IIT JEE Practice Question and Answer

Q: By selling an article at Rs.800, a shopkeeper makes a profit of 25%.At what price should he sell the article so as to make a loss of 25%? 4431 0

  • 1
    Rs.720
    Correct
    Wrong
  • 2
    Rs.640
    Correct
    Wrong
  • 3
    Rs.540
    Correct
    Wrong
  • 4
    Rs.480
    Correct
    Wrong
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Answer : 4. "Rs.480"
Explanation :

Answer: D) Rs.480 Explanation: SP = Rs.800 ; Profit = 25%  CP = SP x 100100+P% = 800 x 100100+25 = 640    Now, CP = Rs.640   Loss = 25% = 25% of Rs.640 = Rs.160   Thus, SP = CP - Loss = Rs.640 - Rs.160 = Rs.480

Q: There are three rooms in a Hotel: one single, one double and one for four persons. How many ways are there to house seven persons in these rooms ? 4420 0

  • 1
    105
    Correct
    Wrong
  • 2
    7! x 6!
    Correct
    Wrong
  • 3
    7!/5!
    Correct
    Wrong
  • 4
    420
    Correct
    Wrong
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Answer : 1. "105"
Explanation :

Answer: A) 105 Explanation: Choose 1 person for the single room & from the remaining choose 2 for the double room & from the remaining choose 4 people for the four person room,   Then, 7C1 x 6C2 x 4C4  = 7 x 15 x 1 = 105

Q: Find the missing number in the given number series? 2676, 445, ?, 21,6, 2, 1 4419 0

  • 1
    88
    Correct
    Wrong
  • 2
    92
    Correct
    Wrong
  • 3
    96
    Correct
    Wrong
  • 4
    102
    Correct
    Wrong
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Answer : 1. "88"
Explanation :

Answer: A) 88 Explanation: The given number series 2676, 445, ?, 21,6, 2, 1 follows a pattern that, From right side, 1 1 x 1 + 1 = 2 2 x 2 + 2 = 6 6 x 3 + 3 = 21 21 x 4 + 4 = 88 88 x 5 + 5 = 445 445 x 6 + 6 = 2676   Hence the missing number in the given number series is 88.

Q: P is faster than Q. P and Q each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, P's speed is equal to ? 4388 0

  • 1
    3 km/hr
    Correct
    Wrong
  • 2
    4 km/hr
    Correct
    Wrong
  • 3
    5 km/hr
    Correct
    Wrong
  • 4
    6 km/hr
    Correct
    Wrong
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Answer : 2. "4 km/hr"
Explanation :

Answer: B) 4 km/hr Explanation: Let P's speed = x km/hr. Then, Q's speed = (7 - x) km/ hr.   So, 24/x + 24/(7 - x) = 14   x2 - 98x + 168 = 0   (x - 3)(x - 4) = 0 => x = 3 or 4.   Since, P is faster than Q,   so P's speed = 4 km/hr and Q's speed = 3 km/hr.

Q: The first Law Officer of the Government of India is the 4386 0

  • 1
    Union Law Minister
    Correct
    Wrong
  • 2
    Secreatary, Ministry of Law
    Correct
    Wrong
  • 3
    Attorney-General for India
    Correct
    Wrong
  • 4
    Chief Justice of the Supreme Court
    Correct
    Wrong
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Answer : 3. "Attorney-General for India"
Explanation :

Answer: C) Attorney-General for India Explanation: Attorney-General for India is the  first Law Officer of the Government of India. He is is the Indian government's chief legal advisor, and its primary lawyer in the Supreme Court of India. The Solicitor General of India is below the Attorney General for India, who is the secondary law officer of the country, assists the Attorney General, and is himself assisted by several Additional Solicitors General of India.

Q: Artist is to painting as senator is to 4377 0

  • 1
    politician
    Correct
    Wrong
  • 2
    constituents
    Correct
    Wrong
  • 3
    attorney
    Correct
    Wrong
  • 4
    law
    Correct
    Wrong
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Answer : 4. "law"
Explanation :

Answer: D) law Explanation: As we know that an artist makes paintings, similarly, a senator makes laws.   Hence, Artist : Painting :: Senator : Law.

Q: Raju got married 8years ago. His present age is 6/5 times his age at the time of his marriage  Raju's sister was 10years younger to him at the time of his marriage. The present age of Raju's sister is  ? 4364 0

  • 1
    30
    Correct
    Wrong
  • 2
    32
    Correct
    Wrong
  • 3
    38
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 3. "38"
Explanation :

Answer: C) 38 Explanation: Let Raju's age at the time of his marriage = X years Then from given data => X + 8 = 6/5 X X = 40. Since got married 8 years ago, his present age  = 48 His sister is 10 years younger => 48 - 10 = 38 years.

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