GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½ times of the previous in how many days will he cover 840 km ? 2935 05b5cc745e4d2b4197774fa0e
5b5cc745e4d2b4197774fa0e- 139 daysfalse
- 237 daysfalse
- 335 daystrue
- 433 daysfalse
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उत्तर : 3. "35 days"
व्याख्या :
Answer: C) 35 days Explanation: Distance d = 1200kmlet S be the speed he walks 15 hours a day(i.e 24 - 9)so totally he walks for 70 x 15 = 1050hrs. S = 1200/1050 => 120/105 = 24/21 => 8/7kmph given 1 1/2 of previous speedso 3/2 * 8/7= 24/14 = 12/7 New speed = 12/7kmph Now he rests 10 hrs a day that means he walks 14 hrs a day. time = 840 x 7 /12 => 490 hrs=> 490/14 = 35 days So he will take 35 days to cover 840 km.
प्र: An intelligent boy is doing a jigsaw with 275 pieces. Each day that he fits pieces together there are fewer pieces left, and it is reasonable to assume that he fits more pieces each day because the number left to sort out diminishes progressively. Hence he is able to fit an extra piece as each day goes by. On the first day he fits 20 pieces. How many days does it take for him to complete the puzzle ? 2935 05b5cc71ee4d2b4197774f59a
5b5cc71ee4d2b4197774f59a- 111 daystrue
- 215 daysfalse
- 313 daysfalse
- 416 daysfalse
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उत्तर : 1. "11 days"
व्याख्या :
Answer: A) 11 days Explanation: Let 'n' number of days it take to complete. we know that sum of n number= n/2[2a+(n-1)d]where a=20,d=1;n/2[2x20+(n-1)1]=275n[n+39]=550n2 + 39n - 550 = 0 n2+ 50n - 11n - 550 = 0(n-11) (n-50) = 0n-11 = 0;n = 11(Days).
प्र: Tilak rides on a cycle to a place at speed of 22 kmph and comes back at a speed of 20 kmph. If the time taken by him in the second case is 36 min. more than that of the first case, what is the total distance travelled by him (in km)? 2934 05b5cc6a0e4d2b4197774ca6c
5b5cc6a0e4d2b4197774ca6c- 1132 kmfalse
- 2264 kmtrue
- 3134 kmfalse
- 4236 kmfalse
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उत्तर : 2. "264 km"
व्याख्या :
Answer: B) 264 km Explanation: Let the distance travelled by Tilak in first case or second case = d kms Now, from the given data, d/20 = d/22 + 36 min => d/20 = d/22 + 3/5 hrs => d = 132 km. Hence, the total distance travelled by him = d + d = 132 + 132 = 264 kms.
प्र: Planet : Orbit :: Projectile : ? 2933 05b5cc66de4d2b4197774bf9b
5b5cc66de4d2b4197774bf9b- 1Pathfalse
- 2Milky wayfalse
- 3Trackfalse
- 4Trajectorytrue
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उत्तर : 4. "Trajectory"
व्याख्या :
Answer: D) Trajectory Explanation: The path traced by planet is called Orbit. Similarly, the path traced by projectile is called Trajectory. Hence, Planet : Orbit : : Projectile : Trajectory.
प्र: क्लिपबोर्ड 2932 15b5cc672e4d2b4197774c0aa
5b5cc672e4d2b4197774c0aa- 1एक कैश मेमोरी हैfalse
- 2एक सुविधा है जो उपयोगकर्ता की जानकारी संग्रहीत करती हैfalse
- 3अस्थायी रूप से स्टोर करने के लिए उपयोग किया जाता है, जो आइटम कट या कॉपी किए गए हैंtrue
- 4एक ऐसी सुविधा है जो फ़ाइल को अस्थायी रूप से सहेजती हैfalse
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उत्तर : 3. "अस्थायी रूप से स्टोर करने के लिए उपयोग किया जाता है, जो आइटम कट या कॉपी किए गए हैं"
व्याख्या :
Answer: C) काटे गए या कॉपी किए गए आइटम को अस्थायी रूप से स्टोर करने के लिए उपयोग किया जाता है स्पष्टीकरण: क्लिपबोर्ड उन वस्तुओं के लिए एक अस्थायी भंडारण क्षेत्र है जिसे उपयोगकर्ता एक स्थान से दूसरे स्थान पर काटना या कॉपी करना चाहता है। उदाहरण के लिए, किसी शब्द संसाधक अनुप्रयोग में, उपयोगकर्ता किसी दस्तावेज़ के एक भाग से पाठ को काटना और दस्तावेज़ के दूसरे भाग में चिपकाना चाहता है या कहीं और, यह अस्थायी रूप से क्लिपबोर्ड में संग्रहीत होता है।
प्र: 12 year old Manish is three times as old as his brother Rajeev. How old will Manish be when he is twice as old as Rajeev ? 2925 05b5cc720e4d2b4197774f5f4
5b5cc720e4d2b4197774f5f4- 112 yrsfalse
- 214 yrsfalse
- 316 yrstrue
- 418 yrsfalse
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उत्तर : 3. "16 yrs"
व्याख्या :
Answer: C) 16 yrs Explanation: 12 year old Manish is three times as old as his brother Rajeev who must be 4 years old.Diff in ages = 8 years.when Rajeev will become 8 years old, Manish will be 16 yrs old and he will be twice as old as Rajeev.
प्र: Find the odd one out? 6, 3, 3, 4.5, 10 2925 05b5cc698e4d2b4197774c670
5b5cc698e4d2b4197774c670- 13false
- 24.5false
- 36false
- 410true
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उत्तर : 4. "10"
व्याख्या :
Answer: D) 10 Explanation: Here the given number series is 6, 3, 3, 4.5, 10 The odd one in the given series is 10 The pattern it follows is 6 6 x 0.5 = 3 3 x 1 = 3 3 x 1.5 = 4.5 4.5 x 2 = 9 Hence, the odd number is 10.
प्र: X can complete the work in 10 days, Y can do the same in 15 days. If they are hired for 5 days to do the work together, what is the work that left unfinished? 2924 05b5cc6bfe4d2b4197774da0a
5b5cc6bfe4d2b4197774da0a- 11/3false
- 22/3false
- 31/6true
- 45/6false
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उत्तर : 3. "1/6"
व्याख्या :
Answer: C) 1/6 Explanation: Given X can do in 10 days => 1 day work of X = 1/10 Y can do in 15 days => 1 day work of Y = 1/15 1day work of (X + Y) = 1/10 + 1/15 = 1/6 Given they are hired for 5 days => 5 days work of (X + Y) = 5 x 1/6 = 5/6 Therefore, Unfinished work = 1 - 5/6 = 1/6