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Lesson Posted on 20/06/2017 Tuition/Class IX-X Tuition Exam Coaching/Engineering Entrance Coaching/IIT JEE Coaching Exam Coaching/Engineering Entrance Coaching/IIT JEE Coaching/Physics

Ajinkya

Three small snails are each at a vertex of an equilateral triangle of side 60 cm. The first sets out towards the second, the second towards the third and the third towards the first, with a uniform speed of 5 cm/min. During their motion, each of them always heads towards its respective target snail.... read more

Three small snails are each at a vertex of an equilateral triangle of side 60 cm. The first sets out towards the second, the second towards the third and the third towards the first, with a uniform speed of 5 cm/min. During their motion, each of them always heads towards its respective target snail. How much time has passed, and what distance do the snails cover before they meet?

Answer: Resolve the velocity of snail 2 into a component pointing towards snail 1 and a component perpendicular to this. These two snails approach each other at a relative speed of v+V/2=3v/2=7.5cm/min, and therefore they meet after a time given by 60/7.5=8min.

They must all meet after this time and as they actually travel at a speed of 5 cm/min, they each cover a distance of 40 cm before doing so.

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Comments Lesson Posted on 06/02/2017 Exam Coaching/Bank Clerical Exam Coaching Exam Coaching/CET Coaching Exam Coaching/IBPS Exam Coaching

Ashish Vastri

I am teaching Maths since 4 years and I have taught from Basics to advance mathematics. I am an avid...

Syllogism Tricks Syllogism is a major part of reasoning in various competetive exams. It's simple but brain teaser too. Most of the students find it difficult to learn the concepts of venn diagram and apply accurately to questions. I would try to help you all with some useful concepts and tricks that... read more

**Syllogism Tricks **Syllogism is a major part of reasoning in various competetive exams. It's simple but brain teaser too. Most of the students find it difficult to learn the concepts of venn diagram and apply accurately to questions.

I would try to help you all with some useful concepts and tricks that you may apply in competitive exams.

All of these tricks will surely help you in Banking, Railways, SSC, NDA, MBA and many other exams.

**All + All = All**

**All + No = No**

**All + Some = No conclusion **

**Some + All = Some**

**Some + No = Some not**

**Some + Some = No conclusion **

**No + All = Some not (Reversed) **

**No + Some = Some not (Reversed )**

**No + No = No conclusion **

**Note:**

**Some not/ Some Not Reversed + Anything = No conclusion **

To solve syllogism questions you may take help of two types of cancellation :

- Cross Cancellation
- Vertical Cancellation

**Cross Cancellation**

** STATEMENTS**

- All pens are Erasers
- All Erasers are Books
- No book is Table

**CONCLUSIONS**

- No Eraser is table

**All + No = No**

All Erasers are **books**

No **book** is a Table

If we will cross cancel books, we get

CONCLUSION: No Eraser is table .

Hence conclusion follows

**Vertical Cancellation **

**STATEMENTS **

- Some apples are fruits
- All bananas are fruits

**CONCLUSION**

- No banana is apple

**All + Some = No conclusion **

Some apples are fruits

All bananas are fruits

Here we can cancel fruits vertically but the direction of adding will get Reversed , i.e. Conclusion will be ALL + Some = No conclusion

Hence, Conclusion 1 doesn't follow.

There are more key points regarding Syllogism which I will post in next lesson.

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Comments Answered on 19/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Mathematical Reasoning

Change the statement to negative statement: p - New Delhi is a city?

Manan Kenia

Internal Auditor, Financial Analyst

New Delhi is not a village.

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Answers 1 Comments Answered on 19/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Mathematical Reasoning

Write the negation of the given statement: root 7 is a rational number?

Prateek Chandna

Assistant Professor

No, irrational.

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Answers 1 Comments Answered on 07/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Mathematical Reasoning

What do you mean by compound statement with respect to mathematical reasoning?

Sreedevi A.

Teacher

When two simple statements are joined by using connectives like ^,V, implication,bi implication and negation a compound statement is formed.

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Answers 1 Comments Answered on 08/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Mathematical Reasoning

Fill up a statement which having a relation: Window is to pane as book is to____?

Shreyans

Software Engineer

Cover.

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Answers 1 Comments Answered on 28/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Mathematical Reasoning

What number should come next in the given series: 2, 1, (1 / 2), (1 / 4), ?. ?

Tapas Bhattacharya

Tutor

1/8

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Answers 2 Comments Asked on 09/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Mathematical Reasoning

Check whether the given sentence is statement: 8 is less than 6?

Answer

Asked on 09/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Mathematical Reasoning

Define Validating Statement?

Answer

Asked on 09/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Mathematical Reasoning

Show that the statement: p: If x is a real number such that: (square of x) + 4x = 0, then x is 0 is... read more

Show that the statement: p: ? If x is a real number such that: (square of x) + 4x = 0, then x is 0 is true by direct method? read less

Answer

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