IIT JEE Practice Question and Answer

Q: A sum is divided among K, L and M in such a way that for each rupee K gets, L gets 45 paisa and M gets 30 paisa. If the share of L is Rs. 27,  what is the total amount  ? 1990 0

  • 1
    Rs. 159
    Correct
    Wrong
  • 2
    Rs. 96
    Correct
    Wrong
  • 3
    Rs. 147
    Correct
    Wrong
  • 4
    Rs. 105
    Correct
    Wrong
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Answer : 4. "Rs. 105"
Explanation :

Answer: D) Rs. 105 Explanation: K : L : M = 100 : 45 : 30              = 20 : 9 : 6 Given L share is 27 => 9  ------  27      35 ------  ?       => 105

Q: A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum  ? 2196 0

  • 1
    Rs.8000
    Correct
    Wrong
  • 2
    Rs.6500
    Correct
    Wrong
  • 3
    Rs.7500
    Correct
    Wrong
  • 4
    Rs.5000
    Correct
    Wrong
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Answer : 3. "Rs.7500"
Explanation :

Answer: C) Rs.7500 Explanation: p=d×1002R2  Where d is difference, r is rate of interest.  => (48 x 100 x 100) / 8 x 8 = Rs.7500

Q: 5% people of a village in India died by dengue, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning ? 2716 0

  • 1
    4400
    Correct
    Wrong
  • 2
    3100
    Correct
    Wrong
  • 3
    2800
    Correct
    Wrong
  • 4
    5600
    Correct
    Wrong
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Answer : 1. "4400"
Explanation :

Answer: A) 4400 Explanation: Let 'P' be the original population at the beginning P x (95/100) x (85/100) = 3553 P = 4400.

Q: Two trains, one from Hyderabd to Bangalore and the other from Bangalore to Hyderabad, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is  ? 3812 0

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

Answer: B) 4 : 3 Explanation: Let us name the trains as A and B. Then, (A's speed) : (B's speed) = √b : √a = √16 : √9 = 4:3

Q: The Mudumalai National Park is located in which state  ? 2382 2

  • 1
    Chattisgarh
    Correct
    Wrong
  • 2
    Haryana
    Correct
    Wrong
  • 3
    Tamil Nadu
    Correct
    Wrong
  • 4
    Karnataka
    Correct
    Wrong
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Answer : 3. "Tamil Nadu"
Explanation :

Answer: C) Tamil Nadu Explanation: The Mudumalai National Park (MNP) is located about 150 kilometres north-west of Coimbatore city in Tamil Nadu. The protected area is home to several endangered and vulnerable species including Indian elephant, Bengal tiger, gaur and Indian leopard. There are at least 266 species of birds in the sanctuary, including critically endangered Indian white-rumped vulture and long-billed vulture.

Q: Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank ? 1765 0

  • 1
    15 min 20 sec.
    Correct
    Wrong
  • 2
    16 min 40 sec.
    Correct
    Wrong
  • 3
    13 min 10 sec.
    Correct
    Wrong
  • 4
    14 min 40 sec.
    Correct
    Wrong
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Answer : 4. "14 min 40 sec."
Explanation :

Answer: D) 14 min 40 sec. Explanation: Part filled in 4 minutes = 4(1/15 + 1/20) = 7/15   Remaining part = 1 - 7/15 = 8/15   Part filled by B in 1 minute = 1/20   1/20 : 8/15 :: 1 : k   k = (8/15 )x 1 x 20 = 10( 2/3) min = 10 min 40 sec.   The tank will be full in (4 min. + 10 min. 40 sec) = 14 min 40 sec.

Q: Which of the following is a non metal that remains liquid at room temperature  ? 1943 0

  • 1
    Chlorine
    Correct
    Wrong
  • 2
    Phosphorous
    Correct
    Wrong
  • 3
    Bromine
    Correct
    Wrong
  • 4
    Helium
    Correct
    Wrong
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Answer : 3. "Bromine"
Explanation :

Answer: C) Bromine Explanation:

Q: The most populous city in the world is  ? 1673 0

  • 1
    Tokyo
    Correct
    Wrong
  • 2
    Paris
    Correct
    Wrong
  • 3
    Peking
    Correct
    Wrong
  • 4
    London
    Correct
    Wrong
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Answer : 1. "Tokyo"
Explanation :

Answer: A) Tokyo Explanation:

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