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

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 1. 

Key PointsLet the cost price (CP) of the product be x.

⇒ Selling Price (SP) at 30% loss: SP= x− 0.30x = 0.70x
⇒ Selling Price (SP) if it was ₹150 more: New SP=0.70x+150
⇒ Selling Price for a 10% profit: New SP=x+0.10x=1.10x
⇒ Setting the two expressions for New SP equal: 0.70x+150=1.10x
⇒ Rearranging the equation: 150=1.10x−0.70x
⇒ 150=0.40x
Solving for  x: = 150/ 0.40 = 375 

Thus, the cost price of the product is: 1) Rs. 375.

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 4. 

Key Points 

We know that,

Time from 4 p.m. Monday to 10 p.m. Tuesday = 30 hours

Hence, the clock gained 8 minutes in 30 hours.

 It will gain 3 minutes in = (30/8) x 3 hours = 11 hours 15 minutes.

 Correct time will be shown 11 hours 15 minutes after 4 p.m. i.e. at 3 : 15 a.m. on Tuesday.

Thus, the watch showed the correct time at 3 : 15 a.m. on Tuesday. 

The Correct answer is Option 4. 

Key Points

In total, six tasks can be assigned to six people in: 6! = 720 ways.

⇒ Apply the first constraint:

⇒  Neither A nor B can be assigned Task-1. Thus, Task-1 can only be assigned to C, D, E, or F, giving us 4 choices.

⇒  Apply the second constraint:

⇒  Task 3 must be assigned to either C or D. This gives us 2 choices.

⇒  Assign the remaining 4 tasks to the remaining 4 people. These can be assigned in: 4! = 24 ways.

⇒  Multiply the choices:

⇒  Total ways = (Choices for Task-1) × (Choices for Task-3) × (Ways to assign remaining tasks)

⇒  Total ways = 4 × 2 × 24 = 192 ways.

The Correct answer is Option 4. 

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

The Correct answer is Option 3.

Key PointsTo determine the percentage decrease in petrol consumption required to maintain the same expenditure after a 12% increase in petrol prices, we can use the following approach:

Let:

• The original price of petrol be  P.
• The original quantity of petrol consumed be  Q.
• The original expenditure on petrol be  E.

⇒ The original expenditure can be expressed as:  E = P × Q 

⇒ After a 12% increase in the price of petrol, the new price becomes: New Price = P + 0.12 P = 1.12 P 

⇒ Let the new quantity of petrol consumed be Q ′ Q ′ . The new expenditure must remain the same as the original expenditure:

⇒ E = New Price × Q ′ = 1.12 P × Q ′

⇒ Setting the original expenditure equal to the new expenditure: P × Q = 1.12 P × Q ′

⇒ We can cancel  P from both sides (assuming P ≠ 0 P =0): Q = 1.12 Now, solving for  ′ Q ′ :

⇒ Q ′ = Q / 1.12  ​

⇒ To find the percentage decrease in consumption, we calculate: ⇒ Decrease in consumption = Q − Q ′ = Q − Q/ 1.12 = Q ( 1 − 1/ 1.12 )  Calculating 1 − 1 / 1.12 

⇒ 1 − 1/ 1.12 = 1 − 0.892857 = 0.107143

⇒ Now, converting this to a percentage: Percentage decrease = 0.107143 × 100 ≈ 10.71 %

Thus, the percentage decrease in petrol consumption required to maintain the same expenditure is approximately: 3) 10.7%.

The correct answer is Option 2. 

Key PointsArea of a semicircle: The area of a semicircle with radius  r is: Area = 1/2 πr²

One-sixth of the semicircle's area: We want the area of the sector to be: Area of the sector = 1/6 ×1/2 πr2  = πr2 /12

Area of a sector formula: The area of a sector with angle  θ (in radians) is: Area of the sector = 1/2 r²θ 

Set the two areas equal: 1/2 r2θ = πr2 /12 

Cancel r² (assuming r≠ 0 ) 1/2θ = π /12 

Solve for  θ: Multiply both sides by 2: θ  =  π /6 radians 

Convert radians to degrees: θ (in degrees)=   π /6  × 180/  π = 30^o

So, the angle made by the sector is 30o