একটি ট্রেন 75 কিমি/ঘণ্টায় অভিন্ন গতিতে চলছে। (i) এটি 20 মিনিটে কতদূর যাবে? (ii)...

Evaluate : (i) ""^(20)P_(4) (ii) ""^(75)P_(2)

Write down all the factors of (i) 20, (ii) 36, (iii) 60 (iv) 75

In which of the following tables a and b vary directly? (i) a, 7, 9, 13, 21, 25 b, 21, 27, 39, 63, 75 (ii) a, 10, 20, 30, 40, 46 b, 5, 10, 15, 20, 23 (iii) a, 1^2 , 2^2 , 3^2 , 4^2 , 5^2 b, 1^3 , 2^3 , 3^3 , 4^3 , 5^3

In which of the following tables, a\ a n d\ b vary directly. Also, find the constant of variation if a\ a n d\ b are in direct variation. (i) a, 4, 7, 21, 28 b, 12, 21, 63, 84 (ii) a, 2.5, 5, 7.5, 10, 15 b, 10, 20, 30, 40, 60 (iii) a, 1, 2, 3, 4, 5 b, 2, 1, 6, 3, 2/5

A train is moving at a uniform speed of 75km/hour. (i) How far will it travel in 20 minutes? (ii) Find the time required to cover a distance of 250km.

Prove that (i) " sin " 80^(@) "cos " 20^(@) - " cos " 80^(@) " sin " 20^(@) =(sqrt(3))/(2) (ii) " cos " 45^(@) " cos " 15^(@) - " sin " 45^(@) " sin " 15^(@) = (1)/(2) (iii) " cos " 75^(@) " cos " 15^(@) + " sin " 75^(@) " sin " 15^(2)= (1)/(2) (iv) " sin " 40^(@) " cos " 20^(@) " + cos " 40^(@) " sin " 20^(@) =(sqrt(3))/(2) (v) " cos " 130^(@) " cos " 40^(@) l + " sin " 130^(@) " sin " 40^(@) =0

A concave mirror has focal length 15 cm. Where should an object be placed in front of the mirror so that the image formed is three times the size of the object? (i) 7.5 cm (ii) 10 cm (iii) 17.5 cm (iv) 20 cm

To promote making of toilets for women, an organisation tried to generate awareness attempt (i) house calls (ii) letters, and (iii) announcements. The cost for each mode per attempt is given below: (i) Rs 50 (ii) Rs 20 (iii) Rs 40 The number of attempts made in three villages X , Y and Z are given below: (i) (ii) (iii) X 400 300 100 Y 300 250 75 Z 500 400 150 Find the total cost incurred by the organisation for three villages separately, using matrices.

Two samples of HCl of 1.0 M and 0.25 M are mixed. Find volumes of these samples taken in order to prepare 0.75 M HCl solution. Assume no water is added. (I) 20 mL, 10 mL (II) 100 mL, 50 mL k (III) 40 mL, 20 mL (IV) 50 mL, 25 mL