Quantitative Aptitude - Arithmetic Ability Questions

If a3 + 3a2 + 9a = 1, then what is the value of a3 + (3/a)?

If a + b = 1 and ab = -6, then what is the value of a3+ b3?

tanAcosec2A is equal to

What is the place value and face value of 9 in 68956 respectively?

If 3a=4b=6c and a+b+c=279 then a2+b2+c2 is equal to

Krish is 5 years younger than Parthiv. Eight years ago three times the age of Krish was 10 more than twice the age of Parthiv. Find Krish's present age?

A 145 m long train crosses a 655 m long bridge in 36 seconds. What is the speed of the train?

The sum of a non-zero number and 4 times its reciprocal is 17/2. What is the number?