IIT JEE Practice Question and Answer

Q: A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ? 3062 0

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    31 min
    Correct
    Wrong
  • 2
    29 min
    Correct
    Wrong
  • 3
    28 min
    Correct
    Wrong
  • 4
    30 min
    Correct
    Wrong
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Answer : 4. "30 min"
Explanation :

Answer: D) 30 min Explanation: Part filled by (A + B) in 1 minute = (1/60 + 1/40) = 1/24Suppose the tank is filled in x minutes.Then, x/2(1/24 + 1/40) = 1(x/2) * (1/15) = 1 => x = 30 min.

Q: Sugar Bowl of the World? 3050 0

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    Cuba
    Correct
    Wrong
  • 2
    Brazil
    Correct
    Wrong
  • 3
    India
    Correct
    Wrong
  • 4
    Australia
    Correct
    Wrong
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Answer : 2. "Brazil"
Explanation :

Answer: B) Brazil Explanation: "Cuba" is the name of the country which was commonly known as the "Sugar Bowl of the World". It is called by this name because formerly it was the largest producer of Sugar, but now Brazil is currently the largest producer of Sugar. It is an island country in the Caribbean and is officially called as the Republic of Cuba.

Q: Happiness is to 517768399 as senipah is to 3048 0

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    9836715
    Correct
    Wrong
  • 2
    9386615
    Correct
    Wrong
  • 3
    9386715
    Correct
    Wrong
  • 4
    9386517
    Correct
    Wrong
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Answer : 3. "9386715"
Explanation :

Answer: C) 9386715 Explanation: If each consecutive letter in "happiness" relates to the consecutive numbers in 517768399, then H=5, A=1, P=7, I=6, N=8, E=3 and S=9. Using the numbers that relate to the letters in 'senipah', you will arrive at SENIPAH = 9386715.   Hence, Happiness is to 517768399 as senipah is to 9386715.

Q: A merchant buys two articles for Rs.600. He sells one of them at a profit of 22% and the other at a loss of 8% and makes no profit or loss in the end. What is the selling price of the article that he sold at a loss ? 3037 0

  • 1
    Rs. 404.80
    Correct
    Wrong
  • 2
    Rs. 536.80
    Correct
    Wrong
  • 3
    Rs.440
    Correct
    Wrong
  • 4
    Rs. 160
    Correct
    Wrong
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Answer : 1. "Rs. 404.80"
Explanation :

Answer: A) Rs. 404.80 Explanation: Let C1 be the cost price of the first article and C2 be the cost price of the second article.Let the first article be sold at a profit of 22%, while the second one be sold at a loss of 8%. We know, C1 + C2 = 600.The first article was sold at a profit of 22%. Therefore, the selling price of the first article = C1 + (22/100)C1 = 1.22C1The second article was sold at a loss of 8%. Therefore, the selling price of the second article = C2 - (8/100)C2 = 0.92C2. The total selling price of the first and second article = 1.22C1 + 0.92C2. As the merchant did not make any profit or loss in the entire transaction, his combined selling price of article 1 and 2 is the same as the cost price of article 1 and 2. Therefore, 1.22C1 + 0.92C2 = C1+C2 = 600As C1 + C2 = 600, C2 = 600 - C1. Substituting this in 1.22C1 + 0.92C2 = 600, we get1.22C1 + 0.92(600 - C1) = 600or 1.22C1 - 0.92C1 = 600 - 0.92*600or 0.3C1 = 0.08*600 = 48or C1 = 48/(0.3) = 160.If C1 = 160, then C2 = 600 - 160 = 440.The item that is sold at loss is article 2. The selling price of article 2 = 0.92*C2 = 0.92*440 = 404.80.

Q: Ayurveda Owes its Origin to 3033 0

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    Yajurveda
    Correct
    Wrong
  • 2
    Atharvaveda
    Correct
    Wrong
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    Rigveda
    Correct
    Wrong
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    Samaveda
    Correct
    Wrong
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Answer : 2. "Atharvaveda"
Explanation :

Answer: B) Atharvaveda Explanation: Ayurveda Owes its Origin to Atharvaveda.   The early history of ayurveda asserts that around 1500 BC, ayurveda's fundamental and applied principles got organised and enunciated. In this historical construction, Ayurveda traces its origins to the Vedas, Atharvaveda in particular, and is connected to Hindu religion. Atharvaveda (one of the four most ancient books of Indian knowledge, wisdom and culture) contains 114 hymns or formulations for the treatment of diseases. Ayurveda originated in and developed from these hymns. In this sense, ayurveda is considered by some to have divine origin. Indian medicine has a long history, and is one of the oldest organised systems of medicine. Its earliest concepts are set out in the sacred writings called the Vedas, especially in the metrical passages of the Atharvaveda.

Q: The wealthiest citizens of ancient rome were 3032 0

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    patricians
    Correct
    Wrong
  • 2
    laborers
    Correct
    Wrong
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    farmers
    Correct
    Wrong
  • 4
    plebeians
    Correct
    Wrong
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Answer : 1. "patricians"
Explanation :

Answer: A) patricians Explanation:

Q: A 300m race is held between two players running 3m/s and 5m/s in swimming pool of 50m long. how many times the two player meet in opposite direction till the faster one completes the race ? 3027 0

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

Answer: A) 3 times Explanation: Let us assume A is the faster and B is slower, A takes 10s to finish a lap of 50 m, B takes 17s(approx) to finish a lap of 50 m.So at 11th sec A starts his 2nd lap by the time B will be in between so that is the first time they will meet each other, at 21st sec A starts his 3rd lap by the time B will be coming back to finish his 2nd lap. So that is the second time they meet in opposite. Then at 31st sec A will start his 4th lap by the time B would not even finish 2nd lap as he take 34(2*17) sec to finish 2 laps. So at 35th sec B will start his 3rd lap by the time A will be coming back to finish his 4th lap in the half way so they will meet 3rd time. At 41st sec A will start its fifth lap by the time B will be going to finish 3rd lap in same direction. At 50th second both will complete A's 5th lap and B's 3rd lap. So they will start next lap(A's 6th and B's 4th) from the same point in same direction. And A will finish the race after completing 300m(6*50) total distance and then they wont meet opposite to each other. So totally they met 3 times in opposite direction.

Q: A Woman’s downstream swimming rate is thrice of her upstream swimming rate. If she covers 12 km upstream in 2.5 hours, what distance she will cover in 5 hours downstream? 3025 0

  • 1
    72 km
    Correct
    Wrong
  • 2
    36 km
    Correct
    Wrong
  • 3
    56 km
    Correct
    Wrong
  • 4
    42 km
    Correct
    Wrong
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Answer : 1. "72 km"
Explanation :

Answer: A) 72 km Explanation: Rate of her upstream = 12/2.5 = 4.8 km/hr Then, ATQ Rate of downstream = 4.8 x 3 = 14.4 km/hr   Hence, the distance she covers downstream in 5 hrs = 14.4 x 5 = 72 kms.

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