Quantitative Aptitude - Arithmetic Ability Questions

If the equations 6x - 5y + 11 = 0 and 15x + ky - 9 = 0 have no solution, then the value of k is:

If tan θ + sec θ = (x – 2)/(x + 2), then what is the value of cos θ?

If 2x - 6 ≤ x - 3 and 1+3x < 4x + 4, then x can take which of the following values?

What is the value of a2 + b2a3 - b3, when a + b = 8 and a - b = 2?

If the square of sum of three positive consecutive natural numbers exceeds the sum of their squares by 292, then what is the largest of the three numbers?

If the 3rd and the 5th term of an arithmetic progression are 13 and 21, what is the 13th term?

select the odd word/letters/number/number pair from the given alternatives.

The ratio of angles of a triangle are 1 : 2/3 : 3. Then the smallest angle is