GATE Practice Question and Answer

Q: 12 as a percentage? 1487 0

  • 1
    50%
    Correct
    Wrong
  • 2
    5%
    Correct
    Wrong
  • 3
    0.5%
    Correct
    Wrong
  • 4
    0.05%
    Correct
    Wrong
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Answer : 1. "50%"
Explanation :

Answer: A) 50% Explanation: 1/2 as a percentage means 1/2 = 0.5 in decimal Now, in percentage means 0.5 x 100% = 50%.

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 ? 1485 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: A can do a piece of work in 15 days and B can do it in 16 days and C can do it 24 days. They started the work together and A leaves after 3 days and B leaves after 4 days from the beginning. How long will work lost ? 1485 0

  • 1
    10 2/3 days
    Correct
    Wrong
  • 2
    13 1/5 days
    Correct
    Wrong
  • 3
    12 2/3 days
    Correct
    Wrong
  • 4
    11 5/7 days
    Correct
    Wrong
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Answer : 2. "13 1/5 days"
Explanation :

Answer: B) 13 1/5 days Explanation: 3/15 + 4/16 + x/24 = 1 ⇒x=1315

Q: Is steel a compound? 1484 0

  • 1
    TRUE
    Correct
    Wrong
  • 2
    FALSE
    Correct
    Wrong
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Answer : 2. "FALSE"
Explanation :

Answer: B) FALSE Explanation: Steel is not a compound or element. Steel is an alloy of iron and carbon and other elements and hence it is a mixture. Because of its high tensile strength and low cost, it is a major component used in buildings, infrastructure, tools, ships, automobiles, machines, appliances, and weapons.

Q: 25 divided by 7 1483 0

  • 1
    3.571
    Correct
    Wrong
  • 2
    35.71
    Correct
    Wrong
  • 3
    0.351
    Correct
    Wrong
  • 4
    0.0357
    Correct
    Wrong
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Answer : 1. "3.571"
Explanation :

Answer: A) 3.571 Explanation: Here we have 25 divided by 7. 25 will not go directly in 7 Hence, we get the result in decimals. 25/7 = 3.571.

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: 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: The average age of husband, wife and their child 3 years ago was 24 years and that of wife and child 5 years ago was 25 years. The present age of the husband is: 1480 0

  • 1
    21 yrs
    Correct
    Wrong
  • 2
    27 yrs
    Correct
    Wrong
  • 3
    29 yrs
    Correct
    Wrong
  • 4
    31 yrs
    Correct
    Wrong
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Answer : 1. "21 yrs"
Explanation :

Answer: A) 21 yrs Explanation: Sum of ages of husband, wife and child= (24 × 3) + 9 = 81 years Sum of ages of wife and child => 25 × 2 + 10 = 50 + 10 = 60 years Age of husband = 81 - 60 = 21 years.

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