IIT JEE Practice Question and Answer

Q: A batsman scored 180 runs which included 11 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets ? 1804 0

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    62.45%
    Correct
    Wrong
  • 2
    51.42%
    Correct
    Wrong
  • 3
    48.88%
    Correct
    Wrong
  • 4
    47.32%
    Correct
    Wrong
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Answer : 3. "48.88%"
Explanation :

Answer: C) 48.88% Explanation: Number of runs made by running = 180 - (11 x 4 + 8 x 6)= 180 - (92)= 88Now, we need to calculate 88 is what percent of 180.⇒88180×100  = 48.888%.

Q: The sides of a right-angled triangle are 12 cm, 16 cm, 20 cm respectively. A new right angle Δ is made by joining the midpoints of all the sides. This process continues for infinite then calculate the sum of the areas of all the triangles so made. 1804 0

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    312 sq.cm
    Correct
    Wrong
  • 2
    128 sq.cm
    Correct
    Wrong
  • 3
    412 sq.cm
    Correct
    Wrong
  • 4
    246 sq.cm
    Correct
    Wrong
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Answer : 2. "128 sq.cm"
Explanation :

Answer: B) 128 sq.cm Explanation: Area =    = 96   Sum of Area =

Q: What type of macromolecule is DNA? 1801 0

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    Proteins
    Correct
    Wrong
  • 2
    Carbohydrates
    Correct
    Wrong
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    Nucleic acids
    Correct
    Wrong
  • 4
    All of the above
    Correct
    Wrong
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Answer : 3. "Nucleic acids"
Explanation :

Answer: C) Nucleic acids Explanation: DNA stands for Deoxyribo nucleic acid. It is a nucleic acid made up of monomeric unit called Nucleotide. A nucleotide consist of - a) Sugar - Deoxyribose in DNA ( ribose in RNA) b) An organic base- Adenine, cytosine, guanine.

Q: The ratio of present ages of Hema and Chinnu is 13:17. Four years ago the ratio of their ages was 11:15. What will be the ratio of their ages six years hence ? 1800 0

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    3 : 7
    Correct
    Wrong
  • 2
    7 : 9
    Correct
    Wrong
  • 3
    4 : 5
    Correct
    Wrong
  • 4
    1 : 3
    Correct
    Wrong
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Answer : 3. "4 : 5"
Explanation :

Answer: C) 4 : 5 Explanation: Let their present ages be 13x and 17x.Then, 13x-4/17x-4 = 11/15. Solving this, we get x = 2.Required ratio = 13x2 + 6/17x2 + 6 = 32/40 = 4/5.

Q: The oxidation number of Cr in K2Cr2O7 is 1800 0

  • 1
    +6
    Correct
    Wrong
  • 2
    -5
    Correct
    Wrong
  • 3
    +3
    Correct
    Wrong
  • 4
    -4
    Correct
    Wrong
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Answer : 1. "+6"
Explanation :

Answer: A) +6 Explanation: We will rewrite the formula as an equation. 2K + 2Cr + 7O = 0 The zero comes from there being no overall charge on the compound. Each oxidation number is represented by the element's symbol. Since this compound is not a peroxide or superoxide, the oxidation value for O is -2 K being in group 1 has a +1 charge and therefore has an oxidation number of K is +1 Now, by putting known values in we have: 2(+1) + 2(Cr) + 7(-2) = 0 2 + 2Cr -14 = 0 2Cr = +12 Cr = +6.

Q: Iron rusting, chemical or physical change 1800 0

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    Chemical
    Correct
    Wrong
  • 2
    Physical
    Correct
    Wrong
  • 3
    Both A & B
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 1. "Chemical"
Explanation :

Answer: A) Chemical Explanation: In rusting the Iron ore make a chemical reaction with the oxygen in the presence of water and environmental or atmospheric moisture to produce an Iron oxide. Iron oxide is otherwise called as rust. The rusting of iron is a chemical change because it is two substances reacting together to make a new substance.

Q: A motorboat takes half time to cover a certain distance downstream than upstream. What is the ratio between rate of current and rate of boat in still water? 1800 0

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

Answer: A) 1 : 3 Explanation: Let the speed of the boat in still water is 'w' Speed of the current is 'c' Let the distance between two places is 'd' According to the question, motorboat takes half time to cover a certain distance downstream than upstream. dw+c = 12dw-c => 2w - 2c = w + c => w = 3c => c : w = 1 : 3   Hence, the ratio between rate of current(c) and rate of boat in still water(w) = 1 : 3

Q: A polygenic trait is controlled by 3 genes A, B and C. In a cross AaBbCc x AaBbCc, the phenotypic ratio of the offsprings was observed as 1 : 6 : m : 20 : m : 6 : 1. What is the value of m? 1800 0

  • 1
    10
    Correct
    Wrong
  • 2
    15
    Correct
    Wrong
  • 3
    18
    Correct
    Wrong
  • 4
    24
    Correct
    Wrong
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Answer : 2. "15"
Explanation :

Answer: B) 15 Explanation: Here crossing is AaBbCc x AaBbCc As it is trihybrid cross, we know, Number of zygotes formed = 4n, where n = 3 43 = 64 Given ratio of offsprings = 1 : 6 : m : 20 : m : 6 : 1 Now,  1 + 6 + m + 20 + m + 6 + 1 = 64 34 + 2m = 64 2m = 30 => m = 15.

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