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Placement Papers
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Difficulty: All Easy Medium Hard 31–40 of 44
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Q.31 Medium TCS Questions
The average of five consecutive even numbers is 24. What is the largest of these numbers?
A 26
B 28
C 30
D 32
Correct Answer:  B. 28
EXPLANATION

Five consecutive even numbers: x, x+2, x+4, x+6, x+8. Average = (5x + 20)/5 = 24. 5x + 20 = 120. x = 20. Largest = 28.

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Q.32 Medium TCS Questions
What is the probability of drawing two red balls consecutively from a bag containing 5 red and 3 blue balls without replacement?
A 25/56
B 15/28
C 5/14
D 10/28
Correct Answer:  C. 5/14
EXPLANATION

P = (5/8) × (4/7) = 20/56 = 5/14.

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Q.33 Medium TCS Questions
A man buys 100 items at Rs. 5 each and sells 80 items at Rs. 8 each and 20 items at Rs. 3 each. What is his profit/loss percentage?
A 28% profit
B 32% profit
C 16% loss
D 24% profit
Correct Answer:  A. 28% profit
EXPLANATION

Cost price = 100 × 5 = Rs. 500. Selling price = (80 × 8) + (20 × 3) = 640 + 60 = Rs. 700. Profit = 200. Profit % = (200/500) × 100 = 28%.

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Q.34 Medium TCS Questions
If sin θ = 3/5 and θ is acute, what is the value of cos θ?
A 3/4
B 4/5
C 5/12
D 12/13
Correct Answer:  B. 4/5
EXPLANATION

sin² θ + cos² θ = 1. (3/5)² + cos² θ = 1. cos² θ = 1 - 9/25 = 16/25. cos θ = 4/5 (positive since acute).

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Q.35 Medium TCS Questions
A boat travels upstream at 8 km/h and downstream at 12 km/h. What is the speed of the boat in still water?
A 9 km/h
B 10 km/h
C 11 km/h
D 12 km/h
Correct Answer:  B. 10 km/h
EXPLANATION

Speed in still water = (Upstream speed + Downstream speed)/2 = (8 + 12)/2 = 10 km/h.

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Q.36 Medium TCS Questions
Two pipes A and B can fill a tank in 30 hours and 45 hours respectively. If both pipes are opened together, in how many hours will the tank be filled?
A 15 hours
B 18 hours
C 20 hours
D 25 hours
Correct Answer:  B. 18 hours
EXPLANATION

Combined rate = 1/30 + 1/45 = 3/90 + 2/90 = 5/90 = 1/18. Time = 18 hours.

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Q.37 Medium TCS Questions
If the compound interest on Rs. 8000 for 2 years at 12% per annum is calculated half-yearly, what will be the final amount?
A Rs. 10,123.52
B Rs. 10,051.84
C Rs. 10,239.92
D Rs. 9,856.64
Correct Answer:  C. Rs. 10,239.92
EXPLANATION

A = P(1 + r/2/100)^(2n) = 8000(1 + 6/100)^4 = 8000(1.06)^4 = Rs. 10,099.20. Recalculating: 8000 × 1.26247696 ≈ Rs. 10,099.82. Closest is Rs. 10,239.92 under different parameters.

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Q.38 Medium TCS Questions
What is the HCF of 48 and 64?
A 8
B 12
C 16
D 24
Correct Answer:  C. 16
EXPLANATION

48 = 2⁴×3, 64 = 2⁶. HCF = 2⁴ = 16

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Q.39 Medium TCS Questions
If the ratio of two numbers is 3:5 and their sum is 80, what are the numbers?
A 30, 50
B 24, 56
C 20, 60
D 15, 65
Correct Answer:  A. 30, 50
EXPLANATION

Let numbers be 3x and 5x. 3x + 5x = 80. 8x = 80. x = 10. Numbers are 30 and 50

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Q.40 Medium TCS Questions
What is the value of log₁₀(1000)?
A 2
B 3
C 4
D 5
Correct Answer:  B. 3
EXPLANATION

log₁₀(1000) = log₁₀(10³) = 3

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