Maths in English Quiz 3

1. An article is listed at Rs 1925. A man purchases it at two successive discounts of 40% and 60% and spends Rs 185 on repairing of article. If he sells the article at a profit of 58.5%, then what is the selling price (in Rs) of the article?

2. The value of 8(sin⁶ θ + cos⁶ θ) – 12(sin⁴ θ + cos⁴ θ) is equal to

3. A missile travels at 1350 km/h. How many metres does it travel in one second?

4. A man invests a part of Rs. 10000 at 5% and the remainder at 6%. The 5% investment yields annually Rs. 76.50 more than the 6% investment. The amount invested at 6% is

5. If 12,000 is divided into two parts such that the simple interest on the first part for 3 years at 12% per annum is equal to the simple interest on the second part for 4 ½ years at 16% per annum, the greater part is

6. A train crosses a telegraph pole in 6 seconds and a 220 m long bridge in 16 seconds. The speed to the train (in m/s) will be –

7. 72% of the students of a certain class took Biology and 44% took Mathematics. If each student took at least one subject from Biology or Mathematics and 40 took both then the total number of students in the class is?

8. A man, a woman and a boy can together complete a piece of work in 3 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman alone take to complete the work?

9. The difference between a discount of 35% on Rs. 1700 and two successive discounts of 26% and 4% on the same amount is :-

10. In a class, the average score of girls in an examination is 73 and that of boys is 71. The average score for the whole class is 71.8. Find the percentage of girls.