I. a2-7a+12 = 0,

II. b2-3b+2 = 0

Solve both the equations to find the values of a and b  ?

Read the following statements and the conclusions that follow. Decide which of the two conclusions follow from the given statements.

Statements:
• All swans are parrots.
• No parrot is a cuckoo.

Conclusions:
1. No swan is a cuckoo.
2. All parrots are swans.

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) All radios are electric goods.
(II) All table­lamps are electric goods.

Conclusions:
(I) Some radios are table­lamps.
(II) Some table lamps are radios.

In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems 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:
No books are notebooks
Statement II:
All diaries are books

Conclusion I:
No notebooks are diaries
Conclusion II:
All diaries are notebooks

The question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in which of the statements are sufficient to answer the question. Choose your answer from the options based on this.

H is the mother of T. How is T related to W?

I. W is the only daughter of H

II. W is the sister of T.

The question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in which of the statements are sufficient to answer the question. Choose your answer from the options based on this.

Six persons Akhilesh, Bhavesh, Cindy, Divakar, Erika and Farheen are having different heights. Who among the following is the tallest person?

I. Only two persons are taller to Bhavesh but only one person is shorter to Erika. Akhilesh is taller to Cindy but not the tallest.

II. Divakar is taller to Akhilesh but shorter to Farheen. Akhilesh is taller to Cindy but shorter to Bhavesh.

The following question consists of four statements followed by two conclusions. Consider the statements to be true even if they vary from commonly known facts and find out which of the conclusions logically follow(s).

Statements:
All papers are books.
All pencils are pens.
No paper is pencil.
No stationary is book.

Conclusions:
I. Some papers are stationary is a possibility.
II. Some pens are books as well as papers.

In the question below are given three statements followed by two conclusions which are numbered as I, and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements, disregarding commonly known facts.

Statements:
Some pages are papers.
No page is a book.
All books are pencils.

Conclusions:
I. All books can never be papers.
II. All pencils are papers is a possibility.

The question below has three statements followed by two conclusions numbered I and II. You have to take the three given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:
Some rings are bracelets.
All bracelets are earrings.
All earrings are necklaces.

Conclusions:
I. All those bracelets which are earrings can never be a ring is a possibility.
II. There is a possibility that all rings are necklaces.