GATE Practice Question and Answer
8Q: 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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Answer : 1. "330/29 m/s"
Explanation :
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.
Q: "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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Answer : 2. "How often your interest is calculated and added back into your account"
Explanation :
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.
Q: The resolution of a printer is measured in 3146 05b5cc626e4d2b4197774b869
5b5cc626e4d2b4197774b869- 1DPItrue
- 2Megabitsfalse
- 3Hertzfalse
- 4Inchesfalse
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Answer : 1. "DPI"
Explanation :
Answer: A) DPI Explanation: Dots per inch (DPI, or dpi) is a measure of spatial printing or video or image scanner dot density, in particular the number of individual dots that can be placed in a line within the span of 1 inch (2.54 cm).
Q: 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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Answer : 2. "720"
Explanation :
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.
Q: 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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Answer : 2. "70% is better"
Explanation :
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.
Q: 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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Answer : 4. "100%"
Explanation :
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%
Q: 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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Answer : 2. "4 kmph"
Explanation :
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.
Q: 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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Answer : 3. "22.54%"
Explanation :
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%.