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All questions of Deloitte for Interview Preparation Exam

M and N’s salaries together amount to Rs. 2,000. M spends 95% of his salary and N spends 85% of his. If now their savings are the same, what is N’s salary?
  • a)
    Rs.1500
  • b)
    Rs.750
  • c)
    Rs.1250
  • d)
    Rs.500
Correct answer is option 'D'. Can you explain this answer?

M+N=2000
Savings of M=100-95=5%
Savings of N= 100-85 =15%
5% of M saving =15%of N saving
Therefore M/N =15/5
the ratio of their salary is 3:1
N's Salary = 1/4 ×2000
N's Salary = 500
Option D is correct.

A trader marks the price at 8 percent higher than the original price. Due to the hike in demand, he again increases the price by 10 percent. How much percent profit he gets.
  • a)
    17.8%
  • b)
    18.8%
  • c)
    19.8%
  • d)
    20.8%
Correct answer is option 'B'. Can you explain this answer?

Kavya Nair answered
Calculation:

Step 1: Initial price increase
- Let the original price be 100.
- The trader marks the price at 8% higher, so the new price = 100 + 8% of 100 = 100 + 8 = 108.

Step 2: Second price increase
- Due to the hike in demand, the price is increased by 10%.
- The new price after the second increase = 108 + 10% of 108 = 108 + 10.8 = 118.8.

Profit Percentage Calculation:
- Profit percentage = ((Selling Price - Cost Price) / Cost Price) * 100
- Cost Price = 100 (initial price)
- Selling Price = 118.8 (final price after both increases)
- Profit percentage = ((118.8 - 100) / 100) * 100 = 18.8%
Therefore, the trader gets a profit percentage of 18.8%. Option B is the correct answer.

Choose the word which is different from the rest.
  • a)
    Litchi
  • b)
    Orange
  • c)
    Pear
  • d)
    Apple
Correct answer is option 'B'. Can you explain this answer?

Kajal Desai answered
Understanding the Options
In the provided list, we have four types of fruits:
- a) Litchi
- b) Orange
- c) Pear
- d) Apple
Analysis of the Fruits
Let’s examine each fruit closely to understand why "Orange" is the odd one out.
1. Type of Fruit
- Litchi, Pear, and Apple are classified as soft fruits. They have a delicate texture and are usually consumed fresh or in desserts.
- Orange, on the other hand, is categorized as a citrus fruit, known for its tangy flavor and high vitamin C content.
2. Taste Profile
- Litchi, Pear, and Apple generally have a sweet or mildly sweet taste.
- Orange is distinctly tart and acidic, which sets it apart from the sweetness of the others.
3. Botanical Family
- Litchi belongs to the family Sapindaceae.
- Pear and Apple fall under the family Rosaceae.
- Orange belongs to the family Rutaceae.
This botanical classification highlights the significant differences among these fruits.
Conclusion
Considering the points above, the word "Orange" is different because:
- It is a citrus fruit, while the others are not.
- It has a uniquely tangy taste compared to the sweet flavors of Litchi, Pear, and Apple.
- It belongs to a different botanical family than the other three.
Thus, option 'b' is correctly identified as the answer.

In a horse racing, there are three horses, P, Q, and R. The Payoffs at P is 3: 7, at Q, is 4: 9, at R, is 5: 11. Salman bets Rs. 693 on a horse which would fetch the maximum amount. Luckily his horse has won. Then what is the total amount won by him?
  • a)
    Rs.990
  • b)
    Rs.1001
  • c)
    Rs.1008
  • d)
    Rs.1011
Correct answer is option 'C'. Can you explain this answer?

Kiran Desai answered
Understanding the Payoffs
In horse racing, the payoffs indicate how much a bettor can win based on their stake. Here are the payoffs for each horse:
- Horse P: 3:7
- Horse Q: 4:9
- Horse R: 5:11
Calculating Maximum Payoff
To determine which horse yields the maximum return on the Rs. 693 bet, we need to convert the payoffs into a decimal format and calculate the total return for each horse.
Horse P
- Payoff Ratio: 3:7
- For every Rs. 7 bet, you win Rs. 3.
- Total Amount Won = (693 / 7) * 3 = Rs. 297.43
- Total Return = Stake + Winnings = 693 + 297.43 = Rs. 990.43 (approx. Rs. 990)
Horse Q
- Payoff Ratio: 4:9
- For every Rs. 9 bet, you win Rs. 4.
- Total Amount Won = (693 / 9) * 4 = Rs. 308
- Total Return = Stake + Winnings = 693 + 308 = Rs. 1001
Horse R
- Payoff Ratio: 5:11
- For every Rs. 11 bet, you win Rs. 5.
- Total Amount Won = (693 / 11) * 5 = Rs. 315
- Total Return = Stake + Winnings = 693 + 315 = Rs. 1008
Conclusion
After calculating the returns for each horse, the maximum payout comes from Horse R, which amounts to Rs. 1008. Therefore, the correct answer is:
Rs. 1008 (Option C)

Two pipes M and N can fill a tank in 8 minutes and 12 minutes respectively. If both the pipes are opened simultaneously, after what time should N be closed so that the tank is full in 6 minutes?
  • a)
    1 min
  • b)
    2 min
  • c)
    3 min
  • d)
    4 min
Correct answer is option 'C'. Can you explain this answer?

Calculation:
To find the time after which pipe N should be closed, we need to consider the rate at which the tank is filled by both pipes M and N.
Let the tank's total capacity be 1 unit.

Rate of filling:
- Pipe M fills the tank in 8 minutes, so its rate of filling = 1/8 units per minute.
- Pipe N fills the tank in 12 minutes, so its rate of filling = 1/12 units per minute.
When both pipes are open:
- Combined rate of filling = 1/8 + 1/12 = 5/24 units per minute.

Time to fill the tank in 6 minutes:
To fill the tank in 6 minutes, the total amount filled in 6 minutes by both pipes should be equal to the tank's capacity, which is 1 unit.
Total amount filled in 6 minutes = (5/24) * t + (1/12) * (6-t) = 1, where t is the time after which pipe N should be closed.
Solving the equation:
- (5/24) * t + (1/12) * (6-t) = 1
- 5t/24 + (6-t)/12 = 1
- 5t/24 + 6/12 - t/12 = 1
- 5t/24 + 1/2 - t/12 = 1
- 5t/24 - t/12 = 1 - 1/2
- 5t/24 - 2t/24 = 1/2
- 3t/24 = 1/2
- t = 4
Therefore, N should be closed after 4 minutes so that the tank is full in 6 minutes.

Conclusion:
The correct answer is option C) 3 min.

Choose the word which is different from the rest.
  • a)
    Scallop
  • b)
    Mussel
  • c)
    Oyster
  • d)
    Clam
Correct answer is option 'A'. Can you explain this answer?

Understanding the Options
The four options provided are all types of shellfish, but they belong to different families within the mollusk category.
Categories of Shellfish
- Scallop:
- Belongs to the family Pectinidae.
- Known for their fan-shaped shells and ability to swim by clapping their shells together.
- Mussel:
- Part of the Mytilidae family.
- Typically found in freshwater and marine environments, recognized for their elongated, asymmetrical shells.
- Oyster:
- Comes from the Ostreidae family.
- Known for their rough, irregular shells and often cultivated for pearls.
- Clam:
- A member of the Veneridae family.
- Characterized by their oval-shaped shells and burrowing behavior.
Why Scallop is Different
- Swimming Ability:
- Scallops are unique among the listed options because they can swim by rapidly closing and opening their shells, which is not a trait of mussels, oysters, or clams.
- Shell Shape and Structure:
- Scallops have a distinct fan-shaped shell, while the others have more symmetrical and rounded shells.
- Culinary Uses:
- While all are edible, scallops are often considered a delicacy and have a different texture and flavor profile compared to the others.
Conclusion
In summary, scallops stand out due to their unique swimming ability, shell shape, and culinary distinction, making them different from mussels, oysters, and clams.

If the price of an article is increased by 15%, then by how much the household should decrease their consumption so as to keep his expenditure same.
  • a)
    11(1/23)%
  • b)
    11(2/23)%
  • c)
    13(1/23) %
  • d)
    13(2/23)%
Correct answer is option 'C'. Can you explain this answer?

Rhea Mehta answered
Explanation:
To calculate the decrease in consumption needed to keep the expenditure the same after a 15% price increase, we can use the following formula:
Let x be the original price of the article and y be the original quantity consumed.
Expenditure = Price * Quantity
After a 15% increase in price, the new price will be 1.15x. Let z be the new quantity to be consumed to keep the expenditure the same.
Therefore,
Expenditure = 1.15x * z
To keep the expenditure the same:
x * y = 1.15x * z
Solving for z:
z = (x * y) / (1.15x)
z = y / 1.15
z = 13.043y

Calculation:
The decrease in consumption needed to keep the expenditure the same is:
Decrease = y - z
Decrease = y - 13.043y
Decrease = -0.043y
To calculate the percentage decrease:
Percentage Decrease = (0.043y / y) * 100%
Percentage Decrease = 4.3%
Therefore, the household should decrease their consumption by 13(1/23)% to keep their expenditure the same after a 15% price increase.
So, the correct answer is option C. 13(1/23)%.

If CALM is written as XZON, YEAR may be written as
  • a)
    BVIZ
  • b)
    BVZJ
  • c)
    BVZI
  • d)
    BZVI
Correct answer is option 'C'. Can you explain this answer?

Codebreakers answered
The concept of Reverse EJOTY is followed.
Or we can also say that the sum of the letter & its respective coded letter is 27.
Y+B=25+2=27, E+V=5+22=27, and so on.
Hence code for YEAR is ‘BVZI’.

Peace: Chaos:: Creation:?
  • a)
    Build
  • b)
    Manufacture
  • c)
    Destruction
  • d)
    Construction
Correct answer is option 'C'. Can you explain this answer?

Pk Academy answered
As the opposite meaning of peace is chaos
Therefore, the opposite meaning of creation is destruction.

Country: President:: State: ?
  • a)
    Legislator
  • b)
    Minister
  • c)
    Governor
  • d)
    M.P
Correct answer is option 'C'. Can you explain this answer?

Codebreakers answered
President is the nominal head of a Country
Similarly, Governor is the nominal head of a State

Dr. Gopal walks at 4/5 of his normal speed and takes 60 mins more than the usual time. What will be the new time taken by Dr. Gopal?
  • a)
    220 mins
  • b)
    235 mins
  • c)
    260 mins
  • d)
    300 mins
Correct answer is option 'D'. Can you explain this answer?

CodeNation answered
According to the given information
4/5 of speed = 5/4 of the original time
5/4 of original time = original time + 60 mins
1/4 of original time = 60 mins
Hence, original time = 60*4 = 240 mins = 240 + 60 = 300 mins

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