In an isosceles triangle ABC, AB = AC and ∠A = 80°. The bisector of ∠B and ∠C meet at D. The ∠BDC is equal to

If a1-2a+b1-2b+c1-2c = 12, then 11-2a+11-2b+11-2c value is

If x = 999, y = 1000, z = 1001, then the value of x3+y3+z3-3xyzx-y+z is

The average weight of 10 parcels is 1.7 kg. Addition of another new parcel reduces the average weight by 60 gram. What is the weight , in kg, of the new parcel?

Two numbers are in the ratio 3:5. If 6 is added to both of them, the ratio becomes 2:3. The numbers are

The least number to be added to 13851 to get a number which is divisible by 87 is

If α + β = 90° and α:β = 2:1, then the ratio of cosα to cosβ is

The ratio of angles of a triangle are 1 : 2/3 : 3. Then the smallest angle is