GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: A farmer divides his herd of k cows among his 4 sons, so that one son gets one half of the herd, the second gets one-fourth, the third gets one-fifth and the fourth gets 9 cows. Then k is equal to ? 1535 05b5cc73de4d2b4197774f92a
5b5cc73de4d2b4197774f92a- 1160false
- 2120false
- 3140false
- 4180true
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उत्तर : 4. "180"
व्याख्या :
Answer: D) 180 Explanation: Given total number of cows = kNow, 1st son share = k/22nd son share = k/43rd son share = k/54th son share = 9 (k) + (k/4) + (k/5) + 9 = k=> k - (19k/20) = 9=> (20k-19k)/20 = 9=> k = 180.
प्र: What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high ? 1533 05b5cc6e5e4d2b4197774ed1f
5b5cc6e5e4d2b4197774ed1f- 113 mtrue
- 214 mfalse
- 315 mfalse
- 416 mfalse
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उत्तर : 1. "13 m"
व्याख्या :
Answer: A) 13 m Explanation: The length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high is => d2 = 122 + 42 + 32 = 13mts.
प्र: Find the Value of ? 5.112.2+5.553.3+6.31.4+7.22.001 = ? x 3.34 1533 05b5cc6b1e4d2b4197774d318
5b5cc6b1e4d2b4197774d318- 181false
- 277false
- 373false
- 489true
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उत्तर : 4. "89"
व्याख्या :
Answer: D) 89 Explanation: This can be done in a method called Approximation. Now, 52 + 63 + 6 + 72 = ? x 3.3425 + 216 + 6 + 49 = ? x 3.34296 = ? x 3.34? = 2963.34 = 88.622 ≅ 89
प्र: Which is faster Light or Sound? 1533 15b5cc6b3e4d2b4197774d463
5b5cc6b3e4d2b4197774d463- 1Lighttrue
- 2Soundfalse
- 3Both are samefalse
- 4Can't be determinedfalse
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उत्तर : 1. "Light"
व्याख्या :
Answer: A) Light Explanation: Light travels Faster than Sound. Light : 1. Light doesn't require a medium to travel. 2. It travels in the vaccum with the speed of 1,86,000 miles per second. Sound: 1. Sound rquire a medium. 2. It travels in the Air with the speed of 340 meters per second. 3. It travels Faster in Water than in Air. 4. It travels Faster in Steel than in Water.
प्र: 3 x 3 + 3 - 3 + 3 = ? 1532 05b5cc65ee4d2b4197774be59
5b5cc65ee4d2b4197774be59- 19false
- 212true
- 3-3false
- 43false
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उत्तर : 2. "12"
व्याख्या :
Answer: B) 12 Explanation: Using BODMAS law, 3 x 3 + 3 - 3 + 3 = 3 x 3 = 12 = 12 + 3 - 3 + 3 = 9 + 3 = 12 Hence, 3 x 3 + 3 - 3 + 3 = 12.
प्र: What do lines of latitude measure? 1532 05b5cc6a1e4d2b4197774cb03
5b5cc6a1e4d2b4197774cb03- 1east-west position between the polesfalse
- 2north-south position between the polestrue
- 3north-east position between the polesfalse
- 4south-west position between the polesfalse
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उत्तर : 2. "north-south position between the poles"
व्याख्या :
Answer: B) north-south position between the poles Explanation: Lines of latitude measure north-south position between the poles. Lines of latitude are imaginary reference lines that describe how far north or south a location on the Earth is from the Equator. The equator is defined as 0 degrees, the North Pole is 90 degrees north, and the South Pole is 90 degrees south. Lines of latitude are all parallel to each other, thus they are often referred to as parallels.
प्र: Rs. 50000 is divided into two parts One part is given to a person with 10% interest and another part is given to a person with 20 % interest. At the end of first year he gets profit 7000 Find money given by 10% ? 1532 05b5cc711e4d2b4197774f3b9
5b5cc711e4d2b4197774f3b9- 1Rs. 20,000false
- 2Rs. 10,000false
- 3Rs. 30,000true
- 4Rs. 40,000false
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उत्तर : 3. "Rs. 30,000"
व्याख्या :
Answer: C) Rs. 30,000 Explanation: Let first part is 'K' and second part is 'L' then K + L = 50000---------eq1Total profit = profit on x + profit on y7000 = (K x 10 x 1)/100 + (L x 20 x 1)/10070000 = K + 2L-----------------------------------eq270000 = 50000 + Lso L = 20000 then K = 50000 - 20000 = 30000first part on 10% is = Rs.30000
प्र: The ratio of the angles of a triangle is 3 : 4 : 5. The three angles of a quadrilateral is equal to three angles of this triangle. What is the sum of the largest angle and second smallest angle of the quadrilateral ? 1531 05b5cc6cae4d2b4197774dfd9
5b5cc6cae4d2b4197774dfd9- 1225 degtrue
- 2210 degfalse
- 3205 degfalse
- 4245 degfalse
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उत्तर : 1. "225 deg"
व्याख्या :
Answer: A) 225 deg Explanation: Angle of triangle = 180 × 3/12 = 45 deg Other angles of the triangle are = 60 deg, 75 deg Angle of quadrilateral = 360 - (45 + 60 + 75) = 180 deg Therefore, the four angles of the quadrilateral are 45, 60, 75 & 180 degrees. Hence, the sum of largest and smallest angle of the quadrilateral are 180 + 45 = 225 deg.

