GATE Practice Question and Answer
8Q: How many meshes are there in 1 squrare meter of wire gauge if each mesh is 8mm long and 5mm wide ? 1857 05b5cc754e4d2b4197774fb58
5b5cc754e4d2b4197774fb58- 12500false
- 225000true
- 312500false
- 415400false
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Answer : 2. "25000"
Explanation :
Answer: B) 25000 Explanation: We know that, One square meter is equal to 10,00,000 sq mm.Given, each mesh is 8mm length and 5mm wideTherefore for each mesh : 8 x 5 = 40 sq mm.So, number of meshes = 100000040 = 25000.
Q: It costs Rs. p each to send the first thousand messsages and Rs. q to send each subsequent one . If r is greater than 1,000, how many Rupees will it cost to send r messages ? 1855 05b5cc6cfe4d2b4197774e2ef
5b5cc6cfe4d2b4197774e2ef- 11000 (r - p) + pqfalse
- 21000 p + qrfalse
- 31000 (r - q) + prfalse
- 41000(p - q) + qrtrue
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Answer : 4. "1000(p - q) + qr"
Explanation :
Answer: D) 1000(p - q) + qr Explanation: We need to find the total cost to send r messsages, r > 1000. The first 1000 messsages will cost Rs.p each (Or) The total cost of first 1000 messsages = Rs.1000p The remaining (r - 1000) messsages will cost Rs.q each (Or) The cost of the (r - 1000) = Rs.(r - 1000)y Therefore, total cost = 1000p + rq - 1000q = 1000(p - q) + qr
Q: Prashanth sold a album for $ 735 and made a profit of 22.5% . The cost price of the album went up by $120 and so Prashanth increased the selling price by $120. What is his profit % now ? 1853 05b5cc715e4d2b4197774f431
5b5cc715e4d2b4197774f431- 119.32 %false
- 218.75 %true
- 321.41 %false
- 422 %false
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Answer : 2. "18.75 %"
Explanation :
Answer: B) 18.75 % Explanation: Prashanth sold a album for $ 735 and made a profit of 22.5% .CP = 735 x 100/122.5 = Rs. 600New CP = 600 + 120 = Rs. 720New SP = 735 + 120 = Rs. 855. Profit = Rs. 135. profit % = 100 x 135/720 = 18.75%.
Q: Doctor : Nurse :: ? : Follower 1852 05b5cc69ae4d2b4197774c77d
5b5cc69ae4d2b4197774c77d- 1Managerfalse
- 2Employerfalse
- 3Workerfalse
- 4Leadertrue
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Answer : 4. "Leader"
Explanation :
Answer: D) Leader Explanation: Here the second one follows the first one. That is a nurse follows a doctor and similarly, a follower follows a leader. Hence, Doctor : Nurse :: Leader : Follower.
Q: K can finish the work in 18 days and L can do the same work in 15 days. L worked for 10 days and left the job. In how many days, K alone can finish the remaining work ? 1852 05b5cc774e4d2b4197775002f
5b5cc774e4d2b4197775002f- 15.5 daysfalse
- 26 daystrue
- 34.2 daysfalse
- 45 daysfalse
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Answer : 2. "6 days"
Explanation :
Answer: B) 6 days Explanation: L's 10 days work = 115×10=23 Remaining work = 1-23=13 Now, work is done by K in one day = 1/18 1/3 work is done by K in 18×13 = 6 days
Q: Statement: A large number of students who have passed their XII Std. terminal examination in the country could not get admission to colleges as the number of seats available are grossly inadequate.Courses of action:a. The evaluation system of XII Std. terminal examination should be made more tough so that fewer students pass the examination.b. The Government should encourage the private sector to open new colleges by providing them land at cheaper rate.c. The rich people should be asked to send their wards to foreign countries for higher studies enabling the needy students to get admission in colleges within the country. 1852 05b5cc75ce4d2b4197774fc7f
5b5cc75ce4d2b4197774fc7f- 1only a and b followsfalse
- 2Only c followsfalse
- 3Only b followstrue
- 4All a, b & c followsfalse
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Answer : 3. "Only b follows"
Explanation :
Answer: C) Only b follows Explanation: Clearly, reducing the number of aspirants for admission to colleges or sending the students of well-to-do families to foreign countries for higher studies, is no proper solution. So, both I and III do not follow. The right solution is to increase the number of colleges so as t accommodate the increasing number of admission-seekers. So, only II follows.
Q: Simplify the fraction? 5 (2/7) - 3 (1/14) - 2 (1/14) - 1 (1/7) = ? + 3 (1/17) 1850 05b5cc6a5e4d2b4197774ccef
5b5cc6a5e4d2b4197774ccef- 1-4 (1/17)true
- 25 (2/17)false
- 3-2 (1/17)false
- 43 (3/17)false
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Answer : 1. "-4 (1/17)"
Explanation :
Answer: A) -4 (1/17) Explanation: Given fraction is 5 (2/7) - 3 (1/14) - 2 (1/14) - 1 (1/7) = ? + 3 (1/17) It can be written as (5 - 3 - 2 - 1) + (2/7 - 1/14 - 1/14 - 1/7) = ? + 3 (1/17) -1 + 0 - 3 (1/17) = ? => ? = -4 (1/17)
Q: An express train takes 4 seconds to enter tunnel which is 1 km long. If it is traveling at 108 km an hour, how long will it take to pass completely through the tunnel ? 1850 05b5cc73ae4d2b4197774f8ec
5b5cc73ae4d2b4197774f8ec- 133 secfalse
- 237.33 sectrue
- 336.43 secfalse
- 432 secfalse
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Answer : 2. "37.33 sec"
Explanation :
Answer: B) 37.33 sec Explanation: Speed = 108 km/hrenter a tunnel,, means that the train covers a distance equal to its own lengthso (108 x 5/18) = x/4 where x= length of trainhence x = 120 mtrsto pass completely train has to travel a distance = (x + tunnel length) that is 1120 mtrs.so (1120/t) = (108x5/18)t = 37.33 sec