Quantitative Aptitude - Arithmetic Ability Questions

If cosec π/4 - ­ sin π/3 = x, then the value of x is

The ratio of salary of u, v and w is 8 : 7 : 13. If w gets Rs 3384 more than that of v, then what is the salary (in Rs) of u?

If x = 1 + √2 + √3 , then the value of 2x4 - 8x3 - 5x2 + 26x - 28 is

If the angle of elevation of the sun decreases from 45° to 30°, then the length of the shadow of a pillar increases by 60m. The height of the pillar is

If a4 + 1 = [a2 /b2 ] (4b2 – b4 – 1), then what is the value of a4 + b4?

If [a + (1/a)]2 – 2[a – (1/a)] = 12, then which of the following is a value of 'a'?

If the roots of the equation a(b – c)x2 + b(c – a)x + c(a – b) = 0 are equal, then which of the following is true?

If x – 4y = 0 and x + 2y = 24, then what is the value of (2x + 3y)/(2x – 3y)?