You are given a question and two statements. Identify which of the statements is/are necessary,Sufficient to answer the question.
M, A, N and K are standing in a row. Based on the following information, if we aimnge shortest to tallest, who is standing last?
Statements:
1. A is shorter than K
2. M is shorter than A

Statements followed by some conclusions are given below.

Statements :

1. X is 7 meters tall, Y is half as high and Z is 3 times the height of X.

2. P is taller than Z but shorter than A and B.

Conclusions :

I. B s the tallest of all.

II. The average height of X, Y and Z is less than 10 meters.

Find which of the given conclusions logically follows from the given statements.

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: All napkins are towels

Statement II: All rags are napkins

Conclusion I: Some towels are rags

Conclusion II: All rags are towels

Read the information carefully and select the correct option.

Offer A : Buy one item for Rs. 1599/- and get one free.

Offer B : Buy one item for Rs. 999/- and get another at 50% discount.

Statements followed by some conclusions are given below.

Statements :

1. Some electricians are plumbers.

2. All plumbers are mechanics.

Conclusions :

I. Some mechanics are electricians or plumbers.

II. Not all electricians are mechanics.

Find which of the given conclusions logically follows from the given statements.

Statements followed by some conclusions are given below.

Statements :

1. Some football players are cricketers.

2. All hockey players love football though some are cricketers.

Conclusions :

I. Some hockey players who are cricketers play football too.

II. There is at the most one cricketer who plays football and hockey.

Find which of the given conclusions logically follows from the given statements.

Consider the given statements to be true and decide which of the conclusions logically follow(s) from the statements.

Statement:

China is a communist country.

Conclusions:

1. No country in the world has a communist rule.

2. Many other countries in the world have a communist rule.

Consider the given statement as true and decide which of the given conclusions can definitely be drawn from the given statements.

Statement:

No dog is a cat.

Some cats are rats.

All rats are pigs.

Conclusions:

1. All dogs are rats

2. All pigs are rats

3. Some pigs are cats

4. No pig is a dog

Read the following question and decide which of the given statements is/are sufficient.

.
In a class of 50 students, how many girls scored above 80% in Maths?

Statements:

1. Exactly four boys scored above 80% in Maths.

2. One-third of the class scored above 80% in Maths