GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: At what time between 3 and 4 o’clock will the minute hand and the hour hand are on the same straight line but facing opposite directions ? 3247 05b5cc75ee4d2b4197774fcee
5b5cc75ee4d2b4197774fcee- 13:15 2/8false
- 23:49false
- 33:49 1/11true
- 43:51false
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उत्तर : 3. "3:49 1/11"
व्याख्या :
Answer: C) 3:49 1/11 Explanation: On straight line means 180 degree angle.180 = 11/2 min – 30 hrs180 = 11/2 m – 30 × 3180 = 11/2 m – 90(180 + 90) 2 = 11 mm = 540/11 = 49 1/11 minutes.
प्र: Sony is one-fifth the age of her mother 15 years ago and Sony’s brother is three-fifth the age of his mother 10 years ago. If the sum of Sony and her brother’s ages is 31 then how old is Sony's mother ? 3243 05b5cc745e4d2b4197774fa04
5b5cc745e4d2b4197774fa04- 140false
- 250true
- 360false
- 470false
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उत्तर : 2. "50"
व्याख्या :
Answer: B) 50 Explanation: Sony and her brother's age sum is 31Let Sony's mother's age be 'x'.Now the conditions given for both of their ages related to their mom is1/5(x-15) + 3/5(x-10) = 31x-15 + 3x-30 = 1554x-45 = 1554x = 200x = 50So, Mother's age = 50. Cross verification : 15 years ago age = 35 => Sony age = 710 years ago age = 40 => bro age = 24 Sum = 24 + 7 = 31.
प्र: How long have i been alive? 3240 05b5cc6a5e4d2b4197774ccaf
5b5cc6a5e4d2b4197774ccaf- उत्तर देखेंउत्तर छिपाएं
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उत्तर :
व्याख्या :
This is a different way of asking your age. It can be how long you have been living in days weeks months and years since your birth date.
प्र: I. a2-7a+12 = 0, II. b2-3b+2 = 0 Solve both the equations to find the values of a and b ? 3236 05b5cc6e3e4d2b4197774eced
5b5cc6e3e4d2b4197774eced- 1if a > btrue
- 2if a < bfalse
- 3if the relationship between a and b cannot be established.false
- 4if a ≤ bfalse
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उत्तर : 1. "if a > b"
व्याख्या :
Answer: A) if a > b Explanation: I. (a - 3)(a - 4) = 0 => a = 3, 4 II. (b - 2)(b - 1) = 0 => b = 1, 2 => a > b
प्र: Which Indian state shares the most borders with other states? 3233 05b5cc626e4d2b4197774b850
5b5cc626e4d2b4197774b850- 1Uttarakhandfalse
- 2Rajasthanfalse
- 3Madhya Pradeshfalse
- 4Uttar Pradeshtrue
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उत्तर : 4. "Uttar Pradesh"
व्याख्या :
Answer: D) Uttar Pradesh Explanation: Uttar Pradesh is the Indian state which share the most borders with 9 different states. Neighbouring States of Uttar Pradesh – Uttarakhand and Himachal Pradesh in northwest, Delhi, Haryana and Rajasthan in west, Madhya Pradesh in south, Chhattisgarh in southeast, Bihar and Jharkhand in east.
प्र: Jagan went to another town covering 240 km by car moving at 60 kmph. Then he covered 400km by train moving at 100 kmph and then rest 200 km he covered by a bus moving at 50 kmph. The average speed during the whole journey was ? 3225 05b5cc705e4d2b4197774f244
5b5cc705e4d2b4197774f244- 136 kmphfalse
- 235 kmphfalse
- 372 kmphfalse
- 470 kmphtrue
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उत्तर : 4. "70 kmph"
व्याख्या :
Answer: D) 70 kmph Explanation: By car 240 km at 60 kmphTime taken = 240/60 = 4 hr. By train 240 km at 60 kmphTime taken = 400/100 = 4 hr. By bus 240 km at 60 kmphTime taken = 200/50 = 4 hr. So total time = 4 + 4 + 4 = 12 hr. and total speed = 240+400+200 = 840 kmAverage speed of the whole journey = 840/12 = 70 kmph.
प्र: The ratio of Pens and Pencils in a shop is 3 : 2 respectively. The average number of Pens and Pencils is 180. What is the number of Pencils in the shop? 3223 05b5cc6a7e4d2b4197774ce18
5b5cc6a7e4d2b4197774ce18- 1444false
- 2344false
- 3244false
- 4144true
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उत्तर : 4. "144"
व्याख्या :
Answer: D) 144 Explanation: Given ratio of pens and pencils = 3 :2 Number of Pens = 3x Number of Pencils = 2x Average number of pencils & Pens = 3x + 2x2 = 180 5x = 360 => x = 72 Hence, the number of pencils = 2x = 72 x 2 = 144.
प्र: Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y ? 3222 05b5cc6d8e4d2b4197774e7c6
5b5cc6d8e4d2b4197774e7c6- 1360 mfalse
- 2420 mtrue
- 3460 mfalse
- 4320 mfalse
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उत्तर : 2. "420 m"
व्याख्या :
Answer: B) 420 m Explanation: Let the length of the stationary train Y be LY Given that length of train X, LX = 300 m Let the speed of Train X be V. Since the train X crosses train Y and a pole in 60 seconds and 25 seconds respectively. => 300/V = 25 ---> ( 1 ) (300 + LY) / V = 60 ---> ( 2 ) From (1) V = 300/25 = 12 m/sec. From (2) (300 + LY)/12 = 60 => 300 + LY = 60 (12) = 720 => LY = 720 - 300 = 420 m Length of the stationary train = 420 m

