Pakistan MCQs

Five parts equal Rs. 50,000, so one part is Rs. 10,000.
Expenditure is four parts, leaving one part as saving.

Six consecutive integers centered at 17.5 are 15 through 20.
Therefore, the smallest is 15.

The average of 1 through n is (n + 1)/2.
Setting (n + 1)/2 = 20 gives n = 39.

The difference between C and A is 2 ratio parts, equal to Rs. 600.
One part is Rs. 300, so 12 parts total Rs. 3,600.

Initially, milk is 42 liters and water is 18 liters.
For a 7:5 ratio with 42 liters milk, water must be 30 liters, so add 12.

Let the numbers be 5k and 8k; then (5k + 9)/(8k + 9) = 2/3.
Solving gives k = 9, so the smaller number is 45.

The sequence increases by 3 each time.
Adding 3 to 12 gives 15.

Each term is double the previous term.
Therefore, 16 × 2 = 32.

The terms are consecutive perfect squares.
The next term is 5² = 25.

The terms are consecutive cubes.
The next term is 5³ = 125.

The total number of ratio parts is 9, so one part is 720/9 = 80.
The largest share is 4 × 80 = Rs. 320.

Make the common term b equal in both ratios.
Multiplying 4:7 by 2 gives 8:14, so a:b:c = 8:14:15.