Quantitative Aptitude - Arithmetic Ability Questions

The side BC of ΔABC is produced to D. If ∠ACD = 114° and ∠ABC= (1/2)∠BAC, then what is the value (in degrees) of ∠BAC?

In a triangle the length of the side opposite the right angle is 6 cm, what is the length of the side opposite to the angle which measures 30°?

A circle is inscribed in a square. If the length of the diagonal of the square is 14√2 cm, what is the area of the circle?

In the following question, four number pairs are given. The number on left side of (–) is related to the number of the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

The angles of elevation of the top of a tower 72 metre high from the top and bottom of a building are 30° and 60° respectively. What is the height (in metres) of building?

In ΔABC measure of angle B is 90 deg. If tanA = 15/8, and AB = 0.8 cm, then what is the length (in cm) of side AC?

If one of the zeros of the quadratic polynomial (k - 1)x2 + kx + 1 is -3 then the value of k = ?