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Real-Life Logical Scenarios

Introduction

Real-life logical scenarios-ல், தினசரி வாழ்க்கையில் வரும் statements அல்லது குறுகிய situations கொடுக்கப்பட்டு, தெளிவான reasoning பயன்படுத்தி உறுதியான conclusions-ஐ எடுக்க சொல்லப்படும். இந்த problems, கண்டிப்பாக follow ஆக வேண்டியது மற்றும் வெறும் possible மட்டுமே என்பதற்கிடையிலான வேறுபாட்டை பிரித்தறிய உங்களை பயிற்சி செய்கின்றன - இது workplace reasoning, interviews, மற்றும் exams-க்கு மிகவும் முக்கியமான திறன்.

இந்த pattern முக்கியமானது; ஏனெனில், சொல்லப்படாத assumptions மற்றும் real-world alternatives இருக்கக்கூடிய practical contexts-ல், formal logical rules-ஐ எப்படி பயன்படுத்துவது என்பதைக் கற்றுத் தருகிறது.

Pattern: Real-Life Logical Scenarios

Pattern

முக்கிய கருத்து: practical statements-ஐ logical conditionals அல்லது categorical relations-ஆக மாற்றி, கொடுக்கப்பட்ட facts-இலிருந்து கட்டாயமாக follow ஆகும் conclusions-ஐ மட்டுமே deduce செய்வது.

necessity vs. possibility, sufficient vs. necessary conditions ஆகியவற்றில் கவனம் செலுத்தவும்; சொல்லப்படாத கூடுதல் facts-ஐ assume செய்ய வேண்டாம்.

Step-by-Step Example

Question

Passage:
“All employees who miss the weekly training must submit a make-up assignment. Employees who submit the make-up assignment get an attendance mark for that week. Anita missed the weekly training and submitted the make-up assignment on time.”

கீழ்கண்டவற்றில் எந்த conclusion கண்டிப்பாக follow ஆகிறது?
(A) Anita அந்த வாரத்திற்கான attendance mark-ஐ பெற்றார்.
(B) Training-ஐ தவறவிட்டதற்காக Anita-க்கு penalty விதிக்கப்படும்.
(C) Anita make-up assignment-ஐ submit செய்யவில்லை.
(D) Anita மற்ற trainings-களையும் தவறவிட்டார்.

Solution

  1. Step 1: Facts-ஐ translate செய்யவும்

    Training தவறவிட்டவர்கள் → make-up submit செய்ய வேண்டும். Make-up submit செய்தால் → attendance mark கிடைக்கும். Anita training தவறவிட்டு make-up submit செய்துள்ளார்.
  2. Step 2: Implications-ஐ chain செய்யவும்

    Anita make-up assignment-ஐ submit செய்துள்ளார் ⇒ கொடுக்கப்பட்ட rule-படி, அந்த வாரத்திற்கான attendance mark அவருக்கு கிடைக்கும்.
  3. Step 3: மற்ற options-ஐ eliminate செய்யவும்

    (B) Penalty பற்றி எதுவும் சொல்லப்படவில்லை; (C) கொடுக்கப்பட்ட fact-க்கு முரண்படும்; (D) passage-ல் support இல்லை.
  4. Final Answer:

    Anita அந்த வாரத்திற்கான attendance mark-ஐ பெற்றார் → Option A
  5. Quick Check:

    Missed → Submitted → Received mark. அனைத்து links-உம் stated ஆக உள்ளன, ஆகவே Option A கட்டாயமாக follow ஆகிறது ✅

Quick Variations

1. Workplace rules-ல் வரும் conditionals (உதா: “If X, then Y”) மற்றும் factual triggers.

2. சில facts implicit-ஆக இருக்கும் short narrative passages - கவனமாக translate செய்ய வேண்டும்.

3. possibility language (“may”, “might”) கலந்த scenarios; இவை uncertain (cannot determine) conclusions-க்கு வழிவகுக்கும்.

4. இறுதி definite outcome-க்கு வர, இரண்டு அல்லது மூன்று rules-ஐ இணைக்க வேண்டிய practical chains.

Trick to Always Use

  • Step 1: Passage-ஐ எளிய logical statements-ஆக மாற்றவும் (If P → Q; All A → B).
  • Step 2: கொடுக்கப்பட்ட concrete facts-இலிருந்து (யார் என்ன செய்தார்) தொடங்கி forward-ஆக நகரவும் - contrapositive explicitly valid அல்லாத வரை backward inference செய்ய வேண்டாம்.
  • Step 3: “இந்த conclusion facts-ஆல் கட்டாயப்படுத்தப்படுகிறதா?” என்று கேளுங்கள். இல்லை என்றால் uncertain என எடுத்துக்கொள்ளுங்கள்.

Summary

Summary

  • Practical sentences-ஐ முதலில் formal conditionals அல்லது categorical links-ஆக மாற்றவும்.
  • Stated facts-இலிருந்து forward-ஆக consequences chain-ஐ பின்பற்றவும்; காரணமில்லாத backward inferences-ஐ தவிர்க்கவும்.
  • Necessary (follow ஆகும்) மற்றும் possible (follow ஆகலாம் அல்லது இல்லாமலும் இருக்கலாம்) என்பவற்றை தெளிவாக வேறுபடுத்தவும்.
  • Premise-ல் uncertain language (may/might) இருந்தால், கூடுதல் facts ambiguity-ஐ நீக்கும் வரை conclusions-ஐ uncertain என குறிக்கவும்.

நினைவில் வைக்க வேண்டிய example:
If training தவறினால் ⇒ make-up submit; make-up submit ⇒ attendance mark. இரண்டும் given என்றால் ⇒ attendance mark கட்டாயமாக follow ஆகும். ✅

Practice

(1/5)
1. Passage:<br>“Employees who work beyond 8 hours in a day are eligible for overtime pay. Those who work on weekends are given an additional meal voucher. Riya worked for 10 hours on Saturday.”<br><br>Which of the following conclusions definitely follows?<br>(A) Riya will receive overtime pay but not a meal voucher.<br>(B) Riya will receive both overtime pay and a meal voucher.<br>(C) Riya will receive only a meal voucher.<br>(D) Riya will not receive any benefits.
easy
A. Riya will receive overtime pay but not a meal voucher.
B. Riya will receive both overtime pay and a meal voucher.
C. Riya will receive only a meal voucher.
D. Riya will not receive any benefits.

Solution

  1. Step 1: Identify rules

    Work > 8 hrs → Overtime Pay; Work on weekend → Meal Voucher.
  2. Step 2: Apply to Riya

    Riya worked 10 hrs (overtime) and on Saturday (weekend) ⇒ both conditions satisfied.
  3. Step 3: Deduce

    Riya receives both benefits.
  4. Final Answer:

    Riya will receive both overtime pay and a meal voucher → Option B
  5. Quick Check:

    Both criteria fulfilled ⇒ both rewards apply ✅
Hint: Combine all fulfilled conditions before deducing benefits.
Common Mistakes: Ignoring one of the overlapping conditions.
2. Passage:<br>“All online orders above ₹1,000 qualify for free shipping. Orders placed during a festival sale also get a 10% discount. Sneha placed an order worth ₹1,200 during the festival sale.”<br><br>Which of the following conclusions definitely follows?<br>(A) Sneha will receive free shipping and a 10% discount.<br>(B) Sneha will receive only free shipping.<br>(C) Sneha will not receive any benefit.<br>(D) Sneha will receive only a 10% discount.
easy
A. Sneha will receive free shipping and a 10% discount.
B. Sneha will receive only free shipping.
C. Sneha will not receive any benefit.
D. Sneha will receive only a 10% discount.

Solution

  1. Step 1: Identify rules

    ₹1,000+ → Free Shipping; Festival Sale → 10% Discount.
  2. Step 2: Apply

    ₹1,200 and during festival ⇒ both conditions satisfied.
  3. Step 3: Conclude

    Both benefits apply.
  4. Final Answer:

    Sneha will receive free shipping and a 10% discount → Option A
  5. Quick Check:

    Both price and sale criteria met ✅
Hint: Check eligibility under all stated conditions simultaneously.
Common Mistakes: Applying only one rule instead of combining both.
3. Passage:<br>“Students who complete all assignments get a participation certificate. Students with attendance above 90% receive a merit certificate. Ajay completed all assignments but attended only 80% of classes.”<br><br>Which of the following conclusions definitely follows?<br>(A) Ajay received a merit certificate.<br>(B) Ajay received a participation certificate.<br>(C) Ajay received both certificates.<br>(D) Ajay received no certificate.
medium
A. Ajay received a merit certificate.
B. Ajay received a participation certificate.
C. Ajay received both certificates.
D. Ajay received no certificate.

Solution

  1. Step 1: Decode conditions

    All Assignments → Participation Certificate; 90%+ Attendance → Merit Certificate.
  2. Step 2: Apply

    Ajay completed assignments (✔) but attendance = 80% (✖).
  3. Step 3: Deduce

    Ajay receives only participation certificate.
  4. Final Answer:

    Ajay received a participation certificate → Option B
  5. Quick Check:

    Meets first rule, fails second ✅
Hint: Apply each rule independently before combining results.
Common Mistakes: Assuming completion equals high attendance.
4. Passage:<br>“Any employee who completes one year of service is eligible for a bonus. Employees who exceed their performance targets receive an additional 5% incentive. Meera has worked for 14 months and exceeded her targets.”<br><br>Which of the following conclusions definitely follows?<br>(A) Meera will receive a bonus but not the incentive.<br>(B) Meera will receive only the incentive.<br>(C) Meera will receive both the bonus and the incentive.<br>(D) Meera will not receive any extra benefits.
medium
A. Meera will receive a bonus but not the incentive.
B. Meera will receive only the incentive.
C. Meera will receive both the bonus and the incentive.
D. Meera will not receive any extra benefits.

Solution

  1. Step 1: Define conditions

    1 year service → Bonus; Exceed target → +5% incentive.
  2. Step 2: Apply to Meera

    She satisfies both rules (worked 14 months + exceeded targets).
  3. Step 3: Deduce

    She receives both bonus and incentive.
  4. Final Answer:

    Meera will receive both the bonus and the incentive → Option C
  5. Quick Check:

    Both eligibility conditions met ✅
Hint: When both conditions hold true, combine their rewards.
Common Mistakes: Missing secondary condition when both are satisfied.
5. Passage:<br>“Customers who register for membership receive a welcome coupon. Members who shop within a week of registration get additional loyalty points. Rahul registered for membership but has not made any purchases yet.”<br><br>Which of the following conclusions definitely follows?<br>(A) Rahul received a welcome coupon but no loyalty points.<br>(B) Rahul received loyalty points but no coupon.<br>(C) Rahul received both coupon and points.<br>(D) Rahul received neither coupon nor points.
medium
A. Rahul received a welcome coupon but no loyalty points.
B. Rahul received loyalty points but no coupon.
C. Rahul received both coupon and points.
D. Rahul received neither coupon nor points.

Solution

  1. Step 1: Decode conditions

    Membership → Welcome Coupon; Purchase within 1 week → Loyalty Points.
  2. Step 2: Given facts

    Rahul registered (✔) but didn’t purchase (✖).
  3. Step 3: Deduce

    He receives the welcome coupon only.
  4. Final Answer:

    Rahul received a welcome coupon but no loyalty points → Option A
  5. Quick Check:

    One condition true ⇒ one benefit ✅
Hint: Separate direct cause-effect chains before combining them.
Common Mistakes: Assuming one condition auto-triggers another reward.

Mock Test

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