HSC Commerce: Marketing and Salesmanship इयत्ता ११ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Reshma put an amount at simple interest at a certain rate for 3 years. Had she been put at a 2% higher rate, she would have received Rs 360 more. Find the sum.

The compound interest on Rs. 30000 at 7% p.a. is Rs. 4347. What is the period in years?

Following data gives the coded price (X) and demand (Y) of a commodity.

Classify the data by taking classes 0 – 4, 5 – 9, etc. for X and 5 – 8, 9 – 12, etc. for Y. Also find marginal frequency distribution of X and Y.

Following data gives the age in years and marks obtained by 30 students in an intelligence test.

Prepare a bivariate frequency distribution by taking class intervals 16 – 18, 18 – 20, … etc. for age and 10 – 20, 20 – 30, ... etc. for marks. Find marginal frequency distributions.

Following data gives Sales (in Lakh Rs.) and Advertisement Expenditure (in Thousand Rs.) of 20 firms.
(115, 61) (120, 60) (128, 61) (121, 63) (137, 62) (139, 62) (143, 63) (117, 65) (126, 64) (141, 65) (140, 65) (153, 64) (129, 67) (130, 66) (150, 67) (148, 66) (130, 69) (138, 68) (155, 69) (172, 68)
Find marginal frequency distributions

Prepare a bivariate frequency distribution for the following data, taking class intervals for X as 35 – 45, 45 – 55, …. etc and for Y as 115 – 130, 130 – 145, … etc. where X denotes the age in years and Y denotes blood pressure for a group of 24 persons.
(55, 151) (36, 140) (72, 160) (38, 124) (65, 148) (46, 130) (58, 152) (50, 149) (38, 115) (42, 145) (41, 163) (47, 161) (69, 159) (60, 161) (58, 131) (57, 136) (43, 141) (52, 164) (59, 161) (44, 128) (35, 118) (62, 142) (67, 157) (70, 162)
Also, find Marginal frequency distribution of X.

Thirty pairs of values of two variables X and Y are given below. Form a bivariate frequency table. Also, find marginal frequency distributions of X and Y.

Find the derivative of the following function w.r.t. x:

x¹²

Which term of the G. P. 5, 25, 125, 625, … is 5¹⁰?

Find three numbers in G. P. such that their sum is 21 and sum of their squares is 189.

Find four numbers in G. P. such that sum of the middle two numbers is `10/3` and their product is 1.

The fifth term of a G. P. is x, eighth term of the G. P. is y and eleventh term of the G. P. is z. Verify whether y² = xz.

For a sequence, if S_n = 2 (3ⁿ – 1), find the n^th term, hence show that the sequence is a G.P.

In a G.P., the fourth term is 48 and the eighth term is 768. Find the tenth term.

Find 2 + 22 + 222 + 2222 + … upto n terms.

Find the n^th term of the sequence 0.6, 0.66, 0.666, 0.6666, …

Find the slope of the following lines which pass through the point: (2, – 1), (4, 3)

Find the slope of the following lines which pass through the point: (– 2, 3), (5, 7)

Find the slope of the following lines which pass through the point: (2, 3), (2, – 1)

Find the slope of the following lines which pass through the point: (7, 1), (– 3, 1)