A high school has a `$1000` budget to buy calculators. Each scientific calculator will cost the school `$12.97` and each graphing calculator will cost the school `$73.89`. Which of the following inequalities represents the possible number of scientific calculators S and graphing calculators G that the school can purchase while staying within their specified budget?

Ariel enters a contest to sel advertisements in ther school's yearbook. To qualify for a prize. She has to sell at least $1,500 worth of advertisements consisting of no fewer than 15 invididual ads. Each full-page ad costs $110, each half-page and costs $70, and each quarter-page ad costs %50. Which of the following systems of inequalities represents this situation, whre x is the number of full-page ads she sells, y is the number of half-page ads she sells, and z is the number of quarter-page ads she sells?

The following bar graph (Figure) represents the heights (in cm) of 50 students of Class XI of a particular school. Study the graph and answer the following questions: What percentage of the total number of students have their heights more than 149 cm? How many students in the class are in the range of maximum height of the class? The school wants to provide a particular type of tonic to each student below the height of 150cm to improve his height. If the cost of the tonic for each student comes out to be Rs. 55, how much amount of money is required? How many students are in the range of shortest height of the class? State whether true or false: There are 9 students in the class whose heights are in the range of 155-159 cm. Maximum height (in cm) of a student in the class is 17. There are 29 students in the class whose heights are in the range of 145-154 cm. Minimum height (in cm) of a student is the class is in the range of 140-144cms. The number of students in the class having their heights less than 150cm is 12. There are 14 students each of whom has height more than 154 cm.

The following bar graph (Figure) represents the heights (in cm) of 50 students of Class XI of a particular school. Study the graph and answer the following questions: What percentage of the total number of students have their heights more than 149 cm? How many students in the class are in the range of maximum height of the class? The school wants to provide a particular type of tonic to each student below the height of 150cm to improve his height. If the cost of the tonic for each student comes out to be Rs. 55, how much amount of money is required? How many students are in the range of shortest height of the class? State whether true or false: There are 9 students in the class whose heights are in the range of 155-159 cm. Maximum height (in cm) of a student in the class is 17. There are 29 students in the class whose heights are in the range of 145-154cm. Minimum height (in cm) of a student is the class is in the range of 140-144cms. The number of students in the class having their heights less than 150cm is 12. There are 14 students each of whom has height more than 154 cm.

A school has to buy at least 15 chairs within a budgetary ceiling of Rs 2000. A chair with arms costs Rs 160 and one without arms costs Rs 100. What is the maximum number of chairs with arms that the school can buy? (a) 7 (b) 8 (c) 9 (d) 12

Today is the Foundation day of our school. Each student of class five will be given pencil and eraser worth 5 rupees. Each student of class six will be given compass worth of 10 rupees. There are x students present in class five, but number of students present in class six is 8 less than the number present in class five. Calculate the amount of money spent for pencils and erasers and also the amount spent for compasses.

Take a small stone. Hold it in your hand. We know that the force gravity due to the earth acts on each and every object. When we were holding the stone in our hand, the stone was experiencing this force, but it was balanced by a force that we were applying on it in the opposite direction. As a result, the stone remained at rest. Once we release the stone from our hands the only force that acts on it is the gravitational force of the earth and the stone falls down under its influence. Whenever an object moves under the influence of the force of gravity alone, it is said to be falling freely. Thus the released stone is in a free fall. In free fall, the initial velocity of the object is zero and goes on increasing due to acceleration due to gravity of the earth. During free fall, the frictional force due to air opposes the motion of the object and a buoyant force also acts on the object. Thus, true free fall is possible only in vacuum. For a freely falling object, the velocity on reaching the earth and the time taken for it can be calculated by using Newton's equations of motion. For free fall the initial velocity u=0 and the acceleration a=g . Thus, we can write the equations as v="gt",s=1/2"gt"^(2),v^(2)=2gs For calculating the motion of an object thrown upwards, acceleration is negative, i.e. in a direction opposite to the velocity and is taken to be -g. The magnitude of g is the same but the velocity of the object decreases due to -ve acceleration. The moon and the artificial satellites are moving only under the influence of the gravitational field of the earth. Thus they are in free fall. Which force acts on the stone in free fall after you release it?

Column I, Column II The number of five-digit numbers having the product o digit 20 is, p. > 70 A closest has five pairs of shoes. The number of ways in which four shoes can be drawn from it such that there will be no complete pair is, q. <60 Three ladies have each brought their one child for admission to a school. The principal wants to interview the six persons one by one subject to the condition that no mother is interviewed before her child. The number of ways in which interview can be arranged is, r. in (50 ,110) The figures 4, 5, 6, 7, 8 are written in every possible order. The number of numbers greater than 56000 is, s. in (40 ,70)

Column I, Column II The number of five-digit numbers having the product o digit 20 is, p. > 70 A closest has five pairs of shoes. The number of ways in which four shoes can be drawn from it such that there will be no complete pair is, q. <60 Three ladies have each brought their one child for admission to a school. The principal wants to interview the six persons one by one subject to the condition that no mother is interviewed before her child. The number of ways in which interview can be arranged is, r. in (50 ,110) The figures 4, 5, 6, 7, 8 are written in every possible order. The number of numbers greater than 56000 is, s. in (40 ,70)