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 ? 2614 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: 5 men and 3 boys can together cultivate a 23 acre field in 4 days and 3 men and 2 boys together can cultivate a 7 acre field in 2 days. How many boys will be needed together with 7 men, if they cultivate 45 acre of field in 6 days. 2609 05b5cc69de4d2b4197774c8ad
5b5cc69de4d2b4197774c8ad- 16false
- 24false
- 32true
- 43false
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Answer : 3. "2"
Explanation :
Answer: C) 2 Explanation: Let work done by 1 man in i day be m and Let work done by 1 boy in 1 day be b From the given data, 4(5m + 3b) = 23 20m + 12b = 23....(1) 2(3m + 2b) = 7 6m + 4b = 7 ....(2) By solving (1) & (2), we get m = 1, b = 1/4 Let the number of required boys = n 6(7 1 + n x 1/4) = 45 => n = 2.
Q: Statements : In a recent survey report, it has been stated that those who undertake physical exercise for at least half an hour a day are less prone to have any heart ailments. Conclusions : a) Moderate level of physical exercise is necessary for leading a healthy life.b) All people who do desk-bound jobs definitely suffer from heart ailments. 2608 05b5cc745e4d2b4197774fa31
5b5cc745e4d2b4197774fa31- 1Only a followstrue
- 2Both a & b followsfalse
- 3Only b followsfalse
- 4Neither a nor b followsfalse
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Answer : 1. "Only a follows"
Explanation :
Answer: A) Only a follows Explanation: The statement mentions that chances of heart ailments are greatly reduced by a regular half-hour exercise. So, a follows. However, it talks of only reducing the probability which does not mean that persons involved in sedentary jobs shall definitely suffer from heart ailments. So, b does not follow. Hence, concusion a only follows the given statement.
Q: Where is RAM located? 2607 05b5cc6b9e4d2b4197774d720
5b5cc6b9e4d2b4197774d720- 1Mother Boardtrue
- 2Expansion Boardfalse
- 3External Drivefalse
- 4Nonefalse
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Answer : 1. "Mother Board"
Explanation :
Answer: A) Mother Board Explanation: RAM is located in The central processing unit (CPU), also called a processor, is located inside the computer case on the motherboard. It is sometimes called the brain of the computer, and its job is to carry out commands.
Q: 5% people of a village in India died by dengue, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning ? 2602 05b5cc6e0e4d2b4197774eb5c
5b5cc6e0e4d2b4197774eb5c- 14400true
- 23100false
- 32800false
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Answer : 1. "4400"
Explanation :
Answer: A) 4400 Explanation: Let 'P' be the original population at the beginning P x (95/100) x (85/100) = 3553 P = 4400.
Q: P alone can complete a piece of work in 6 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together ? 2598 05b5cc6d8e4d2b4197774e737
5b5cc6d8e4d2b4197774e737- 15 (2/3)false
- 26 (3/4 )false
- 34 (1/2)true
- 43false
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Answer : 3. "4 (1/2)"
Explanation :
Answer: C) 4 (1/2) Explanation: Work done by P alone in one day = 1/6th of the total work done by Q alone in one day = 1/3(of that done by P in one day) = 1/3(1/6 of the total) = 1/18 of the total. Work done by P and Q, working together in one day = 1/6 + 1/18 = 4/18 = 2/9 They would take 9/2 days = 4 (1/2) days to complete the work working together.
Q: A computer consists of 2590 05b5cc61ee4d2b4197774b7b0
5b5cc61ee4d2b4197774b7b0- 1motherboardfalse
- 2hard disk drivefalse
- 3central processing unitfalse
- 4All of the abovetrue
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Answer : 4. "All of the above"
Explanation :
Answer: D) All of the above Explanation: A computer system consists of a computer case, a power supply unit, a motherboard, a central processing unit (CPU), main memory, and a hard disk drive. Input devices include a keyboard, mouse, microphone, video camera, and image scanner. Output devices include a monitor, speakers, and a printer.
Q: The calendar for the year 2018 will be the same for the year 2590 05b5cc6ace4d2b4197774d096
5b5cc6ace4d2b4197774d096- 12023false
- 22027false
- 32029true
- 42022false
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Answer : 3. "2029"
Explanation :
Answer: C) 2029 Explanation: How to find the years which have the same Calendars : Leap year calendar repeats every 28 years. Here 28 is distributed as 6 + 11 + 11. Rules: a) If given year is at 1st position after Leap year then next repeated calendar year is Givenyear+6. b) If given year is at 2nd position after Leap year then next repeated calendar year is Givenyear+11. c) If given year is at 3rd position after Leap year then next repeated calendar year is Givenyear+11. Now, the given year is 2018 We know that 2016 is a Leap year. 2016 2017 2018 2019 2020 Lp Y 1st 2nd 3rd Lp Y Here 2018 is at 2 nd position after the Leap year. According to rule b) the calendar of 2018 is repeated for the year is 2018 + 11 = 2029.