Quantitative Aptitude - Arithmetic Ability Questions

An angle is smaller than its supplementary angle by 70°. What is the measure of the angle?

If 4(2x - ­4) -­ 2 > 3x -­ 1 ≥ 4x - ­7, then x can take which of the following values?

If Cot θ = 24/7, then what is the value of Sec θ?

What is the value of tan 6° tan 36° tan 84° tan 54° tan 45°?

Points P , Q and R are on a circle such that ∠PQR = 40° and ∠QRP = 60° . Then the subtended angle by arc QR at the centre is

The ratio of spirit and water in the two vessels is 5 : 1 and 3 : 7 respectively. In what ratio the liquid of both the vessels should be mixed such that a new mixture containing half spirit and half water is obtained?

A batsman in his 12th innings makes a score of 120, and thereby increase his average by 5. The average score after 12th innings is

If 169 is subtracted from the square of a number, then the result obtained is 7056. What is the number?