Aptitude and Reasoning Questions

If the ∠ABC and ∠ACB of triangle ABC is 80 deg and 60 deg respectively. If the Incenter of the triangle is at point ‘I’ then calculate angle BIC.

If ABCD is a Cyclic Quadrilateral, then the value of Cos2A - Cos2B - Cos2C + Cos2D is

The denominator of a rational number exceeds its numerator by 10. If the numerator is increased by 4 and the denominator is reduced by3, the number obtained is 5/6. The original rational number is

If sin ­-240° = x, then the value of x is

The graph shows the monthly expenditure of a company (unit = 10 lakhs). Study the graph and answer the questions.

The percentage of money spent on miscellaneous is

Consider the given statement/s to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement.

STATEMENT:

All plants are trees.
No tree is green.

Conclusion I: Some plants are green.
Conclusion II: Those plants which are not trees are green.

An auto-rickshaw picks a passenger and travels North 6.5 km, then it turns to its left and rides for another 1.5 km, then it turns South and rides for 2.5 km,then it turns to its left and rides 1.5 km. Where is the auto now with respect to its starting position?

A man leaves from his home for work on his motorcycle. He goes 5 km South, then turn to his left and travels 6 km, then turns South and travels 13 km then turns West and travels 6 km to reach his office. Where is his office with reference to his home?