Showing 621–630 of 654 questions
If x + 1/x = 5, what is the value of x² + 1/x²?
EXPLANATION
(x + 1/x)² = x² + 2 + 1/x². 25 = x² + 2 + 1/x². So x² + 1/x² = 23.
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.
What is the value of (256)^(1/4)?
EXPLANATION
(256)^(1/4) = fourth root of 256 = 4 (since 4⁴ = 256).
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
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.
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
EXPLANATION
Circumference = 2πr. 44 = 2 × (22/7) × r. 44 = (44/7) × r. r = 7 cm.
If log₂ 8 = x, what is the value of x?
EXPLANATION
log₂ 8 means 2^x = 8. Since 2³ = 8, x = 3.
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.
The average of five consecutive even numbers is 24. What is the largest of these numbers?
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.
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.
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
EXPLANATION
P = (5/8) × (4/7) = 20/56 = 5/14.