I. a2-7a+12 = 0,

II. b2-3b+2 = 0

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

Below are given statements followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance with the commonly known facts and then decide which of the given conclusions logically follow(s) from the given statements.

Statements :

A. Some fruits are vegetables

B. All vegetables are plants

Conclusions :

I. Some plants are vegetable

II. Some fruits are plants

Given below is a statement followed by some conclusions. You have to take the given statement to be true even if it seems to be at variance with the commonly known facts and then decide which of the given conclusions logically follow(s) from the given statement.

Statement :

Success cannot be achieved without hard work.

Conclusions :

I. Every hardworking person is successful.

II. Every successful person is hardworking.

Given below are statements. You have to take the given statement to be true even if it seems to be at variance with the commonly known facts and then decide which of the given conclusion logically follow(s) from the given statement.

Statements :

I. All rats are hills.

II. All hills are rivers.

Given below is a statement followed by some conclusions. You have to take the given statement to be true even if it seems to be at variance with the commonly known facts and then decide which of the given conclusion logically follow(s) from the given statement.

Statement :

In some tier 2 cities in India, transportation is one of the major problems.

Conclusions :

I. All tier 2 cities are not well connected.

II. Lack of transportation facilities is the only problem in Indian metros.

Given below is a statement followed by some conclusions. You have to take the given statement to be true even if it seems to be at variance with the commonly known facts and then decide which of the given conclusions logically follow(s) from the given statement.

Statement :

According to a recent health survey, people who exercise for atleast half an hour every day are less prone to life style diseases.

Conclusions :

I. Moderate exercise is essential to lead a healthy life.

II. Everyone with no exercise on their routine suffer from lifestyle diseases.

Consider the given question and decide which of the following statements is sufficient to answer the question.

What is the value of 14$20*8#4?

Statements :

1. $ implies -, * implies +, # implies /

2. 14$20*8 = 25

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

Statements :

All sharks are fish. No fish is a snake.

Conclusions :

1. No snake is a shark.

2. No shark is a snake.

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

Statement :

Many people living in villages relocate to cities for a better future.

Conclusions :

1. Government officers should have compulsory rural posting.

2. Increase more transport facilities between cities and villages.