P-1 Quadratic Equations — Maths STD 10 — Question

Write an A.P. whose first term is a and common difference is d in each of the following.
a = 10, d = 5

There are 40 students in a class of whom 25 are girls and 15 are boys. The class teacher has to select one student as a class representative. He writes the name of each student on a separate card, the cards being identical. Then she puts cards in a bag and stirs them thoroughly. She then draws one card from the bag. What is the probability that the name written on the card is the name of:

1. A girl?
2. A boy?

Find the coordinates of centroid of the triangles if points D(-7,6),E(8,5) andF(2, -2) are the mid points of the sides of that triangle.

Very-Short and Short-Answer Questions:
A number consists of two digits whose sum is 10. If 18 is subtracted from the number, its digits are reversed. Find the number.

In a circle of radius 21cm, an arc subtends an angle of 60° at the centre. Find the length of the arc.

Bashirkhan purchased 100 shares of MV ₹ 40. Brokerage paid at the rate of 0.5% and rate of GST on brokerage is 18%. Find the total amount he paid for the share purchase.

17 cards numbered 1, 2, 3, 4, ..., 17 are put in a box and mixed thoroughly. A card is drawn at random from the box. Find the probability that the card drawn bears:

1. An odd number.
2. A number divisible by 5.