The simplified value of
2
D.
ABCD is a cyclic quadrilateral. Diagonals AC and BD meets at P. If and , then measures
The area of the triangle formed by the graphs of the equations x = 4, y = 3 and 3x + 4y = 12 is
4 sq units
12 sq units
6 sq units
6 sq units
Two pipes A and B can fill a tank with water in 30 min and 45 min, respectively. The water pipe C can empty the tank in 36 min. First A and B are opened. After 12 min, C is opened. Total time (in min) in which the tank will be filled up, is
30
24
36
36
Two towers A and B have lengths 45m and 15 m respectively. The angle of elevation from the bottom of the B tower to the top of the A tower is . If the angle of elevation from the bottom of the A tower to the top of the B tower is , then the value of is
A dealer buys an article listed at ₹ 100 and gets successive discounts of 10% and 20%. He spends 10% of the cost price on transportation. At what price should he sell the article to earn a profit of 15%.
₹ 91.08
₹ 92.00
₹ 90.80
₹ 90.80
Two alloys contain tin and iron in the ratio of 1:2 and 2:3. If the two alloys are mixed in the proportion of 3 : 4 respectively (by weight), the ratio of tin and iron in the newly formed alloy is
13:22
14:25
10:21
10:21