Quantitative Aptitude - Arithmetic Ability Questions

If sec2A cosec2A = x, then x is

What is the sum of the first 13 terms of an arithmetic progression if the 5th term is 1 and the 8th term is -17?

What is the value of (cot60 + 1/√3) ?

On dividing a number by 38, we get 70 as quotient and 12 as remainder. What is the number?

In what ratio is the segment joining (-1,-12) and (3,4) divided by the x-axis?

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:5 and area of ΔABC is 98 cm sq, what is the area (in sq cm) of quadrilateral BDEC?

The perimeter of a square is 30 cm. Find its area (in cm²).

In ΔABC, ∠B=90 deg and BC= √3 AB. Find the measurement of ∠A