Showing 21–30 of 654 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.
In the 2024-25 TCS recruitment, what is the minimum CGPA requirement for engineering graduates?
A
6.0 CGPA
B
6.5 CGPA
C
7.0 CGPA
D
7.5 CGPA
Correct Answer:
B. 6.5 CGPA
Explanation:
TCS typically requires a minimum of 6.5 CGPA for engineering graduates in 2024-25 recruitment cycle.
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
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).
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%.
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.
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.
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.
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.
If log₂ 8 = x, what is the value of x?
Explanation:
log₂ 8 means 2^x = 8. Since 2³ = 8, x = 3.
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.
