Quantitative Aptitude - Arithmetic Ability Questions

Two trains start moving from stations S and R. Both trains move towards each other at speeds of 35 km/hr and 42 km/hr respectively. When they meet each other, the second train has travelled 90 km more than the first. What is the distance (in km) between S and R?

If a + b = 10 and ab- 13 = -ba - 11, then what is the value of 3ab + 4a2 + 5b2 ?

What is the value of [sin (y – z) + sin (y + z) + 2 sin y]/[sin (x – z) + sin (x + z) + 2 sin x]?

If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 28090, and Rs 29775.4 respectively, what is the rate of interest?

What is the reflection of the point (5, -2) in the line x = -1?

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.

cosA/(1 -­ sin A) is equal to

ΔDEF is right angled at E. If m∠D = 45°, then find the value of (tanF + 1/3).