CSAT MCQ Quiz in मल्याळम - Objective Question with Answer for CSAT - സൗജന്യ PDF ഡൗൺലോഡ് ചെയ്യുക

The correct answer is Option 1

Key PointsStatement 1: The average of four numbers 10, 15, 20, and 25 is 17.5.
⇒ To find the average, we use the formula:  Average = Sum of numbers / Number of numbers
⇒  Calculating the sum: 10+15+20+25=70
⇒  Now, calculating the average: Average=70/4=17.5
Conclusion: Statement 1 is correct.

Statement 2: If a, b, and c are three different natural numbers such that  a+b+c=abc then the average of a, b, and c is 3.
⇒  Let's analyze the equation  a+b+c=abc
⇒  If we assume  a,b,c are the smallest natural numbers that satisfy this equation, we can try  a=1,b=2,c=3
⇒  1+2+3=6 and 1×2×3=6
This satisfies the equation.
⇒  Now, calculating the average: 1 + 2 + 3 / 3 = 6/3 = 2
Conclusion: Statement 2 is incorrect because the average is 2, not 3.
Final Conclusion:
Statement 1 is correct.
Statement 2 is incorrect.
Thus, the correct answer is: 1 only

Key Points

• The passage emphasizes the need for adapting the financial system to fit the unique preferences and hurdles faced by Indian households, implying the need for flexible solutions (Option 1).
• It mentions the challenges in choosing the right services and providers, indicating the necessity of personalized, or customised, solutions for each household (Option 2).
• The hurdles mentioned, such as bureaucracy, skepticism towards financial institutions, and a lack of information, suggest that innovations in financial technology could help overcome these barriers by simplifying processes and increasing transparency (Option 3).
• All three points addressed are implied as part of the solution to encourage the financialization of household savings in India, making Options 1, 2, and 3 relevant.
• The passage discusses barriers that prevent households from transitioning into more financialized savings, implicitly suggesting that overcoming these barriers requires a combination of flexibility, customization, and technological innovation.

Additional Information

• A flexible environment (Option 1) is necessary to adapt to the diverse needs and preferences of households, which vary widely across different regions and demographics.
• Customised solutions (Option 2) are important because of the varying financial literacy levels, risk appetites, and financial goals among Indian households. Tailored advice and products can help address these individual needs more effectively.
• Innovations in financial technology (Option 3) can streamline processes, reduce paperwork, enhance security, and provide easier access to financial information, making it simpler for households to navigate and trust the financial system.
• The passage does not explicitly mention these solutions, but they are implied as ways to address the challenges outlined, making all three options correct in context.

The Correct answer is Option 3. 

Key Points 

Sum of the cubes of first 4 natural numbers = 1³ + 2³ + 3³ + 4³

 = 1 + 8 + 27 + 64 = 100

First even natural number = 2

Required product = 2 × 100 = 200

Hence Correct answer is Option 3. 

The Correct answer is Option 4. 

Key Points⇒ The sequence decreases by  −4 each time.

⇒ The formula for the  n-th term of an AP is: a_n = a₁ + (n-1) .d 

⇒ Here, a₁ = 14 , d = -4 , n = 14 

⇒  a₁₄ =14 + (14−1)(−4) = 14 − 52 = −38.

Hence Option 4 is correct. 

The Correct answer is Option 3. 

Key Points

Total Arrangements Without Any Restriction:

⇒ In a circular arrangement, the number of ways to arrange  n people is (n−1)!.

⇒ For 5 people, the number of circular arrangements is  (5−1)! = 4! = 24 ways.

Arrangements Where the Couple Sits Together:

⇒ Consider the couple as a single unit. Now we have 4 units to arrange (the couple and the other 3 individuals).
⇒ The number of ways to arrange these 4 units in a circle is  (4−1)!=3!=6 ways.
⇒ Within the couple's unit, the two people can switch places, so there are 2 additional arrangements.
⇒ Therefore, the number of ways in which the couple sits together is  6×2=12.
Arrangements Where the Couple Does Not Sit Together:

⇒ To find this, subtract the number of arrangements where the couple sits together from the total number of arrangements. 24−12=12.
⇒ Thus, the total number of ways to arrange the group such that the couple does not sit next to each other is 12. Hence, Option 3 is correct.

The Correct answer is Option 1. 

Key PointsTo find the number of students who do not play any of the three sports (cricket, football, and hockey), we can use the principle of inclusion-exclusion.

Step 1: Define the sets

• C = number of students playing cricket = 50
• F = number of students playing football = 37
• H = number of students playing hockey = 22
• |C ∩ F| = number of students playing at least cricket and football = 25
• |C ∩ H| = number of students playing at least cricket and hockey = 15
• |F ∩ H| = number of students playing at least football and hockey = 12
• |C ∩ F ∩ H| = number of students playing all three sports = 10

Step 2: Use the inclusion-exclusion principle

⇒ The formula for the number of students playing at least one of the sports is: |C ∪ F ∪ H| = |C| + |F| + |H| - |C ∩ F| - |C ∩ H| - |F ∩ H| + |C ∩ F ∩ H|

Step 3: Substitute the values

⇒  Substituting the values into the formula: |C ∪ F ∪ H| = 50 + 37 + 22 - 25 - 15 - 12 + 10

Calculating step by step:

• Sum of individual sports: 50 + 37 + 22 = 109
• Sum of pairwise intersections: 25 + 15 + 12 = 52
• Now substitute: |C ∪ F ∪ H| = 109 - 52 + 10 = 67

Step 4: Calculate the number of students not playing any sports

The total number of students is 100. Therefore, the number of students who do not play any of the three sports is: Students not playing any sport = 100 - |C ∪ F ∪ H| = 100 - 67 = 33

Thus, the number of students who do not play any of the three sports is: 1) 33

Given:

Tap A can fill the tank = 20 minutes

Tap B can fill the tank = 15 minutes

Tap C can empty the tank = 6 minutes

Calculation:

Let the capacity of tank = LCM (20,15, 6) = 60 units

The efficiency of tap A = (60/20) = 3 units/minute

The efficiency of tap B = (60/15) = 4 units/minute

and

The efficiency of tap C = (60/6) = -10 units/minute

According to the question, the taps A and B fill the tank for 5 minutes

So, tank filled = 5 × (3 + 4) = 35 units

Now, the tap C is opened to empty while A and B continue to fill it,

So, efficiency of A, B and C together = 3 + 4 - 10 = - 3 units/minute

So, time taken to empty 35 units = 35/3 = 11\(\frac{2}{3}\) minutes

The Correct answer is Option 4. 

Key PointsOption (a) is incorrect: The passage talks about the significance of food from non-agricultural lands such as forests, peatlands, etc., in terms of ensuring food security during food shortages and production gaps and complementing the agricultural system. But it does not recommend replacing other trees with food-yielding trees.

Option (b) is incorrect: Although the passage highlights the resilience of forest foods through the lines “Since the productivity of trees is often more resilient to adverse weather conditions.....forest food provides safety net… ”, it does not mention that conventional agriculture on its own can not ensure food safety.

Option (c) is incorrect: The line “It allows rural and tribal communities to sustain themselves for the whole year and steer clear of natural disasters and season-induced shortfalls of agriculture food” indicates the vulnerability of the rural and tribal communities. However, the passage nowhere mentions the conversion of wastelands and degraded areas to develop forests and help the poor.

Option (d) is correct: The tribal and rural communities are vulnerable to food shortages due to crop failures and during seasonal production gaps as seen in the line “..forest food provides a safety net during periods of food shortages caused by crop failures; forest foods also make important contributions during seasonal crop production gaps.” The development of agroecosystems along with conventional agriculture would reduce the vulnerability of these communities and ensure their food security. 

The Correct answer is Option 2. 

Key Points

• Option (a) is incorrect: While this option presents a correct argument as per the passage, it is the supporting/ secondary and indirect argument. The passage states that “A fundamental reason why corporate governance has moved onto the economic and political agenda worldwide has been the rapid growth in international capital markets. Effective corporate governance enhances access to external financing by firms…” So, countries around the world are trying to put in place good corporate governance, in order to access good external financing. Also, again good external financing is not the ultimate aim, but “greater investment, higher growth and employment.”
• Option (b) is correct: The passage mentions that “Good corporate governance structures encourage companies to provide accountability and control….Effective corporate governance enhances access to external financing by firms, leading to greater investment, higher growth and employment. Investors look to place their funds where the standards of disclosure, of timely and accurate financial reporting, and of equal treatment to all stakeholders are met.” Therefore, we can infer that the central theme of the passage revolves around how good corporate governance improves the credibility of the firms. Hence this option best reflects the logical inference from the passage.
• Option (c) is incorrect: While this option presents a correct argument as per the passage, it is the supporting argument. Also, the passage focusses on good corporate governance leading to improvement in the credibility of the firms in the international markets, rather than the other way round, i.e. international capital markets benefitting corporate governance.
• Option (d) is incorrect: There is no direct mention of supply chains in the passage.

The Correct answer is Option 2

Key Points

35ⁿ = 7ⁿ × 5ⁿ

The given expression: 7 × 343 × 385 × 1000 × 2401 × 77777 =

7 × 7³ × (5 × 7 × 11) × (2³ × 5³)× 7⁴ × (7 × 11111) = 7¹⁰ × 5⁴ × ……

The lower power will determine the value of n, i.e. 5⁴ . As the power of 5 in the expression is 4, the maximum value of n would also be 4. 

Hence Correct answer is Option 2.