12. Some apples are divided among four people Karan, Kiran, Kumar and Khanna. The ratio of the number of apples given to Kiran to the total number of apples given to Karan and Khanna is \( 1: 2 \). The ratio of the number of apples given to Kumar to that of the remaining apples is \( 2: 5 \). Khanna gets 2 apples more than Kiran. Karan gets half the number of apples that Kumar gets. What is the total number of apples distributed? \( \begin{array}{ll}\text { (A) } 21 & \text { (B) } 18 \\ \text { (C) } 19 & \text { (D) } 24\end{array} \)

(3) \( 2 p+q=30 \) \( p=2 q \)

T2.2 Consider a cylindrical nickel wire 2.0 mm in diameter, \( 3 \times 10^{4} \mathrm{~mm} \) long, with Young's modulus \( E=207 \mathrm{GPa} \). Calculate its extension when a force of 300 N is applied.

Mr Nkosi wants to know which teaching style the Grade 8 leamers prefer duning the national Covid-19 lockdown. He gives questionnaire M to each of the 175 grade 8 leamers and questionnaire N to (er। leamers from each of the five grade 8 classes. 1.2 .1 Which learners represent the population? 1.2 .2 Which leamers represent the sample?

19. \( P \) and \( Q \) are distinct two-digit numbers. \( P s \) and \( Q s \) denote the sums of the digits in \( P \) and \( Q \) respectively, If \( \frac{P}{P_{s}}=\frac{Q}{Q_{s}} \), then find the minimum possible value of \( P_{s}+Q_{8} \) \( \begin{array}{llll}\text { (A) } 8 & \text { (B) } 9 & \text { (C) } 6 & \text { (D) } 3\end{array} \)

answer type questions. Draw a ray diagram for the formation of image in a concave mirror with their prope when the objects are placed: \( \begin{array}{ll}\text { between the poles and } F & \text { (b) between } F \text { and } C \\ \text { beyond } C & \text { (d) at infinity }\end{array} \)