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. A light bulb blinks at 12 noon. It then blinks after 4 seconds, then after 8 seconds, then after 12 seconds and so on. How many times shall it have already blinked until it blinks at12.08pm?
2. The weight of a woman reduces by 10% every year. If she weighs 100kg today, then after how many years will her weight be 72.9 kg?
years
3. The LCM of 3/4, 5/6 and 7/8 is ..../2. Fill in the blank with the appropriate number.
4. Sam deposited Rs. 30000 in a bank at 10% per annum and Rs.40000 in another bank at a certain rate of intertest per annum. What was this rate of interest if the rate of interest on the whole amount was (78/7)%?
5. What is the sum of all integers between 83 and 718 which are multiples of 5?
6. A car moves 16 meters in the first minute, 48 meters in the second minute, 80 meters in the third, 112 meters in the fourth and so on. How far in meters from its starting point is it after 11 minutes?
meters
7. The height and radius of the base of a right circular cone are in the ratio 3:4. The ratio of the total surface area to the curved surface area is 9:5. The sum of the total surface area and the curved surface area of the cone is 224*pi sq.cm. Find the radius of the base.
cm
8. The distance between the points (x,-1) and (3,2) is 5. Find the value of x if the point lies in the fourth quadrant.
9. The sum of the squares of two positive numbers is 340. The sum of the numbers is 22. Find the difference between the numbers.
10. A's expenses are 20% less than B's expenses. How much percent more are B's expenses than A's expenses