GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: Ashwin fires two bullets from the same place at an interval of 15 minutes but Rahul sitting in a bus approaching the place hears the second sound 14 minutes 30 seconds after the first. If sound travels at the speed of 330 meter per second, what is the approximate speed of bus? 3148 05b5cc670e4d2b4197774c060
5b5cc670e4d2b4197774c060- 1330/29 m/strue
- 2330 x 30 m/sfalse
- 3330/14 m/sfalse
- 4330/900 m/sfalse
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उत्तर : 1. "330/29 m/s"
व्याख्या :
Answer: A) 330/29 m/s Explanation: Second gun shot take 30 sec to reach rahul imples distance between two. given speed of sound = 330 m/s Now, distance = 330 m/s x 30 sec Hence, speed of the bus = d/t = 330x30/(14x60 + 30) = 330/29 m/s.
प्र: "Compounding frequency" refers to 3148 05b5cc642e4d2b4197774bb57
5b5cc642e4d2b4197774bb57- 1What type of interest your account earnsfalse
- 2How often your interest is calculated and added back into your accounttrue
- 3What interest rate you can expect from your accountfalse
- 4How easily you can add money into your accountfalse
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उत्तर : 2. "How often your interest is calculated and added back into your account"
व्याख्या :
Answer: B) How often your interest is calculated and added back into your account Explanation: Compounding frequency : The time periods when interest will be calculated on top of the original loan amount (or) The number of compounding periods in one year. The greater the compounding frequency, the more often your interest is calculated and added back into your account.
प्र: प्रिंटर का रिजॉल्यूशन में मापा जाता है 3146 05b5cc626e4d2b4197774b869
5b5cc626e4d2b4197774b869- 1DPItrue
- 2Megabitsfalse
- 3Hertzfalse
- 4Inchesfalse
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उत्तर : 1. "DPI"
व्याख्या :
Answer: A) DPI व्याख्या: डॉट्स प्रति इंच (डीपीआई, या डीपीआई) स्थानिक मुद्रण या वीडियो या छवि स्कैनर डॉट घनत्व का एक माप है, विशेष रूप से व्यक्तिगत बिंदुओं की संख्या जिन्हें 1 इंच (2.54 सेमी) की अवधि के भीतर एक पंक्ति में रखा जा सकता है।
प्र: How many 6-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 and 7 so that the digits should not repeat and the second last digit is even ? 3146 05b5cc731e4d2b4197774f7bf
5b5cc731e4d2b4197774f7bf- 1521false
- 2720true
- 3420false
- 4225false
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उत्तर : 2. "720"
व्याख्या :
Answer: B) 720 Explanation: Let last digit is 2when second last digit is 4 remaining 4 digits can be filled in 120 ways, similarly second last digit is 6 remained 4 digits can be filled in 120 ways.so for last digit = 2, total numbers=240 Similarly for 4 and 6When last digit = 4, total no. of ways =240and last digit = 6, total no. of ways =240so total of 720 even numbers are possible.
प्र: What is better, to have 70% discount or 40 and 30% discount consequently ? 3144 05b5cc70ee4d2b4197774f38f
5b5cc70ee4d2b4197774f38f- 140% is betterfalse
- 270% is bettertrue
- 3Both are samefalse
- 4Nonefalse
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उत्तर : 2. "70% is better"
व्याख्या :
Answer: B) 70% is better Explanation: Let Price be Rs.100 1st CASE: Then 100 x 70/100 = 70=> price after discount = 100-70 = Rs.30 2nd CASE: Then 100 x 40/100 = 40=> price after discount = 100-40 = Rs.60then60 x 30/100 = 18=> price after 2 consequent discount = 60-18 = Rs.42 =>from 1 and 2 cases, 70% discount is better.
प्र: A driver of auto rickshaw makes a profit of 20% on every trip when he carries 3 passengers and the price of petrol is Rs. 30 a litre. Find the % profit for the same journey if he goes for 4 passengers per trip and the price of petrol reduces to Rs. 24 litres ? 3144 05b5cc6fee4d2b4197774f157
5b5cc6fee4d2b4197774f157- 168%false
- 280%false
- 375%false
- 4100%true
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उत्तर : 4. "100%"
व्याख्या :
Answer: D) 100% Explanation: When 3 passengers income was 3xexpense= Rs.30 profit =20% of 30 = Rs.6 That means his earning is Rs.36. so that per passenger fare must be Rs.12. When 4 passengersearning = 12x4=Rs.48.expense =Rs.24.profit = Rs.24 = 100%
प्र: Rajesh rows in still water with a speed of 4.5 kmph to go to a certain place and comes back. Find his average speed for the whole journey, if the river is flowing with a speed of 1.5 kmph? 3139 05b5cc67ee4d2b4197774c245
5b5cc67ee4d2b4197774c245- 12 kmphfalse
- 24 kmphtrue
- 36 kmphfalse
- 48 kmphfalse
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उत्तर : 2. "4 kmph"
व्याख्या :
Answer: B) 4 kmph Explanation: Let the distance in one direction = k kms Speed in still water = 4.5 kmph Speed of river = 1.5 Hence, speed in upstream = 4.5 - 1.5 = 3 kmph Speed in downstream = 4.5 + 1.5 = 6 kmph Time taken by Rajesh to row upwards = k/3 hrs Time taken by Rajesh to row downwards = k/6 hrs Now, required Average speed =Total distanceTotal speed = 2kk3 + k6 = 2k x 186k + 3k = 4 kmph Therefore, the average speed of the whole journey = 4kmph.
प्र: A trader mixes 36 kg of rice at Rs. 20 per kg with 14 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is: 3138 05b5cc76ae4d2b4197774fe4a
5b5cc76ae4d2b4197774fe4a- 125%false
- 221.14%false
- 322.54%true
- 427.32%false
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उत्तर : 3. "22.54%"
व्याख्या :
Answer: C) 22.54% Explanation: C.P. of 50 kg rice = Rs. (36 x 20 + 14 x 36) = Rs. (720 + 504) = Rs.1224. S.P. of 56 kg rice = Rs. (50 x 30) = Rs.1500. Profit = 1500 - 1224 = Rs.276 Profit % = ProfitC.P×100 = 2761224×100 = 22.54%.