IIT JEE Practice Question and Answer

Q: Chola Empire was divided into ____ 1878 0

  • 1
    Mandalams, Nadu, Avanti & Kurram
    Correct
    Wrong
  • 2
    Mandalams, Nadu, Malkhand & Kurram
    Correct
    Wrong
  • 3
    Avanti, Nadu, Malkhand & Kurram
    Correct
    Wrong
  • 4
    Mandalams, Nadu,Kurram & Valanadu
    Correct
    Wrong
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Answer : 4. "Mandalams, Nadu,Kurram & Valanadu"
Explanation :

Answer: D) Mandalams, Nadu,Kurram & Valanadu Explanation:

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  ? 1878 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.

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Answer :
Explanation :

The letter 'E'. As of the above given data, It is in the 1st place in Earth, 2nd in Heaven and in the middle of the Sea. It appears once in a Year and twice in a Week. It is present in February, June, September, October, November & December. But not in the Month.   Hence, it is the letter 'E'.

Q: How many squares with sides 1/2 inch long are needed to cover a rectangle that is 4 ft long and 4 ft wide ? 1877 0

  • 1
    9216
    Correct
    Wrong
  • 2
    10246
    Correct
    Wrong
  • 3
    12345
    Correct
    Wrong
  • 4
    7527
    Correct
    Wrong
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Answer : 1. "9216"
Explanation :

Answer: A) 9216 Explanation: It takes four of those little squares -- each one 1/2 inch on a side -- to cover one square inch. That's because each one is 1/2 x 1/2, or 1/4 of a square inch. In a rectangle that is 48 inches by 48 inches, there are 2304 square inches.(1 ft = 12 inches) Since it takes 4 little squares to cover 1 sq inch, then it would need 2304 x 4 squares (1/2 inch on a side each) to cover a rectangle 4 feet by 4 feet. That is 9,216 of those squares.

Q: A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is 1877 0

  • 1
    30
    Correct
    Wrong
  • 2
    36
    Correct
    Wrong
  • 3
    40
    Correct
    Wrong
  • 4
    42
    Correct
    Wrong
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Answer : 3. "40"
Explanation :

Answer: C) 40 Explanation: Let distance = x km and usual rate = y kmph.Then, x/y - x/(y+3) = 40/60 --> 2y (y+3) = 9x ----- (i)Also, x/(y-2) - x/y = 40/60 --> y(y-2) = 3x -------- (ii)On dividing (i) by (ii), we get: x = 40 km.

Q: Nine different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, how many such words can be formed which have at least one letter repeated ? 1877 0

  • 1
    43929
    Correct
    Wrong
  • 2
    59049
    Correct
    Wrong
  • 3
    15120
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 1. "43929"
Explanation :

Answer: A) 43929 Explanation: Number of words with 5 letters from given 9 alphabets formed = 95   Number of words with 5 letters from given 9 alphabets formed such that no letter is repeated is = 9P5   Number of words can be formed which have at least one letter repeated =  95 - 9P5   = 59049 - 15120   = 43929

Q: A Bus is running at 9/10 of its own speed reached a place in 22 hours. How much time could be saved if the bus would run at its own speed ? 1876 0

  • 1
    1.5 hrs
    Correct
    Wrong
  • 2
    1.7 hrs
    Correct
    Wrong
  • 3
    2.2 hrs
    Correct
    Wrong
  • 4
    3.5 hrs
    Correct
    Wrong
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Answer : 3. "2.2 hrs"
Explanation :

Answer: C) 2.2 hrs Explanation: Let the original Speed be "s" kmphAnd the usual time be "t" hrsGiven that if the bus is running at 9s/10 kmph the time is 22 hrs=> [9s/10] x 22 = t x s=> 99/5 = t => t = 19.8 hrs   Hence, if bus runs at its own speed, the time saved = 22 - 19.8 = 2.2 hrs.

Q: Which organelle is the control center of a cell? 1876 0

  • 1
    Nucleus
    Correct
    Wrong
  • 2
    Cytoplasm
    Correct
    Wrong
  • 3
    Cell membrane
    Correct
    Wrong
  • 4
    endoplasmic reticulum
    Correct
    Wrong
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Answer : 1. "Nucleus"
Explanation :

Answer: A) Nucleus Explanation: Nucleus serves as the control center for cell metabolism and reproduction.

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