GATE 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 ? 1478 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: 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: 1477 0

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    21 yrs
    Correct
    Wrong
  • 2
    27 yrs
    Correct
    Wrong
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    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.

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? 1477 0

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    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: What is the most important factor in improving reading skills? 1475 0

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Answer :
Explanation :

Reading is one of the main methods we use to acquire data and information in the contemporary world. In order to read a text, a person should have a basic understanding of how sounds are represented alphabetically. For doing this, a goal could be something like finding the main idea about a reading topic or locating the supporting details for that topic. To improve your reading skills, you need to be aware of these three important areas of reading improvement: 1. Understanding adaptability. 2. Increasing reading comprehension. 3. Increasing reading rate.   Understanding adaptability and Increasing reading comprehension are the most important factors in improving reading skills.

Q: What place is designated as 0 degrees longitude? 1473 0

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    Greenwich
    Correct
    Wrong
  • 2
    Prime meridian
    Correct
    Wrong
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    Tibet
    Correct
    Wrong
  • 4
    Norway
    Correct
    Wrong
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Answer : 1. "Greenwich"
Explanation :

Answer: A) Greenwich Explanation: The place which is designated as 0 degrees longitude is Greenwich, England.

Q: How important is positive attitude to you ? 1473 0

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Answer :
Explanation :

With a positive attitude you see the bright side of life, become optimistic, and expect the best to happen. It is certainly a state of mind that is well worth developing. Not only it enriches one’s experience of life, but it also paves the way for self-development leading one towards attaining the desired results. As regards employment, it is a valuable thing to maintain positive attitude. Whether you are a manager or a subordinate, maintaining positive attitude in the work place brings lots of benefits while allowing you to fulfill your objectives successfully.A positive frame of mind can help you in many ways, such as:- Making you feel inspired.- Identification.- Believing in yourself and in your abilities.- You look for solutions, instead of dwelling on problems.- The most important thing is building relations.

Q: Where was India's first F1 circuit built? 1472 0

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    Jaipur
    Correct
    Wrong
  • 2
    Coimbatore
    Correct
    Wrong
  • 3
    Noida
    Correct
    Wrong
  • 4
    Chennai
    Correct
    Wrong
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Answer : 3. "Noida"
Explanation :

Answer: C) Noida Explanation: Fi circuit refers to Formula One, is the highest class of open-wheeled auto racing defined by FIA, motorsport's world governing body.   The Buddh International Circuit is an Indian motor racing circuit in Greater Noida, Uttar Pradesh was India's first F1 circuit.

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 : 1472 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.

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