Fractions and Percentages

Dividing 30 by half (0.5) equals 60. Adding 10 gives 70. Many people incorrectly divide 30 by 2 to get 15, then add 10 to get 25. The key is that half means 0.5, not dividing something in half.

Convert 1/5 to 3/15 (multiply numerator and denominator by 3). Then add: 3/15 + 7/15 = 10/15. Simplify by dividing numerator and denominator by 5: 10/15 = 2/3. Option D is correct (2/3 = 0.666...).

Mathematically, (X/100) * Y is equal to (Y/100) * X. This is due to the commutative property of multiplication. Therefore, X% of Y is the same as Y% of X. The other options like X/Y or 2Y do not satisfy this algebraic identity.

The modulo operator (%) returns the remainder of integer division. When 19 is divided by 4, the quotient is 4 and the remainder is 3 (since 19 = 4*4 + 3). Therefore 19 % 4 equals 3. The result is always an integer when both operands are integers.

Steel is defined as an alloy of iron with carbon content up to 2.0% by weight. When carbon content exceeds 2.0%, the alloy is classified as cast iron, which has different properties like lower melting point and better castability. This 2% threshold is a fundamental metallurgical distinction between steel and cast iron.

The modulo operator (%) returns the remainder after division. When 20 is divided by 3, we get 3 × 6 = 18 with a remainder of 2. Therefore, 20 % 3 equals 2.

The modulo operator % returns the remainder of division. 20 divided by 3 is 6 with remainder 2, so 20 % 3 = 2.

Wine has 8-17% alcohol.

Haq-e-Sherb (also known as haq-i-sharb) was a tax levied on the production and sale of intoxicants like liquor (bhang). Historical records indicate it was approximately 1/10 or 10% of the value, making it a significant revenue source for the Sultanate.

This is the correct answer because % operator has high priority than + operator. So when it executes, the answer will be 3.

By using the formula,

B's age is more than A's age by P/(100 - P) x 100.

 = 15/(100 - 15) x 100 = 17.65%

By using trick,

Q is less than by P = P/(100+P)x100  

Q’s earning is less than P = 40/(100 + 40) x 100

= 28.6%

Let the required number be x. Then, 

X x 30/100 = 114 = 380

Now, 20% of 380 = (380x20)/100 = 76

Let the first number = x and other number = y

So, x*30/100 = y*31/100

x/y = 31/30 

x : y = 31 : 30

So, the required ratio is 31 : 30.

Let the number = x, then

25% of x - 20% of x = 26

5% of x = 26

x*5/100 = 26

x = 520

Now, 3/4 of 520 = 520*3/4 = 390