something excessively. Flaunt - Flaunt also means to boast about something or to praise something.   Flaunt is the synonym of the word Vaunt.   Disparate - Disparate means essentially different in its kind or unlike or not able to be compared. Then the required word is the synonym of Disparate.   Here in the given options, Contrast is the only word which is similar in meaning of Disparate.   Hence, Vaunt : Flaunt :: Disparate : Contrast.

Q: Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions  ? 5968 0

  • 1
    27 sec
    Correct
    Wrong
  • 2
    31 sec
    Correct
    Wrong
  • 3
    23 sec
    Correct
    Wrong
  • 4
    29 sec
    Correct
    Wrong
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Answer : 1. "27 sec"
Explanation :

Answer: A) 27 sec Explanation: Time taken to meet for the first time anywhere on the track = length of the track / relative speed = 300 / (15 + 25)5/18 = 300x 18 / 40 x 5 = 27 seconds.

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 ? 5967 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: Which is the gas used for making vegetables and vanaspathi from vegetable oils? 5962 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: The Study of Ancient Societies is called 5957 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: 2 is to 55 as 6 is to 5957 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.

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