HSC Science (General) 11th Standard - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Answer the following question:

Find x, y if, `{-1 [(1, 2, 1),(2, 0, 3)] + 3[(2, -3, 7),(1, -1, 3)]} [(5),(0),(-1)] = [(x),(y)]`

Answer the following question:

Find x, y, z if `{5[(0, 1),(1, 0),(1, 1)] -3[(2, 1),(3, -2),(1, 3)]} [(2),(1)] = [(x - 1),(y + 1),(2z)]`

Answer the following question:

Find x, y, z if `{[(1, 3, 2),(2, 0, 1),(3, 1, 2)] + 2[(3, 0, 2),(1, 4, 5),(2, 1, 0)]} [(1),(2),(3)] = [(x),(y),(z)]`

Answer the following question:

Two farmers Shantaram and Kantaram cultivate three crops rice,wheat and groundnut. The sale (In Rupees) of these crops by both the farmers for the month of April and may 2008 is given below,

Find The total sale in rupees for two months of each farmer for each crop

Answer the following question:

Two farmers Shantaram and Kantaram cultivate three crops rice,wheat and groundnut. The sale (In Rupees) of these crops by both the farmers for the month of April and may 2008 is given below,

Find the increase in sales from April to May for every crop of each farmer.

Find n if ²ⁿC₃ : ⁿC₂ = 52 : 3

Find n if ⁿC_n–3 = 84

Find r if ¹⁴C_2r : ¹⁰C_2r–4 = 143 : 10

Find n and r if ⁿP_r = 720 and ⁿC_n–r = 120

Find n and r if ⁿC_r–1 : ⁿC_r : ⁿC_r+1 = 20 : 35 : 42

If ⁿP_r = 1814400 and ⁿC_r = 45, find ⁿ⁺⁴C_r+3 

If ⁿC_r–1 = 6435, ⁿC_r = 5005, ⁿC_r+1 = 3003, find ^rC₅

Find the number of ways of drawing 9 balls from a bag that has 6 red balls, 8 green balls, and 7 blue balls so that 3 balls of every colour are drawn

Find the number of ways of selecting a team of 3 boys and 2 girls from 6 boys and 4 girls

After a meeting, every participant shakes hands with every other participants. If the number of handshakes is 66, find the number of participants in the meeting.

If 20 points are marked on a circle, how many chords can be drawn?

Find the number of diagonals of an n-sided polygon. In particular, find the number of diagonals when n = 10

Find the number of diagonals of an n-sided polygon. In particular, find the number of diagonals when n = 15

Find the number of diagonals of an n-sided polygon. In particular, find the number of diagonals when n = 12

Find the number of diagonals of an n-sided polygon. In particular, find the number of diagonals when n = 8