1. If H.C.F. of p and q is x and q = xy, find the L.C.M of p and q from the following

2. The length of a rectangle is (3x + 2) units and its breadth is (3x - 2) units. Find its area. (x = 20 units)

3. Two dice are rolled together find the probability of getting a doublet or sum of faces as 4

4. Kala and Vani are friends. Kala says, 'Today is my birthday' and she asks Vani, 'When will you celebrate your birthday?' Vani replies, 'Today is Monday and I celebrated my birthday 75 days ago'. Find the day when Vani celebrated her birthday?

5. The greatest 5 digits number, which, when divided by 3, 5, 8 and 12 have 2 as a remainder is

6. 10 farmers will plough the land in 21 days. In how many days 14 farmers will plough the same land?

7. If 18, a, b, -3 are in Arithmetic progress, then what is the value of (a + b)?

8. There is 60 % increase in an amount in 6 years at simple interest. Then the compound interest of ₹12,000 after 3 years at the same rate is

9. The population of a village increases at the rate of 7 % every year. If the present population is 90,000. The population after two years is

10. The 86th Constitutional Amendment Act, 2002 has introduced the fundamental duty under 51 A (K) is