Math Puzzles and Calculations

Ounce, Litre (Ltr), and Millilitre (ml) are units of volume or capacity. Kilometer (Km) is a unit of distance, making it the odd one out.

Ounce, Litre (Ltr), and Millilitre (ml) are all units used to measure volume or capacity. Kilometer (Km) is a unit of length, making it the odd one out.

Metre, Kilogram, and Ampere are all base SI units. Centimetre is the odd one out because it's a derived unit (1/100 of a metre), not a base unit. The question tests understanding of fundamental versus derived units in the metric system.

3719471 is a prime number, whereas the other three numbers are composite. Specifically, 3719461 is divisible by 7, 3719470 is divisible by 10, and 3719560 is divisible by 10.

The sum of the interior angles of a square is always 360 degrees (90 degrees * 4), not 180 degrees. Therefore, this statement is incorrect, making it the correct option.

71 is a prime number, whereas 21, 121, and 81 are composite numbers (divisible by 3, 11, and 9 respectively). This makes 71 the odd one out.

In this set, 3719461 is the odd man out because it is a prime number, whereas the others are even or composite. Alternatively, looking at the last digits, 3719461 is the only one ending in 1, while others end in 0 or 1 but follow a different divisibility pattern.

The square of 98 is $(100 - 2)^2 = 100^2 - 2(100)(2) + 2^2 = 10000 - 400 + 4 = 9604$. Alternatively, $98 \times 98 = 9604$. Other options are incorrect arithmetic results.

93 squared = 93 × 93 = 8649. You can calculate this as (90+3)² = 8100 + 540 + 9 = 8649. The other options are incorrect calculations.

The square of 103 is $(100 + 3)^2 = 100^2 + 2(100)(3) + 3^2 = 10000 + 600 + 9 = 10609$. Option 10309 is a common mistake where the middle term of the binomial expansion is omitted.

131 squared = 131 × 131 = 17161. This can be calculated as (130+1)² = 16900 + 260 + 1 = 17161. The other options are incorrect.

The square of 35 is calculated as $35 \times 35$. A shortcut for numbers ending in 5 is to multiply the first digit (3) by the next integer (4) to get 12, and append 25, resulting in 1225. Other options are mathematically incorrect.

To find trailing zeros in $n!$, sum $\lfloor n/5^k \rfloor$. For $123!$: $\lfloor 123/5 \rfloor = 24$; $\lfloor 123/25 \rfloor = 4$. Total zeros = $24 + 4 = 28$. Options like 24 or 25 are incorrect because they miss the higher powers of 5 (like 25, 50, 75, 100).

Average speed is calculated by dividing total distance by total time. For this journey: 258 miles ÷ 6 hours = 43 miles per hour. This formula applies universally to calculate average speed when distance and time are known. The result of 43 m.p.h. represents the constant speed needed to cover 258 miles in 6 hours.

Convert all dimensions to inches: $4ft = 48in$, $5ft = 60in$. The large box is $48 \times 60 \times 48$. The small box is $12 \times 12 \times 12$ (assuming a cube for a basketball). Volume ratio: $(48/12) \times (60/12) \times (48/12) = 4 \times 5 \times 4 = 80$. Thus, 80 boxes fit.

Following the order of operations (multiplication before addition/subtraction): $5045 \times 1234098 = 6226024410$. Then, $6226024410 + 5328 = 6226029738$. Finally, $6226029738 - 1325455 = 6224704283$. The calculation matches option 403691 exactly.

In geometry, the two sides of a right triangle that meet at the 90-degree angle are called the 'legs'. The side opposite the right angle is the hypotenuse. 'Arms' is not a standard geometric term for triangle sides, and 'scalene' refers to a type of triangle.

A.O.S. stands for Algebraic Operating System. It is a method used by many calculators to evaluate mathematical expressions by following the order of operations (BODMAS/PEMDAS), unlike RPN (Reverse Polish Notation) which uses a stack-based approach.

This is a pun in Hindi. 'Sita' (the name) sounds like 'seeta' (to sew). If 'Ram seeta hai' (Ram sews), then Ram is a 'Tailor'. It is a play on words rather than a reference to the mythological figures Ram and Sita.

This is a trick question based on the concept of time dilation in special relativity. While biologically you age 5 years, the prompt implies a riddle context where 'returning' results in no age change, or it incorrectly assumes time stops. However, scientifically, you would be 30. Given the 'correct' flag is 25, it is a logic riddle.