SSLC (English Medium) कक्षा १० - Tamil Nadu Board of Secondary Education Question Bank Solutions

Find the indicated terms of the sequences whose n^th terms are given by

a_n = – (n² – 4); a₄ and a₁₁

Find a₈ and a₁₅ whose n^th term is a_n = `{{:(("n"^2 - 1)/("n" + 3)";", "n is even"","  "n ∈ N"),(("n"^2)/(2"n" + 1)";", "n is odd"","  "n ∈ N"):}`

If a₁ = 1, a₂ = 1 and a_n = 2a_n−1 + a_n−2, n ≥ 3, n ∈ N, then find the first six terms of the sequence

Given F₁ = 1, F₂ = 3 and F_n = F_n–1 + F_n–2 then F₅ is

The next term of the sequence `3/16, 1/8, 1/12, 1/18, ...` is

A and B are two events such that, P(A) = 0.42, P(B) = 0.48, and P(A ∩ B) = 0.16. Find P(not A)

A and B are two events such that, P(A) = 0.42, P(B) = 0.48, and P(A ∩ B) = 0.16. Find P(not B)

A and B are two events such that, P(A) = 0.42, P(B) = 0.48, and P(A ∩ B) = 0.16. Find P(A or B)

Two dice are rolled once. Find the probability of getting an even number on the first die or a total of face sum 8.

From a well-shuffled pack of 52 cards, a card is drawn at random. Find the probability of its being either a red king or a black queen

A box contains cards numbered 3, 5, 7, 9, … 35, 37. A card is drawn at random from the box. Find the probability that the drawn card have either multiples of 7 or a prime number.

In a town of 8000 people, 1300 are over 50 years and 3000 are females. It is known that 30% of the females are over 50 years. What is the probability that a chosen individual from the town is either a female or over 50 years?

A coin is tossed thrice. Find the probability of getting exactly two heads or atleast one tail or two consecutive heads

If A, B, C are any three events such that probability of B is twice as that of probability of A and probability of C is thrice as that of probability of A and if P(A ∩ B) = `1/6`, P(B ∩ C) = `1/4`, P(A ∩ C) = `1/8`, P(A ∪ B ∪ C) = `9/10` and P(A ∩ B ∩ C) = `1/15`, then find P(A), P(B) and P(C)

In a class of 35, students are numbered from 1 to 35. The ratio of boys to girls is 4 : 3. The roll numbers of students begin with boys and end with girls. Find the probability that a student selected is either a boy with prime roll number or a girl with composite roll number or an even roll number.

If two dice are rolled, then find the probability of getting the product of face value 6 or the difference of face values 5

In a two children family, find the probability that there is at least one girl in a family

The King, Queen and Jack of the suit spade are removed from a deck of 52 cards. One card is selected from the remaining cards. Find the probability of getting a diamond

The King, Queen and Jack of the suit spade are removed from a deck of 52 cards. One card is selected from the remaining cards. Find the probability of getting a queen

The King, Queen and Jack of the suit spade are removed from a deck of 52 cards. One card is selected from the remaining cards. Find the probability of getting a spade