GATE Practice Question and Answer
8Q: A Shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net Profit or loss that he makes? 6626 05b5cc7bbe4d2b419777509d7
5b5cc7bbe4d2b419777509d7- 14%true
- 25%false
- 36%false
- 48%false
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Answer : 1. "4%"
Explanation :
Answer: A) 4% Explanation: SP of first article = Rs.1000 Profit = 20% CP = SP x 100100+P% = Rs. 25003 SP of Second Article = Rs.1000 Loss = 20% CP = SP x 100100-L% = Rs. 1250 So, Total SP = Rs.2000; Total CP = Rs.6250/3 As the CP is more than SP, he makes a loss. Loss = CP - SP = (6250/3) - 2000 = Rs.(250/3) So, Loss Percent = Lossx100/CP = 4%
Q: A number of cats got together and decided to kill between them 999919 rats. Every cat killed an equal number of rats. Each cat killed more rats than there were cats. How many rats do you think that each cat killed ? 6624 05b5cc731e4d2b4197774f7d8
5b5cc731e4d2b4197774f7d8- 11009true
- 2991false
- 32000false
- 41000false
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Answer : 1. "1009"
Explanation :
Answer: A) 1009 Explanation: Given total number of rats = 999919 999919 = 1000000 - 81 = 10002 - 92 = (1000+9)(1000-9) = 1009 x 991.Since there were more rats than there were cats, 991 cats killed 1009 rats each.
Q: A sweet seller sells 3/5th part of sweets at a profit of 10% and remaining at a loss of 5%. If the total profit is Rs 1500, then what is the total cost price of sweets ? 6612 05b5cc75ee4d2b4197774fc93
5b5cc75ee4d2b4197774fc93- 1Rs.37,500true
- 2Rs.36,400false
- 3Rs.37,415false
- 4Rs.36,500false
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Answer : 1. "Rs.37,500"
Explanation :
Answer: A) Rs.37,500 Explanation: Assume A be the cost price. Therefore,35×A×10100 - 25×A×5100 = 1500 => A = Rs 37,500.
Q: It takes five minutes to pass a rumour from one person to two other persons. The tree of rumour continues. Find how many minutes does it take spread the rumour to 729 persons ? 6604 05b5cc715e4d2b4197774f44a
5b5cc715e4d2b4197774f44a- 145 minfalse
- 225 minfalse
- 330 mintrue
- 436 minfalse
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Answer : 3. "30 min"
Explanation :
Answer: C) 30 min Explanation: After 5 mins ..... 3 persons will get rumourAfter 10 mins .... 3x2 + 3 = 9 = 32 persons will get after 15 =5x3 min ......9x2 + 9 =27 = 33 persons will get news...after 5x6 mins ... 36 = 729 persons will get news. Therefore, time taken to spread the rumour to 729 persons is 30 minutes.
Q: 10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work? 6547 05b5cc68be4d2b4197774c385
5b5cc68be4d2b4197774c385- 1215 daysfalse
- 2225 daystrue
- 3235 daysfalse
- 4240 daysfalse
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Answer : 2. "225 days"
Explanation :
Answer: B) 225 days Explanation: Given that (10M + 15W) x 6 days = 1M x 100 days => 60M + 90W = 100M => 40M = 90W => 4M = 9W. From the given data, 1M can do the work in 100 days => 4M can do the same work in 100/4= 25 days. => 9W can do the same work in 25 days. => 1W can do the same work in 25 x 9 = 225 days. Hence, 1 woman can do the same work in 225 days.
Q: A web page is located using a 6533 05b5cc639e4d2b4197774baa5
5b5cc639e4d2b4197774baa5- 1Universal Record Locatorfalse
- 2Universal Resource Locatortrue
- 3Uniform Record Linkingfalse
- 4Universal Record Linkingfalse
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Answer : 2. "Universal Resource Locator"
Explanation :
Answer: B) Universal Resource Locator Explanation: A web page is located using a URL (Universal Resource Locator). Universal Resource Locator is also known as web address. It basically refers to a web resource which is meant for the specification of its location on the network of computer. It is also a mechanism through which information can be retrieved.
Q: A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year ? 6479 05b5cc6e5e4d2b4197774ed38
5b5cc6e5e4d2b4197774ed38- 121:29false
- 241:54false
- 332:45true
- 437:51false
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Answer : 3. "32:45"
Explanation :
Answer: C) 32:45 Explanation: A : B(8000x4)+(4000x8) : (9000x6)+(6000x6) 64000 : 90000=> 32 : 45
Q: 3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ? 6462 05b5cc6e5e4d2b4197774ecfc
5b5cc6e5e4d2b4197774ecfc- 16false
- 29false
- 35false
- 47true
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Answer : 4. "7"
Explanation :
Answer: D) 7 Explanation: Let 1 woman's 1 day work = x. Then, 1 man's 1 day work = x/2 and 1 child's 1 day work x/4. So, (3x/2 + 4x + + 6x/4) = 1/7 28x/4 = 1/7 => x = 1/49 1 woman alone can complete the work in 49 days. So, to complete the work in 7 days, number of women required = 49/7 = 7.