Aptitude and Reasoning Questions

The average marks of 10 students in an examination was 25. It was later found that the marks of one student had been wrongly entered as 34 instead of 43. What is the correct average?

From the top of a 20 m high building, the angle of elevation of the top of a tower is 60° and the angle of depression of it's foot is at 45°, then the height of the tower is (√3=1.732)

the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement:
(I) Kids rejoice with toys and toys give them new opportunities to think in various ways.
(II) Toys are non-living things that create a virtual world around kids to think and perceive in various ways.

Conclusions:
(I) If children don't play with toys some part of the personality is underdeveloped.
(II) Toys are mandatory and undetachable part of their personality.

The point of intersection of all the angle bisector of a triangle is ______ of the triangle.

The question given below consists of a statement, followed by two arguments numbered I and II. You have to decide which of the arguments is a 'strong' argument and which is a 'weak' argument.
Statement:

Should women be allowed into combat arms if they meet all standards?
Arguments:
I. Yes, women have already proven competence in combat – they have already been exposed to combat in Iraq and Afghanistan, so it makes no sense to officially continue excluding them.
II. No, the average female is physically weaker than the average male.

ΔABC is a right angled triangle, the radius of its circumcircle is 3 cm and the length of its altitude drawn from the opposite vertex to the hypotenuse is 2 cm. Then the area of the triangle is

If 879= 8, 625= 1, 586= 9, then 785 = ?

The following is a map showing a route for a cycle race. The route starts and goes 12 km East, then there is a turn towards North where the route goes on for 5 km, then there is a turn towards East where the route goes on for 11 km, then there is a right turn from where the route goes on 5 km to reach the end. What is the position of the end with respect to that start?