Solution : By Euclid’s Division Algorithm, we have a = bq + r …………..(i) On putting b = 3 in (1), we get a = 3q + r, [0 \(\le\) r < 3] If r = 0 a = 3q \(\implies\) \(a^2\) = \(9q^2\) …
Solution : To find the maximum number of columns, we have to find the H.C.F. of 616 and 32 i.e. 616 = 32 \(\times\) 19 + 8 and 32 = 8 \(\times\) 4 + 0 \(\therefore\) H.C.F of 616 and 32 is 8. Hence, maximum number of columns is 8.
Solution : By Euclid’s division algorithm, we have a = bq + r ……….(i) On putting, b = 6 in (1), we get a = 6q + r [0 \(\le\) r < 6] If r = 0, a = 6q, 6q is …
Question : Use Euclid’s division algorithm to find the H.C.F of : (i) 135 and 225 (ii) 196 and 38220 (iii) 865 and 225 Solution : (i) We start with the larger number 225. By Euclid’s Division Algorithm, we have 225 = 135 \(\times\) 1 + 90 We apply Euclid’s Division Algorithm on Division 135 …
Use Euclid’s division algorithm to find the H.C.F of : Read More »
Here you will learn formula for the total surface area and curved surface area of frustum of cone with derivation and examples. Let’s begin – What is Frustum of Cone ? Frustum of a cone is the solid obtained after removing the upper portion of the cone by a plane parallel to its base. The …
Area of Frustum of Cone – Formula and Derivation Read More »
Here you will learn formula for the volume of a frustum of a cone with derivation and examples based on it. Let’s begin – What is Frustum of Cone ? Frustum of a cone is the solid obtained after removing the upper portion of the cone by a plane parallel to its base. The lower …
Volume of a Frustum of a Cone – Formula and Derivation Read More »
Here you will learn what is combined mean formula and how to find combined mean with examples. Let’s begin – Combined Mean Formula If \(\bar{x_1}\) and \(\bar{x_2}\) be the means of two groups having \(n_1\) and \(n_2\) terms respectively then the mean(combined mean) of their composite group is given by Combined mean = \(n_1\bar{x_1} + …
Here you will learn what is weighted mean formula and how to calculate weighted mean with examples. Let’s begin – Weighted Mean Formula If \(w_1\), \(w_2\), ……\(w_n\) are the weights assigned to the values \(x_1\), \(x_2\), …..\(x_n\) respectively then their weighted mean is defined as Weighted mean = \(w_1x_1 + w_2x_2 +……+ w_nx_n\over {w_1 +…….+ …
Here you will learn what is the formula for mode of grouped and ungrouped data and how to find mode with examples. Let’s begin – What is Mode ? Mode is the size of the variable which occurs most frequently. Formula for Mode : (i) For ungrouped distribution : The value of that variate which is …
Here you will learn what is the formula for median of grouped and ungrouped data and how to find median with examples. Let’s begin – What is Median ? Median is defined as the measure of central term when they are arranged in ascending or descending order of magnitude. Formula for Median : (i) For …
