IIT JEE Practice Question and Answer

Q: An owner of a Dry fruits shop sold small packets of mixed nuts for Rs. 150 each and large packets for Rs. 250 each. One day he sold 5000 packets, for a total of Rs. 10.50 lakh. How many small packets were sold ? 1482 0

  • 1
    2000
    Correct
    Wrong
  • 2
    3000
    Correct
    Wrong
  • 3
    2500
    Correct
    Wrong
  • 4
    3500
    Correct
    Wrong
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Answer : 1. "2000"
Explanation :

Answer: A) 2000 Explanation: Let 's' be the number of small packets and 'b' the number of large packets sold on that day.   Therefore, s + b = 5000 ... eqn (1)   Each small packet was sold for Rs.150.Therefore, 's' small packets would have fetched Rs.150s.   Each large packets was sold for Rs.250.Therefore, 'b' large packets would have fetched Rs.250b.   Total value of sale = 150s + 250b = Rs. 10.5 Lakhs (Given)   Or 150s + 250b = 10,50,000 ... eqn (2)   Multiplying equation (1) by 150, we get 150s + 150b = 7,50,000 ... eqn (3)   Subtracting eqn (3) from eqn (2), we get 100b = 3,00,000Or b = 3000   We know that s + b = 5000So, s = 5000 - b = 5000 - 3000 = 2000.   2000 small packets were sold.

Q: India’s longest bridge “Dhola-Sadia Bridge” has built over which tributary of the Brahmaputra River ? 1482 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: The world's tallest twisted tower is ? 1482 0

  • 1
    Tokyo Sky Tree
    Correct
    Wrong
  • 2
    BREN Tower
    Correct
    Wrong
  • 3
    Burj Khalifa
    Correct
    Wrong
  • 4
    Infinity Tower
    Correct
    Wrong
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Answer : 4. "Infinity Tower"
Explanation :

Answer: D) Infinity Tower Explanation: The world's tallest twisted tower, the Infinity Tower was launched in Dubai Marina on 10 June 2013.

Q: In the following question, two equations numbered 1 and 2 are given. You have to solve both the equations and determine the relation between a and b. 1.  5a2-18a+9=0 2.  3b2+5b-2=0 1481 0

  • 1
    a >= b
    Correct
    Wrong
  • 2
    a <= b
    Correct
    Wrong
  • 3
    a < b
    Correct
    Wrong
  • 4
    a > b
    Correct
    Wrong
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Answer : 4. "a > b"
Explanation :

Answer: D) a > b Explanation: From solving 1 and 2 we get,   1. 5a(a-3)-3(a-3) = 0   (5a-3)(a-3) = 0   a = 3 or 3/5   2.    3b(b+2)-1(b+2) = 0   b = -2 or b = 1/3   Here when a = 3, a > b for b = -2 and b = 1/3   when a = 3/5. a > b for b = -2 and b = 1/3.   Hence, it is clear that a > b.

Q: When was the Internet available to the Public? 1480 0

  • 1
    1970
    Correct
    Wrong
  • 2
    1980
    Correct
    Wrong
  • 3
    1990
    Correct
    Wrong
  • 4
    2000
    Correct
    Wrong
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Answer : 3. "1990"
Explanation :

Answer: C) 1990 Explanation: Internet service providers (ISP's) emerged in the late 1980's and early 1990's. The ARPANET was decommissioned in 1990. By 1995, the Internet was fully commercialized in the U.S., when the NSFNet was decommissioned, removing the last restrictions on use of the Internet to carry commercial traffic.

Q: The Budget proposals also seek to provide relief to salaried tax payers by allowing a standard deduction of what amount in place of the present exemption allowed for transport allowance and reimbursement of miscellaneous medical expenses? 1479 0

  • 1
    Rs. 20,000
    Correct
    Wrong
  • 2
    Rs. 40,000
    Correct
    Wrong
  • 3
    Rs. 50,000
    Correct
    Wrong
  • 4
    Rs. 80,000
    Correct
    Wrong
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Answer : 2. "Rs. 40,000"
Explanation :

Answer: B) Rs. 40,000 Explanation: The standard deduction of Rs. 40,000 is seek to provide relief to salaried tax payers in the Budget proposals in place of the present exemption allowed for transport allowance and reimbursement of miscellaneous medical expenses.

Q: If 2 men and 3 women can do a piece of work in 8 days and 3 men and 2 women in 7 days. In how many days can the work be done by 5 men and 4 women working together? 1479 0

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

Answer: C) 4 days Explanation: From the given data, => (2 M + 3W) 8 = (3M + 2W)7 => 16M + 24W = 21M + 14 W => 10W = 5M => 2W = M => 14W × ? = 7W × 8 ? = 4 days

Q: Which year did India hosted and participated in Asian games for the first time ? 1478 0

  • 1
    1930
    Correct
    Wrong
  • 2
    1933
    Correct
    Wrong
  • 3
    1948
    Correct
    Wrong
  • 4
    1951
    Correct
    Wrong
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Answer : 4. "1951"
Explanation :

Answer: D) 1951 Explanation:

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