IIT JEE Practice Question and Answer

Q: The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 50% profit ? 1701 0

  • 1
    Rs. 660
    Correct
    Wrong
  • 2
    Rs. 560
    Correct
    Wrong
  • 3
    Rs. 1060
    Correct
    Wrong
  • 4
    Rs. 960
    Correct
    Wrong
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Answer : 4. "Rs. 960"
Explanation :

Answer: D) Rs. 960 Explanation: Let C.P. = Rs. C. Then, 832 - C = C - 4482C = 1280 => C = 640Required S.P. = 150% of Rs. 640 = 150/100 x 640 = Rs. 960.

Q: The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned  ? 2175 0

  • 1
    Rs. 11828.80
    Correct
    Wrong
  • 2
    Rs. 19828.80
    Correct
    Wrong
  • 3
    Rs. 9828.80
    Correct
    Wrong
  • 4
    Rs. 19328.80
    Correct
    Wrong
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Answer : 2. "Rs. 19828.80"
Explanation :

Answer: B) Rs. 19828.80 Explanation: Let the sum be Rs. P P{ 1+81002- 1 } = 2828.80   It is in the form of  a2-b2 = a+ba-b   P(8/100)(2 + 8/100) = 2828.80   P = 2828.80 / (0.08)(2.08)   = 1360/0.08 = 17000   Principal + Interest = Rs. 19828.80

Q: The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles  ? 3117 0

  • 1
    2413 sq.m
    Correct
    Wrong
  • 2
    1234 sq.m
    Correct
    Wrong
  • 3
    4312 sq.m
    Correct
    Wrong
  • 4
    2143 sq.m
    Correct
    Wrong
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Answer : 3. "4312 sq.m"
Explanation :

Answer: C) 4312 sq.m Explanation: Let the radii of the smaller and the larger circles be 's' m and 'l' m respectively.    2πs = 264 and 2πl = 352      s = 2642π and l = 3522π    Difference between the areas =πl2-πs2      = π1762π2-1322π2    = 1762π-1322π     = (176 - 132)(176 + 132) / π     = (44 x 308) / (22/7) = 4312 sq.m

Q: Rifath Sharook has designed the world’s lightest satellite “KalamSat”. He hails from which country  ? 1271 0

  • 1
    Russia
    Correct
    Wrong
  • 2
    Pakistan
    Correct
    Wrong
  • 3
    Dubai
    Correct
    Wrong
  • 4
    India
    Correct
    Wrong
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Answer : 4. "India"
Explanation :

Answer: D) India Explanation: Indian teen Rifath Sharook from Tamil Nadu has designed the world’s lightest & smallest satellite named “KalamSat”. The satellite weighs only 64 grams and will be launched by NASA on June 21, 2017. With this, he will become the first Indian student to have his experiment launched by NASA. The main role of the satellite will be to demonstrate the performance of 3-D printed carbon fibre. The satellite has been designed in a way which will have a 240-minute mission in space and will operate for 12 minutes in a micro-gravity environment of space.

Q: There are 100 students in 3 sections A, B and C of a class. The average marks of all the three sections was 84. The average of B and C was 87.5 and the average marks of students in A section was : 4167 0

  • 1
    20
    Correct
    Wrong
  • 2
    35
    Correct
    Wrong
  • 3
    54
    Correct
    Wrong
  • 4
    40
    Correct
    Wrong
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Answer : 1. "20"
Explanation :

Answer: A) 20 Explanation: Numbers of students in section A = x ∴ Numbers of students in section B and C = (100 – x) ∴ x 70 + (100 – x) 87.5 = 84 100 => 70x + 87.5 100 – 87.5x = 8400 => 8750 – 17.5x = 8400 => 17.5x = 8750 – 8400 => x = 20.

Q: The arithmetic mean of the following numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6 and 7, 7, 7, 7, 7, 7, 7 is   ? 2265 0

  • 1
    6
    Correct
    Wrong
  • 2
    9
    Correct
    Wrong
  • 3
    7
    Correct
    Wrong
  • 4
    5
    Correct
    Wrong
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Answer : 4. "5"
Explanation :

Answer: D) 5 Explanation: Arithmatic mean = sum/members  => (1x1 + 2x2 + 3x3 + 4x4 + 5x5 + 6x6 + 7x7) / (1 + 2 + 3 + 4 + 5 + 6 + 7) => 140/28 = 5

Q: A jogger running at 9 kmph alongside a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger  ? 1664 0

  • 1
    10 sec
    Correct
    Wrong
  • 2
    48 sec
    Correct
    Wrong
  • 3
    36 sec
    Correct
    Wrong
  • 4
    56 sec
    Correct
    Wrong
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Answer : 3. "36 sec"
Explanation :

Answer: C) 36 sec Explanation: Given speed of jogger = 9 kmph Speed of train = 45 kmphAs they are in same direction, Relative speed = 45 - 9 = 36 kmph = 36x5/18 = 10 m/sDistance = 240 + 120 = 360 mts Time = distance/speed = 360/10 = 36 sec.

Q: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 kmph. Then find the speed of faster train  ? 3990 0

  • 1
    68 kmph
    Correct
    Wrong
  • 2
    52 kmph
    Correct
    Wrong
  • 3
    76 kmph
    Correct
    Wrong
  • 4
    50 kmph
    Correct
    Wrong
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Answer : 1. "68 kmph"
Explanation :

Answer: A) 68 kmph Explanation: Let the speed of the faster train be 'X' kmph, Then their relative speed= X - 48 kmphTo cross slower train by faster train, Distance need to be cover = (400 + 600)m = 1 km. and Time required = 180 sec = 180/3600 hr = 1/20 hr.Time = Distance/Speed => 1/20 = 1/(x-48)X = 68 kmph

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