HSC Commerce (English Medium) 11th Standard - Maharashtra State Board Question Bank Solutions

Find \[\displaystyle\sum_{r=1}^{n}\frac{1 + 2 + 3 + ...+ r}{r}\]

Find n, if `(1xx2+2xx3+3xx4+4xx5 + ... + "upto n terms")/(1 + 2 + 3 + 4 + ... + "upto n terms") = 100/3`

Find n, if `(1 xx 2 + 2 xx 3 + 3 xx 4 + 4 xx 5 + ... + "upto n terms")/(1 + 2 +3 + 4 + ...+ "upto n terms") = 100/3`.

Find n, if `(1xx2+2xx3+3xx4+4xx5+...+"upto n terms")/(1+2+3+4+...+"upto n terms")=100/3`

Express the recurring decimal as a rational number.

3.4`bar56`

Find `sum_(r=1)^n (1+2+3+......+r)/r`

Find `sum _(r=1)^(n)  (1 + 2 + 3 + ... + r)/r`

Find `\underset{r=1}{\overset{n}{sum}} (1 + 2 + 3 +... + r)/(r)`

Find n, if `(1xx2+2xx3+3xx4+4xx5+...+"upto n terms")/(1+2+3+4+...+"upto n terms")=100/3 . `

Find n, if `(1 xx 2 + 2 xx3+3xx4+4xx5+... +"upto n terms")/(1+2+3+4+...+ "upto n terms") = 100/3`.

Find n, if `(1 xx 2 + 2 xx 3 + 3 xx 4 + 4 xx 5 + ... + "upto n terms")/ (1 + 2 + 3 + 4 + ...  + "upto n terms") = 100/3`  

Find `sum_(r = 1)^n (1 + 2 + 3 + .... + r)/r.`

In how many different ways can 8 friends sit around a table?

A party has 20 participants and a host. Find the number of distinct ways for the host to sit with them around a circular table. How many of these ways have two specified persons on either side of the host?

Find the number of ways for 15 people to sit around the table so that no two arrangements have the same neighbours.

A committee of 20 members sits around a table. Find the number of arrangements that have the president and the vice president together.

Find the number of sitting arrangements for 3 men and 3 women to sit around a table so that exactly two women are together.

Four objects in a set of ten objects are alike. Find the number of ways of arranging them in a circular order.

Find n if `""^6"P"_2 = "n" ""^6"C"_2`

Find n if `""^(2"n")"C"_3: ""^"n""C"_2` = 52:3