Summer Analyst [finance/ Analytics/ Consulting] Interview Questions and Answers

To maximize the probability of picking a red marble, divide the marbles unevenly, with more red marbles in one jar.

• Place 49 red marbles and 1 blue marble in one jar, and the remaining 1 red marble and 49 blue marbles in the other jar.

• This way, the blind man has a higher chance of picking the jar with 49 red marbles and 1 blue marble.

• The probability of picking a red marble from the first jar is 49/50, while from the second jar it is 1/50.

Probability of rolling three unbiased dices such that a>b>c and extrapolating to five random number generators.

• The probability of rolling three unbiased dices such that a>b>c is 1/216.

• To extrapolate to five random number generators, we need to calculate the probability of generating five random numbers such that the first is greater than the second, the second is greater than the third, and so on.

• The probability of generating five random numbers such that the first is greater...read more

A cube can be divided into 27 smaller cubes with 6 cuts.

• Each cut creates one additional layer of cubes

• Three cuts are needed to divide the cube into 8 smaller cubes

• Each of the 8 smaller cubes can be divided into 3 smaller cubes with one cut

p^2-1 is divisible by 8 and 24 for all primes.

• To prove p^2-1 is divisible by 8, consider the possible remainders of p when divided by 8.

• To prove p^2-1 is divisible by 24, consider the possible remainders of p when divided by 24.

• For all primes, p^2-1 will always be divisible by 8 and 24.

To check if a linked list is looped onto itself, we can use hashmaps.

• Create an empty hashmap

• Traverse the linked list, for each node check if it already exists in the hashmap

• If a node already exists, it means the linked list is looped

• If the traversal completes without finding a loop, the linked list is not looped

I am proficient in Python and SQL, and have basic knowledge of Java and R.

• Proficient in Python and SQL

• Basic knowledge of Java and R

Depreciation reduces the value of assets over time, impacting financial statements.

• Depreciation is a non-cash expense that reduces the value of assets on the balance sheet.

• It is recorded on the income statement and reduces net income.

• Depreciation can impact financial ratios such as return on assets and debt-to-equity.

• Different methods of depreciation can be used, such as straight-line or accelerated.

• Depreciation can also impact taxes, as it is a deductible expense.

• Depreciatio...read more