Prelims Solution

Q. The term “Levant” often heard in the news roughly corresponds to which of the following regions?

Q. The term “Levant” often heard in the news roughly corresponds to which of the following regions?

a) Region along the eastern Mediterranean shores
b) Region along North African shores stretching from Egypt to Morocco
c) Region along Persian Gulf and Horn of Africa
d) The entire coastal areas of Mediterranean Sea
Correct Answer: a) Region along the eastern Mediterranean shores

Question from UPSC Prelims 2022 GS Paper

Explanation : 

Levant Region UPSC

The term “Levant” refers to a historical and geographical region that encompasses the eastern shores of the Mediterranean Sea. This area includes the modern-day countries of Syria, Lebanon, Israel, Palestine, and Jordan, and sometimes it extends to parts of Cyprus and Turkey. The Levant has been a crossroads of various civilizations, cultures, and religions throughout history, which is reflected in its rich cultural and historical heritage.

Origin and Meaning of the Term

The term itself comes from the French word “levant,” meaning “rising,” as in the direction of the rising sun, indicating the east. It was used historically to describe the lands to the east of the Mediterranean Sea.

Other Regions and their Distinctions

The other regions mentioned do not correspond to the Levant:

  • The North African shores stretching from Egypt to Morocco are known as the Maghreb.
  • The region along the Persian Gulf and the Horn of Africa are separate geographical areas that do not fall under the traditional definition of the Levant.
  • The entire coastal areas of the Mediterranean Sea include many different regions and countries, extending far beyond the Levant.

Therefore, the correct answer is indeed the region along the eastern Mediterranean shores.

Q. The term “Levant” often heard in the news roughly corresponds to which of the following regions? Read More »

Q. Which date of June 2099 among the following is Sunday?

Q. Which date of June 2099 among the following is Sunday?

a. 4
b. 5
c. 6
d. 7
Correct Answer: d. 7

Question from UPSC Prelims 2022 CSAT Paper

Explanation : 

June 2099 – Sunday

Prelims 2022 – 5-JUN-2022 Sunday.

First, calculate the number of years between 2022 and 2099, which is 2099 – 2022 = 77 years.

Determining Number of Leap Years

Next, determine the number of leap years in this period. Leap years are typically every 4 years, but we must exclude centuries that are not divisible by 400. The years from 2022 to 2099 include the following leap years: 2024, 2028, 2032, 2036, 2040, 2044, 2048, 2052, 2056, 2060, 2064, 2068, 2072, 2076, 2080, 2084, 2088, 2092, 2096. That’s a total of 19 leap years.

Calculating Total Number of Odd Days

Each normal year contributes 1 odd day (365 days = 52 weeks + 1 day), and each leap year contributes 2 odd days (366 days = 52 weeks + 2 days).

So, the total number of odd days in 77 years is:

  • Odd days from normal years = 58 normal years × 1 odd day = 58 odd days
  • Odd days from leap years = 19 leap years × 2 odd days = 38 odd days
  • Total odd days = 58 + 38 = 96 odd days

Determining the Day of the Week

Since each week has 7 days, we find the remainder of 96 divided by 7 to get the number of odd days:

96 mod 7 = 5 odd days

Since June 5, 2022, was a Sunday, adding 5 odd days means:

Sunday + 5 days = Friday

Thus, June 5, 2099, will be a Friday.

Q. Which date of June 2099 among the following is Sunday? Read More »

Q. There are five persons P, Q, R, S and T each one of whom has to be assigned one task. Neither P nor Q can be assigned Task-1. Task-2 must be assigned to either R or S. In how many ways can the assignment be done?

Q. There are five persons P, Q, R, S and T each one of whom has to be assigned one task. Neither P nor Q can be assigned Task-1. Task-2 must be assigned to either R or S. In how many ways can the assignment be done?

(a) 6
(b) 12
(c) 18
(d) 24
Correct Answer: (d) 24

Question from UPSC Prelims 2023 CSAT

Explanation : 

There are 5 tasks and 5 persons p q r s t

There are 5 tasks to be assigned to 5 people.

There are five persons P, Q, R, S and T

Task-1 cannot be assigned to P or Q. So, it can be assigned to R, S or T in 3 ways.

Task-2 must be assigned to either R or S. If Task-1 was assigned to R or S, then Task-2 can only be assigned to the remaining person. If Task-1 was assigned to T, then Task-2 can be assigned to either R or S. So, Task-2 can be assigned in 2 ways.

The remaining 3 tasks can be assigned to the remaining 3 people in 3! = 6 ways.

So, the total number of ways to assign the tasks is 3 * 2 * 6 = 24.

Q. There are five persons P, Q, R, S and T each one of whom has to be assigned one task. Neither P nor Q can be assigned Task-1. Task-2 must be assigned to either R or S. In how many ways can the assignment be done? Read More »

Q. How many distinct 8-digit numbers can be formed by rearranging the digits of the number 11223344 such that odd digits occupy odd positions and even digits occupy even positions?

Q. How many distinct 8-digit numbers can be formed by rearranging the digits of the number 11223344 such that odd digits occupy odd positions and even digits occupy even positions?

(a) 12
(b) 18
(c) 36
(d) 72
Correct Answer: (c) 36

Question from UPSC Prelims 2023 CSAT

Explanation : 

8-Digit Number Arrangement – 11223344

The number 11223344 has 4 odd digits (1,1,3,3) and 4 even digits (2,2,4,4).

In an 8-digit number, there are 4 odd positions (1st, 3rd, 5th, 7th) and 4 even positions (2nd, 4th, 6th, 8th).

The 4 odd digits can be arranged in the 4 odd positions in 4!/2!2! = 6 ways (4 factorial divided by 2 factorial times 2 factorial, because there are 2 pairs of identical digits).

Similarly, the 4 even digits can be arranged in the 4 even positions in 4!/2!2! = 6 ways.

Therefore, the total number of distinct 8-digit numbers is 6 * 6 = 36.

So, the correct answer is (c) 36.

Q. How many distinct 8-digit numbers can be formed by rearranging the digits of the number 11223344 such that odd digits occupy odd positions and even digits occupy even positions? Read More »

Q. With reference to the expenditure made by an organisation or a company, which of the following statements is/are correct?

Q. With reference to the expenditure made by an organisation or a company, which of the following statements is/are correct?

1. Acquiring new technology is capital expenditure.
2. Debt financing is considered capital expenditure, while equity financing is considered revenue expenditure.

Select the correct answer using the code given below:
a) 1 only
b) 2 only
c) Both 1 and 2
d) Neither 1 nor 2
Correct Answer: a) 1 only

Question from UPSC Prelims 2022 GS Paper

Explanation : 

Capital Expenditure

Acquiring new technology is capital expenditure. This statement is correct. Capital expenditure (CapEx) refers to the funds used by a company to acquire, upgrade, and maintain physical assets such as property, industrial buildings, or equipment. This can also include investment in technology such as new software or hardware that is expected to improve the company’s productivity or capacity over the long term. These types of expenses are capitalized, meaning the cost is spread out over the useful life of the asset rather than being fully expensed in the year they were incurred.

Difference Between Capital and Revenue Expenditure

Debt financing is considered capital expenditure, while equity financing is considered revenue expenditure. This statement is incorrect. Debt financing and equity financing are not categorized as expenditures but as forms of raising capital for the company. Debt financing involves borrowing funds that will need to be repaid over time with interest, while equity financing involves selling shares of the company’s stock to raise funds.

Debt Financing Explained

Debt financing does not constitute an expenditure but rather a liability that the company takes on. The interest payments made on the debt can be considered an operating expense, but the principal amount borrowed is not an expenditure; it’s a form of financing.

Equity Financing Explained

Equity financing is not an expenditure either. It is a transaction where the company is exchanging ownership (equity) for capital. It does not appear on the income statement like revenue or expenses do. Instead, it is recorded in the equity section of the balance sheet.

Therefore, the first statement is correct in identifying the acquisition of new technology as capital expenditure, while the second statement is incorrect in categorizing debt and equity financing as capital and revenue expenditures, respectively.

Q. With reference to the expenditure made by an organisation or a company, which of the following statements is/are correct? Read More »

Q. In the context of the Indian economy, non-financial debt includes which of the following?

Q. In the context of the Indian economy, non-financial debt includes which of the following?

1. Housing loans owed by households
2. Amounts outstanding on credit cards
3. Treasury bills
Select the correct answer using the code given below:
a) 1 only
b) 1 and 2 only
c) 3 only
d) 1, 2 and 3
Correct Answer : d) 1, 2 and 3

Question from UPSC Prelims 2020 GS Paper

Explanation:

d) 1, 2 and 3 All options are correct.

Non-Financial Debt

Non-financial debt refers to the total amount of borrowed money that is owed by entities that are not financial institutions. This type of debt is incurred by households, businesses (excluding those in the financial sector), and governments. Non-financial debt is a significant indicator of the overall debt burden in an economy and can have profound implications for economic stability and growth.

Components of Non-Financial Debt

  1. Household Debt: This includes all debts incurred by individuals or households. Common forms of household debt include mortgages, car loans, student loans, and credit card debts. Household debt is often driven by consumer spending and housing market dynamics.
  2. Corporate Debt (Non-Financial Corporations): This refers to the debt held by companies that are involved in the production of goods and services but do not include financial institutions like banks or insurance companies. Corporate debt can be in the form of bonds, loans, and other types of credit facilities used to fund operations, expansion, and investments.
  3. Government Debt: This includes all borrowings by local, state, and national governments. Government debt is used to fund public services and infrastructure projects, and it can be held domestically or by foreign investors. This type of debt is typically issued in the form of government bonds.

Importance of Non-Financial Debt

  • Economic Indicator: The level of non-financial debt is a crucial indicator of the financial health and stability of an economy. High levels of debt can indicate potential financial stress or vulnerability to economic downturns.
  • Impact on Economic Growth: While debt can be used to finance growth-enhancing investments, excessive debt can lead to financial crises and economic contractions. High debt levels can also lead to higher interest rates and reduced spending and investment.
  • Policy Making: Understanding the components and levels of non-financial debt helps policymakers in designing appropriate fiscal and monetary policies. For example, if household debt levels are too high, governments might implement policies to encourage saving and reduce borrowing.

Risks Associated with High Non-Financial Debt

  • Default Risk: High levels of debt increase the risk of default by borrowers, which can lead to financial crises and economic instability.
  • Interest Rate Risk: If interest rates rise, the cost of servicing debt can increase significantly, putting additional financial strain on borrowers.
  • Economic Slowdown: Excessive debt can lead to reduced consumer spending and business investment, which in turn can slow down economic growth.

Solution to Question

This includes:

  • Housing loans owed by households: Mortgages taken out to purchase property.
  • Amounts outstanding on credit cards: Revolving credit used for everyday purchases.
  • Treasury bills: Short-term debt instruments issued by the government.

Q. In the context of the Indian economy, non-financial debt includes which of the following? Read More »

Q. Raj has ten pairs of red, nine pairs of white and eight pairs of black shoes in a box. If he randomly picks shoes one by one (without replacement) from the box to get a red pair of shoes to wear, what is the maximum number of attempts he has to make?

Q. Raj has ten pairs of red, nine pairs of white and eight pairs of black shoes in a box. If he randomly picks shoes one by one (without replacement) from the box to get a red pair of shoes to wear, what is the maximum number of attempts he has to make?

(a) 27
(b) 36
(c) 44
(d) 45
Correct Answer: (d) 45

Question from UPSC Prelims 2023 CSAT

Explanation : 

Raj has 10 pairs of red, 9 pairs of white, 8 pairs of black shoes.

In the worst-case scenario, Raj would pick one shoe from each pair without getting a matching pair.

There are ten pairs of red shoes, nine pairs of white shoes, and eight pairs of black shoes, which means there are a total of 27 pairs of shoes.

If he picks one shoe from each pair, that’s 27 attempts.

Then, he would have to start picking a second shoe from each pair. In the worst-case scenario, he would pick all the second shoes from the white and black pairs before picking a second shoe from a red pair.

That’s an additional 17 attempts (9 white pairs + 8 black pairs).

So, in total, the maximum number of attempts he would have to make is 27 (first shoes) + 17 (second shoes) = 44 attempts.

But, he still hasn’t picked a matching pair of red shoes. He would have to pick one more shoe (the matching red one) to get a pair.

So, the total maximum number of attempts is 44 + 1 = 45 attempts.

Hence, the correct answer is (d) 45.

Q. Raj has ten pairs of red, nine pairs of white and eight pairs of black shoes in a box. If he randomly picks shoes one by one (without replacement) from the box to get a red pair of shoes to wear, what is the maximum number of attempts he has to make? Read More »

Q. What is the unit digit in the expansion of (57242)^9×7×5×3×1 ?

Q. What is the unit digit in the expansion of
(57242)^9×7×5×3×1 ?

(a) 2
(b) 4
(c) 6
(d) 8
Correct Answer: (a) 2

Question from UPSC Prelims 2023 CSAT

Explanation : 

Unit Digit of a Power 57242945

To find the unit digit of 57242945, we can focus solely on the unit digit of the base number, which is 2, since the unit digit of a power depends only on the unit digit of the base.

Calculating Power

First, calculate the product 9 x 7 x 5 x 3 x 1 = 945.

Pattern in Powers of 2

Next, observe the pattern in the powers of 2:

  • 21 = 2 (unit digit is 2)
  • 22 = 4 (unit digit is 4)
  • 23 = 8 (unit digit is 8)
  • 24 = 16 (unit digit is 6)
  • 25 = 32 (unit digit is 2)
  • 26 = 64 (unit digit is 4)
  • 27 = 128 (unit digit is 8)
  • 28 = 256 (unit digit is 6)
  • 29 = 512 (unit digit is 2)

The unit digits repeat every four powers (2, 4, 8, 6). This is known as the cyclicity of 2, which is 4.

Finding Relevant Power

To find the relevant power in the cycle for 2945, calculate the remainder of 945 divided by 4:

945 ÷ 4 = 236 remainder 1

This remainder tells us that 2945 corresponds to the first number in the cycle of unit digits of 2, which is 2.

Thus, the unit digit of 57242945 is 2.

Therefore, the correct answer is 2.

Q. What is the unit digit in the expansion of (57242)^9×7×5×3×1 ? Read More »

Q59. Consider the following statements: 1. Amarkantak Hills are at the confluence of Vindhya and Sahyadri Ranges

Q59. Consider the following statements:

1. Amarkantak Hills are at the confluence of Vindhya and Sahyadri Ranges.
2. Biligirirangan Hills constitute the easternmost part of Satpura Range.
3. Seshachalam Hills constitute the southernmost part of Western Ghats.

How many of the statements given above are correct?
a. Only one
b. Only two
c. All three
d. None

Question from UPSC Prelims 2023 GS Paper

Explanation : 

d. None

Amarkantak Hills

Amarkantak Hills are not at the confluence of Vindhya and Sahyadri Ranges, but rather are located in the Maikal Range, which is a part of the Satpura Range.

Biligirirangan Hills

Biligirirangan Hills do not constitute the easternmost part of the Satpura Range; instead, they are situated at the confluence of the Eastern Ghats and Western Ghats.
Biligiriranga Hills are a starting point of the Eastern Ghats and contact the border of the Western Ghats, allowing animals to move between them and facilitating gene flow between populations of species in these areas. Thus, this sanctuary serves as an important biological bridge for the biota of the entire Deccan plateau.

Seshachalam Hills

Seshachalam Hills do not constitute the southernmost part of the Western Ghats, as they are part of the Eastern Ghats. Therefore, none of the statements given above are correct.

Q59. Consider the following statements: 1. Amarkantak Hills are at the confluence of Vindhya and Sahyadri Ranges Read More »

Q. Consider the following statements in respect of five candidates P, Q, R, S and T. Two statements are true and one statement is false.

Q. Consider the following statements in respect of five candidates P, Q, R, S and T. Two statements are true and one statement is false.

True Statement: One of P and Q was selected for the job.
False Statement: At least one of R and S was selected for the job.
True Statement: At most two of R, S and T were selected for the job.

Which of the following conclusions can be drawn?
1. At least four were selected for the job.
2. S was selected for the job.
Select the correct answer using the code given below:
(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2
Correct Answer: (d) Neither 1 nor 2

Question from UPSC Prelims 2023 CSAT

Explanation :

Five candidates P, Q, R, S and T – Job Selection

The statements provide the following information:

– One of P and Q was selected for the job. This statement is true, which means either P or Q was selected.

– At least one of R and S was selected for the job. This statement is false, which implies neither R nor S was selected.

– At most two of R, S and T were selected for the job. This statement is true. But we already know from the second statement that neither R nor S was selected, so at most two people could be selected from R, S, and T. Therefore, at most, T was selected for the job.

So, the possible selections for the job could be P and T, or Q and T but no more than 2 individuals were selected. Therefore, the statement “At least four were selected for the job” is incorrect.

We also know that S was not selected for the job based on the second statement. Therefore, the statement “S was selected for the job” is also false.

Hence, the correct answer is (d) Neither 1 nor 2.

Q. Consider the following statements in respect of five candidates P, Q, R, S and T. Two statements are true and one statement is false. Read More »