Deloitte — Interview Questions
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Showing 41–50 of 654 questions
Q.41 Medium Deloitte
A boat covers 15 km upstream and 25 km downstream in 5 hours. What is the speed of the boat in still water if the river current is 2 km/h?
A 6 km/h
B 8 km/h
C 10 km/h
D 12 km/h
Correct Answer:  B. 8 km/h
Explanation:

Let boat speed = b. Upstream speed = b-2, Downstream speed = b+2. 15/(b-2) + 25/(b+2) = 5. Solving gives b = 8 km/h

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Q.42 Easy Deloitte
What percentage of 250 is 75?
A 20%
B 25%
C 30%
D 35%
Correct Answer:  C. 30%
Explanation:

(75/250) × 100 = 30%

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Q.43 Medium Deloitte
If the ratio of A:B:C is 2:3:5 and their sum is 100, what is the value of C?
A 20
B 30
C 50
D 60
Correct Answer:  C. 50
Explanation:

Let A=2x, B=3x, C=5x. Sum = 10x = 100, so x=10. Therefore C = 5×10 = 50

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Q.44 Medium Deloitte
Two numbers are in the ratio 3:4. If their sum is 140, what is the larger number?
A 60
B 70
C 80
D 90
Correct Answer:  C. 80
Explanation:

Let numbers be 3x and 4x. Sum = 7x = 140, so x = 20. Larger number = 4×20 = 80

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Q.45 Medium Deloitte
What is the equation of a line passing through (2,3) with slope 4?
A y = 4x - 5
B y = 4x + 3
C y = 4x - 3
D y = 2x + 4
Correct Answer:  A. y = 4x - 5
Explanation:

Using y - y₁ = m(x - x₁): y - 3 = 4(x - 2) → y = 4x - 5

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Q.46 Easy Deloitte
A man spends 40% of his salary on food, 30% on rent, and saves the rest. If his salary is Rs. 50,000, how much does he save?
A Rs. 10,000
B Rs. 12,000
C Rs. 15,000
D Rs. 18,000
Correct Answer:  C. Rs. 15,000
Explanation:

Savings = 100% - 40% - 30% = 30%. 30% of 50,000 = 15,000

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Q.47 Easy Deloitte
If a person invests Rs. 5000 at 8% simple interest per annum for 3 years, what is the total amount?
A Rs. 6200
B Rs. 6400
C Rs. 6800
D Rs. 7200
Correct Answer:  A. Rs. 6200
Explanation:

SI = (P × R × T)/100 = (5000 × 8 × 3)/100 = 1200. Total = 5000 + 1200 = 6200

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Q.48 Easy Deloitte
A number when divided by 7 leaves remainder 3. What is the number if the quotient is 8?
A 56
B 57
C 58
D 59
Correct Answer:  D. 59
Explanation:

Number = Divisor × Quotient + Remainder = 7 × 8 + 3 = 56 + 3 = 59

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Q.49 Medium Deloitte
If 3 men can complete a task in 8 days, how many men are needed to complete it in 6 days?
A 3
B 4
C 5
D 6
Correct Answer:  B. 4
Explanation:

Total work = 3 × 8 = 24 man-days. Men needed = 24/6 = 4

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Q.50 Medium Deloitte
What is the probability of getting a sum of 7 when two dice are rolled?
A 1/6
B 1/8
C 1/12
D 1/18
Correct Answer:  A. 1/6
Explanation:

Favorable outcomes: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6. Total outcomes = 36. Probability = 6/36 = 1/6

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