Home
Class 14
MATHS
Read the given statement(s) and conclusi...

Read the given statement(s) and conclusions carefully and select which of the conclusions logically follow(s) from the statement(s).
Statements:
All biscuits are millets
All millets are grains
Conclusions:
1. All biscuits are grains
2. All grains are millets

A

Only conclusion 1 follows

B

Only conclusion 2 follows

C

None of the conclusions follow

D

Both the conclusions follow

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we will analyze the given statements and conclusions step by step using logical reasoning and Venn diagrams. ### Step 1: Understand the Statements We have two statements: 1. All biscuits are millets. 2. All millets are grains. ### Step 2: Visualize with Venn Diagrams - Draw a circle for "millets" and place a smaller circle inside it for "biscuits" to represent that all biscuits are included in millets. - Now, draw a larger circle that encompasses the "millets" circle to represent "grains," indicating that all millets fall within the category of grains. ### Step 3: Analyze the Conclusions Now, we will evaluate the conclusions based on the Venn diagram. **Conclusion 1:** All biscuits are grains. - Since all biscuits are inside the millets circle, and all millets are inside the grains circle, it logically follows that all biscuits are also inside the grains circle. Therefore, this conclusion is true. **Conclusion 2:** All grains are millets. - This conclusion states that every grain is a millet. However, from our Venn diagram, we can see that there are parts of the grains circle that are not overlapping with the millets circle. Thus, this conclusion is false. ### Step 4: Final Decision Based on our analysis: - Conclusion 1 is true. - Conclusion 2 is false. Thus, the correct answer is that only conclusion 1 follows from the statements. ### Summary of the Solution - **Conclusion 1:** True (All biscuits are grains). - **Conclusion 2:** False (Not all grains are millets).
Promotional Banner

Similar Questions

Explore conceptually related problems

Read the given statement(s) and conclusions carefully and select which of the conclusions logically follow(s) from the statement(s). Statement : All gifts are dolls. All dolls are toys. Conclusions : 1. All gifts are toys. 2. Some toys are gifts

Read the given statements and the following conclusions carefully and select which of the conclusions logically follow(s) from the statements Statements: All locusts are insects. All insects are worms Conclusions: 1. All locusts are worms. 2. All insects are locusts.

Read the given statements and conclusions carefully and select which of the conclusions logically follow(s) from the statements. Statements: 1. All buses are cars. 2. All ships are cars Conclusions: I. All cars are ships II. All buses are cars

Read the given statement(s) and conclusions carefully and select which of the conclusions logically follow(s) from the statement(s). Statement : All brooms are plastic. All plastics are handles. Conclusions : 1. All brooms are handles. 2. No plastic is a broom.

Read the given statements(s) and conclusions carefully and select which of the conclusions logically follow(s) from the statement(s). Statement : No men are strong X is a man Conclusions: 1. X is not strong. 2. All men are X.

Read the given statement(s) and conclusions carefully and select which of the conclusions logically follow(s) from the 4 statements). Statements: I. All snakes are poisonous. II. All poisonous are reptiles. Conclusions: 1. All snakes are reptiles. 2. Some reptiles are poisonous

Read the given statement(s) and conclusions carefully and select which of the conclusions logically follow(s) from the 2 statement(s). Statement: All vitamins are proteins. All proteins are fruits Conclusions: 1. Some vitamins are not fruits 2. Some fruits are vitamins

Read the given statement(s) and conclusions carefully and select which of the conclusions logically follow(s) from the statement(s). Statement : * All pink are flowers. * All flowers are fragrant. Conclusions : 1. Some flowers are pink. 2. Some fragrant are flowers.

Read the given statement(s) and conclusion carefully and select which of the conclisions logically follow(s) from the statemsent(s). Statements : I. All gadgets are electronics. II. All electronics are chips. Conclusions : 1. All gadgets are chips. 2. Some chips are electronics