GATE Practice Question and Answer
8Q: 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. 1942 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: A, B and C can do a piece of work in 72, 48 and 36 days respectively. For first p/2 days, A & B work together and for next ((p+6))/3days all three worked together. Remaining 125/3% of work is completed by D in 10 days. If C & D worked together for p day then, what portion of work will be remained? 1941 05b5cc669e4d2b4197774bf4d
5b5cc669e4d2b4197774bf4d- 11/5false
- 21/6true
- 31/7false
- 41/8false
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Answer : 2. "1/6"
Explanation :
Answer: B) 1/6 Explanation: Total work is given by L.C.M of 72, 48, 36 Total work = 144 units Efficieny of A = 144/72 = 2 units/day Efficieny of B = 144/48 = 3 units/day Efficieny of C = 144/36 = 4 units/day According to the given data, 2 x p/2 + 3 x p/2 + 2 x (p+6)/3 + 3 x (p+6)/3 + 4 x (p+6)/3 = 144 x (100 - 125/3) x 1/100 3p + 4.5p + 2p + 3p + 4p = 84 x 3 - 54 p = 198/16.5 p = 12 days. Now, efficency of D = (144 x 125/3 x 1/100)/10 = 6 unit/day (C+D) in p days = (4 + 6) x 12 = 120 unit Remained part of work = (144-120)/144 = 1/6.
Q: What is the interest rate per annum, if a sum of money invested at compound interest amount to Rs. 2400 in 3 years and in 4 years to Rs. 2,520? 1941 05b5cc68be4d2b4197774c38a
5b5cc68be4d2b4197774c38a- 13.5%false
- 24%false
- 35%true
- 46.5%false
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Answer : 3. "5%"
Explanation :
Answer: C) 5% Explanation: Let 'R%' be the rate of interest From the given data, 25202400 = 1 + R10041 + R1003⇒1 + R100 = 6360⇒R = 5 Hence, the rate of interest R = 5% per annum.
Q: What is the relationship between Resistivity and Conductivity? 1941 05b5cc697e4d2b4197774c5d4
5b5cc697e4d2b4197774c5d4- Show AnswerHide Answer
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Answer :
Explanation :
Resistivity : Resistivity is a measure of the resistance to the flow of electrons. Conductivity : Conductivity is just the inverse of resistivity, σ = 1/ρ, where σ is conductivity and ρ is resistivity. Example: Think of a pipe and water, the bigger the pipe, the easier water can flow and thus the lower the resistance.
Q: 10 25 45 54 60 75 85 Find the Odd Number? 1941 05b5cc6bce4d2b4197774d897
5b5cc6bce4d2b4197774d897- 154true
- 210false
- 345false
- 485false
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Answer : 1. "54"
Explanation :
Answer: A) 54 Explanation: In given Series, all the numbers except 54 are multiples of 5.
Q: With an average speed of 40 km/hr, a train reaches its destination in time. If it goes with an average speed of 35 km/hr, it is late by 15 minutes. Find the length of the total journey? 1939 05b5cc662e4d2b4197774be9c
5b5cc662e4d2b4197774be9c- 170 kmstrue
- 260 kmsfalse
- 345 kmsfalse
- 430 kmsfalse
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Answer : 1. "70 kms"
Explanation :
Answer: A) 70 kms Explanation: Let the time taken by train be 't' hrs. Then, 40t = 35t + 1560 40t = 35t + 35/4 t = 7/4 hrs Therefore, Required length of the total journey d = s x t = 40 x 7/4 = 70 kms.
Q: What is the difference in the shares of profit between P and Q in a joint business at the end of one year ? a. P Invested Rs. 80,000 and withdrew Rs. 20,000 after 6 months. b. Q joined four months after the start of business. c. Q's amount was 80% of P's amount during the last six months. 1939 05b5cc70be4d2b4197774f2dc
5b5cc70be4d2b4197774f2dc- 1Only afalse
- 2Only cfalse
- 3Both a & bfalse
- 4Data is not sufficienttrue
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Answer : 4. "Data is not sufficient"
Explanation :
Answer: D) Data is not sufficient Explanation: a. P's investment = (80000 x 6 + 60000 x 6) = 840000 for 1 month. b & c. Q's investment = 80% of Rs. 60000 for 8 months. = Rs.(48000 x 8) for 1 month = 384000 for 1 month P : Q = 840000 : 384000 = 35 : 16. But, the total profit is not given, so data is inadequate.
Q: Important Time and Distance formulas with examples. 1938 05b5cc678e4d2b4197774c1b2
5b5cc678e4d2b4197774c1b2- Show AnswerHide Answer
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Answer :
Explanation :
1. How to find Speed(s) if distance(d) & time(t) is given: Speed (S) = Distance (D)Time (T) Ex: Find speed if a person travels 4 kms in 2 hrs? Speed = D/T = 4/2 = 2 kmph. 2. Similarly, we can find distance (d) if speed (s) & time (t) is given by Distance (D) = Speed (S) x Time (T) Ex : Find distance if a person with a speed of 2 kmph in 2 hrs? Distance D = S X T = 2 x 2 = 4 kms. 3. Similarly, we can find time (t) if speed (s) & distance (d) is given by Time (T) = Distance (D)Speed (S) Ex : Find in what time a person travels 4 kms with a speed of 2 kmph? Time T = D/S = 4/2 = 2 hrs. 4. How to convert km/hr into m/sec : P km/hr = P x 518 m/sec Ex : Convert 36 kmph into m/sec? 36 kmph = 36 x 5/18 = 10 m/sec 5. How to convert m/sec into km/hr : P m/sec = P x 185 kmph. Ex : Convert 10 m/sec into km/hr? 10 m/sec = 10 x 18/5 = 36 kmph. 6. If the ratio of the speeds of A and B is a:b, then the ratio of the times taken by them to cover the same distance is b : a. 7. Suppose a man covers a certain distance at x km/ hr and an equal distance at y km/hr . Then, the average speed during the whole journey is 2xyx+y km/hr.

