Tag: general knowledge

China has the world's largest standing military force with approximately 3 million active personnel. This includes the People's Liberation Army (PLA), which is the armed forces of the People's Republic of China. India has the second-largest with around 1.4 million, followed by the USA and Russia.

To find the pattern, look at the differences between consecutive terms: 4, 14, 30, 52, 80, 114. The second differences are: 10, 16, 22, 28, 34 (increasing by 6 each time). The next second difference is 40, so the next first difference is 154, making the next term 294 + 154 = 448. Alternatively, this follows the formula n³ - n² for n = 1, 2, 3, ...: 0, 4, 18, 48, 100, 180, 294, 448.

The smallest number divisible by 1 through 10 is the LCM of these numbers. Prime factorization: 1, 2, 3, 4=2², 5, 6=2×3, 7, 8=2³, 9=3², 10=2×5. The LCM takes the highest power of each prime: 2³ × 3² × 5 × 7 = 8 × 9 × 5 × 7 = 2520. Options A, B, and C are all missing factors.

Using the weighted average formula, the ratio of boys to girls is (80-71)/(71-60) = 9/11. Since the ratio is 9:11, there are more girls than boys. Therefore, Col B is greater than Col A.

If the average of 6 consecutive numbers is 9.5, the numbers are 7, 8, 9, 10, 11, 12. The last three integers are 10, 11, and 12. Their average is (10+11+12)/3 = 11.

If 1500 is the price after a 20% discount, then 1500 represents 80% of the original price. Original Price = 1500 / 0.8 = 1875. 1800 or 2000 would be incorrect calculations.

If the product of two integers is odd, then both integers must be odd (since even × anything = even). The sum of two odd numbers is always even: odd + odd = even. For example: 3 × 5 = 15 (odd), and 3 + 5 = 8 (even). The other options are not necessarily true.

A number that is both a perfect square and cube must be a perfect sixth power (since LCM of 2 and 3 is 6). Check sixth powers: 1⁶ = 1 (not in range 1-200, exclusive), 2⁶ = 64, 3⁶ = 729 (too large). So x = 64. Verify: 8² = 64 and 4³ = 64. Options A (8), B (16), and D (125) are not both perfect squares and cubes.

Vishal-Shekhar composed the music for the 2004 movie 'Musafir', starring Sanjay Dutt and Koena Mitra. The soundtrack included popular songs like 'Saaki' and 'Ishq Kabhi Kariyo Nahi'. A.R. Rahman, Shankar-Ehsaan-Loy, and Pritam are other prominent Bollywood composers but not for this film.