Aptitude and Reasoning Questions

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

Statements :
1. Some teacher are followers.
2. Some followers are famous.

Conclusions :
I. Some teachers are famous.
II. Some followers are teachers.

If a mirror is placed on the line MN, then which of the answer figures is the right image of the given figure?

Which answer figure will complete the pattern in the question figure?

If a3 + a - 1 = 0 then find the value of a6 + a4 + a - 2

In an isosceles triangle ABC, AB = AC and ∠A = 80°. The bisector of ∠B and ∠C meet at D. The ∠BDC is equal to

In a triangle the length of the side opposite the angle which measures 60° is 6√3 cm. What is the length of the side opposite to the angle which measures 90°? 

In 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) Children start writing with a pen in sixth standard.
(II) Ink pen is prescribed by most of the schools for school kids to write with as it maintains the handwriting and comfort of child.

Conclusions:
(I) Till fifth standard kids are unable to use pen on their own completely.
(II) Ink pen maintains a proper flow of ink on paper and takes less effort to put words on paper.

Which of the following cube in the answer figure cannot be made based on the unfolded cube in the question figure?