Govt. Exams
Entrance Exams
Minute hand at 3 (90°). Hour hand moves 0.5° per minute, so at 15 min: 90 + 7.5 = 97.5°. Difference = 97.5 - 90 = 7.5°
Grandfather's only son = her father. Father's son = her brother
Pattern: n(n+1). 1×2=2, 2×3=6, 3×4=12, 4×5=20, 5×6=30, 6×7=42
This is a pattern-recognition problem where we must discover the hidden operation rule connecting the inputs and outputs.
Step 1: Analyze the first given equation
For \(5 * 4 = 19\), test different operations:
Step 2: Verify the pattern with the second equation
For \(7 * 3 = 22\), apply the same rule:
So the rule is not simply \(a \times b - 1\). Let's try: \(a \times b + (a - b)\)
Let's try: \(a \times b + (a + b)\)
Step 3: Test alternating patterns
Actually, let me reconsider. For \(5 * 4 = 19\):
For \(7 * 3 = 22\):
The pattern alternates: subtract 1 when the first number is odd and second is even, add 1 when the first number is odd and second is odd.
Step 4: Apply the rule to \(6 * 5 = ?\)
Since 6 is even and 5 is odd (different from both previous cases), we follow the pattern:
Answer: \(6 * 5 = 29\) (Option A)
Karnataka launched India's first comprehensive AI-assisted governance portal in 2024, integrating multiple citizen services through artificial intelligence. This initiative aims to streamline service delivery and reduce administrative burden.
Let the numbers be 3x and 5x. Sum = 3x + 5x = 8x = 80, so x = 10. Larger number = 5x = 50.
As of 2024, India has 8 Union Territories: Andaman and Nicobar Islands, Chandigarh, Dadra and Nagar Haveli, Daman and Diu, Delhi, Ladakh, Lakshadweep, and Puducherry.
Bal Gangadhar Tilak was called 'Lokmanya' (beloved of the people) for his significant role in the Indian independence movement.
The Bhamashah Yojana was launched by Rajasthan government to provide direct cash transfer and benefits to women from below poverty line families.
Each letter is represented by its position in the alphabet: A=1, P=16, P=16, L=12, E=5. So APPLE = 1-16-16-12-5.
