IIT JEE Practice Question and Answer

Q: Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is : 1667 0

  • 1
    83
    Correct
    Wrong
  • 2
    89
    Correct
    Wrong
  • 3
    85
    Correct
    Wrong
  • 4
    79
    Correct
    Wrong
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Answer : 3. "85"
Explanation :

Answer: C) 85 Explanation: Since the numbers are co-prime, they contain only 1 as the common factor.Also, the given two products have the middle number in common.So, middle number = H.C.F of 551 and 1073 = 29;First number = 551/29 = 19Third number = 1073/29 = 37.Required sum = 19 + 29 + 37 = 85.

Q: K can lay Highway road between two cities in 16 days. L can do the same job in 12 days. With the help of M, they completes the job in 4 days. How much days does it take for M alone to complete the work ? 1667 0

  • 1
    47/7 days
    Correct
    Wrong
  • 2
    59/6 days
    Correct
    Wrong
  • 3
    48/5 days
    Correct
    Wrong
  • 4
    57/5 days
    Correct
    Wrong
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Answer : 3. "48/5 days"
Explanation :

Answer: C) 48/5 days Explanation: Amount of work K can do in 1 day = 1/16 Amount of work L can do in 1 day = 1/12 Amount of work K, L and M can together do in 1 day = 1/4 Amount of work M can do in 1 day = 1/4 - (1/16 + 1/12) = 3/16 – 1/12 = 5/48 => Hence M can do the job on 48/5 days = 9 (3/5) days

Q: What animals eat both producers and consumers? 1667 0

  • 1
    Herbivores
    Correct
    Wrong
  • 2
    Omnivores
    Correct
    Wrong
  • 3
    Carnivores
    Correct
    Wrong
  • 4
    Tertiary consumers
    Correct
    Wrong
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Answer : 2. "Omnivores"
Explanation :

Answer: B) Omnivores Explanation: Animals and people who eat both animals and plants i.e, both producers and consumers are called omnivores.

Q: India’s longest bridge “Dhola-Sadia Bridge” has built over which tributary of the Brahmaputra River ? 1667 0

  • 1
    Kameng River
    Correct
    Wrong
  • 2
    Lohit River
    Correct
    Wrong
  • 3
    Subansiri River
    Correct
    Wrong
  • 4
    Manas River
    Correct
    Wrong
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Answer : 2. "Lohit River"
Explanation :

Answer: B) Lohit River Explanation: The Prime Minister Narendra Modi has inaugurated India’s longest bridge “Dhola-Sadia Bridge” in Assam on May 26, 2017. This three lane, 9.15 kilometre bridge has been built over river Lohit, a tributary of the Brahmaputra river. It links Dhola in Assam to Sadia. The bridge will reduce the distance from Rupai on NH- 37 in Assam to Meka-Roing on NH-52 in Arunachal Pradesh by 165 KM. The travel time between the two places will come down from the current six hours to just one hour, a total five hour reduction. This will result in saving of petrol and diesel worth Rs 10 Lakh per day. It will also cater to the strategic requirements of the country in the border areas of Arunachal Pradesh, besides facilitating numerous hydro power projects coming up in the state.

Q: A card is drawn from a pack of 52 cards. The probability of getting a queen of the club or a king of the heart is? 1667 0

  • 1
    1/26
    Correct
    Wrong
  • 2
    1/13
    Correct
    Wrong
  • 3
    2/13
    Correct
    Wrong
  • 4
    1/52
    Correct
    Wrong
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Answer : 1. "1/26"
Explanation :

Answer: A) 1/26 Explanation: Here in this pack of cards, n(S) = 52 Let E = event of getting a queen of the club or a king of the heart Then, n(E) = 2 P(E) = n(E)/n(S) = 2/52 = 1/26

Q: In a mixture of milk and water the proportion of water by weight was 75%. If in 60 gm of mixture 15 gm water was added, what would be the percentage of water ? (Weight in gm) 1666 0

  • 1
    80%
    Correct
    Wrong
  • 2
    70%
    Correct
    Wrong
  • 3
    75%
    Correct
    Wrong
  • 4
    62%
    Correct
    Wrong
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Answer : 1. "80%"
Explanation :

Answer: A) 80% Explanation: Water in 60 gm mixture=60 x 75/100 = 45 gm. and Milk = 15 gm.   After adding 15 gm. of water in mixture, total water = 45 + 15 = 60 gm and weight of a mixture = 60 + 15 = 75 gm.   So % of water = 100 x 60/75 = 80%.

Q: World Consumer Rights Day is observed globally on ___________. 1666 0

  • 1
    15 March
    Correct
    Wrong
  • 2
    25 March
    Correct
    Wrong
  • 3
    14 March
    Correct
    Wrong
  • 4
    25 April
    Correct
    Wrong
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Answer : 1. "15 March"
Explanation :

Answer: A) 15 March Explanation: World Consumer Rights Day is being observed globally on 15 March which is an awareness day for the consumers.

Q: An alloy of copper and bronze weight 50g. It contains 80% Copper. How much copper should be added to the alloy so that percentage of copper is increased to 90%? 1666 0

  • 1
    45 gm
    Correct
    Wrong
  • 2
    50 gm
    Correct
    Wrong
  • 3
    55 gm
    Correct
    Wrong
  • 4
    60 gm
    Correct
    Wrong
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Answer : 2. "50 gm"
Explanation :

Answer: B) 50 gm Explanation: Initial quantity of copper =80100 x 50 = 40 g  And that of Bronze = 50 - 40 = 10 g Let 'p' gm of copper is added to the mixture => 50 + p x 90100 = 40 + p => 45 + 0.9p = 40 + p => p = 50 g Hence, 50 gms of copper is added to the mixture, so that the copper is increased to 90%.

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