Q1:

A box contains 3 black balls, 2 white balls and 4 green balls. In how many ways can 2 balls be drawn from the box, if at least 1 white ball is to be included in draw?

Q2:

A letter is chosen at random from the word GURUGRAM. Find the probability that the letter is a vowel.

Q3:

On selling an article at $\frac{3}{4}$ of the marked priced, a merchant suffers loss of 10%. Find his profit percent when article is sold at marked price.

Q4:

A card is drawn from a well shuffled pack of cards. Find the probability of it being a jack

Q5:

Amit and Bhuvan made a total profit of ₹ 8250. They decided to share it such that $\frac{1}{\mathrm{5 }}$of Amit’s profit is equal to $\frac{3}{10}$ of Bhuvan’s profit. Find the profit of Bhuvan.

Q6:

In how many ways 4 students of standard 2, 3 students of standard 3 and 5 students of standard 1 can stand in a row such that students of same standard are always together.

Q7:

In every team, a captain can be selected in 11 ways.

In how many ways a team of 11 player can be selected out of 17 players, where a captain is always selected and a stand by player is never selected?

Q8:

Anu went to buy some notebooks for her classmates that costs ₹ 120 each. Bookseller offers her a discount such that after buying 15 notebooks, she has to pay the price of 12 notebooks and 3 are given at the cost of ₹ 60 each. Find the percentage of discount offered.

Q9:

Two cards are drawn simultaneously from a pack of cards. Find the probability that both are black or both are queens.

Q10:

Marked price of a watch is ₹ 2200. John bought it for ₹ 1881 after getting two successive discounts. If the first discount was 10%, what was the second discount?

Q11:

Find the number of ways in which 4 couples can be arranged in a straight line such that the male and female occupy alternate positions ?

Q12:

Anupma and Tapsi are students of class 7. Two sections of 20 students and 30 students are formed out of 50 students of that class. What is the probability that Anupma and Tapsi both enter the same section?

Q13:

A card is drawn from a well shuffled pack of cards. Find the probability of it being a red king.

Q14:

If ^{(n + 1)}P₄ : ⁿP₄ = 5 : 4. Then find the value of n.

Q15:

A bat is sold at 20% profit. If cost price and selling price of the bat is reduced by ₹ 400 each, the profit is 10% more. Find the cost price of the bat.