IIT JEE Practice Question and Answer

Q: If (89)2 is added to the square of a number, the answer so obtained is 16202. What is the (1/26) of that number? 3371 0

  • 1
    5.65
    Correct
    Wrong
  • 2
    2.7
    Correct
    Wrong
  • 3
    3.5
    Correct
    Wrong
  • 4
    6.66
    Correct
    Wrong
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Answer : 3. "3.5"
Explanation :

Answer: C) 3.5 Explanation: Let the number is = x (89)2 + x2 = 16202 x2 = 8281 x = 91 => (1/26) of 91 = 3.5

Q: What is 90 days from today?   Hints : Today is 20th January 2017, Sunday 3356 0

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    18th April, Friday
    Correct
    Wrong
  • 2
    20th April, Saturday
    Correct
    Wrong
  • 3
    21th April, Sunday
    Correct
    Wrong
  • 4
    19th April, Saturday
    Correct
    Wrong
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Answer : 2. "20th April, Saturday"
Explanation :

Answer: B) 20th April, Saturday Explanation: Given Today is 20th January 2017, Sunday In january, we have 31 days February - 28 days (Non leap year) March - 31 days April - 30 days => Remaining days => 31 - 20 = 11 in Jan + 28 in Feb + 31 in Mar = 11 + 28 + 31 = 70 days More 20 days to complete 90 days => upto 20th April   Therefore, after 90 days from today i.e, 20th Jan 2017 is 20th Apr 2017.   Now, the day of the week will be  90/7 => Remainder '6' As the day starts with '0' on sunday  6 => Saturday.   Required day is 20th April, Saturday.

Q: A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 40 days, then together ,all will finish the work in  ? 3352 0

  • 1
    17 + 4/7 days
    Correct
    Wrong
  • 2
    13 + 1/3 days
    Correct
    Wrong
  • 3
    15 + 3/2 days
    Correct
    Wrong
  • 4
    16 days
    Correct
    Wrong
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Answer : 2. "13 + 1/3 days"
Explanation :

Answer: B) 13 + 1/3 days Explanation: C alone can finish the work in 40 days.As given C does half as much work as A and B together => (A + B) can do it in 20 days(A + B)s 1 days wok = 1/20.A's 1 days work : B's 1 days Work = 1/2 : 1 = 1:2(given)A's 1 day’s work = (1/20) x (1/3) = (1/60) [Divide 1/20 in the raio 1:2]B's 1 days work = (1/20) x (2/3) = 1/30(A+B+C)'s 1 day's work = (1/60) + (1/30) + (1/40) = 9/120 = 3/40 All the three together will finish it in 40/3 = 13 and 1/3 days.

Q: Chipko movement was basically against 3348 0

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    Cultural pollution
    Correct
    Wrong
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    Deforestation
    Correct
    Wrong
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    Water pollution
    Correct
    Wrong
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    Noise pollution
    Correct
    Wrong
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Answer : 2. "Deforestation"
Explanation :

Answer: B) Deforestation Explanation: The Chipko movement or Chipko Andolan refers to a forest conservation movement or deforestation. In modern india, it began in 1973 in the state of Uttar Pradesh (now Uttarakhand). Sunderlal Bahuguna and 84 villagers risked their lives to protect the forest trees from being felled on the order of the maharaja (king) and went on to become a rallying point for many future environmental movements all over the world it created a precedent for starting of nonviolent protest in India, and its success meant that the world immediately took notice of this non violent movement, which was to inspire in time many such eco-groups by helping to slow down the rapid deforestation, expose vested interests, increase ecological awareness, and demonstrate the viability of people power. Above all, it stirred up the existing civil society in India, which began to address the issues of tribal and marginalized people.   Chipko type movement dates back to 1730 AD when in a khejarli village of Rajasthan, 363 people sacrificed their lives to save khejari trees.

Q: _ tu _ rt _ s _ _ usrtu _ 3348 0

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    rsutrr
    Correct
    Wrong
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    rsurtr
    Correct
    Wrong
  • 3
    rsurts
    Correct
    Wrong
  • 4
    rtusru
    Correct
    Wrong
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Answer : 3. "rsurts"
Explanation :

Answer: C) rsurts Explanation: The series rtus/rtus/rtus/rtus. Thus, the pattern 'rtus' is repeated.

Q: Tennis rackets and ballpoint pens are 3345 0

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    complementary goods
    Correct
    Wrong
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    independent goods
    Correct
    Wrong
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    inferior goods
    Correct
    Wrong
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    substitute goods
    Correct
    Wrong
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Answer : 2. "independent goods"
Explanation :

Answer: B) independent goods Explanation: Tennis rackets and ballpoint pens are two independent goods. Since, one doesn't depend on the other.

Q: A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ? 3344 0

  • 1
    31 min
    Correct
    Wrong
  • 2
    29 min
    Correct
    Wrong
  • 3
    28 min
    Correct
    Wrong
  • 4
    30 min
    Correct
    Wrong
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Answer : 4. "30 min"
Explanation :

Answer: D) 30 min Explanation: Part filled by (A + B) in 1 minute = (1/60 + 1/40) = 1/24Suppose the tank is filled in x minutes.Then, x/2(1/24 + 1/40) = 1(x/2) * (1/15) = 1 => x = 30 min.

Q: Optimist is to cheerful as Pessimist is to 3343 0

  • 1
    Helpful
    Correct
    Wrong
  • 2
    Mean
    Correct
    Wrong
  • 3
    Petty
    Correct
    Wrong
  • 4
    Gloomy
    Correct
    Wrong
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Answer : 4. "Gloomy"
Explanation :

Answer: D) Gloomy Explanation: The given words are related in a way that, an optimist is a person whose outlook is cheerful. Similarly, a pessimist is a person whose outlook is gloomy.   The answer is not (b) because a pessimist does not have to be mean. Options (c) and (a) are incorrect because neither words describe the outlook of a pessimist.   Hence, Optimist is to cheerful as Pessimist is to Gloomy.

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