Quantitative Aptitude - Arithmetic Ability Questions

If 1/(cosecA ­ cotA) = x, then the value of x is

If 4x - 5(2x - 1) > 2x + 3 > 2 - 3x; then x can take which of the following values?

In the given figure, OX, OY and OZ are perpendicular bisectors of the three sides of the triangle. If QPR = 65 deg and PQR = 60 deg, then what is the value (in deg) of QOR + POR ?

If 1/2 is added to a number and the sum is multipled by 3, the result is 21. Then the number is

A and B start an enterprise together, with A as active partner. A invests Rs 4000 and Rs 2000 more after 8 months. B invests Rs 5000 and withdraws Rs 2000 after 9 months. Being the active partner, A takes Rs 100 per month as allowance, from the profit. What is the share of B if the profit for the year is Rs 6700?

A missile travels at 1260 km/h. How many metres does it travel in one second?

The average marks obtained in a class of 50 students is 70%. The average of first 25 is 60% and that of 24 is 80%. What is the marks obtained by the last student?

P is a point outside the circle at distance of 6.5 cm from centre O of the circle. PR be a secant such that it intersects the circle at Q and R. If PQ = 4.5 cm and QR = 3.5 cm, then what is the radius (in cm) of the circle?