Aptitude and Reasoning Questions

One or two statements are given followed by two or more conclusions/assumptions, I, II, III, IV. You have to consider the statement to be true, even if it seems to be at variance from commonly known facts. You are to decide which of the given conclusions/assumptions can definitely be drawn from the given statement.

Statement:
1. All goats are tigers.
2. All tigers are lions.

Conclusion:
I. All tigers are goats.
II. All lions are tigers.
III. No goat is a lion.
IV. No lion is a goat.

A, B and C can complete a task together in 10 days. A and B would need 12 days if only the two of them worked, while B and C would take 20 days if only the two of them worked. If B worked alone, how many days would she take to complete the task?

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.

If 3√7 + √343 = 19.21, then find the value of √252 + 20√7.

In ΔUVW measure of angle V is 90 deg. If sinU = 24/25, and UV = 0.7cm, then what is the length (in cm) of side VW?

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

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.

Statements:
(I) All dogs are rats.
(II) Some rats are lizards.

Conclusion:
(I) Some dogs are lizards.
(II) Some lizards are dogs.

In what ratio is the segment joining (-1, 3)and (2,-4) divided by the Y axis?