Quantitative Aptitude - Arithmetic Ability Questions

If 3+12=x+3y, then the x+y is 

What is the value of √2 Sec 45° + (1/√3)Tan 30°?

The sum of a fraction and 3 times its reciprocal is 37/10. What is the fraction?

What is the value of Sin 30° - Cosec 45°?

The sum of a non-zero number and its reciprocal is 2. What is the number?

By which least number should 5000 be divided so that it becomes a perfect square?

In the given figure, ABCD is a square of side 14 cm. E and F are mid points of sides AB and DC respectively. EPF is a semicircle whose diameter is EF. LMNO is a square . What is the area (in sq.cm) of the shaded region?

The first and last terms of an arithmetic progression are 29 and -49. If the sum of the series is -140, then it has how many terms?