GATE Practice Question and Answer
8Q: Priya can do a work in 16 days. In how many days will the work be completed by Sai, if the efficiency of Sai is 60% more than that of Priya ? 1432 05b5cc6c7e4d2b4197774deaf
5b5cc6c7e4d2b4197774deaf- 18 daysfalse
- 212 daysfalse
- 314 daysfalse
- 410 daystrue
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Answer : 4. "10 days"
Explanation :
Answer: D) 10 days Explanation: Ratio of efficiencies of Priya and Sai is Sai : Priya = 160 : 100 = 8 : 5 Given Priya completes the work in 16 days Let number of days Sai completes the work be 'd' => 5×16 = 8×d d = 10 days. Therefore, number of days Sai completes the work is 10 days.
Q: Uma sold an article for 3400 and got a profit of 25%. If he had sold the article for Rs. 3265. How much profit% would Uma have got ? 1184 05b5cc6c7e4d2b4197774deb4
5b5cc6c7e4d2b4197774deb4- 122%false
- 227%false
- 320%true
- 418%false
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Answer : 3. "20%"
Explanation :
Answer: C) 20% Explanation: Given 125% ---- 3400 => 100% ---- ? => ? = 3400x100/125 = 2720 => Cost price of the article = Rs. 2720 Profit when article sold at Rs. 3265 = 3265 - 2720 = 545 Hence, Profit% = Gain x 100/cost price => P% = 545 x 100/2720 => P% = 20%
Q: Rajeev's age is four more than the age of Shilpa. The age of Shilpa can be obtained by subtracting four times her age 4 years ago from the four times her age after 4 years. What was Rajeev's age before 4 years ? 1396 05b5cc6c7e4d2b4197774dea5
5b5cc6c7e4d2b4197774dea5- 136 yearsfalse
- 228 yearsfalse
- 332 yearstrue
- 440 yearsfalse
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Answer : 3. "32 years"
Explanation :
Answer: C) 32 years Explanation: Let Shilpa's present age is p years According to question, p = 4(x+4) – 4(x–4) p = 4x+16 – 4x+16 p = 32 Shilpa's present age = 32 years Rajeev is four years older than Shilpa => Shilpa's present age = Rajeev's age 4 years before. => Rajeev's age 4 years before = 32 years.
Q: If the average height of boys in a hall is 180 cm and that of girls is 150 cm. If the average height of the gathering is 165 cm, then find the number of girls present in the hall if the number of boys present in the hall are 78 ? 1642 05b5cc6c7e4d2b4197774dea0
5b5cc6c7e4d2b4197774dea0- 156false
- 264false
- 387false
- 478true
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Answer : 4. "78"
Explanation :
Answer: D) 78 Explanation: Using Trial and error method, we get the number of girls in the hall = 78
Q: A man purchases two articles, on selling one at loss of 20% while the other at a profit of 25%, he gains the overall profit of 5% than find the ratio of their selling price ? 1318 05b5cc6c7e4d2b4197774de9b
5b5cc6c7e4d2b4197774de9b- 18 : 62.5true
- 255 : 8false
- 38 : 65false
- 464.4 : 9false
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Answer : 1. "8 : 62.5"
Explanation :
Answer: A) 8 : 62.5 Explanation: Article I Article II -20 25% 5% 20% 25% 4 : 5 Now, Selling of first article = (4-20%) = 0.8 Selling of second article = (5+25%) = 6.25 Therefore the ratio of selling price = 8 : 62.5
Q: What should come in place of question mark (?) in the following number series? 132 156 ? 210 240 272 2816 05b5cc6c7e4d2b4197774de8c
5b5cc6c7e4d2b4197774de8c- 1196false
- 2182true
- 3199false
- 4204false
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Answer : 2. "182"
Explanation :
Answer: B) 182 Explanation: The given series follows a logic that 11 x 12, 12 x 13, 13 x 14, 14 x 15, 15 x 16,... So the missing number is 13 x 14 = 182
Q: If two is subtracted from each odd digit and three is added to each even digit in the number 94257636, how many digits will appear twice in the new number thus formed ? 2396 05b5cc6c7e4d2b4197774de87
5b5cc6c7e4d2b4197774de87- 10false
- 21false
- 32false
- 43true
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Answer : 4. "3"
Explanation :
Answer: D) 3 Explanation: Here 5, 7 & 9 are repeating after modulation.
Q: If the labour cost 20% of the cost of production and raw material cost 10% of the cost of production and the price on which article is sold is 20% above the cost of production. If the price of labour is increased by 40% and the price of raw material increased by 20% and rest other expenditure of cost remain constant. The industry thus decide to increase the selling price by 10%. Find the new profit percent ? 1891 05b5cc6c7e4d2b4197774de78
5b5cc6c7e4d2b4197774de78- 118%false
- 220%true
- 322%false
- 424%false
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Answer : 2. "20%"
Explanation :
Answer: B) 20% Explanation: Let the Cost of Production of the article = 100 Then, Labour Cost = 20 Raw Material = 10 Other Expenditure = 100 - 10 – 20 = 70 Selling Price of the article = 120 After increasing Labour and Raw material cost by 40% & 20% respectively, New Labour cost = 28 New Raw material cost = 12 New Cost of Production = 70 + 28 + 12 = 110 Then, New SP = 110% of 120 = 120 x 110/100 = 132 => New Gain = 132 - 110 = 22 => New Profit % = 22 x 100/110 = 20%