Tag: general knowledge

The Volga is the longest river in Europe and flows through central Russia into the Caspian Sea. It does not reach the Mediterranean, Black, or Dead Seas, which are served by other major river systems like the Danube or Dnieper.

New Amsterdam was the original Dutch name for New York City when it was a Dutch colony in the 17th century. The English captured it in 1664 and renamed it New York. Netherlands is the country itself, while Frankfurt and Washington are different cities entirely.

Rajasthan is the second largest state in India by area after Madhya Pradesh. Maharashtra, Uttar Pradesh, and Andhra Pradesh are large states but smaller than Rajasthan. Note that the premise in the question about Madhya Pradesh being the largest is outdated - it's actually the third largest now, but the question expects Rajasthan as the second largest.

To solve this problem, the user needs to know the concept of distance, speed, and time, and the proportionality between petrol consumption and velocity. The user must calculate the time it takes to travel 100 km at a speed of 100 km/h, subtract the time it takes to travel 80 km, and add the time it takes to travel the remaining 20 km at a reduced speed due to petrol consumption.

Now, let's go through each option and explain why it is right or wrong:

Option A) 10:15: This option is incorrect. The time taken to travel 100 km at 100 km/h is 1 hour. The time taken to travel 80 km at the same speed is 0.8 hours (i.e., 48 minutes). The time taken to travel the remaining 20 km, assuming a reduced speed of 80 km/h due to petrol consumption, is 20/80=0.25 hours (i.e., 15 minutes). Therefore, the earliest time Divya can arrive at the petrol pump is 9 PM + 1 hour + 0.8 hour + 0.25 hour = 10:05 PM.

Option B) 10:20: This option is incorrect. The earliest time Divya can arrive at the petrol pump is 10:05 PM, which is earlier than 10:20 PM.

Option C) 10:30: This option is incorrect. The earliest time Divya can arrive at the petrol pump is 10:05 PM, which is earlier than 10:30 PM.

Option D) 10:00: This option is incorrect. The time taken to travel 100 km at 100 km/h is 1 hour. The time taken to travel 80 km at the same speed is 0.8 hours (i.e., 48 minutes). Therefore, Divya would arrive at the 80 km mark at 9:48 PM. The remaining 20 km would take 20/100*60 = 12 minutes, so she would arrive at the petrol pump at 10 PM, not 10:00 PM.

Therefore, the correct answer is:

The Answer is: A. 10:15

Let x be the original number, y be the sum of its digits, and z be the sum of digits of y. We need x + y + z = 60. The maximum possible sum of digits for any number grows slowly. Testing valid natural numbers: x=48 gives y=12, z=3, so 48+12+3=63. x=47 gives y=11, z=2, so 47+11+2=60 (valid). x=38 gives y=11, z=2, so 38+11+2=51. x=29 gives y=11, z=2, so 29+11+2=42. x=19 gives y=10, z=1, so 19+10+1=30. Continuing this systematic search, we find exactly 3 solutions exist.

Let the salary be S. The man spends 1/2 on household, 1/4 on rent, and 1/5 on travel. Total spent = 1/2 + 1/4 + 1/5 = 10/20 + 5/20 + 4/20 = 19/20. Remaining = 1 - 19/20 = 1/20. This equals 50, so S/20 = 50, hence S = 1000. Verification: 1/2 of 1000 = 500, 1/4 = 250, 1/5 = 200, total spent = 950, remaining = 50.

15 men × 21 days × 8 hours = 2520 man-hours total work. Since 3 women = 2 men, 1 woman = 2/3 man. 21 women = 21 × (2/3) = 14 men. Days needed = 2520 ÷ (14 × 6) = 2520 ÷ 84 = 30 days. Therefore 21 women working 6 hours daily would need 30 days to complete the same work.

Let son's present age be S. Father's present age = S + 30. After 5 years: son will be S + 5, father will be S + 35. Given: S + 35 = 3(S + 5), so S + 35 = 3S + 15, thus 20 = 2S, S = 10. Father's present age = 10 + 30 = 40. Verification: After 5 years, son is 15, father is 45, and 45 = 3 × 15.

Let c be correct answers, w be wrong. Total: c + w = 150, so w = 150 - c. Score: 4c - 2w = 480. Substituting: 4c - 2(150 - c) = 480, 4c - 300 + 2c = 480, 6c = 780, c = 130. Therefore 130 answers were correct and 20 were wrong. Verification: 130 × 4 - 20 × 2 = 520 - 40 = 480.