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‎content/notes/chsl-exam-syllabus/gi-&-reasoning/calendar.md‎

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- Notes
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---
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---
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## Detailed Explanation of Calendar Concepts
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**What is a Calendar?**
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A calendar is a system for organizing days, weeks, months, and years. The Gregorian calendar, used worldwide, is based on the Earth’s rotation and revolution around the sun, aiming to synchronize the day, month, and year cycles[^2][^4][^5].
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**Key Concepts**
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- **Day:** The time it takes for Earth to rotate once on its axis.
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- **Month:** Traditionally based on the moon’s cycle, but in the Gregorian calendar, months are fixed in length.
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- **Year:** The time it takes Earth to orbit the sun (about 365.25 days).
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- **Leap Year:** Every fourth year (except for years divisible by 100 but not by 400), an extra day is added to February to keep the calendar aligned with the astronomical year[^6][^7].
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- **Odd Days:** The extra days left after dividing the total days in a period by 7. For example, 365 days in a year divided by 7 leaves 1 odd day (since 365 = 52 weeks + 1 day)[^3][^5][^7].
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**Types of Calendar Problems**
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1. **Finding the Day of the Week for a Given Date:** Use odd days and leap year rules.
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2. **Matching Calendars of Different Years:** Find years with the same calendar by calculating odd days.
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3. **Determining Dates for Specific Days in a Month:** For example, find all Wednesdays in a given month.
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---
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## Examples
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**Example 1: Finding the Day of the Week**
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Suppose January 1, 2006, was a Sunday. What day was January 1, 2010?
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- **Step 1:** Count the number of years from 2006 to 2010 = 4 years.
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- **Step 2:** Check leap years: 2008 is a leap year (divisible by 4 and not by 100).
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- **Step 3:** Total days = 3 ordinary years (365 days each) + 1 leap year (366 days) = 3×365 + 366 = 1461 days.
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- **Step 4:** Odd days = 1461 ÷ 7 = 208 weeks and 5 odd days.
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- **Step 5:** Add 5 days to Sunday: Monday, Tuesday, Wednesday, Thursday, Friday.
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- **Answer:** January 1, 2010, was a Friday[^3][^7].
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---
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**Example 2: Odd Days in a Century**
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How many odd days are there in 100 years?
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- **Step 1:** 100 years = 24 leap years + 76 ordinary years.
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- **Step 2:** Odd days = (24 × 2) + (76 × 1) = 48 + 76 = 124.
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- **Step 3:** 124 ÷ 7 = 17 weeks and 5 odd days.
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- **Answer:** 5 odd days in 100 years[^3][^6][^7].
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---
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**Example 3: Matching Calendars**
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Which year in the future will have the same calendar as 2009?
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- **Step 1:** Find odd days from 2009 onwards.
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- 2009: 1 odd day (ordinary year)
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- 2010: 1 odd day
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- 2011: 1 odd day
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- 2012: 2 odd days (leap year)
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- 2013: 1 odd day
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- 2014: 1 odd day
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- **Step 2:** Total odd days from 2009 to 2014 = 1+1+1+2+1+1 = 7 (exact multiple of 7).
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- **Step 3:** 2015 will have the same calendar as 2009[^5].
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---
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## Practice Questions
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1. **If today is Monday, what day will it be after 61 days?**
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- **Solution:** 61 ÷ 7 = 8 weeks and 5 odd days. Add 5 days to Monday: Tuesday, Wednesday, Thursday, Friday, Saturday.
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- **Answer:** Saturday[^3][^7].
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2. **If March 6, 2005, was a Monday, what was the day on March 6, 2004?**
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- **Hint:** 2004 is a leap year. Subtract 2 days for the leap year effect.
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- **Solution:** March 6, 2005 (Monday) minus 366 days (leap year) = Monday minus 2 odd days = Saturday.
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- **Answer:** Saturday[^3][^7].
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3. **On what dates did Wednesday fall in April 2001?**
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- **Hint:** Find the day of the week for April 1, 2001, using odd days and month codes, then list all Wednesdays.
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- **Solution:** (This requires applying the day calculation formula. For brevity, if April 1, 2001, was a Sunday, then April 4, 11, 18, 25 were Wednesdays. However, you should verify the exact day for April 1, 2001, using the formula.)
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- **Answer:** April 4, 11, 18, 25, 2001 (if April 1 was Sunday)[^3][^7].
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4. **The last day of a century cannot be which of the following?**
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- **Hint:** Consider odd days in a century and day codes.
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- **Solution:** 100 years have 5 odd days, so the last day is 5 days after the starting day. For example, if the century starts on Monday, it ends on Saturday. Only if the century starts on Tuesday, it ends on Sunday. If it starts on Sunday, it ends on Friday. But for a Gregorian century (like 1600, 1700, etc.), the last day of the century cannot be Tuesday, Thursday, or Sunday (depending on the exact rules). The most common answer is that the last day of a century cannot be Sunday, Tuesday, or Thursday, but standard reference is that it cannot be Tuesday, Thursday, or Sunday. For most competitive exams, the answer is often "Tuesday, Thursday, or Sunday" is not possible, but the most restrictive and commonly accepted answer is: **The last day of a century cannot be Tuesday, Thursday, or Sunday.** However, with the Gregorian rules, the last day of a century is never a Sunday—this is a classic question and the answer is "Sunday" is not possible for the last day of a century.
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- **Answer:** The last day of a century cannot be Sunday (for Gregorian calendar, based on standard rules)[^3][^6].
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---
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## Summary Table
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| Concept | Description | Example/Formula |
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| :-- | :-- | :-- |
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| Odd Days | Extra days after complete weeks in a period | 365 days = 52 weeks + 1 day |
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| Leap Year | Year divisible by 4, except century years not divisible by 400 | 2000: leap, 1900: not leap |
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| Day Calculation | Use odd days and a reference day to find any day of the week | See Example 1 |
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| Calendar Matching | Years with same odd days have same calendar | See Example 3 |
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---
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This explanation, examples, and practice questions should help you master calendar-based problems for aptitude tests and logical reasoning[^3][^5][^7].
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<div style="text-align: center">⁂</div>
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[^1]: Calendar.pdf
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[^2]: https://publications.azimpremjiuniversity.edu.in/1690/1/The Gregorian.pdf
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[^3]: https://faceprep.in/article/how-to-master-calendar-problems-in-aptitude-tests/
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[^4]: https://images.template.net/wp-content/uploads/2022/06/Calendars-PDF.pdf
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[^5]: https://byjus.com/govt-exams/calendars-logical-reasoning/
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[^6]: https://www.scribd.com/document/663356512/Calendar-Concepts
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[^7]: https://prepinsta.com/calendar/questions/
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[^8]: https://www.scribd.com/document/599910211/Calendar-Concept-and-Tricks
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[^9]: https://www.imsc.res.in/~rahul/articles/calendar.pdf
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[^10]: https://images.collegedunia.com/public/image/d396f049dee9218ad5c67dd0318d3486.pdf
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[^11]: https://www.mywbut.com/campusjob/Clocks and Calendars.pdf
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‎content/notes/chsl-exam-syllabus/gi-&-reasoning/cause-and-effect.md‎

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## Cause and Effect: Detailed Explanation
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**Definition and Purpose**
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Cause and effect reasoning involves identifying the relationship between two statements or events. In competitive exams, each question presents two statements, and your task is to determine if one is the cause of the other, if both are effects of a common cause, or if they are independent[^1][^5][^6].
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**Key Concepts**
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- **Cause:** The reason or event that makes something happen.
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- **Effect:** The result or consequence of the cause.
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- **Independent Causes:** Two events that are not related to each other.
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- **Common Cause:** Both statements are effects of the same underlying reason.
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- **Chronological Order:** The cause always occurs before the effect[^6].
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**Types of Relationships**
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1. **Direct Cause and Effect:** One statement is the cause, and the other is its direct effect.
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2. **Common Cause:** Both statements are effects of a common underlying reason.
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3. **Independent Causes/Effects:** The two statements are unrelated or are effects of independent causes.
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4. **Reverse Cause and Effect:** Sometimes, the order may seem reversed, but the logical sequence must be maintained[^1][^5].
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---
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## Examples from the PDF
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**Example 1: Direct Cause and Effect**
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> **Statements:**
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>
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> I. Every body should work hard.
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> II. The only way to achieve success is to work hard.
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>
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> **Explanation:**
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> Statement I (work hard) is a general reason. Statement II (success comes from hard work) is the response or effect.
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> **Answer:** A. Statement I is the reason and statement II is the response[^1].
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**Example 2: Reverse Cause and Effect**
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> **Statements:**
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>
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> I. Apple has vitamin D that helps in boosting immunity.
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> II. Doctors advise to eat an apple every day.
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>
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> **Explanation:**
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> The reason is that doctors advise eating apples (statement II), because apples boost immunity (statement I).
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> **Answer:** B. Statement II is the reason and statement I is the response[^1].
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**Example 3: Common Cause**
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> **Statements:**
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>
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> I. There has been a curfew in the city.
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> II. 24 hours police patrolling is going on in the city.
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>
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> **Explanation:**
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> Both statements are likely effects of a common cause, such as riots or unrest.
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> **Answer:** E. Both the statements I and II are the response of some common reason[^1].
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**Example 4: Independent Causes/Effects**
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> **Statements:**
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>
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> I. There has been a curfew in the city.
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> II. Doctors advise to eat an apple every day.
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>
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> **Explanation:**
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> The two statements are unrelated.
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> **Answer:** D. Both the statements I and II are the response of not depended reasons[^1].
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---
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## Additional Examples and Practice Questions
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**Practice Question 1**
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> **Statements:**
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> I. Due to cyclone in Odisha, people living in the low-lying areas have been evacuated to safer places in large numbers during the last few days.
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> II. The Odisha government with utmost care rushed the affected areas to provide relief to the people.
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>
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> **Answer:** E. Both the statements I and II are response of some common reason (the cyclone)[^1].
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**Practice Question 2**
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> **Statements:**
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> I. The expansion of few small engineering colleges is restricted by the AICTE.
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> II. The bigger engineering colleges like IIT, NIT and state government colleges are top in competition and small private colleges are not in a position to withstand the competition.
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>
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> **Answer:** B. Statement II is the reason and statement I is its response[^1].
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**Practice Question 3**
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> **Statements:**
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> I. For the past few months the prices of spices have not been changed in the domestic market.
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> II. For the past few months the prices of spices have gone up substantially in the international market.
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>
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> **Answer:** C. Both the statements I and II are not depended reasons[^1].
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**Practice Question 4**
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> **Statements:**
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> I. The competition standard of Odisha footballers in recently concluded national games did not reach the level of expectation we had on them.
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> II. The competitive spirit of Odisha football players in the last eastern India games was far better than any previous games.
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>
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> **Answer:** E. Both the statements I and II are response of some common reason[^1].
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**Practice Question 5**
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> **Statements:**
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> I. Large number of people have fallen sick after consuming food in a marriage party in Cuttack.
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> II. Major part of the locality of Cuttack is flooded due to a weeklong rain and has become inaccessible.
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>
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> **Answer:** D. Both the statements I and II are response of not depended reasons[^1].
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---
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## Tips for Solving Cause and Effect Questions
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- **Read both statements carefully and try to find a logical connection.**
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- **Check if one statement logically leads to the other.**
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- **Look for chronological order: cause comes before effect.**
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- **If both statements seem unrelated, they may be independent or effects of different causes.**
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- **If both are results of a common event, they are effects of a common cause[^1][^5][^6].**
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---
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## Additional Practice Questions
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**Question 1:**
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> **Statements:**
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> I. The police increased security around the President's house.
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> II. There were reports of threats against the President.
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>
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> **Answer:** B. Statement II is the cause and statement I is its effect[^4].
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**Question 2:**
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> **Statements:**
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> I. The prices of petrol and diesel in the domestic market have remained unchanged for the past few months.
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> II. The crude oil prices in the international market have gone up substantially in the last few months.
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>
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> **Answer:** D. Both statements I and II are effects of independent causes[^3].
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**Question 3:**
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> **Statements:**
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> I. Sea level is steadily rising.
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> II. Global warming is a serious problem that the world is facing.
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>
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> **Answer:** B. Statement II is the cause and statement I is its effect[^4].
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---
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## Summary Table
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| Relationship Type | Description | Example Answer Code |
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| :-- | :-- | :-- |
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| Direct Cause \& Effect | One is cause, other is effect | A or B |
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| Common Cause | Both are effects of a common reason | E |
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| Independent Causes | Both are unrelated or from different causes | C or D |
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---
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This comprehensive explanation, with examples and practice questions, will help you confidently tackle cause and effect reasoning in competitive exams[^1][^5][^6].
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<div style="text-align: center">⁂</div>
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[^1]: Cause-and-Effect.pdf
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[^2]: https://ccc.inaoep.mx/~esucar/Clases-ia/Adicional/ijcai-notes.pdf
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[^3]: https://leverageedu.com/discover/indian-exams/exam-prep-questions-of-cause-and-effect/
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[^4]: https://testbook.com/objective-questions/mcq-on-cause-and-effect--5eea6a1539140f30f369f43e
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[^5]: https://sathee.prutor.ai/article/reasoning/cause-and-effect-reasoning/
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[^6]: https://www.mahendraguru.com/2017/08/important-notes-cause-and-effect.html
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[^7]: https://www.scribd.com/document/472193125/Reasoning-cause-and-Effect
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[^8]: https://study.kdcampus.live/pdf/logical-reasoning-cause-and-effect-complete-study-material-with-previous-year-questions.pdf
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[^9]: https://www.scribd.com/document/697764009/Cause-and-Effect-Analytical-Reasoning-pdf
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[^10]: https://www.indiabix.com/verbal-reasoning/cause-and-effect/
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[^11]: https://images.collegedunia.com/public/image/5026d08b5151661eafe58de6116ef9de.pdf
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[^12]: https://meritnotes.com/reasoning/reasoning-cause-effects/1-77871/
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[^13]: https://edurev.in/t/91590/Cause-and-Effects-Reasoning-for-CLAT-Preparation
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[^14]: https://blog.penningtonpublishing.com/wp-content/uploads/2018/12/Cause-Effect.pdf
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[^15]: https://admin.exampundit.in/uploads/pro_1559022909945.pdf
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