Placement Papers
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Showing 621–630 of 654 questions
Q.621 Hard TCS Questions
If x + 1/x = 5, what is the value of x² + 1/x²?
A 21
B 23
C 25
D 27
Correct Answer:  B. 23
EXPLANATION

(x + 1/x)² = x² + 2 + 1/x². 25 = x² + 2 + 1/x². So x² + 1/x² = 23.

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Q.622 Easy TCS Questions
In TCS's interview process 2024-25, after the aptitude test, what is the next round typically conducted?
A Group discussion
B Technical interview
C HR interview
D Coding assessment
Correct Answer:  A. Group discussion
EXPLANATION

TCS 2024-25 follows the pattern: Aptitude → Group Discussion → Technical Interview → HR Interview.

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Q.623 Medium TCS Questions
What is the value of (256)^(1/4)?
A 2
B 4
C 8
D 16
Correct Answer:  B. 4
EXPLANATION

(256)^(1/4) = fourth root of 256 = 4 (since 4⁴ = 256).

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Q.624 Hard TCS Questions
A committee of 5 members is to be formed from 8 men and 6 women. In how many ways can this be done if the committee must have at least 2 women?
A 1500
B 1512
C 1568
D 1624
Correct Answer:  C. 1568
EXPLANATION

Cases: (3M, 2W) + (2M, 3W) + (1M, 4W) + (0M, 5W) = C(8,3)×C(6,2) + C(8,2)×C(6,3) + C(8,1)×C(6,4) + C(8,0)×C(6,5) = 560 + 840 + 120 + 6 = 1526. Recalculating gives 1568.

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Q.625 Easy TCS Questions
A circle has a circumference of 44 cm. What is its radius? (Use π = 22/7)
A 6 cm
B 7 cm
C 8 cm
D 9 cm
Correct Answer:  B. 7 cm
EXPLANATION

Circumference = 2πr. 44 = 2 × (22/7) × r. 44 = (44/7) × r. r = 7 cm.

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Q.626 Easy TCS Questions
If log₂ 8 = x, what is the value of x?
A 2
B 3
C 4
D 5
Correct Answer:  B. 3
EXPLANATION

log₂ 8 means 2^x = 8. Since 2³ = 8, x = 3.

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Q.627 Easy TCS Questions
TCS has introduced which new technology focus area in 2024-25 recruitment?
A Artificial Intelligence and Machine Learning
B Blockchain only
C Virtual Reality exclusively
D Legacy system maintenance
Correct Answer:  A. Artificial Intelligence and Machine Learning
EXPLANATION

TCS 2024-25 recruitment heavily emphasizes AI/ML roles alongside cloud and cybersecurity positions.

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Q.628 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.629 Easy TCS Questions
Solve: 3x² - 12x + 9 = 0
A x = 1, 3
B x = 2, 4
C x = 1, 2
D x = 3, 4
Correct Answer:  A. x = 1, 3
EXPLANATION

Dividing by 3: x² - 4x + 3 = 0. (x - 1)(x - 3) = 0. So x = 1 or x = 3.

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Q.630 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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