In the fig. ∆ABC is inscribed in a circle with centre O. If ∠ABC = 30° then ∠ACB is equal to
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The ratio of present ages of Ratna and Shantanu is 5:4. After 19 years the ratio of their ages will be 10:9. What is Ratna's present age?
Akhilesh is two times as good a workman as Bansi and therefore is able to finish a job in 39 days less than Bansi. Working together, they can do it in
The mean of marks secured by 65 students in division A of class X is 54, 30 students of division B is 50 and that of 55 students of division C is 48. Find the mean of marks of the students of three divisions of Class X.
X, Y and Z can do a piece of work in 30, 40 and 50 days respectively. All three of them began the work together but Y left 4 days before completion of the work. In how many days was the work completed?
Marked price of a chair is Rs 800 and discount is 15%. What is additional discount (in percentage) should be offered to the customer to bring the price of chair to Rs 578?
What is the value of Cot 45°+ 1/3 Cosec 60°?
If a--b = 4 and ab = 45, find the value of a3 - b3
(a – b)2 = a2 + b2 -2ab ⇒ 16 = a2 + b2 – 90 ⇒ a2 + b2 = 106 a3 – b3 = (a – b) (a2 + b2 + ab) ⇒ a3 – b3 = 4 X (106 + 45) ⇒ a3 – b3 = 4 X 151 ⇒ a3 – b3 = 604
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