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Consider the following distribution : Marks obtained Number of students :More than or equal to 0 63, More than or equal to 10 58, More than or equal to 20 55, More than or equal to 30 51, More than or equal to 40 48, More than or equal to 50 42, The frequency of the class 30-40 is (A) 3 (B) 4 (C) 48 (D) 51

The correct answer is (A) 3 Solution Marks Obtained Number of students Cumulative Frequency 0-10 (63 – 58) = 5... View Article

The times, in seconds, taken by 150 athletes to run a 110 m hurdle race are tabulated below The number of athletes who completed the race in less than 14.6 seconds is : A11 (B) 71 (C) 82 (D) 130

Class 13.8-14 14-14.2 14.2-14.4 14.4-14.6 14.6-14.8 14.8-15 Frequency 2 4 5 71 48 20 The correct answer is (C) 82 Solution... View Article

Consider the data : The difference of the upper limit of the median class and the lower limit of the modal class is A0 (B) 19 (C) 20 (D) 38

Class 65-85 85-105 105-125 125-145 145-165 165-185 185-205 Frequency 4 5 13 20 14 7 4 The correct answer is (C)... View Article

For the following distribution: Marks Number of students Below 10 3, Below 20 12, Below 30 27, Below 40 57, Below 50 75, Below 60 80. The modal class is (A)10-20 (B) 20-30 (C) 30-40 (D) 50-60

The correct answer is (C) 30-40 Solution According to the given details, Marks Number of students Cumulative Frequency Below 10... View Article

Consider the following frequency distribution: Class: 0-0,5 6-11, 12-17, 18-23, 24-29 Frequency: 13, 10 ,15 ,8 ,11 The upper limit of the median class is (A)17 (B) 17.5 (C) 18 (D) 18.5

The correct answer is (B) 17.5 Solution According to the given details, Classes are not continuous, hence, we have to... View Article

For the following distribution : Class: 0-05, 5-10 ,10-15 ,15-20, 20-25 Frequency :10, 15, 12 ,20, 9 the sum of lower limits of the median class and modal class is (A)15 (B) 25 (C) 30 (D) 35

The correct answer is (B) 25 Solution Class Frequency Cumulative Frequency 0-5 10 10 5-10 15 25 10-15 12 37... View Article

The abscissa of the point of intersection of the less than type and of the more than type cumulative frequency curves of a grouped data gives its (A) mean (B) median (C) mode (D) all the three above

The correct answer is (B) Median Solution The middle value in the data set is called Median. The median of a... View Article

In the formula x = a + h(fiui/fi), for finding the mean of grouped frequency distribution, ui = (A) (xi + a)/h (B) h (xi – a) (C) (xi -a)/h (D) (a – xi)/h

The correct answer is (C) (xi –a)/h Solution The given formula is the step deviation formula which is used to calculate... View Article

If xi’s are the mid points of the class intervals of grouped data, fi’s are the corresponding frequencies and x is the mean, then (fixi – [latex]overline{x}[/latex] ) is equal to (A)0 (B) -1 (C) 1 (D) 2

The correct answer is (A) 0 Solution Mean is defined as the average of the given numbers. It is the... View Article

While computing mean of grouped data, we assume that the frequencies are (A) Evenly distributed over all the classes (B) Centred at the class marks of the classes (C) Centred at the upper limits of the classes (D) Centred at the lower limits of the classes

The correct answer is (B) Centered at the class marks of the classes Solution Mean is defined as the average of... View Article

500 persons are taking a dip into a cuboidal pond which is 80 m long and 50 m broad. What is the rise of water level in the pond, if the average displacement of the water by a person is 0.04m3?

Given Average displacement by a person = 0.04 m3 Dimensions of pond Length of pond, l = 80 m Breadth... View Article

Water is flowing at the rate of 15 km/h through a pipe of diameter 14 cm into a cuboidal pond which is 50 m long and 44 m wide. In what time will the level of water in pond rise by 21 cm?

Given Rate of water flow=15km/h Dimensions of cuboidal pond Length, l = 50 m Breadth, b = 44 m Height,... View Article

A factory manufactures 120000 pencils daily. The pencils are cylindrical in shape each of length 25 cm and circumference of base as 1.5 cm. Determine the cost of colouring the curved surfaces of the pencils manufactured in one day at Rs 0.05 per dm2.

Given The shape of pencil = cylinder Number of pencils manufactured in a day=120000 Circumference of base of cylinder =... View Article

A heap of rice is in the form of a cone of diameter 9 m and height 3.5 m. Find the volume of the rice. How much canvas cloth is required to just cover the heap?

Given Base Diameter of conical heap = 9 cm Height, h of conical heap = 3.5 cm Find out We have... View Article

Water flows at the rate of 10m/minute through a cylindrical pipe 5 mm in diameter. How long would it take to fill a conical vessel whose diameter at the base is 40 cm and depth 24 cm?

Given Base Diameter of conical pipe = 40 cm Height of conical pipe, h = 24 cm Base diameter of... View Article

The barrel of a fountain pen, cylindrical in shape, is 7 cm long and 5 mm in diameter. A full barrel of ink in the pen is used up on writing 3300 words on an average. How many words can be written in a bottle of ink containing one fifth of a litre?

Given Base diameter of barrel= 5 mm = 0.5 cm Height of barrel, h = 7 cm A full barrel... View Article

How many cubic centimetres of iron is required to construct an open box whose external dimensions are 36 cm, 25 cm and 16.5 cm provided the thickness of the iron is 1.5 cm. If one cubic cm of iron weighs 7.5 g, find the weight of the box.

Given Length of external box, l = 36 cm Breadth of external box, b = 25 cm Height of external... View Article

A rectangular water tank of base 11 m × 6 m contains water upto a height of 5 m. If the water in the tank is transferred to a cylindrical tank of radius 3.5 m, find the height of the water level in the tank.

Given Length of cuboidal tank, l = 11 m Breadth of cuboidal tank, b = 6 m Height of cuboidal... View Article

A solid metallic hemisphere of radius 8 cm is melted and recasted into a right circular cone of base radius 6 cm. Determine the height of the cone.

Given Radius of hemisphere, r = 8 cm Base radius of cone = 6cm The metallic hemisphere is casted into... View Article

Two cones with same base radius 8 cm and height 15 cm are joined together along their bases. Find the surface area of the shape so formed.

Given Two cones same dimensions Radius of cone, r = 8 cm Height of cone h = 15 cm Find... View Article

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