Directions (1-5): The following pie-chart show the number of t-shirts (in percentage) sold by two companies Roadstar and Nike during the year 2015-16 in six different countries. Study the graph carefully and answer the related questions.
Q1. Total number of Roadstar t-shirts sold in India are approximately what percent more or less than the total number of Nike t-shirts sold in China?
Q2. What is the difference between t-shirts sold in China, USA and Hongkong together by Roadstar and Nike?
= 176.4 - 127.2
= 49.2 lacs
Q3. Total number of Nike t-shirts sold in Japan and Germany together is what percent of Roadstar t-shirts sold in the same countries together?
Q4. If ratio of selling price per item of Roadstar t-shirts and Nike t-shirts in India is 5: 3 and total profit earned by Roadstar from India was then find the ratio of cost price of Roadstar and Nike in India.
Since, here we know only profit of Roadstar t-shirts and we have no information about profit of Nike t-shirts.
So, answer can’t be found.
Q5. What is the average number of Nike t-shirts sold in countries China, USA, Hongkong and Japan together.
Q6. 100 students appeared for two examinations. 60 passed the first, 50 passed the second and 30 passed both. Find the probability that a student selected at random has failed in both the examinations?
Q7. Two pipes A and B can fill up a half full tank in 1.2 hours. The tank was initially empty. Pipe B was kept open for half the time required by pipe A to fill the tank by itself. Then, pipe A was kept open for as much time as was required by pipe B to fill up 1/3 of the tank by itself. It was then found that the tank was 5/6 full. The least time in which any of the pipes can fill the tank fully is
Q8. A and B started a business after investing Rs. 12,000 and Rs. 14,400 respectively. At the end of the year B gets 12% of the total profit as management fees and the rest amount is distributed between both the partners in the ratio of their investments. If total annual profit is Rs. 7,500, then find the difference between their profits.
Q9. What will be the compound interest on Rs. 43200 at the rate of per annum in 2 years and 6 months, compounded annually?
Q10. 16 men and 12 women can complete a work in 20 days. 18 women can complete the same work in 40 days. In how many days will 12 men 27 women complete the same work?
Directions (11-15): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer
Q11. I. 3x² – 28x + 64 =0
II. 5y² – 56y + 156 = 0
Q12. I. 7x² + 87x + 270 = 0
II. 4y² + 39y + 90 = 0
Q13. I. 2x² + 9√3 x+30=0
II. 3y² + 2√2 y-16=0
Q14. I. 8x + 5y = 76
II. 15x + 7y = 133
II. 15x + 7y = 133
On solving (i) & (ii) we get
x = 7, y = 4
⇒ x > y
Q15. I. 6x² – 53x + 116 = 0
II. 9y² – 61y + 100 = 0
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