Directions: Enter your answer as an integer or a decimal if there is a single answer box OR as a fraction if there are two separate boxes — one for the numerator and one for the denominator.
1. How many three digit even numbers exist with distinct digits?
2. Find the probability of the occurrence of exactly one of A and B when P(AUB) = 0.59 and the probability of the occurrence of both A and B is 0.01.[AUB = A union B]
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3. Find the value of (3/y-1/x) if 3(2x+y)=7xy and 3(x+3y)=11xy.
4. The simple interest on a sum of money is 1/6 of the principal. The number of months is equal to twice the rate percent. Find the time in months of the investment.
5. The product of the positive numbers is 300 and the sum of their squares is 25 more than two times their product. Find the sum of the two numbers.
6. The product of the digits of the number is 15 and the sum of the digits is 8. The digits interchange their places when 18 is added to the number.
7. The price of wheat has fallen by 10%. How many quintals can be purchased for the same price for which 27 quintals could be bought before?
8. The average age of the 5 members of a family is 25 years. The age of the youngest member is 5 years. What was the average age of the members of the family just before the youngest member was born?
years
9. The odds in favour of an event are 4:5. In how many chances out of 36 shall the event occur?
10. If two pipes work simultaneously, the reservoir fills in 12 hours. One pipe fills the reservoir 10 hours faster than the other does. How many hours does the faster pipe take to fill the reserviour alone?