IIT JEE Practice Question and Answer

Q: Simplify  413 + 215 + 414 = ? 1201 0

  • 1
    10 47/60
    Correct
    Wrong
  • 2
    11 45/73
    Correct
    Wrong
  • 3
    11 47/36
    Correct
    Wrong
  • 4
    10 35/48
    Correct
    Wrong
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Answer : 1. "10 47/60"
Explanation :

Answer: A) 10 47/60 Explanation: The given equation is in Mixed fraction. Now to solve this type of fractions, 413 + 215 + 414 =?? = 4 + 2 + 4 + 13 + 15 + 14 ? = 10 + 4760? = 104760

Q: Which results in an increase in power? 1200 0

  • 1
    doing more work in less time.
    Correct
    Wrong
  • 2
    doing less work in more time.
    Correct
    Wrong
  • 3
    doing less work in less time.
    Correct
    Wrong
  • 4
    doing more work in more time.
    Correct
    Wrong
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Answer : 1. "doing more work in less time."
Explanation :

Answer: A) doing more work in less time. Explanation: Doing more work in less time, results in an increase in power to do a work.

Q: In how many different ways could couples be picked from 6 men and 9 women ? 1198 0

  • 1
    26
    Correct
    Wrong
  • 2
    54
    Correct
    Wrong
  • 3
    52
    Correct
    Wrong
  • 4
    28
    Correct
    Wrong
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Answer : 2. "54"
Explanation :

Answer: B) 54 Explanation: Number of mens = 8 Number of womens = 5   Different ways could couples be picked = C16× 9C1 = 9 x 6 = 54 ways.

Q: Name the body that has recently announced a plan to promote micro-enterprises in 115 aspirational districts across the country after tying up with Common Service Centre (CSC). 1198 0

  • 1
    SEBI
    Correct
    Wrong
  • 2
    C). A) SEBI B)
    Correct
    Wrong
  • 3
    . A) SEBI B) RBI C) SIDBI
    Correct
    Wrong
  • 4
    IRDAI
    Correct
    Wrong
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Answer : 3. ". A) SEBI B) RBI C) SIDBI"
Explanation :

Answer: C) SIDBI Explanation: Small Industries and Development Bank of India (SIDBI) announced a plan to promote micro-enterprises in 115 aspirational districts across the country. It has tied up with Common Service Centre (CSC).

Q: In a plane 8 points are colliner  out of 12 points, then the number of triangles we get with those 12 points is 1195 0

  • 1
    20
    Correct
    Wrong
  • 2
    160
    Correct
    Wrong
  • 3
    164
    Correct
    Wrong
  • 4
    220
    Correct
    Wrong
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Answer : 3. "164"
Explanation :

Answer: C) 164 Explanation: For a triangle, we need 3 non-collinear points. So with 12 points (when all the 12 are such that any three non-collinear is12C3. But among them 8 points are collinear.   If all these 8 points are different we get 8C3 triangles as they are collinear.   In 12C3 triangles, we do not get 8C3 triangles   Therefore, The number of triangles we get = 12C3-8C3 = 164

Q: A train travelling at 48 kmph crosses another train, having half its length and travelling in opposite direction at 42 kmph, in 12 sec. It also covers a bridge in 45 sec. Find the length of the bridge ? 1191 0

  • 1
    250 mts
    Correct
    Wrong
  • 2
    400 mts
    Correct
    Wrong
  • 3
    320 mts
    Correct
    Wrong
  • 4
    390 mts
    Correct
    Wrong
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Answer : 2. "400 mts"
Explanation :

Answer: B) 400 mts Explanation: Let the length of the 1st train = L mts Speed of 1st train = 48 kmph Now the length of the 2nd train = L/2 mts Speed of 2nd train = 42 kmph Let the length of the bridge = D mts Distance = L + L/2 = 3L/2 Relative speed = 48 + 42 = 90 kmph = 90 x 5/18 = 25 m/s(opposite) Time = 12 sec => 3L/2x25 = 12 => L = 200 mts Now it covers the bridge in 45 sec => distance = D + 200 Time = 45 sec Speed = 48 x5/18 = 40/3 m/s => D + 200/(40/3) = 45 => D = 600 - 200 = 400 mts Hence, the length of the bridge = 400 mts.

Q: Find the Missing Numbers in the given Number Puzzle ? 1190 0

  • 1
    169 & 81
    Correct
    Wrong
  • 2
    67 & 121
    Correct
    Wrong
  • 3
    64 & 115
    Correct
    Wrong
  • 4
    70 & 110
    Correct
    Wrong
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Answer : 1. "169 & 81"
Explanation :

Answer: A) 169 & 81 Explanation: Observe that in each column, square of sum of digits in the first row = Respective second row elements.   In the same way, square of sum of digits in the second row = Respective third row elements.   => 6+42=102=100   => 4+92=132=169   => 8+12=92=81.

Q: Name the U.S. war between the north and the south? 1190 0

  • 1
    American Civil War
    Correct
    Wrong
  • 2
    Colonial wars
    Correct
    Wrong
  • 3
    War of Independence
    Correct
    Wrong
  • 4
    Post-Civil War
    Correct
    Wrong
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Answer : 1. "American Civil War"
Explanation :

Answer: A) American Civil War Explanation: The American Civil War has been known by a number of names since it began in 1861.   In most East Asian languages, the war is called "Battle between North and South side of the United States" or more commonly as "American (U.S.) North–South War", depending on the individual language.

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