Quantitative Aptitude - Arithmetic Ability Questions

Simple interest on a sum for 18 months at 14% per annum is Rs 1365.What is the value (in Rs) of sum?

If x2 + ax + b, when divided by x + 3, leaves a remainder of -1 and x2 + bx + a, when divided by x - 3, leaves a remainder of 39, then a+ b = ?

What is the value of [(cos 3θ + 2cos 5θ + cos 7θ)÷(cos θ + 2cos 3θ + cos 5θ)] + sin 2θ tan 3θ?

In the following question, four number pairs are given. The number on left side of (–) is related to the number on 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.

The radius of two circles is 3 cm and 4 cm. The distance between the centres of the circles is 10 cm. What is the ratio of the length of direct common tangent to the length of the transverse common tangent?

Find the odd word/letters/number pair from the given alternatives

Find the odd word/letters/number from the given alternatives.

Find the fraction which bears the same ratio to 1/27 that 3/7 does to 5/9 .