Basi C Mathematics

BASIC MATHEMATICS AFTERSCHO☺OL – DEVELOPING CHANGE MAKERS CENTRE FOR SOCIAL ENTREPRENEURSHIP PGPSE PROGRAMME – World’ Most Comprehensive programme in social entrepreneurship & spiritual entrepreneurship OPEN FOR ALL FREE FOR ALL www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

BASIC MATHEMATICS Dr. T.K. Jain. AFTERSCHO☺OL Centre for social entrepreneurship Bikaner M: 9414430763 [email_address] www.afterschool.tk , www.afterschoool.tk www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

11% of a number exceeds 7% of the same by 18, then What is the number? ,[object Object],[object Object],[object Object],[object Object]

WHAT IS THE TOTAL SURFACE AREA OF A CUBE, WHOSE ONE SIDE IS 2 C.M.? ,[object Object],[object Object]

A cone and a hemisphere have equal bases and equal volumes. The ratio of their heights is ,[object Object],[object Object],[object Object],[object Object]

A room is in the shape of a cube, with one side of 3 meters. What is the length of the longest rod that can be put in this room? ,[object Object],[object Object]

If all the edges of a rectangular prism are doubled and its shape is left unchanged, then its volume becomes ,[object Object],[object Object]

A spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of two of these balls are 1.5 cm and 2cm. The radius of the third ball is ,[object Object],[object Object],[object Object],[object Object]

A hemispherical bowl of internal radius 9 cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of diameter 3 cm and height 4 cm. How many bottles will be needed to empty the bowl? ,[object Object],[object Object]

A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is ,[object Object],[object Object],[object Object],[object Object]

A cylindrical tub of radius 12 cm contains water upto a depth of 20cm. A spherical iron ball is dropped into the tub and thus the level of water is raised by 6.75 cm. The radius of the ball is ,[object Object],[object Object],[object Object],[object Object],[object Object]

The diameter of a copper sphere is 6cm. The sphere is melted and drawn into a long wire of uniform circular cross section. If the length of the wire is 36 cm, the radius of wire is ,[object Object],[object Object],[object Object]

A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is ,[object Object],[object Object]

The ratio of the volume of a right circular cylinder and a right circular cone of the same base and height will be ,[object Object]

The average marks of a student in 8 subjects are 87. Of these, the highest marks are 2 more than the one next in value. If these two subjects are eliminated, the average marks of the remaining subjects are 85. What are the highest marks obtained by him? ,[object Object],[object Object],[object Object]

Amit, Sachin and Veeru join a 2000m race. Sachin beats Veeru by 120 metres and Amit by 250 metres. By how many metres does Veeru beat Amit over the full distance? ,[object Object],[object Object]

If x is 90% of y, what percent of x is y? ,[object Object],[object Object]

If the numerator of a fraction is increased by 20% and its denominator is decreased by 10%, the fraction becomes ,[object Object],[object Object],[object Object]

The average weight of a group of boys and girls is 38 kg. average weight of the boys is 42 kg, and that of the girls is 33kg. If the number of boys is 25, find the number of girls? ,[object Object]

The average age of 10 boys is l5years.Of this 3 boys having an average age of 22 years left. What is the average age of the remaining boys? ,[object Object],[object Object],[object Object]

The cost of carpeting a room 15 metres long with a carpet 75 cm wide at 30 paise per metre is Rs. 36. The breadth of the room is ,[object Object],[object Object],[object Object],[object Object],[object Object]

The length of a rectangle is doubled while its breadth is halved. What is the percentage change in area ? ,[object Object],[object Object]

The length of a rectangle is increased by 60%. By what percent would the width have to be decreased to maintain the same area ? ,[object Object]

A rectangular plot of land with an area 600 sq.m is fenced, length of fencing being 100 m. Length of the plot is ,[object Object],[object Object],[object Object]

A 5 m wide lawn is cultivated all along the outside of a rectangular plot measuring 90 m X 40 m. The total area of the lawn is ,[object Object]

Around a rectangular garden of length 10 m and width 5 m, a road I m wide is laid. The cost of metalling the road at Rs. 200 per sq. m is ,[object Object]

The area of a rectangular field is 52000 sq m This rectangular area has been drawn on a map to the scale 1 cm to 100 m. The length is shown as 3.25 cm on the map. The breadth of the rectangular field is ,[object Object]

What is the square root of .4? ,[object Object],[object Object]

The cost of fencing a square garden is Rs. 400 at the rate of Re. I per metre. The area of the garden in square metres is ,[object Object],[object Object],[object Object]

If the side of a square be increased by 50%, the percent increase in area is ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

If the area of an equilateral triangle is 24 .5 sq. m, then its perimeter is ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

The ratio of the area of a square to that of the square drawn on its diagonal is ,[object Object],[object Object],Sqrt(2) 1 (side)

The base of a right angled triangle is 5 metres and hypotenuse is 13 metres. Its area will be ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],13 5

The area of an equilateral triangle whose side is 8 cms, is ,[object Object],[object Object],[object Object],[object Object]

A room 5.44 m x 3.74 m is to be paved with square tiles. The least number of tiles required to cover the floor is ,[object Object]

The sides of a triangular board are 13 metres, 14 metres and 15 metres. The cost of painting it at the rate of Rs. 8.75 per sq. m. is ,[object Object],[object Object],[object Object],[object Object],[object Object]

Area of four walls of a room is 77 square metres. the length and breadth of the room are 7.5 metres and 3.5 metres respectively. The height of the room is ,[object Object],[object Object],[object Object]

The cost of papering the four walls of a room is Rs. 480. Each one of the length, breadth and height of another room is double that of this room. The cost of papring the walls of this new room is ,[object Object]

The length of a rope by which a cow must be tethered in order that she may be able to graze an area of 9856 sq.m. is ,[object Object],[object Object],[object Object]

The length of minute hand on a wall clock is 7 cms . The area swept by the minute hand in 30 minutes is ,[object Object],[object Object],[object Object]

A and B start a business with initial investments in the ratio 12: 11 and their annual profits were in the ratio 4: 1. If A invested the money for 11 months, B invested for : ,[object Object],[object Object],[object Object],[object Object]

Goti started a business with Rs. 21000 and is joined afterwards by Vinod with Rs. 36000. After how many months did Vinod join, if the profits at the end of the year are divided equally ,[object Object],[object Object],[object Object],[object Object]

A and B entered into partnership investing Rs 12000 and Rs. 16000 respectively. After 3 months, B withdrew Rs. 5000 while A invested Rs. 5000 more. Out of total annual profit of Rs. 16000, the share of A exceeds that of B by : ,[object Object],[object Object],[object Object],[object Object]

A, B, C subscribe Rs. 47000 for a business. If A subscribes Rs. 7000 more than B and B Rs. 5000 more than C, then out of a total profit of Ks. 9400, B receives ,[object Object],[object Object],[object Object]

A, B, C start a business. If A invests 3 times as much as B invests and B invests two-third of what C invests, then the ratio of capitals of A, B, C is ,[object Object],[object Object]

If 6 (A’ capital) = 8 (B’s capital) = 10 (Cs capital), then the ratio of their capitals is: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

If A’s capital is equal to twice B’s capital and B’s capital is three times C’s capital, then the ratio of their capitals is : ,[object Object],[object Object]

A, B Center into partnership. A invests some money at the beginning. B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit be Rs. 9000, then Cs share is: ,[object Object],[object Object],[object Object]

Monu, Sonu and kapsa rented a video cassette for one week at a rent of Rs. 350. If they used it for 6 hours, 10 hours and 12 hours respectively, what is the rent to be paid by Kapsa? ,[object Object],[object Object],[object Object]

A, B, C start a business with capitals in the ratio 1/3, ¼, 1/5. A withdraws half his capital at the end of 4 months. Out of a total annual profit of Rs. 847, A’s share is: ,[object Object],[object Object],[object Object]

A, B, c hired a taxi for Rs. 520 and used it for 7, 8 and 11 hours respectively. The amount of hire charges paid by B was: ,[object Object],[object Object]

A and B entered into partnership with capitals in the ratio 4 and 5. After 3 months, A withdrew 1/4 th of his capital and B withdrew 1/5 th of his capital. The gain at the end of 10 months was Ks. 760. The share of A in this profit is

Solution … ,[object Object],[object Object],[object Object],[object Object]

Four milkmen rented a pasture. A grazed 18 cows for 4 months, B 25 cows for 2 months, C 28 cows for 5 months and D 21 cows for 3 months. If A’s share of rent in Rs. 360, the total rent of the field (in rupees) is: ,[object Object],[object Object],[object Object]

A and B enter into partnership. A invests Rs. 16000 for 8 months and B remains in the business for 4 months. Out of a total annual profit, B claims 2/7of the profit. The contribution of B (in rupees) was : ,[object Object],[object Object]

A circular pipe is to be designed in such a way that water flowing through it at a velocity of 7 m per min. is collected at its open end at the rate of 11 cubic meter per min. what should be the inner radius of the pipe: ,[object Object],[object Object],[object Object],[object Object]

Two rectangular sheets of paper each 30 cm x 18 cm are made into two right circular cylinders, one by rolling the paper along its length and the other along the breadth. The ratio of the volumes of the two cylinders, thus formed, is ,[object Object],[object Object],[object Object],[object Object],[object Object]

The altitude of a circular cylinder is increased six times and the base area is decreased to one-ninth of its value. The factor by which the lateral surface of the cylinder increases, is ,[object Object],[object Object]

Two cylindrical vessels with radii 15 cm & 10 cm and heights 35 cm & 15 cm respectively are filled with water. If this water is poured into a cylindrical vessel 15 cm in height, then the radius of the vessel is ,[object Object],[object Object],[object Object],[object Object]

Two circular cylinders of equal volume have their heights in the ratio 1: 2. Ratio of their radii is ,[object Object],[object Object],[object Object],[object Object]

A solid cylinder has a total surface area of 231 cm If its curved surface area is two-third of the total surface area, the volume of the cylinder is? ,[object Object],[object Object],[object Object],[object Object],[object Object]

The radius of a wire is decreased to one-third; If volume remains the same, the height will become: ,[object Object],[object Object],[object Object],[object Object]

The sum of the radius of the base and the height of a solid cylinder is 37 m. If the total surface area of the cylinder be 1628 m its volume is ? ,[object Object],[object Object],[object Object],[object Object]

The radii of the two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is ,[object Object],[object Object],[object Object]

The number of coins 1.5 cm in diameter and 0.2 cm thick to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm is ,[object Object],[object Object],[object Object]

A rectangular tin sheet is 12 cm long and 5 cm broad. It is rolled along its length to form a cylinder by making the opposite edges just to touch each other. The volume of the cylinder (in cm) is ,[object Object],[object Object],[object Object]

A hollow garden roller 63 cm wide with a girth of 440 cm is made of iron 4 cm thick. The volume of the iron used is: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

2.2 cubic dm. of lead is to be drawn into a cylindrical wire 0.50 cm in diameter. The length of the wire is ,[object Object],[object Object],[object Object]

If the area of a circle be equal to that of a square. then the ratio of the side of the square and the radius of the circle is ,[object Object],[object Object],[object Object],[object Object],[object Object]

The perimeter of a square whose area is equal to that of a circle with perimeter 2 pi x, is ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

The radius of a circle is increased so that its circumference is increased by 5%. The area of the circle will increase by ,[object Object]

The ratio of the areas of the incircle and circumcircle of an equilateral triangle ,[object Object],[object Object],[object Object],[object Object]

The area of the circle inscribed in an equilateral triangle of side 24 cms, ,[object Object],[object Object],[object Object],[object Object],[object Object]

From the following find the best option for FARM ? (First row number & then column no.)

WHICH IS BEST OPTION FOR FARM?

About AFTERSCHO☺OL ,[object Object],[object Object],[object Object],[object Object]

Branches of AFTERSCHO☺OL ,[object Object],[object Object],[object Object]

Workshop on social entrepreneurship ,[object Object],[object Object]

FREE ONLINE PROGRAMME ,[object Object],[object Object],[object Object],[object Object],[object Object]

100% placement / entrepreneurship ,[object Object],[object Object]

Pursue professional courses along with PGPSE ,[object Object],[object Object]

Basi C Mathematics

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