GATE Practice Question and Answer
8Q: How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines? 2787 05b5cc754e4d2b4197774fbb4
5b5cc754e4d2b4197774fbb4- 1215false
- 2315true
- 3415false
- 4115false
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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 05b5cc6c0e4d2b4197774dafb
5b5cc6c0e4d2b4197774dafb- 19 hrsfalse
- 27 hrstrue
- 313 hrsfalse
- 411 hrsfalse
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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 15b5cc636e4d2b4197774b9f5
5b5cc636e4d2b4197774b9f5- 1Chartsfalse
- 2Worksheetsfalse
- 3Both A & Btrue
- 4None of the abovefalse
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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 05b5cc5ffe4d2b4197774b436
5b5cc5ffe4d2b4197774b436- 1416true
- 2415false
- 3414false
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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 05b5cc70ee4d2b4197774f337
5b5cc70ee4d2b4197774f337- 122/7 x 24/35true
- 222/7 x 36 x 4false
- 322/7 x 36/5false
- 422/7 x 37/21false
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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 15b5cc74ae4d2b4197774fabd
5b5cc74ae4d2b4197774fabd- 1Rs. 175false
- 2Rs. 325false
- 3Rs. 340true
- 4Rs. 260false
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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 05b5cc754e4d2b4197774fb68
5b5cc754e4d2b4197774fb68- 112false
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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 05b5cc6a1e4d2b4197774ca9f
5b5cc6a1e4d2b4197774ca9f- 1Southfalse
- 2Northtrue
- 3Eastfalse
- 4Westfalse
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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.