Pakistan MCQs

A 76 average over 5 tests requires 380 total marks.
The first four total 300, so 80 more marks are needed.

The decrease is 65 units.
Since 65/650 × 100 = 10%, the decrease is 10%.

The total population is 100,000.
The largest town has 45,000, so the fraction is 45/100 = 9/20.

Rent and food use 55%, leaving 45%.
Forty-five percent of Rs. 60,000 is Rs. 27,000.

Compare Tuesday sales with Monday: 210/150 × 100.
This equals 140%.

There are 4 aces among 52 cards.
Thus, the probability is 4/52 = 1/13.

Matrix order is written as rows by columns.
Therefore, 3 rows and 4 columns give order 3 × 4.

The equally likely outcomes are HH, HT, TH, and TT.
Exactly one head occurs in HT and TH, giving 2/4 = 1/2.

Matrix addition is performed entry by entry.
Each corresponding pair sums to 5.

There are 36 equally likely ordered outcomes.
Six outcomes have sum 7, so the probability is 6/36 = 1/6.

For [[a, b], [c, d]], determinant = ad - bc.
Thus, 2 × 4 - 3 × 1 = 5.

An event and its complement have total probability 1.
Thus, P(not A) = 1 - 0.35 = 0.65.