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

A card is drawn from a pack of 52 cards. What is the probability that, card is either red or black?

A girl is preparing for National Level Entrance exam and State Level Entrance exam for professional courses. The chances of her cracking National Level exam is 0.42 and that of State Level exam is 0.54. The probability that she clears both the exams is 0.11. Find the probability that

1. She cracks at least one of the two exams
2. She cracks only one of the two
3. She cracks none.

A bag contains 75 tickets numbered from 1 to 75. One ticket is drawn at random. Find the probability that, number on the ticket is a perfect square or divisible by 4

The probability that a student will pass in French is 0.64, will pass in Sociology is 0.45, and will pass in both is 0.40. What is the probability that the student will pass in at least one of the two subjects?

Verify whether the following sequence is H.P.

`1/3, 1/5, 1/7, 1/9, ...`

Verify whether the following sequence is H.P.

`1/3, 1/6, 1/12, 1/24, ...`

Verify whether the following sequence is H.P.

`5, 10/17, 10/32, 10/47, ...`

Find the n^th term and hence find the 8^th term of the following H.P.s :

`1/2, 1/5, 1/8, 1/11, ...`

Find the n^th term and hence find the 8^th term of the following H.P.s :

`1/4, 1/6, 1/8, 1/10, ...`

Find the n^th term and hence find the 8^th term of the following H.P.s:

`1/5, 1/10, 1/15, 1/20, ...`

Find A.M. of two positive numbers whose G.M. and H.M. are 4 and `16/5` respectively.

Find H.M. of two positive numbers A.M. and G.M. are `15/2` and 6

Insert two numbers between `1/4` and `1/3` so that the resulting sequence is a H.P.

Find two numbers whose A.M. exceeds their G.M. by `1/2` and their H.M. by `25/26`

The tenth term of H.P. `2/9, 1/7, 2/19, 1/12, ...` is:

Select the correct answer from the given alternative.

The G.M.of two numbers exceeds their H.M. by `6/5`, the A.M. exceeds G.M. by `3/2` the two numbers are ...

Find the middle term in the expansion of `(x/y + y/x)^12`

Find the middle terms in the expansion of `(x^2 + 1/x)^7`

Find the middle term in the expansion of `(x^2 - 2/x)^8`

Find the middle term in the expansion of `(x/"a" - "a"/x)^10`