Quantitative Aptitude - Arithmetic Ability Questions

From an external point two tangents to a circle are drawn. The chord passing through the points of contact subtends an angle72° at the centre. The angle between the tangents is?

Four pairs of words are given. Find the odd one out.

The value of the expression 2(sin6θ+cos6θ) - 3(sin4θ+cos4θ) + 1 is

The mid points of AB and AC of the Δ ABC are P and Q respectively. If PQ = 6 cm, then the side BC is

Qamar gained 16% on the resale of a used stereo. If he purchased the item for Rs. 1500, how much did he sell it for?

Three years ago, the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family is the same today. The present age of the baby is

Two water squash mixtures, the first with a water-to-squash ratio of 5:1 and the letter with a ratio of 3:1 are blended in the ratio 3:2. What is the final water : squash ratio in the blend?

A batsman makes a score of 111 runs in the 10th match and thus increases his average runs per match by 5. What will be his average after the 10th match?