Chapter 15 Probability Ex 15.2
Chapter 15 Probability Ex 15.2 Question 1. Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on (i) the same day? (ii) […]
Chapter 15 Probability Ex 15.1
Chapter 15 Probability Ex 15.1 Question 1. Complete the following statements: (i) Probability of an event E + Probability of the event ‘not E’ = ……… (ii) The probability of an event that cannot happen is ……… Such an event is called ……… (iii) The probability of an event that is certain to happen is […]
Chapter 14 Statistics Ex 14.4
Chapter 14 Statistics Ex 14.4 Question 1. The following distribution gives the daily income of 50 workers of a factory. Convert the distribution above to a less than type cumulative frequency distribution, and draw its ogive. Solution: Question 2. During the medical check-up of 35 students of a class, their weights were recorded as follows: […]
Chapter 14 Statistics Ex 14.3
Chapter 14 Statistics Ex 14.3 Question 1. The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the median, mean and mode of the data and compare them. Solution: Question 2. If the median of the distribution given below is 28.5, find the values of x and y. […]
Chapter 14 Statistics Ex 14.2
Chapter 14 Statistics Ex 14.2 Question 1. The following table shows the ages of the patients admitted in a hospital during a year. Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency. Solution: For Mode: For Mean: We conclude that the maximum number of […]
Chapter 14 Statistics Ex 14.1
Chapter 14 Statistics Ex 14.1 Question 1. A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house. Which method did you use […]
Chapter 13 Surface Areas and Volumes Ex 13.4
Chapter 13 Surface Areas and Volumes Ex 13.4 Unless stated otherwise, take π = 22/7 Question 1. A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters of its two circular .ends are 4 cm and 2 cm. Find the capacity of the glass. Solution: Question 2. […]
Chapter 13 Surface Areas and Volumes Ex 13.3
Chapter 13 Surface Areas and Volumes Ex 13.3 Unless stated otherwise, take π = 227 Question 1. A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder. Solution: Given: radius of metallic sphere = 4.2 cm ∴ Volume = 4/3π(4.2)³ […]
Chapter 13 Surface Areas and Volumes Ex 13.2
Chapter 13 Surface Areas and Volumes Ex 13.2 Unless stated otherwise, take π = 22/7 Question 1. A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the […]
Chapter 13 Surface Areas and Volumes Ex 13.1
Chapter 13 Surface Areas and Volumes Ex 13.1 Question 1. 2 cubes each of volume 64 cm3 are joined end to end. Find the surface area of the resulting cuboid. Solution: Volume of one cube = 64 cm3 Let edge of one cube = a Volume of the cube = (edge)3 a3 = 64 ⇒ a = […]