IIT JEE Practice Question and Answer

Q: The compound interest on Rs. 8000 for 3 year at 10% p.a. is 1208 0

  • 1
    2648
    Correct
    Wrong
  • 2
    2145
    Correct
    Wrong
  • 3
    2587
    Correct
    Wrong
  • 4
    2784
    Correct
    Wrong
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Answer : 1. "2648"
Explanation :

Answer: A) 2648 Explanation: 8000 × 33.1% = 2648

Q: In how many ways can the letters of the word 'LEADER' be arranged ? 1206 0

  • 1
    360
    Correct
    Wrong
  • 2
    420
    Correct
    Wrong
  • 3
    576
    Correct
    Wrong
  • 4
    220
    Correct
    Wrong
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Answer : 1. "360"
Explanation :

Answer: A) 360 Explanation: No. of letters in the word = 6No. of 'E' repeated = 2Total No. of arrangement = 6!/2! = 360

Q: In a plane 8 points are colliner  out of 12 points, then the number of triangles we get with those 12 points is 1206 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: In how many different ways could couples be picked from 6 men and 9 women ? 1203 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). 1203 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: A train is moving and crossing a man who is running on a  platform of 100 m at a speed of 8 kmph in the direction of the train, in 9 sec. If the speed of the train is 74 kmph. Find the length of the train ? 1200 0

  • 1
    202 mts
    Correct
    Wrong
  • 2
    188 mts
    Correct
    Wrong
  • 3
    165 mts
    Correct
    Wrong
  • 4
    156 mts
    Correct
    Wrong
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Answer : 3. "165 mts"
Explanation :

Answer: C) 165 mts Explanation: Let the length of the train = L mts Relative speed of train and man = 74 - 8 = 66 kmph = 66 x 5/18 m/s => 66 x 5/18 = L/9 => L = 165 mts.

Q: Find the Missing Numbers in the given Number Puzzle ? 1199 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: 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 ? 1198 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.

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