IIT JEE Practice Question and Answer

Q: A merchant buys two items for Rs. 7500. One item he sells at a profit of 16% and the other item at 14% loss. In the deal, the merchant makes neither any profit nor any loss. What is the difference between the selling price of both the items? 2740 0

  • 1
    Rs. 620
    Correct
    Wrong
  • 2
    Rs. 654
    Correct
    Wrong
  • 3
    Rs. 725
    Correct
    Wrong
  • 4
    Rs. 747
    Correct
    Wrong
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Answer : 1. "Rs. 620"
Explanation :

Answer: A) Rs. 620 Explanation: Let the C.P of one item is Rs. P and that of other is Rs. (7500 - P) According to the data given C.P = S.P => Px(116/100) + (7500-P)x(86/100) = 7500 => 30P = 105000 => P = 3500 Required difference between selling prices = Rs. [(3500/100) x 116] - [(4000/100) x 86] = 4060-3440 = Rs. 620

Q: Where does the series number on a map appear? 2738 0

  • 1
    Upper right margin
    Correct
    Wrong
  • 2
    Lower left margin
    Correct
    Wrong
  • 3
    Both A & B
    Correct
    Wrong
  • 4
    Not Exist
    Correct
    Wrong
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Answer : 3. "Both A & B"
Explanation :

Answer: C) Both A & B Explanation: The series number is found in both the upper right margin and the lower left margin. It is a sequence reference expressed either as a four-digit numeral (1125) or as a letter, followed by a three- or four-digit numeral (M661, T7110).

Q: A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group ? 2736 0

  • 1
    600
    Correct
    Wrong
  • 2
    610
    Correct
    Wrong
  • 3
    609
    Correct
    Wrong
  • 4
    599
    Correct
    Wrong
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Answer : 1. "600"
Explanation :

Answer: A) 600 Explanation: Two men, three women and one child can be selected in ⁴C₂ x ⁶C₃ x ⁵C₁ ways = 600 ways.

Q: The average age of seven persons sitting in a row facing east is 26 years. If the average age of the first three persons is 19 years and the average age of the last three persons is 32 years, then find the age of the person sitting in the middle of the row ? 2736 0

  • 1
    32 yrs
    Correct
    Wrong
  • 2
    29 yrs
    Correct
    Wrong
  • 3
    24 yrs
    Correct
    Wrong
  • 4
    27 yrs
    Correct
    Wrong
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Answer : 2. "29 yrs"
Explanation :

Answer: B) 29 yrs Explanation: Total age seven persons = (26 x 7)yearsTotal age of the first three persons and the last three persons are (19 x 3) years and (32 x 3) years respectively.Age of the person sitting in the middle of the row = 26 x 7 - 19 x 3 - 32 x 3 = 182 - 57 - 96 = 29 years.

Q: If 4th december 1999 is Monday then what day is 3rd january 2000 ? 2732 0

  • 1
    Sunday
    Correct
    Wrong
  • 2
    Monday
    Correct
    Wrong
  • 3
    Tuesday
    Correct
    Wrong
  • 4
    Wednesday
    Correct
    Wrong
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Answer : 4. "Wednesday"
Explanation :

Answer: D) Wednesday Explanation: Here from 4th December 1999 to 3rd January 2000,there is a difference of 30 days.Number of odd days = 30/7 = 2 odd days Then no. of odd days = 2 => tuesday and wednesday(from monday). Hence on 3rd january it is wednesday.

Q: The reactivity of an atom arises from 2731 0

  • 1
    the existence of unpaired electrons in the valence shell
    Correct
    Wrong
  • 2
    the energy differences between the electron shells
    Correct
    Wrong
  • 3
    the sum of the potential energies of all the electron shells
    Correct
    Wrong
  • 4
    the average distance of the outermost electron shell from the nucleus
    Correct
    Wrong
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Answer : 1. "the existence of unpaired electrons in the valence shell"
Explanation :

Answer: A) the existence of unpaired electrons in the valence shell Explanation: When atoms react they do so in order to reach the lowest energy, which is the most stable. The electrons orbitals will overlap in the way that reduces the energy the most. Orbitals of similar energy will produce the greatest stabilisation.The answer you gave isn't the whole story, it depends what species is reacting with what. The effective nuclear charge on the atom will affect the energy of the valance electrons.   Hence, the reactivity of an atom arises from the existence of unpaired electrons in the valence shell.

Q: Careful is to Cautious as Boastful is to 2728 0

  • 1
    Surprisingly
    Correct
    Wrong
  • 2
    Happily
    Correct
    Wrong
  • 3
    Arrogant
    Correct
    Wrong
  • 4
    Humble
    Correct
    Wrong
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Answer : 3. "Arrogant"
Explanation :

Answer: C) Arrogant Explanation: Here the given words Careful and Cautious are related in such a way that they are Synonyms of each other. Therefore, Similarly Boastful is synonym to the word Arrogant. Happily and Humble are Antonyms of Boastful and Surprisingly is the word not related to Boastful in any way.   So, Careful is to Cautious as Boastful is to Arrogant.

Q: Which of these investments may pay dividends? 2721 0

  • 1
    Savings account
    Correct
    Wrong
  • 2
    Stocks
    Correct
    Wrong
  • 3
    Bonds
    Correct
    Wrong
  • 4
    Certificates of deposit
    Correct
    Wrong
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Answer : 2. "Stocks"
Explanation :

Answer: B) Stocks Explanation: Stock investment may pay the dividends. The amount of dividend will be depended on how many stocks you own and how much is that's company net income in that year For example : If you own 15 % of the company, and the company announced that they will pay Rs. 1,00,000 as dividend this year, you will get dividend payment of Rs. 15,000.

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