A hall 25 metres long and 15 metres broad is surrounded by a verandah of uniform width of 3.5 metres. The cost of flooring the verandah, at 27.50 per square metre is

The expression x⁴ – 2x² + k will be a perfect square when the value of k is

90% of the students in school passed in English, 85% passed in Mathematics and 150 students passed in both the subjects. If no student failed in both the subjects, find the total number of students

If a dining table with marked price 6,000 was sold to a customer for 5,500, then the rate of discount allowed on the table is

The average monthly expenditure of a family is 2,200 during first three months, 2,550 during next four months and 3,120 during last five months of the year. If the total savings during the year was 1,260, what is the average monthly income ?

The angle between the external bisectors of two angles of a triangle is 60°. Then the third angle of the triangle is

If a + b + c + d = 1, then the maximum value of (1 + a) (1 + b) (1 + c) (1 + d) is

The radius of the base of a cylinder and a cone are in the ratio $\sqrt{3}: \sqrt{2}$ and their heights are in the ratio $\sqrt{2}: \sqrt{3}$. Their volumes are in the ratio of

What is the value of cosec (–1410°) ?

What will be the equation of a line passing through the point (–4, 3) and having slope $\frac{1}{2}$ ?