1. If the number of boys passed from College X and College Y is 220 and 175 respectively in the year 2007, then what is the difference between number of girls passed from X and Y in year 2007?
2. If the number of girls passed from College X and College Y in year 2006 is equal to 70, then what is the sum of total number of passed students of College X and College Y in the same year?
3. If the number of girls passed from College X in year 2009 is equal to the number of boys passed from College Y in year 2007 and it is 105, then what is the difference between total number of students passed from college X in 2009 and College Y in year 2007?
4. If total number of students passed from College X and College Y in year 2010 is 400 and 500 respectively, then number of girls passed from College Y is how much percent more than the number of girls passed from College X in the same year?
(a) 12(1/2) %
(b) 17(1/2) %
(c) 2(3/11) %
(d) 1(1/7) %
(e) 13(1/7) %
5. If the number of girls passed from College X and College Y in year 2008 is 200 and 240 respectively, then number of boys passed from College Y is what percent of number of boys passed from College X in same year ?
(c) 120%
6. In a hall there are 8 men and 5 women. In how many ways they can sit in a row so that no two women sit together?
(a) (9! x 8!) / 5!
(b) (9! x 8!) / 4!
(c) (9! / 5!)
(d) (8! / 5!)
(e) (8! / 4!)
7. 25% of the employees of department P and 16% of the employees of department Q took part in a function. Participants from department P were 500 in number but 252 employees of department Q did not take part in the function. Find the total no. of employees in P and Q.
(e) None of these
8. What is the probability that a number selected from the numbers 1, 2, 3, 4 … 23, 24, 25 is a prime number, when each of the given number is equally likely to be selected?
(b) 7/25
(d) 9/25
(e) None of these
9. The surface area of a spherical part of a vessel with a flat circular detachable cover, excluding the cover, is 616 sq cm. The area of the cover is 38.5 sq cm. What is the volume of the vessel?
(a) 1339 cubic cm
(b) 1430 cubic cm
(c) 1570 cubic cm
(d) Cannot be determined
(e) None of these
10. Rajeev went to a market and bought things worth Rs 24, out of which 28 paise went on sale tax on taxable purchases. If the tax rate was 4%, then what is the cost of tax free item?
(a) Rs 17.28
(b) Rs 15.72
(c) Rs 16.72
(e) Rs 14.72
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