IIT JEE Practice Question and Answer

Q: A man spend Rs. 810 in buying trouser at Rs. 70 each and shirt at Rs. 30 each. What will be the ratio of trouser and shirt when the maximum number of trouser is purchased ? 3078 0

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

Answer: C) 3:2 Explanation: Let us assume S as number of shirts and T as number of trousersGiven that each trouser cost = Rs.70 and that of shirt = Rs.30Therefore, 70 T + 30 S = 810=> 7T + 3S = 81......(1)T = ( 81 - 3S )/7 We need to find the least value of S which will make (81 - 3S) divisible by 7 to get maximum value of TSimplifying by taking 3 as common factor i.e, 3(27-S) / 7In the above equation least value of S as 6 so that 27- 3S becomes divisible by 7 Hence T = (81-3xS)/7 = (81-3x6)/7 = 63/7 = 9 Hence for S, put T in eq(1), we getS = 81-7(9)/3 = 81-63 / 3 = 18/3 = 6.The ratio of T:S = 9:6 = 3:2.

Q: From the following pairs, find the one which is correctly matched? 3077 0

  • 1
    Scurvy- Thiamine
    Correct
    Wrong
  • 2
    Tuberculosis- ATS
    Correct
    Wrong
  • 3
    Tetanus- BCG
    Correct
    Wrong
  • 4
    Malaria- Chloroquine
    Correct
    Wrong
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Answer : 4. "Malaria- Chloroquine"
Explanation :

Answer: D) Malaria- Chloroquine Explanation: Chloroquine is a medication used to prevent and to treat malaria.

Q: The main function of a school board is to 3077 0

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    manage public schools in accordance with state and federal law.
    Correct
    Wrong
  • 2
    raise revenue for public schools through local taxes and fees.
    Correct
    Wrong
  • 3
    propose and legislate state laws that affect the public schools.
    Correct
    Wrong
  • 4
    serve as a school’s principals, teachers, and administrators.
    Correct
    Wrong
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Answer : 1. "manage public schools in accordance with state and federal law."
Explanation :

Answer: A) manage public schools in accordance with state and federal law. Explanation: The main function of a school board is to manage public schools in accordance with state and federal law. The functions of the school board of a public school are: • to establish strategic direction and priorities for the school. • to monitor and review school performance and to report on it to the Director-General, parents of students at the school and staff. • to develop, maintain and review curriculum for the school. • to develop and review education policies at the school. • to establish budgetary policies for the school and approve the school budget. • to establish policies for the efficient and effective use of school assets and the management of financial risk. • to develop relationships between the school and the community and between the school and community organisations. • to make recommendations to the Director-General on issue affecting the school and to give effect to the Director-General’s directions. • to encourage parent participation in their children’s learning; and • to exercise any other function given to the board under this Act or any otherTerritory law.

Q: Find the next number in the sequence? 28, 16, 28, 76, 274 3069 0

  • 1
    1233
    Correct
    Wrong
  • 2
    1243
    Correct
    Wrong
  • 3
    1256
    Correct
    Wrong
  • 4
    1276
    Correct
    Wrong
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Answer : 2. "1243"
Explanation :

Answer: B) 1243 Explanation: Given number sequence is 28, 16, 28, 76, 274 Here the sequence follows a pattern that 28 28 x 0.5 + 2 = 14 + 2 = 16 16 x 1.5 + 4 = 24 + 4 = 28 28 x 2.5 + 6 = 70 + 6 = 76 76 x 3.5 + 8 = 266 + 8 = 274 274 x 4.5 + 10 = 1233 + 10 = 1243   Hence, the next number in the given number sequence is 1243.

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Answer : 4. "31"
Explanation :

Answer: D) 31 Explanation: Let y be the total number of loavesa be the remaining loaves after 1st thiefb be the remaining loaves after 2nd thiefand c, d..so on after 3 and 4 the = 0 be the remaining loaves after 5th thief a = y - (y/2 + 1/2)= y/2 - 1/2 b = a - (a/2 + 1/2)= a/2 - 1/2 c = b - (b/2 + 1/2)= b/2 - 1/2 d = c - (c/2 + 1/2)= c/2 - 1/2 e = d - (d/2 + 1/2)= d/2 - 1/2we know that, e = 0,thus by substitution, we getd = 1c = 3b = 7a = 15y = 31Therefore total number of bread loaves in bakery was 31.

Q: What is the main component of biogas and natural gas? 3065 0

  • 1
    Carbon dioxide
    Correct
    Wrong
  • 2
    Butane
    Correct
    Wrong
  • 3
    Hydrogen Sulphide
    Correct
    Wrong
  • 4
    Methane
    Correct
    Wrong
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Answer : 4. "Methane"
Explanation :

Answer: D) Methane Explanation: Methane is the main component of biogas and natural gas.

Q: A check returned by the bank marked nsf means 3064 0

  • 1
    Cheque has been forged
    Correct
    Wrong
  • 2
    Cheque can't be cashed being illegal
    Correct
    Wrong
  • 3
    There are not sufficient funds in your accoun
    Correct
    Wrong
  • 4
    Bank can't verify your identity
    Correct
    Wrong
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Answer : 3. "There are not sufficient funds in your accoun"
Explanation :

Answer: C) There are not sufficient funds in your accoun Explanation: NSF means - Not Sufficient Funds.

Q: When water freezes its density 3050 0

  • 1
    decreases
    Correct
    Wrong
  • 2
    remains constant
    Correct
    Wrong
  • 3
    increases
    Correct
    Wrong
  • 4
    become zero
    Correct
    Wrong
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Answer : 1. "decreases"
Explanation :

Answer: A) decreases Explanation: When water freezes its density decreases. Water at ordinary temperatures contracts and increases in density as it is cooled, like most substances. But at about 4°C it reaches a maximum density and then decreases in density as it approaches the freezing point.

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