IIT JEE Practice Question and Answer

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 ? 1040 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: Guess the Number missed in Number Challenge ? 1040 0

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

Answer: B) 5 Explanation: Sum of numbers in all individual boxes must be equal. Here sum must be equal to 30. => x + 14 + 9 + 2 = 30 => x = 5.

Q: GST Council has decided to keep a total of ________ items in the 28% slab, which was earlier 227. 1040 0

  • 1
    125
    Correct
    Wrong
  • 2
    87
    Correct
    Wrong
  • 3
    100
    Correct
    Wrong
  • 4
    50
    Correct
    Wrong
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Answer : 4. "50"
Explanation :

Answer: D) 50 Explanation: The GST Council on Nov 10th 2017 cut tax rates of over 175 products that were in the highest tax slab of 28% under the Goods and Services Tax (GST) regime.   Currently only 50 items have been left in the 28% category out of a total of 227 items that were present earlier.

Q: In a plane 8 points are colliner  out of 12 points, then the number of triangles we get with those 12 points is 1039 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 ways can the letters of the word 'CAPITAL' be arranged in such a way that all the vowels always come together? 1039 0

  • 1
    360
    Correct
    Wrong
  • 2
    720
    Correct
    Wrong
  • 3
    120
    Correct
    Wrong
  • 4
    840
    Correct
    Wrong
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Answer : 1. "360"
Explanation :

Answer: A) 360 Explanation: CAPITAL = 7   Vowels = 3 (A, I, A)   Consonants = (C, P, T, L)   5 letters which can be arranged in  5P5=5!   Vowels A,I = 3!2!   No.of arrangements = 5! x 3!2!=360

Q: The length of a rectangle is 10 cm more than the breadth. Find the diagonal length of rectangle if perimeter is 44 cm ? 1038 0

  • 1
    12.50 cm
    Correct
    Wrong
  • 2
    14.21 cm
    Correct
    Wrong
  • 3
    15.98 cm
    Correct
    Wrong
  • 4
    17.08 cm
    Correct
    Wrong
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Answer : 4. "17.08 cm"
Explanation :

Answer: D) 17.08 cm Explanation: Let the length of the rectangle = L cm   Then the breadth of the rectangle = (L - 10) cm   Perimeter of a rectangle = 2(L + B) cm   => 44 = 2(L + L - 10)   => 44 = 4L - 20   => 4L = 64   => L = 16 cm   => B = L - 10 = 6 cm   Diagonal = L2+B2 = 162+62 = 17.08 cm

Q: Which is first city in the world to get its own Microsoft font in 2017 ? 1038 0

  • 1
    India
    Correct
    Wrong
  • 2
    Iran
    Correct
    Wrong
  • 3
    Dubai
    Correct
    Wrong
  • 4
    Iraq
    Correct
    Wrong
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Answer : 3. "Dubai"
Explanation :

Answer: C) Dubai Explanation: Dubai has become the first city in the world to get its own Microsoft font. ii. Sheikh Hamdan bin Mohammed bin Rashid Al Maktoum, Dubai's Crown Prince and Chairman of the Executive Council, launched the Dubai Font recently. iii. The font, available in three styles as 'Dubai', 'Dubai Medium' and 'Dubai Light', can be in italics, underlined and bold.

Q: Which liquid is the most viscous? 1038 0

  • 1
    Water
    Correct
    Wrong
  • 2
    Diesel
    Correct
    Wrong
  • 3
    Milk
    Correct
    Wrong
  • 4
    Oil
    Correct
    Wrong
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Answer : 4. "Oil"
Explanation :

Answer: D) Oil Explanation: Here Oil is the most viscous liquid. The liquid with the most intermolecular force is high viscous. viscosity is how smoothly a liquid flows and how hardly the liquid flows it is highly viscous.

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