Quantitative Aptitude - Arithmetic Ability Questions

If 4(x + 1) - 3 < 3 - x < 2x + 5; then the value of x is

What is the distance between the points (3 , 6) and (-2 , -6)?

∆DEF is right angled at E. If tanD = 4/3, then what is the value of tanF ?

The side BC of the ΔABC is extended to the point D. If ∠ ACD = 112° and ∠B = 3/4 ∠A, then the value of ∠B is

A batsman makes a score of 111 runs in the 10th match and thus increases his average runs per match by 5. What will be his average after the 10th match?

Convert decimal number 101 to binary.

One pipe can fill an empty cistern in 4 hours while another can drain the cistern when full in 10 hours. Both the pipes were turned on when the cistern was half-empty. How long will it take for the cistern to be full?

 What is the value of (cosec45 + √3/2) ?