GATE Practice Question and Answer

Q: How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines? 2787 0

  • 1
    215
    Correct
    Wrong
  • 2
    315
    Correct
    Wrong
  • 3
    415
    Correct
    Wrong
  • 4
    115
    Correct
    Wrong
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Answer : 2. "315"
Explanation :

Answer: B) 315 Explanation: Parallelograms are formed when any two pairs of parallel lines (where each pair is not parallel to the other pair) intersect.   Hence, the given problem can be considered as selecting pairs of lines from the given 2 sets of parallel lines.   Therefore, the total number of parallelograms formed = 7C2 x 6C2 = 315

Q: Three taps P, Q and R can fill a tank in 12 hrs, 15 hrs and 20 hrs respectively. If P is open all the time and Q and R are open for one hour each alternately, starting with Q, then the tank will be full in how many hours ? 2787 0

  • 1
    9 hrs
    Correct
    Wrong
  • 2
    7 hrs
    Correct
    Wrong
  • 3
    13 hrs
    Correct
    Wrong
  • 4
    11 hrs
    Correct
    Wrong
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Answer : 2. "7 hrs"
Explanation :

Answer: B) 7 hrs Explanation: Given, P can fill in 12 hrs Q can fill in 15 hrs R can fill in 20 hrs => Volume of tank = LCM of 12, 15, 20 = 60 lit => P alone can fill the tank in 60/12 = 5 hrs => Q alone can fill the tank in 60/15 = 4 hrs => R alone can fill the tank in 60/20 = 3 hrs Tank can be filled in the way that (P+Q) + (P+R) + (P+Q) + (P+R) + .... => Tank filled in 2 hrs = (5+4) + (5+3) = 9 + 8 = 17 lit => In 6 hrs = 17 x 6/2 = 51 lit => In 7th hr = 51 + (5+4) = 51 + 9 = 60 lit => So, total tank will be filled in 7 hrs.

Q: An Excel Workbook is a collection of 2780 1

  • 1
    Charts
    Correct
    Wrong
  • 2
    Worksheets
    Correct
    Wrong
  • 3
    Both A & B
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 3. "Both A & B"
Explanation :

Answer: C) Both A & B Explanation: An M.S Excel Workbook is a collection of both Worksheets and Charts.

Q: Complete the next number in the given number series? 21 56 102 160 231 316 2777 0

  • 1
    416
    Correct
    Wrong
  • 2
    415
    Correct
    Wrong
  • 3
    414
    Correct
    Wrong
  • 4
    413
    Correct
    Wrong
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Answer : 1. "416"
Explanation :

Answer: A) 416 Explanation: The given number series is  21 56 102 160 231 316   21      56       102        160      231       316         416    +35    +46       +58       +71      +85       +100         +11      +12       +13      +14      +15   Hence, the next number in the given number series is 316 + 100 = 416.

Q: A rectangular block has the dimensions 5x6x7 cm it is dropped into a cylindrical vessel of radius 6cm and height 10 cm. If the level of the fluid in the cylinder rises by 4 cm, What portion of the block is immersed in the fluid ? 2775 0

  • 1
    22/7 x 24/35
    Correct
    Wrong
  • 2
    22/7 x 36 x 4
    Correct
    Wrong
  • 3
    22/7 x 36/5
    Correct
    Wrong
  • 4
    22/7 x 37/21
    Correct
    Wrong
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Answer : 1. "22/7 x 24/35"
Explanation :

Answer: A) 22/7 x 24/35 Explanation: Since level of water increased in cylinder by height 4.  This is because of the rectangular block .   Therefore , area of rectangular block immersed in water is  = 227×6×6×4   Thats why portion of block immersed in water is  = (22/7 * 36 * 4) / total vol. of rectangle  = (22/7 * 36 * 4)/ (7*5*6)  = (22/7 * 24)/ 35.

Q: If a person having Rs. 2000 and he want to distribute this to his five children in the manner that each son having Rs. 30 more than the younger one , what will be the share of youngest child ? 2775 1

  • 1
    Rs. 175
    Correct
    Wrong
  • 2
    Rs. 325
    Correct
    Wrong
  • 3
    Rs. 340
    Correct
    Wrong
  • 4
    Rs. 260
    Correct
    Wrong
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Answer : 3. "Rs. 340"
Explanation :

Answer: C) Rs. 340 Explanation: Assume first child (the youngest) get = Rs. x According to the question ;each son having Rs. 30 more than the younger one Second child will get = Rs. x + 30 Third child will get = Rs. x + 30 + 30 = x + 60 Forth child will get = Rs. x + 30 + 30 + 30 = x + 90 Fifth child will get = Rs. x + 30 + 30 + 30 + 30 = x + 120 Total amount they got = Rs. 2000 x + (x+30) + (x+60) + (x+90) + (x+120) = 20005x + 300 = 20005x = 1700x = Rs. 340So the youngest child will get Rs. 340.

Q: If 15 men 4 hours per day works for 14 days get Rs.35/- then how many men required if the work is 8 hours per day for 10 days they get 50/- ? 2774 0

  • 1
    12
    Correct
    Wrong
  • 2
    13
    Correct
    Wrong
  • 3
    14
    Correct
    Wrong
  • 4
    15
    Correct
    Wrong
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Answer : 4. "15"
Explanation :

Answer: D) 15 Explanation: We know M1×D1×H1W1 = M2×D2×H2W2    => 15×4×1435 = M×8×1050   => M = 15

Q: Which is the point from where an azimuth originates? 2773 0

  • 1
    South
    Correct
    Wrong
  • 2
    North
    Correct
    Wrong
  • 3
    East
    Correct
    Wrong
  • 4
    West
    Correct
    Wrong
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Answer : 2. "North"
Explanation :

Answer: B) North Explanation: The azimuth originates at true North i.e, the azimuth originates from the north point. It is a measure of how far an object forms the observer's north point.   Azimuth is a technical mapping term which is used to describe the direction of an angle between north and south on a compass circle through which the circle line passes. It is the most common military method to express direction. When using an azimuth, the point from which the azimuth originates is the center of an imaginary circle.

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