IIT JEE Practice Question and Answer

Q: Find the greatest number that will divide 964, 1238 and 1400 leaving remainder of 41,31 and 51 respectively ? 2044 0

  • 1
    64
    Correct
    Wrong
  • 2
    69
    Correct
    Wrong
  • 3
    71
    Correct
    Wrong
  • 4
    58
    Correct
    Wrong
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Answer : 3. "71"
Explanation :

Answer: C) 71 Explanation: To find the greatest number which divides the numbers 964, 1238 and 1400 leaving the remainders 41, 31 and 51 is nothing but the HCF of (964 - 41), (1238 - 31), (1400 - 51). Therefore, HCF of 923, 1207 and 1349 is 71.

Q: Two trains are running with speeds 30 kmph and 58 kmph respectively in the same direction. A man in the slower train passes the faster train in 18 seconds. Find the length of the faster train? 2044 0

  • 1
    105 mts
    Correct
    Wrong
  • 2
    115 mts
    Correct
    Wrong
  • 3
    120 mts
    Correct
    Wrong
  • 4
    140 mts
    Correct
    Wrong
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Answer : 4. "140 mts"
Explanation :

Answer: D) 140 mts Explanation: Speeds of two trains = 30 kmph and 58 kmph => Relative speed = 58 - 30 = 28 kmph = 28 x 5/18 m/s = 70/9 m/s Given a man takes time to cross length of faster train = 18 sec   Now, required Length of faster train = speed x time = 70/9  x  18 = 140 mts.

Q: What was the symbol of death of gautama buddha? 2044 0

  • 1
    Stupa
    Correct
    Wrong
  • 2
    Bodhi tree
    Correct
    Wrong
  • 3
    Lion
    Correct
    Wrong
  • 4
    Chaitya
    Correct
    Wrong
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Answer : 1. "Stupa"
Explanation :

Answer: A) Stupa Explanation: Stupa represents the symbol of death of Gautama Buddha. On the other hand, Bodhi Tree is the symbol of nirvana of Gautama Buddha.

Q: Voiceless it cries, wingless flutters, toothless bites, mouth-less mutters. What is it? 2043 0

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Answer :
Explanation :

It is The Wind which cries without a voice, flutters without wings, bites toothless and mutters mouthless.

Q: A government subsidy to the producers of a product 2042 0

  • 1
    reduces product demand
    Correct
    Wrong
  • 2
    increases product supply
    Correct
    Wrong
  • 3
    reduces product supply
    Correct
    Wrong
  • 4
    increases product demand
    Correct
    Wrong
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Answer : 2. "increases product supply"
Explanation :

Answer: B) increases product supply Explanation:

Q: Soil erosion can be prevented by 2041 0

  • 1
    Removal of vegetation
    Correct
    Wrong
  • 2
    Overgrazing
    Correct
    Wrong
  • 3
    Afforestation
    Correct
    Wrong
  • 4
    Increasing bird population
    Correct
    Wrong
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Answer : 3. "Afforestation"
Explanation :

Answer: C) Afforestation Explanation: The four most common soil erosion prevention methods are vegetation, geotextiles, mulch, and retaining walls. By planting grass in areas of concentrated water flow, farmers can prevent much of the soil erosion that results from runoff, as the grass stabilizes the soil while still providing an outlet for drainage. Preventing soil erosion is critical in protecting your property and exposed soil, whether from wind, weather, running water, and even the after-effects of the forest fire.

Q: If y/(x - z) = (y + x)/z = x/y then find z : y : x ? 2040 0

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

Answer: B) 3:2:4 Explanation: Given, y/(x - z) = (y + x)/z = x/yyz = xy + x2 - yz - xz ....(1)Also xy = yx-z ⇒x2 -xz = y2 ....(2)Using (1) and (2), we get yz = xy - yz + y22yz = xy + y22z = x + y Only option (B) satisfies the equation.

Q: What is the oxidation number of carbon in NaHCO3? 2039 0

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

Answer: C) +4 Explanation: The given compound is NaHCO3 Sodium bicarbonate which is commonly known as Baking soda. Oxidation numbers are the charges on ions. When a neutral atom loses electrons it becomes positively charged. When a neutral atom gains electrons it becomes negatively charged.   Here the C represents the oxidation state of carbon in this compound. Compounds are electrically neutral, which is why we set the sum of the oxidation states equal to zero. Sodium has a +1 oxidation state. Hydrogen has a +1 oxidation state. Oxygen has a -2 oxidation state. There are three oxygen atoms, which means the total oxidation state provided by both oxygen ions is -6. Adding up these oxidation states we get: 1 + 1 + (-6) + C = 0 -4 + C = 0 => C = 4 This means the oxidation state of carbon in this compound is +4.

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