IIT JEE Practice Question and Answer

Q: What is the first term of an arithmetic progression of positive integers ? (I) Sum of the squares of the first and the second term is 116. (II)The fifth term is divisible by 7. 1833 0

  • 1
    Only a is sufficient
    Correct
    Wrong
  • 2
    Only b is sufficient
    Correct
    Wrong
  • 3
    Both a & b are necessary
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 1. "Only a is sufficient"
Explanation :

Answer: A) Only a is sufficient Explanation: The sum of square of two no is 116 i.e no lie 1-11, because 11x11 =121 which is greater than 116 again after cheaking all possible pair of no only 4 and 10 satisfy this condsn , again the progression is of positive integer so 10 cant not be 1st termso the 1st term is 4,but from the 2nd we cant able to find the 1st term so only 1st statement is sufficient to answer the question

Q: A teacher multiplies 987 by a certain number and obtains 556781 as her answer. If in the answer, both 6 and 7 are wrong but the other digits are correct, then the correct answer will be 1833 0

  • 1
    553681
    Correct
    Wrong
  • 2
    555181
    Correct
    Wrong
  • 3
    556581
    Correct
    Wrong
  • 4
    555681
    Correct
    Wrong
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Answer : 4. "555681"
Explanation :

Answer: D) 555681 Explanation: Given number is 987 = 3 x 7 x 47. So, required number must be divisible by each one of 3, 7, 47. None of the numbers in 553681 and 555181 are divisible by 3. While 556581 is not divisible by 7.Correct answer is 555681.

Q: The cost price of an article is 54% of the marked price. Calculate the gain percent after allowing a discount of 15%  ? 1832 0

  • 1
    51.32 %
    Correct
    Wrong
  • 2
    49.23 %
    Correct
    Wrong
  • 3
    48.4 %
    Correct
    Wrong
  • 4
    46.8 %
    Correct
    Wrong
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Answer : 3. "48.4 %"
Explanation :

Answer: C) 48.4 % Explanation: Let marked price = Rs. 100. Then, C.P. = RS. 54, S.P. = Rs. 85Gain % = 31/64 x 100 = 48.4%.

Q: 18 tens 20 ones = 1832 0

  • 1
    1820
    Correct
    Wrong
  • 2
    180
    Correct
    Wrong
  • 3
    200
    Correct
    Wrong
  • 4
    160
    Correct
    Wrong
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Answer : 3. "200"
Explanation :

Answer: C) 200 Explanation: 18 tens 20 ones, the given stateent can be split into 18 tens = 18 x 10 = 180 20 ones = 20 x 1 = 20   Then add both => 180 + 20 = 200   Hence, 18 tens 20 ones = 200.

Q: A shopkeeper sells two articles at Rs.1000 each, making a profit of 30% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes ? 1832 0

  • 1
    0.85 %
    Correct
    Wrong
  • 2
    0.95 %
    Correct
    Wrong
  • 3
    1.0 %
    Correct
    Wrong
  • 4
    1.3 %
    Correct
    Wrong
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Answer : 2. "0.95 %"
Explanation :

Answer: B) 0.95 % Explanation: SP of first article = 1000Profit = 30%CP = (SP)x[100/(100+P)] = 10000/13 SP of second article = 1000Loss = 20%CP = (SP)x[100/(100-L)] = 5000/4 = 1250 Total SP = 2000 Total CP = 10000/13 + 1250 = 2019.23 CP is more than SP, he makes a loss. Loss = CP-SP = 2019.23 - 2000 = 19.23Loss Percent = [(19.23)/(2019.23)]x100 = 0.95 %.

Q: Which best describes an element? 1832 0

  • 1
    An element is composed of identical atoms
    Correct
    Wrong
  • 2
    A pure substance
    Correct
    Wrong
  • 3
    a material that has consistent chemical properties
    Correct
    Wrong
  • 4
    Both A & B
    Correct
    Wrong
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Answer : 4. "Both A & B"
Explanation :

Answer: D) Both A & B Explanation: An Element is a pure substance of one type of atom. In chemistry, any material such as carbon, hydrogen, iron, or oxygen that cannot be broken down into more fundamental substances is nothing but an element.

Q: What has a head and a tail but nobody? 1831 0

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Answer :
Explanation :

A Coin has a Head and tail but no body. Since the two sides of coin are called as heads and tails.

Q: Find the Missing Number Puzzle for the Given 1831 0

  • 1
    8
    Correct
    Wrong
  • 2
    16
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    12
    Correct
    Wrong
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Answer : 3. "9"
Explanation :

Answer: C) 9 Explanation: Given   6 = 3 => Number of letters in SIX = 3   12 = 6 => Number of letters in TWELVE = 6   14 = 8 => Number of letters in FOURTEEN = 8   Similarly,   22 = 9 => Number of letters in TWENTY TWO = 9           Therefore, 22 = 9.

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