# Shortcut to solve syllogism by rules

## Day 1 Topic: Arrangement of Sentence (FIRST & LAST RULE)

Today we will discuss the basic methods that will help us in solving syllogisms in a fast and effective manner. The real rules will start from Day 3. But without the knowledge of the concepts that we will discuss today, you cannot move on to rules directly. So understand these concepts well.

**Basic Terms used in syllogism that we will follow in our post**

Sample example of sentence in Syllogism: Some A are B

**Entity/Term**: The terms between which relation is given is referred as entity. Here A and B are entity.**Relation**: Some, All, No, Some Not are examples of relation.**Proposition/Sentence**: The statement from which we have to derive the conclusion. We can refer to it by statement also in general.**Conclusion**: The derived solution from the proposition.

**The main concept of Syllogism: FIRST AND LAST RULE**

Our main aim in syllogism is to arrange the given proposition in such a way that the entities which are common in the multiple propositions always come together. Let’s understand it by an example.

**Example:** Consider these three statements:

But this may not be the case always. Some time in question, we may get propositions which are not arranged. We have to manually arrange them and then start solving the question. So we will use the FIST AND LAST RULE as our starting step in solving syllogism.

**FIRST & LAST RULE:** * The propositions should be arranged in such a manner that, the two entities between which the conclusion is to be found out should come at the beginning and at the last while the common term should be in middle.* i.e One should be come at the beginning and the other should be at the last.

**Example:** In the above example 1: The entity at the beginning is A and at the last is D. So using these three statements together we can find the relation between A and D.

If we consider only statements b) and c) then the first entity is B and Last entity is D. So using these two propositions we can find the relation between B and D.

If we consider only statement a) and b) then the FIRST entity is A and the last entity is B, so using these two together we can find the relation between A and B.

**We must note that in Example 1, the propositions are already arranged in the desired manner. But in reality it may not be arranged. We have to arrange them by using certain methods. We will discuss two methods to achieve this.**

**(i) Rearrangement of Proposition – Day 1**

** (ii) Reversal of Proposition – Day 2**

**(i) Rearrangement of Proposition**

First identify the common terms. And arrange them accordingly. With non-common entity at FIRST and LAST and the common entity coming together as shown in example 1 (b) highlighted entity B,B and C,C comes together. Example:

Now if we want to find relation between G and C, we will use just proposition (a) and (b)

If we want to find relation between F and Z, we will use the proposition (c) and (a)

For relation between F and C we will use all (c), (a) and (b).

**For concept of rearrangement to work, one of the common entity should be at the last of the proposition and the other should be starting.**

** Example:** All A are B. Some B are C. Here the common entity is B. It comes at the end in proposition 1 while at the start in Proposition 2.

** Example:** All A are B. Some A are C. Here the common term is A. But in both the proposition A is at the beginning. So in such case we cannot use the concept of rearrangement. The method to solve such a case will be discussed later.

**More Examples:**

**Exercise 1)** Arrange these propositions in such a way that common entity comes together:

(a) No tiger is lion

(b) Some elephant are tiger

(c) All lion are monkey

**Solution:** The common terms are tiger and lion. Arrangement is (b),(a),(c) i.e

Some elephant are **tiger**. No **tiger** is **lion**. All **lion** are monkey.

**Exercise 2)** Arrange these propositions in such a way that common entity comes together:

(a) Some red are blue

(b) All black are pink

(c) some blue are black

(d) No pink is violet

**Solution:** (a),(c),(b),(d)

so we have now

(a) Some red are blue

(c) some blue are black

(b) All black are pink

(d) No pink is violet

**Ques)** Which propositions are required to get a relation between blue and violet.

** Answer:** (c),(b),(d) [FIRST and LAST RULE] – The two entity between which relation is to be found out should come at beginning and at last.

**Ques)** Which propositions are required to get a relation between red and pink.

** Answer:** (a),(c),(b) [FIRST and LAST RULE

**LIMITATION of REARRANGEMENT**

Consider this example:

We will discuss the solution to this problem on Day 2.

** Exercise for the Day**

**Q1)** Arrange the given statement according to the FIRST & LAST rule to find a relation between CONE and RECTANGLE.

(a) All cones are cylinders.

(b) No square is a rectangle.

(c) All cylinders are squares.

**Q2)** Arrange the given statement according to the FIRST & LAST rule to find a relation between GRAPE and SWEET

(a) No orange is apple.

(b) All grapes are oranges.

(c) Some apples are sweet.

**Q3)** Arrange the given statement according to the FIRST & LAST rule to find a relation between PRETTY and BOYS

(a) All girls are pretty.

(b) Some smart are girls.

(c) Some boys are smart.

**Q4)** Arrange the given statement according to the FIRST & LAST rule to find a relation between BUSSES and PLANE

(a) No plane is metro

(b) All busses are rails.

(c) Some rail is plane.

**Q5)** Arrange the given statement according to the FIRST & LAST rule to find a relation between SILVER and PLATINUM

(a) No gold is silver.

(b) Some platinum is gold.

(c) Some silver are diamond.

**We will discuss Reversal of Preposition on Day 2. **

**Ask your doubt in comment section.**

**Thank You!!!!!**

Again gr8 initiative by shubra mam,,,,

Ty fr ur support:)

Thank you sir 🙂

thanku so much sir :))

ty sir 🙂

thank u suraj sir

thanku sir

In Exam main only ek hi option diya hta hai. Wha ye rule Kaise kaam aayega

Exam main Kaise karege is rule se venn Diagram phir bhi banana padhga

Jisse comfortable ho usi se karo

Ryt bro. Main soch rha ki ye rule main Bola kya gya hai.

Read the first paragraph :

Today we will discuss the basic methods that will help us in solving syllogisms in a fast and effective manner.

The real rules will start from Day 3. But without the knowledge of the concepts that we will discuss today, you cannot move on to rules directly. So understand these concepts well.So jaise jaise post ho rhi hai,, un posts ko samjho,, and till day 3 sab clear ho jayega.. and till day 6 sare cheeze aa jayegi.. abhi aage ka mat socho

Hmm GA

hmm GA

Ye bol rha ki is rule main kya Bola gya

ye bola gaya hai ki kis tarah se sentences ko arrange karna hai taki conclsuion mile

nhi samjh aaye to u can continue with venn

ty sir:))

Suraj der

haaa

Ek quant questions solve kr

https://uploads.disquscdn.com/images/b45db6a14f9e1f900527d10599076c93dc4242ff98d41bc93f57dd9e9c50fbc8.jpg

11th day?

Pata nai solution daal

a) 26th day

b)27the day

c)28th day

d)30th day

ha ruko ,, kuch gadbad kar diya

1hr le le

13 kaise

600 ko 45 se divide karo,, 13 something ayega… to bas 13 lo…

Phir double krna 26 aayega

haa

b) 27 days

work completed on first day by A and B= 6/240 + 4/300

on second day = 4/240 + 6/300

means total work completed in 2 days =1/40 + 1/75 + 1/60 + 1/50 = 45/600

this pattern will repeat

means in 26 days 45*13=585/600 work is completed

means reamining work = 15/600=3/120

now ab A ki bari hai work karne ki he can do this work in 3/120 *240/6 = 1 means in his complete time i.e 6 hours

so total day = 26+1 =27 days

Hmm *10hr consider nai kiya tha Maine first time got

240…………….300

…………1200

5………………4

A…….5*6=30

B===4*4==16………..

B===4*6=24

A===5*4=20

30+16+24+20==90 WORK IN TWO DAY

90*13===1170

13*2=26 DAY 6 HRS

a= 240 hr , b= 300 hr

tw= 1200

a= 5

b= 4

1st day = 5*6 + 4*4 = 46

2 nd day= 5*4 + 4*6 = 44

in 2 day = 90 unit

2*13 = 90*13

in 26 th day = 1170unit

so rest in 27th day..

YUP 16 JI JAGAH 6 LE LIYA :p TOTAL TABHI 80 AYA

🙂

26 DAY 6 HRS AYEGA MAY BE

13 kha ss

Total 1200 unit hai na to aisa multiple dhundo Jo iske equal ho ya kam

Read the following information carefully and answer the questions given below it:

Out of the total number of 7800 girls in a college, 15% are good at dancing and 20% of the number of girls good at dancing are also good in studies. 5% of the total number of girls in the college are good at drawing and 10% of the girls good at drawing are also good in studies. 35% of the total number of girls in the college are good at cooking and 20% of the girls good at cooking are also good in studies; also, 30% of the girls good at cooking are good at dancing but not good in studies. 10% of the total number of girls in the college are good only at singing. 25% of the total number of girls in the college are good at sports and 16% of the number of girls good at sports are also good at studies. Rest of the girls from the college are only good at studies..

All a is B. All a is c

Conclusions =all C is B?

false

If possiblty hti to

tab true hota…

Some bhi false hota na

some b is c ya some c is b true hota

Thanx sir

All B is c bhi false?

ha false

Read the following information carefully and answer the questions given below it:

Out of the total number of 7800 girls in a college, 15% are good at dancing and 20% of the number of girls good at dancing are also good in studies. 5% of the total number of girls in the college are good at drawing and 10% of the girls good at drawing are also good in studies. 35% of the total number of girls in the college are good at cooking and 20% of the girls good at cooking are also good in studies; also, 30% of the girls good at cooking are good at dancing but not good in studies. 10% of the total number of girls in the college are good only at singing. 25% of the total number of girls in the college are good at sports and 16% of the number of girls good at sports are also good at studies. Rest of the girls from the college are only good at studies.

Kaise krna ye total main se total nikalna

Some B are c

thanku sir 🙂

thks

Thanx sir