Quantitative Aptitude - Arithmetic Ability Questions

If a2+1=a, then the value of a3 is

Length of three line segments isgiven. Is construction of a triangle possible with the segments in the given cases?

Which smallest number must be subtracted from 400, so that the resulting number is completely divisible by 7?

The value of sec2θ + 2tanθcotθ - tan2θ is

The sum of the lengths of the edges of a cube is equal to half the perimeter of a square. If the numerical value of the volume pf the cube is equal to one-sixth of the numerical value of the area of the square, then the length of one side of the square is

In ΔPQR measure of angle Q is 90 deg. If tanP = 24/7, and PQ = 14cm, then what is the length (in cm) of side QR?

What is the reflection of the point (-3, 1) in the line x = -2?

Average age of 5 students of a school is 14 years. The average age of students and their Mathematics and science teachers is 30 years. If the age of science teacher is 6 years more than the age of Mathematics teacher, then what is the age (in years) of Mathematics teacher?