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Monday 18 September 2017

Percentage Practice Problems based on Previous Year Mains 2016 Exam

Q1. Three papers were set in an examination and the maximum marks per were in the ratio of 1 : 2 : 2, respectively. If a student obtained 50% in the first paper, 60% in the second, and 65% in the third, what percent did he obtain overall? 
(a) 58.3%
(b) 66.66%
(c) 33.33%
(d) 60%
(e) None of these



Q2. Tom’s salary is 125% of Tina’s salary. Tito’s salary is 80% of Tina’s salary. The total of all the three salaries is Rs. 61,000. What is Tito’s salary? 
(a) Rs. 16,000
(b) Rs. 16,500
(c) Rs. 15,500
(d) Rs. 15,000 
(e) None of these

Q3. A bag contains 600 pens of brand A and 1200 pens of brand B. If 12% of brand A pens and 25% of brand B pens are removed, then what is the approximately percentage of total pens removed from the bag? 
(a) 37%
(b) 36%
(c) 22%
(d) 18%
(e) None of these

Q4. A person spends 40% of his salary on his educational expenses. He spends 60% of it in purchasing books and one-half of the remaining in purchasing stationery items. If he saves Rs. 160 every month, which is one-fourth of the balance after spending over books and stationery items, what is his monthly salary? 
(a) Rs. 8000
(b) Rs. 4800
(c) Rs. 9600
(d) Data inadequate 
(e) None of these


Q5. In an examination it is required to get 296of the total maximum aggregate marks to pass. A student gets 259 marks and is declared failed. The difference of marks obtained by the student and that required to pass is 5%. What are the maximum aggregate marks a student can get?
(a) 690
(b) 780
(c) 740
(d) Cannot be determined 
(e) None of these


Q6. In three vessels, each of 100 L capacity, mixture of milk and water is failed. The ratio of milk and water are 4 : 1, 2 : 3, 4 : 3 in the respective vessels. If all three vessels are emptied into a single large vessel, then what will be the ratio of water to milk in the resultant mixture?
(a) 43 : 62 
(b) 197 : 214 
(c) 219 : 117 
(d) 179 : 234 
(e) None of these

Q7. In a town, 60% of the adult population is male. a% of the adult males and b% adult females are educated. The total number of educated adult male and uneducated adult females is equal in number to the total number of uneducated adult males and educated adult females. If a and b are both integers, which of the following could be the set of values (a, b)? 
(a) (20, 30)
(b) (20, 10)
(c) (30, 15)
(d) (30, 20)
(e) None of these


Q8. Bennett distribution company, a subsidiary of a major cosmetics manufacture Bavlon, is forecasting the zonal sales for the next year. Zone I with current yearly sales to Rs. 193.8 lakhs is expected to achieve a sales growth of 7.25%; Zone II with current sales of Rs. 79.3 lakhs is expected to grow by 8.2% and Zone III with sales of Rs. 57.5 lakhs is expected to increase sales by 7.15%. What is the Bennett’s expected sales growth for the next year?
(a) 7.46%
(b) 7.53%
(c) 7.88%
(d) 7.41%
(e) None of these

Q9. A man sold a wristwatch for Rs. 2,400 at a loss of twenty five percent. At what rate should he have sold the wristwatch to earn a proflt of twenty five per cent?
(a) Rs. 3,600
(b) Rs. 4,000
(c) Rs. 3,500
(d) Rs. 3,800
(e) Rs. 2,500

Q10. Out of the total production of iron hematite, an ore of iron, 20% of the ore gets wasted. Out of the remaining iron, only 25% is pure iron, if the pure iron obtained in a year from a mine of hematite was 8000 kg then the quantity of hematite mined in the year is:
(a) 400000 kg 
(b) 500000 kg 
(c) 450000 kg 
(d) 600000 kg 
(e) None of these

Q11. The total Tractor population in a State is 294000, out of which 150000 are made by Mahindra and Mahindra. Out of every 1000 Mahindra tractors, 98 are red in colour. But only 5.3% of the total tractor population is red. Find percentage of non-Mahindra tractors that are red.
(a) 0.612%
(b) 5.025%
(c) 5.130%
(d) 6.140%
(e) None of these

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