GATE Practice Question and Answer
8Q: At a certain rate of interest the compound interest of 3 years and simple interest of 5 years for certain sum of money is respectively Rs. 1513.2 and Rs. 2400. Find the common rate of interest per annum ? 2831 05b5cc6cde4d2b4197774e1cc
5b5cc6cde4d2b4197774e1cc- 15%true
- 26%false
- 34%false
- 43%false
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Answer : 1. "5%"
Explanation :
Answer: A) 5% Explanation: Given compound interest for 3 years = Rs. 1513.2 and simple interest for 5 years = Rs. 2400 Now, we know that C.I = P1+R100n - 1 => 1513.2 = P1+R1003 - 1 ...........(A) And S.I = PTR/100 => 2400 = P5R/100 ..................(B) By solving (A) & (B), we get R = 5%.
Q: A supplier supplies cartridges to a news paper publishing house. He earns a profit of 25% by selling cartridges for Rs. 1540. Find the cost price of the Cartridges ? 2828 05b5cc741e4d2b4197774f9a9
5b5cc741e4d2b4197774f9a9- 1Rs. 1100false
- 2Rs. 1793.4false
- 3Rs. 1440false
- 4Rs. 1232true
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Answer : 4. "Rs. 1232"
Explanation :
Answer: D) Rs. 1232 Explanation: Let Cost Price(C.P) = Pgain% = {(S.P-C.P)/C.P} x 10025 = {(1540-P)/P} x 10025/100 = (1540-P)/P=> P = 4(1540)-4P=> 5P = 4(1540)=> P = 1232So, Cost Price = Rs. 1232
Q: Simplify the following : 373+353+283-3x37x35x28372+352+282-37x35-35x28-37x28 ? 2826 05b5cc6cae4d2b4197774dffc
5b5cc6cae4d2b4197774dffc- 1100true
- 21false
- 34false
- 40false
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Answer : 1. "100"
Explanation :
Answer: A) 100 Explanation: Given 373+353+283-3x37x35x28372+352+282-37x35-35x28-37x28 It is in the form of a3+b3+c3-3abca2+b2+c2-ab-bc-ca= a + b + c Here a = 37, b = 35 & c = 28 => a + b + c = 37 + 35 + 28 = 100 Therefore, = 100
Q: Complete the Analogy? Grain : Stock :: Stick : ? 2817 05b5cc699e4d2b4197774c6aa
5b5cc699e4d2b4197774c6aa- 1Bundletrue
- 2Stringfalse
- 3Collectionfalse
- 4Heapfalse
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Answer : 1. "Bundle"
Explanation :
Answer: A) Bundle Explanation: Here the relation between the given words is that the second word is the collection of the first word. As the collection of grains is called Stock, similarly, the collection of sticks is called as Bundle. Hence, Grain : Stock :: Stick : Bundle.
Q: Statement: There has been a significant drop in the water level of all the lakes supplying water to the city.Courses of action:I. The water supply authority should impose a partial cut in supply to tackle the situation.II. The government should appeal to all the residents though mass media for minimal use of water. 2811 05b5cc736e4d2b4197774f85b
5b5cc736e4d2b4197774f85b- 1Only I followsfalse
- 2Only II followsfalse
- 3Both I & II followstrue
- 4Neither I nor II followsfalse
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Answer : 3. "Both I & II follows"
Explanation :
Answer: C) Both I & II follows Explanation: The situation can be tackled by periodic cuts in supply, and urging people to conserve water. So both the courses follow.
Q: The percentage discount offered for "Buy 6 get 1 free is" ? 2811 05b5cc72ce4d2b4197774f788
5b5cc72ce4d2b4197774f788- 185.78 %false
- 258. 48 %false
- 319.25 %false
- 414.285 %true
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Answer : 4. "14.285 %"
Explanation :
Answer: D) 14.285 % Explanation: Total Items = 7Discounted = 1Percentage = 1/7 x 100= 14.285%
Q: Running 3/4th of his usual rate, a man is 15min late. Find his usual time in hours ? 2811 05b5cc6d8e4d2b4197774e782
5b5cc6d8e4d2b4197774e782- 12/3 hrsfalse
- 23/4 hrstrue
- 31/3 hrsfalse
- 41/4 hrsfalse
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Answer : 2. "3/4 hrs"
Explanation :
Answer: B) 3/4 hrs Explanation: Walking at 3/4th of usual rate implies that time taken would be 4/3th of the usual time. In other words, the time taken is 1/3rd more than his usual time so 1/3rd of the usual time = 15minor usual time = 3 x 15 = 45min = 45/60 hrs = 3/4 hrs.
Q: Square is to Triangle and Cube is to 2811 05b5cc6b7e4d2b4197774d606
5b5cc6b7e4d2b4197774d606- 1Pyramidtrue
- 2Rectanglefalse
- 3Icefalse
- 4Rhombusfalse
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Answer : 1. "Pyramid"
Explanation :
Answer: A) Pyramid Explanation: Square is 2-dimensional 4 sided figure Whereas Cube is 3-dimensional figure which looks like Square. Similarly, Triangle is 2-dimensional 3 sided figure Whereas Pyramid is 3-dimensional figure which looks like Triangle.