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 ? 1552 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: 9 17 11 19 13 What Are The Next Three Numbers In The Given Number Series? 1552 0

  • 1
    17, 10, 18
    Correct
    Wrong
  • 2
    19, 14, 23
    Correct
    Wrong
  • 3
    21, 15, 23
    Correct
    Wrong
  • 4
    19, 13, 22
    Correct
    Wrong
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Answer : 3. "21, 15, 23"
Explanation :

Answer: C) 21, 15, 23 Explanation: Given number series is 9 17 11 19 13  Here the pattern is 9 9 + 8 = 17 17 - 6 = 11 11 + 8 = 19 19 - 6 = 13 13 + 8 = 21 21 - 6 = 15 15 + 8 = 23

Q: The age of Manisha and Sudeshna are in the ratio of 5 : 6 respectively. After 8 years the ratio  of their ages will be 7 : 8. What is the difference of their ages ? 1551 0

  • 1
    6
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    8
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
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Answer : 2. "4"
Explanation :

Answer: B) 4 Explanation: Let the age of Manisha and Sudeshna is 5x and 6x years respectively. According to the given data, 5x+8/6x+8 = 7/8 42x + 56 = 40x + 64 x = 4 Required Difference of their ages = (6 × 4)  –  (5 × 4) = 4 years.

Q: Find the sum to 200 terms of the series 2 + 5 + 7 + 6 + 12 + 7 + .... 1551 0

  • 1
    30,400
    Correct
    Wrong
  • 2
    30,200
    Correct
    Wrong
  • 3
    34,600
    Correct
    Wrong
  • 4
    38,400
    Correct
    Wrong
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Answer : 1. "30,400"
Explanation :

Answer: A) 30,400 Explanation: we can treat every two consecutive terms as one.So, we will have a total of 100 terms of the nature:(2 + 5) + (7 + 6) + (12 + 7).... => 7, 13, 19,....   We know the sum of n terms  nn+12   Now, a= 7, d=6 and n=100Hence the sum of the given series is S= 100/2 x[2 x 7 + 99 x 6]=> 50[608]=> 30,400.

Q: Who has won the orange cap for scoring the most runs in IPL 2018? 1550 0

  • 1
    Rishabh Pant (Delhi Daredevils)
    Correct
    Wrong
  • 2
    Virat Kohli (Royal Challengers Bangalore)
    Correct
    Wrong
  • 3
    Ambati Rayudu (Chennai Super Kings)
    Correct
    Wrong
  • 4
    Kane Williamson (Sunrisers Hyderabad)
    Correct
    Wrong
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Answer : 4. "Kane Williamson (Sunrisers Hyderabad)"
Explanation :

Answer: D) Kane Williamson (Sunrisers Hyderabad) Explanation: Kane Williamson, the captain of Sunrisers Hyderabad team has won orange cup for scoring the most runs in IPL 2018. The orange cap is presented annually in the Indian Premier League to the highest run scorer.

Q: Air pressure is measured in which of the following units? 1550 0

  • 1
    Steridian
    Correct
    Wrong
  • 2
    kg/mts
    Correct
    Wrong
  • 3
    Newton
    Correct
    Wrong
  • 4
    Pascal
    Correct
    Wrong
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Answer : 4. "Pascal"
Explanation :

Answer: D) Pascal Explanation: Pressure = (Net Force) / (Applied area) = Newton / square meters Measuring units of pressure are: . Pascal. Bar. Torr. Pounds per square inch (psi). Standard atmosphere (atm).

Q: LCD of 12 and 18 1550 0

  • 1
    36
    Correct
    Wrong
  • 2
    42
    Correct
    Wrong
  • 3
    12
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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Answer : 1. "36"
Explanation :

Answer: A) 36 Explanation:   LCD is nothing but Lowest or Least Common Denominator   Here LCD of 12 and 18 means LCD of two fractions with denominators 12 and 18 respectively.   Therefore, LCM of 12 & 18 = 6 x 3 x 2 = 36     How to calculate LCD :: The lowest common denominator or least common denominator (LCD) is the least common multiple (LCM) of the denominators of a set of fractions.

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? 1549 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

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