Quantitative Aptitude - Arithmetic Ability Questions

If sin 3θ sec 2θ = 1, then what is the value of [3 tan2(5θ/2) – 1]?

Faiyaz's birthday is on Wednesday 12th April. On what day of the week will be Shray's Birthday in the same year if Shray was born on 2nd October?

For what value of k, the expression x6– 18x3 + k will be a perfect square?

If xy = 48 and x2 + y2 = 100, then (x + y) is

The difference between the selling prices of an article sold at 4% and 3% profits is Rs.3 The cost price of the article is :

To travel 672 km, an Express train takes 14 hours more than Rajdhani. If however, the speed of the Express train is doubled, it takes 8 hours less than Rajdhani. The speed of Rajdhani is

In the figure, B and C are the centres of the two circles. ADE is the common tangent to the two circles. If the ratio of the radius of both the circles is 3:5 and AC= 40, then what is the value of DE?

Simple interest on a sum for eight months at 6% per annum is Rs 340.What is the value (in Rs) of sum?