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math & puzzles Online Quiz - 1

Description: math & puzzles Online Quiz - 1
Number of Questions: 20
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Tags: math & puzzles
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A: I am older than B.B: I am older than C.C: I am older than A.If B is telling lie, who is the youngest and the oldest (respectively)?

general knowledge math & puzzles

  1. B and C

  2. C and B

  3. B and either A or C

  4. Data Insufficient

Show answer
Correct Option: A

A: B always tells the truth. B: A always lies. In the above statements,
general knowledge math & puzzles

  1. A tells the truth and B lies

  2. B tells the truth and A lies

  3. Both A and B are telling the truth

  4. Statements are wrong as they are Contradictory

Show answer
Correct Option: D

The joint probability of events A and B is 32 percent with the probability of event A being 60 percent and the probability of event B being 50 percent. Based on this information, the conditional probability of event A given event B has occurred is closest to:
general knowledge math & puzzles

  1. 30.0%.

  2. 53.3%

  3. 64.0%

  4. 16.0%

Show answer
Correct Option: C

An analyst has calculated the following ratios for a company: Number of days of receivables 48 Number of days of inventory 37 Number of days of payables 28 The cash conversion cycle for the company is closest to:

general knowledge math & puzzles

  1. 57 days

  2. 85 days

  3. 113 days

  4. 65

Show answer
Correct Option: A

AI Explanation

To answer this question, we need to understand the concept of the cash conversion cycle (CCC). The CCC measures the time it takes for a company to convert its resources into cash flow. It is calculated by adding the number of days of inventory and the number of days of receivables and subtracting the number of days of payables.

Given: Number of days of receivables: 48 Number of days of inventory: 37 Number of days of payables: 28

To calculate the cash conversion cycle (CCC), we use the following formula:

CCC = Number of days of inventory + Number of days of receivables - Number of days of payables

Substituting the given values, we get:

CCC = 37 + 48 - 28 CCC = 57

Therefore, the cash conversion cycle for the company is closest to 57 days.

The correct answer is A.

An analyst gathers the following information about two companies for the year ending 31 December 2008: Company 1 Company 2 Dividend payout ratio 37.5% 40.0% Return on assets 12% 10.0% Financial leverage 1.6 2.0 Which of the following best describes the expected growth rate of Company 1? The expected growth rate of Company 1 compared to Company 2 is
general knowledge math & puzzles

  1. lower.

  2. greater.

  3. the same

  4. none of the above

Show answer
Correct Option: C

An investor purchases a 1-month out-of-the-money American call option on a stock. A week later, the stock price is less than the call option strike price. The time value of the option is most likely:
general knowledge math & puzzles

  1. Zero.

  2. A positive amount.

  3. A negative amount

  4. none of the above

Show answer
Correct Option: B

Compared to investors with long investment time horizons, investors with short investment time horizons most likely require:
general knowledge math & puzzles

  1. less liquidity and less emphasis on capital appreciation

  2. more liquidity and less emphasis on capital appreciation.

  3. less liquidity and greater emphasis on capital appreciation

  4. none of the above

Show answer
Correct Option: B

Which of the following statements regarding the Markowitz efficient frontier is least likely to be correct? The optimal portfolio for:

general knowledge math & puzzles

  1. an investor is the portfolio that lies on the efficient frontier and provides her with the greatest level of utility.

  2. an investor is found at the point of tangency between the efficient frontier and an investor’s highest utility curve.

  3. a more risk-averse investor will lie inside the efficient frontier but will lie outside the efficient frontier for a less risk-averse investor.

  4. none of the above

Show answer
Correct Option: C

AI Explanation

To answer this question, let's go through each option to understand why it is correct or incorrect:

Option A) The optimal portfolio for an investor is the portfolio that lies on the efficient frontier and provides her with the greatest level of utility.

This option is correct. The efficient frontier represents a set of portfolios that offer the highest expected return for a given level of risk. The optimal portfolio for an investor is the one that maximizes their utility (satisfaction) based on their risk and return preferences. Therefore, this statement is likely to be correct.

Option B) The optimal portfolio for an investor is found at the point of tangency between the efficient frontier and an investor’s highest utility curve.

This option is correct. The point of tangency between the efficient frontier and an investor's highest utility curve represents the optimal portfolio for that investor. This is where the investor's risk and return preferences align with the available investment opportunities on the efficient frontier.

Option C) A more risk-averse investor will lie inside the efficient frontier but will lie outside the efficient frontier for a less risk-averse investor.

This option is incorrect. A more risk-averse investor will actually lie on a lower portion of the efficient frontier, where portfolios have lower expected returns but also lower levels of risk. A less risk-averse investor will lie on a higher portion of the efficient frontier, where portfolios have higher expected returns but also higher levels of risk. Therefore, this statement is least likely to be correct.

Option D) None of the above.

This option is incorrect because option C is least likely to be correct.

The correct answer is C. This option is least likely to be correct because it incorrectly states that a more risk-averse investor will lie inside the efficient frontier but will lie outside the efficient frontier for a less risk-averse investor.

A primary motivation for investment in commodities is most likely the:
general knowledge math & puzzles

  1. positive correlation of commodities with unexpected inflation

  2. positive correlation of commodities with stock and bond investments.

  3. positive volatility of commodities relative to stock and bond investments

  4. none of the above

Show answer
Correct Option: A

An analyst is developing net present value (NPV) profiles for two investment projects. The only difference between the two projects is that Project 1 is expected to receive larger cash flows early in the life of the project, while Project 2 is expected to receive larger cash flows late in the life of the project. The slope of the NPV profile for Project 1 when compared to the slope of the NPV profile for Project 2 is most likely:
general knowledge math & puzzles

  1. equal.

  2. flatter

  3. steeper

  4. unequal

Show answer
Correct Option: B

There are three cans A, B and C. The capacities of A, B and C are 6 litres, 10 litres and 16 litres respectively. The can C contains 16 litres of milk. The milk has to be divided in them using these three cans only. Consider the following statements : 1. It is possible to have 6 litres of milk each in can A and can B. 2. It is possible to have 8 litres of milk each in can B and can
general knowledge math & puzzles

  1. 1

  2. 2

  3. Both 1 and 2

  4. None of Them

Show answer
Correct Option: C
Explanation:

To solve this problem, the user needs to know the capacities of each can and how to divide the milk among the cans to obtain the desired quantities.

Statement 1: It is possible to have 6 litres of milk each in can A and can B. To obtain 6 litres of milk in can A and can B, we can follow the following steps:

  • Pour 6 litres of milk from can C into can A.
  • Pour 4 litres of milk from can A into can B.
  • Pour 2 litres of milk from can C into can A.
  • Pour 4 litres of milk from can A into can B.

After following these steps, can A will have 4 litres of milk, can B will have 6 litres of milk, and can C will have 10 litres of milk. Therefore, statement 1 is true.

Statement 2: It is possible to have 8 litres of milk each in can B and can A. To obtain 8 litres of milk in can A and can B, we can follow the following steps:

  • Pour 10 litres of milk from can C into can B.
  • Pour 2 litres of milk from can B into can A.
  • Pour 4 litres of milk from can C into can B.
  • Pour 2 litres of milk from can B into can A.

After following these steps, can A will have 4 litres of milk, can B will have 8 litres of milk, and can C will have 12 litres of milk. Therefore, statement 2 is true.

Since both statements are true, the answer is:

The Answer is: C. Both 1 and 2.

Tanya is older than Eric. Cliff is older than Tanya. Eric is older than Cliff. If the first two statements are true, the third statement is
general knowledge math & puzzles

  1. True

  2. False

  3. Uncertain

  4. None

Show answer
Correct Option: B

Four defensive football players are chasing the opposing wide receiver, who has the ball. Calvin is directly behind the ball carrier. Jenkins and Burton are side by side behind Calvin. Zeller is behind Jenkins and Burton. Calvin tries for the tackle but misses and falls. Burton trips. Which defensive player tackles the receiver?
general knowledge math & puzzles

  1. Burton

  2. Zeller

  3. Jenkins

  4. Calvin

Show answer
Correct Option: C

A company has just issued $5 million of mandatory redeemable preferred shares with a par value of $100 per share and a 7 percent dividend. The issue matures in 5 years. Which of the following statements is least likely correct? The company’s:

general knowledge math & puzzles

  1. Debt/Total capital ratio will improve.

  2. interest coverage ratio will deteriorate.

  3. preferred shareholders will rank below debt holders should the company file for bankruptcy.

  4. none of the above

Show answer
Correct Option: A
Explanation:

To answer this question, let's go through each option to understand why it is correct or incorrect:

Option A) Debt/Total capital ratio will improve. This option is incorrect because when the company issues preferred shares, it increases its total capital. As a result, the debt/total capital ratio will actually deteriorate, not improve.

Option B) Interest coverage ratio will deteriorate. This option is correct. The interest coverage ratio measures a company's ability to cover its interest expenses with its operating income. When the company issues preferred shares with a fixed dividend, it adds an additional fixed expense to its financial obligations. This can reduce the company's ability to cover its interest expenses and therefore lead to a deterioration in the interest coverage ratio.

Option C) Preferred shareholders will rank below debt holders should the company file for bankruptcy. This option is correct. In the event of bankruptcy, debt holders have a higher priority in receiving their claims compared to preferred shareholders. Debt holders have a legal claim on the assets of the company and are typically paid first before any distributions are made to preferred shareholders.

Option D) None of the above. This option is incorrect because option A is least likely to be correct, as explained above.

The correct answer is A) Debt/Total capital ratio will improve. This option is least likely to be correct because issuing preferred shares increases total capital and therefore deteriorates the debt/total capital ratio.

Therefore, the correct answer is A) Debt/Total capital ratio will improve.

A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:

general knowledge math & puzzles

  1. 14

  2. 19

  3. 33

  4. 38

Show answer
Correct Option: A

Other things held constant, the value of an option depends on the stock's price, the risk-free rate, and the
general knowledge math & puzzles

  1. Strike price.

  2. Variability of the stock price.

  3. Option's time to maturity.

  4. All of the above.

Show answer
Correct Option: D

It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?
general knowledge math & puzzles

  1. Sunday

  2. Saturdar

  3. Friday

  4. Wednesday

Show answer
Correct Option: C

An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?

general knowledge math & puzzles

  1. 144*

  2. 150*

  3. 168*

  4. 180*

Show answer
Correct Option: D

How many of the following numbers are divisible by 132 ?264, 396, 462, 792, 968, 2178, 5184, 6336

general knowledge math & puzzles

  1. 4

  2. 5

  3. 6

  4. 7

Show answer
Correct Option: A

How many of the following numbers are divisible by 132 ?264, 396, 462, 792, 968, 2178, 5184, 6336
general knowledge math & puzzles

  1. 4

  2. 5

  3. 6

  4. 7

Show answer
Correct Option: A
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