IIT JEE Practice Question and Answer

Q: A shopkeeper sells one-third of his goods at a profit of 10%, another one-third at a profit of 20%, and the rest at a loss of 6%.What is his overall profit percentage ? 1877 0

  • 1
    6%
    Correct
    Wrong
  • 2
    8%
    Correct
    Wrong
  • 3
    10%
    Correct
    Wrong
  • 4
    12%
    Correct
    Wrong
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Answer : 2. "8%"
Explanation :

Answer: B) 8% Explanation: Let the shopkeeper buy 300g for Rs.300. Now he sells 100g for Rs.110, another 100g for Rs120, and the rest 100g for Rs94.    Therefore, the total amount he receives = Rs.110 + Rs.120 + Rs.94 = 324.    Therefore, the shopkeeper spends Rs.300 and gets back Rs.324.   Therefore, his profit percentage = 24300x100 % = 8%

Q: Replace each letter for a unique digit so that the equation is correct 1387 0

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Answer :
Explanation :

(1+9+6+8+3) x (1+9+6+8+3) x (1+9+6+8+3) = 19683

Q: A retailer buys product from a shopkeeper at discount of 40% on the list price (marked price) and sells them to the customer at a discount of 25% on the list price.What is his profit percentage ? 2138 0

  • 1
    10%
    Correct
    Wrong
  • 2
    15%
    Correct
    Wrong
  • 3
    20%
    Correct
    Wrong
  • 4
    25%
    Correct
    Wrong
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Answer : 4. "25%"
Explanation :

Answer: D) 25% Explanation: Let the list price be Rs.100.    Therefore, the retailer is buying the products at Rs.60 and selling it to the customer at Rs.75, earning a profit of Rs.15.   Therefore, his percentage is = 1560x100 = 25%

Q: In a Certain Country 1/2 of 5 = 3. If the same proportion holds, what is the value of 1/3 of 10 ? 1682 0

  • 1
    4
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    8
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
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Answer : 1. "4"
Explanation :

Answer: A) 4 Explanation: Let 1310 = x  => 3x = 10   Given that 125=3   Therefore, 52x = 10    => x = 10/3 = 4.

Q: In a certain office, 1/3 of workers are women, 1/2 of the women are married and 1/3 of the married women have children. If 3/4  of the men are married and 2/3  of the married men have children, what part of the workers are without children? 1364 0

  • 1
    5/18
    Correct
    Wrong
  • 2
    4/9
    Correct
    Wrong
  • 3
    11/18
    Correct
    Wrong
  • 4
    17/36
    Correct
    Wrong
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Answer : 3. "11/18"
Explanation :

Answer: C) 11/18 Explanation: Let the total number of workers be x. Then,    Number of women = x/3 and number of men = x - x/3  = 2x/3   Number of women having children = x/18   Number of men having children = x/3   Number of workers having children = (x/18) + (x/3) = 7x/18    Therefore, workers having no children = x - 7x/18 = 11/18 of all workers.

Q: In which year was the Supreme Court of India established? 1620 0

  • 1
    1951
    Correct
    Wrong
  • 2
    1949
    Correct
    Wrong
  • 3
    1950
    Correct
    Wrong
  • 4
    1947
    Correct
    Wrong
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Answer : 3. "1950"
Explanation :

Answer: C) 1950 Explanation: The Supreme Court of India was established in the year 1950.

Q: The first Law Officer of the Government of India is the 3999 0

  • 1
    Union Law Minister
    Correct
    Wrong
  • 2
    Secreatary, Ministry of Law
    Correct
    Wrong
  • 3
    Attorney-General for India
    Correct
    Wrong
  • 4
    Chief Justice of the Supreme Court
    Correct
    Wrong
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Answer : 3. "Attorney-General for India"
Explanation :

Answer: C) Attorney-General for India Explanation: Attorney-General for India is the  first Law Officer of the Government of India. He is is the Indian government's chief legal advisor, and its primary lawyer in the Supreme Court of India. The Solicitor General of India is below the Attorney General for India, who is the secondary law officer of the country, assists the Attorney General, and is himself assisted by several Additional Solicitors General of India.

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? 1590 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.

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