GATE Practice Question and Answer
8Q: If 2 men and 3 women can do a piece of work in 8 days and 3 men and 2 women in 7 days. In how many days can the work be done by 5 men and 4 women working together? 1549 05b5cc6bde4d2b4197774d924
5b5cc6bde4d2b4197774d924- 13 daysfalse
- 26 daysfalse
- 34 daystrue
- 42 daysfalse
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Answer : 3. "4 days"
Explanation :
Answer: C) 4 days Explanation: From the given data, => (2 M + 3W) 8 = (3M + 2W)7 => 16M + 24W = 21M + 14 W => 10W = 5M => 2W = M => 14W × ? = 7W × 8 ? = 4 days
Q: A merchant commences with a certain capital and gains annually at the rate of 30 per cent. At the end of 2 years he has worth Rs 10,000. What was the original capital? 1549 05b5cc6abe4d2b4197774cfb2
5b5cc6abe4d2b4197774cfb2- 1Rs. 4987false
- 2Rs. 5148false
- 3Rs. 5917true
- 4Rs. 6254false
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Answer : 3. "Rs. 5917"
Explanation :
Answer: C) Rs. 5917 Explanation: Let the Original capital amount be Rs. P Given after 2 years the amount is Rs. 10000 Rate of interest = 30% According to the question, P x 130100 x 130100 = 10000=> P = 1000000169 = 5917 Therefore, the capital amount P = Rs. 5917
Q: When all the students in a school are made to stand in rows of 54, 30 such rows are formed. If the students are made to stand in rows of 45, how many such rows will be formed ? 1549 05b5cc736e4d2b4197774f88d
5b5cc736e4d2b4197774f88d- 122false
- 236true
- 332false
- 426false
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Answer : 2. "36"
Explanation :
Answer: B) 36 Explanation: Total number of students = 54 x 30When arranged in rows of 45, number of rows formed are, 54x3045 = 36.
Q: Every year before the festive season, a brand store increases the price of the product by 42% and then introduce two successive discount of 10% and 11% respectively. What is percentage loss and percentage gain ? 1548 05b5cc745e4d2b4197774f9f9
5b5cc745e4d2b4197774f9f9- 13.25% lossfalse
- 213.742% lossfalse
- 33.25% gainfalse
- 413.742% gaintrue
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Answer : 4. "13.742% gain"
Explanation :
Answer: D) 13.742% gain Explanation: Let CP = 100,42 % increase => SP = 14210 % discount in SP => ((142 x 10)/100) = 14.2So 1st SP = (142 - 14.2) = 127.8, again 12 % discount in 1st SP ((127.8 x 11)/100) = 14.0582nd SP = (127.8 - 14.058) = 113.742, So finally CP = 100, SP = 113.742, => gain = 13.742%.
Q: The More You Have, The Less You See. What is it? 1548 05b5cc6b0e4d2b4197774d2a2
5b5cc6b0e4d2b4197774d2a2- 1Lightfalse
- 2Darknesstrue
- 3Sightfalse
- 4Nonefalse
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Answer : 2. "Darkness"
Explanation :
Answer: B) Darkness Explanation: The More You Have the Darkness, The Less You See i.e, visible less.
Q: In what ratio must a merchant mix two varieties of oils worth Rs. 60/kg and Rs. 65/kg, so that by selling the mixture at Rs. 68.20/kg, he may gain 10% ? 1547 05b5cc6c6e4d2b4197774de5e
5b5cc6c6e4d2b4197774de5e- 12:3false
- 24:3false
- 33:4false
- 43:2true
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Answer : 4. "3:2"
Explanation :
Answer: D) 3:2 Explanation: Let he mixes the oils in the ratio = x : y Then, the cost price of the oils = 60x + 65y Given selling price = Rs. 68.20 => Selling price = 68.20(x+y) Given profit = 10% = SP - CP => 10/100 (60x + 65y) = 68.20(x+y)-(60x + 65y) => 6x + 6.5y = 8.20x + 3.20y =>2.2x = 3.3y => x : y = 3 : 2
Q: The calendar for the year 1988 is same as which upcoming year ? 1547 05b5cc6cfe4d2b4197774e2e3
5b5cc6cfe4d2b4197774e2e3- 12012false
- 22014false
- 32016true
- 42010false
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Answer : 3. "2016"
Explanation :
Answer: C) 2016 Explanation: We already know that the calendar after a leap year repeats again after 28 years. Here year 1988 is a Leap year, then the same calendar will be in the year = 1988 + 28 = 2016.
Q: There are 11 True or False questions. How many ways can these be answered ? 1547 05b5cc6d0e4d2b4197774e385
5b5cc6d0e4d2b4197774e385- 111!/2false
- 21024false
- 311!false
- 42048true
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Answer : 4. "2048"
Explanation :
Answer: D) 2048 Explanation: Given 11 questions of type True or False Then, Each of these questions can be answered in 2 ways (True or false) Therefore, no. of ways of answering 11 questions = 211 = 2048 ways.