GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: K is 50% faster than L. If L starts at 9 A.M. and K starts at 10 A.M. L travels at a speed of 50 km/hr. If L and K are 300 kms apart, The time when they meet when they travel in opposite direction is ? 2247 05b5cc741e4d2b4197774f9e5
5b5cc741e4d2b4197774f9e5- 112 pmtrue
- 21 pmfalse
- 311 amfalse
- 411:30 amfalse
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उत्तर : 1. "12 pm"
व्याख्या :
Answer: A) 12 pm Explanation: let 't' be the time after which they met since L starts. Given K is 50% faster than L 50 t + 1.5*50(t-1) = 300 50 t +75 t = 300 + 75 t = 375 / 125 = 3 hrs past the time that L starts So they meet at (9 + 3)hrs = 12:00 noon.
प्र: In agroup of six women, there are four dancers, four vocal musicians, one actress and three violinists. Girija and Vanaja are among the violinists while Jalaja and Shailaja do not know how to ply on the violin. Shailaja and Tanuja are among the dancers. Jalaja, Vanaja, Shailaja and Tanuja are all vocal musicians and two of them are also violinists. If Pooja is an actress, who among the following is both a dancer and a violinist ? 2244 05b5cc758e4d2b4197774fbfe
5b5cc758e4d2b4197774fbfe- 1Shailajafalse
- 2Vanajafalse
- 3Girijafalse
- 4Tanujatrue
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उत्तर : 4. "Tanuja"
व्याख्या :
Answer: D) Tanuja Explanation: The four vocal musicians and one actress in the group are given. Two dancers are Shailaja and Tanuja. Two violinists are Girija and Vanaja. Since Jalaja and Shailaja cannot be violinists, so remaining two violinists are Tanuja and Pooja. Clearly, Tanuja is both a violinist and a dancer.
प्र: If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 350%, the resultant fraction is 25/51. What is the original fraction ? 2244 05b5cc73ae4d2b4197774f8a1
5b5cc73ae4d2b4197774f8a1- 131/25false
- 215/17true
- 314/25false
- 411/16false
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उत्तर : 2. "15/17"
व्याख्या :
Answer: B) 15/17 Explanation: The original fraction is 2551 × 350+100150+100 = 15/17.
प्र: A motorboat can go 10 miles downstream on a river in 20 min. It takes 30 min for this boat to go back at the same 10 miles. Find the speed of the current ? 2244 05b5cc6bfe4d2b4197774da29
5b5cc6bfe4d2b4197774da29- 18 m/hfalse
- 25 m/htrue
- 37 m/hfalse
- 46 m/hfalse
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उत्तर : 2. "5 m/h"
व्याख्या :
Answer: B) 5 m/h Explanation: As the distance travelled is constant, the time taken is inversely proportional to speed. Let 'u' be the speed of the current and 'v' be the speed of the boat. Speed of the boat downstream = v + u & upstream = v - u => v+u/v-u = 30/20 => v/u = 5 => v = 5u => v + u = 6u = 10/20/60 miles/hr => 6u = 30 m/h => u = 5 m/h
प्र: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man ? 2241 05b5cc6d7e4d2b4197774e728
5b5cc6d7e4d2b4197774e728- 14.58 kmsfalse
- 26.35 kmsfalse
- 35.76 kmstrue
- 45.24 kmsfalse
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उत्तर : 3. "5.76 kms"
व्याख्या :
Answer: C) 5.76 kms Explanation: Speed in still water = 6 kmph Stream speed = 1.2 kmph Down stream = 7.2 kmph Up Stream = 4.8 kmph x/7.2 + x/4.8 = 1 x = 2.88 Total Distance = 2.88 x 2 = 5.76 kms
प्र: The sum of three consecutive multiples of 3 is 72. What is the second largest number ? 2241 05b5cc6d8e4d2b4197774e7ba
5b5cc6d8e4d2b4197774e7ba- 127false
- 224true
- 321false
- 442false
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उत्तर : 2. "24"
व्याख्या :
Answer: B) 24 Explanation: Let the numbers be 3x, 3x + 3 and 3x + 6.Then,3x + (3x + 3) + (3x + 6) = 729x = 63x = 7Largest number = 3x + 6 = 27. => Second largest number = 27 - 3 = 24
प्र: Which solution is most concentrated? 2237 05b5cc615e4d2b4197774b6ce
5b5cc615e4d2b4197774b6ce- 16 g of solute in 10 ml of solutionfalse
- 220.5 g of solute in 50 ml of solutionfalse
- 330 g of solute in 120 ml of solutionfalse
- 42.6 g of solute in 2 ml of solutiontrue
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उत्तर : 4. "2.6 g of solute in 2 ml of solution"
व्याख्या :
Answer: D) 2.6 g of solute in 2 ml of solution Explanation: A concentrated solution will contain the most solute molecules per solvent molecules. Here in the given options, 1) 6/10 = 0.6 2) 20.5/50 = 0.41 3) 30/120 = 0.25 4) 2.6/2 = 1.3 Hence, option D) is most concentrated.
प्र: Find the next number in the following number series? 11, 13, 30, 96, ? 2237 05b5cc688e4d2b4197774c318
5b5cc688e4d2b4197774c318- 1264false
- 2392true
- 3412false
- 4459false
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उत्तर : 2. "392"
व्याख्या :
Answer: B) 392 Explanation: The given number series 11, 13, 30, 96, ? follows a pattern that, 11 11 x 1 + 2 = 13 13 x 2 + 4 = 30 30 x 3 + 6 = 96 96 x 4 + 8 = 392 Hence, the next number in the given series is 392.

