Correct Answer: (C) Propagative

Explanation

(a) \(\frac{3}{2p - \frac{1}{2}} = \frac{\frac{1}{3}}{\frac{1}{4}p + 1}\)

\(\implies 3(\frac{1}{4}p + 1) = \frac{1}{3}(2p - \frac{1}{2})\)

\(\frac{3}{4}p + 3 = \frac{2}{3}p - \frac{1}{6}\)

\(\frac{3}{4}p - \frac{2}{3}p = - 3 - \frac{1}{6}\)

\(\frac{1}{12}p = - 3\frac{1}{6}\)

\(p = \frac{-19}{6} \div \frac{1}{12}\)

\(p = \frac{-19}{6} \times 12 = -38\)

(b) \(5% \times ¢760.00 = \frac{5}{100} \times ¢760 = ¢38.00\)

So the TV set was actually sold for ¢(760 - 38) = ¢722.00

Using,

\(% profit = \frac{\text{SP - CP}}{CP} \times 100%\)

\(20% = \frac{760 - x}{x} \times 100%\)

\(20% x = (760 - x) \times 100%\)

\(x = 5(760 - x) \implies x = 3800 - 5x\)

\(6x = 3800 \implies x = ¢633.33\)

Thus, the actual profit = actual SP - CP

= ¢(722 - 633.33)

= ¢88.67

Hence, actual %age profit = \(\frac{88.67}{633.33} \times 100%\)

= 14.0006%

= 14% (2 sig. figs)

Correct Answer: C. marketing concept

Correct Answer: B. Unlike gases, vapour can easily be condensed into liquids

Correct Answer: B. Nitrogen fixation

Explanation

Nitrogen fixation is the process in the nutrient cycle that converts atmospheric nitrogen (N2) into a form that plants can utilize, typically ammonium (NH4+) or nitrate (NO3-). This process is carried out by nitrogen-fixing bacteria, which can either be free-living in the soil or form mutualistic relationships with certain plants, such as legumes.

Correct Answer: B. chain stores

Explanation

A chain store is one of a series of shops owned by one firm and selling the same goods.

Correct Answer: D. absence of cloud cover

Correct Answer: A. 1.2\(\Omega\)

Explanation

R = \(\frac{v}{I}\)

= \(\frac{120}{100}\)

= 1.2\(\Omega\)

Correct Answer: C. nation

Explanation

(a)Man ' ahdatha fi'amrina hadha ma laysa minhu fahuwa raddun wafi riwayatin li Muslimin 'Man 'amila 'amalan laysa alayhi amruna fahuwa raddun.

(b)"Whosoever introduces into this affair of ours (i.e. into Islam) something that does not belong to it, it is to be rejected."

(c)This hadith is related to a very important concept which is following the Sunnah and violating this concept will lead to bida'ah. Scholars classify actions of the Prophet(S.A.W.) into actions done for the purpose of Ibadah (worshiping Allah) and actions which are not done for that purpose (i.e.

customs, actions done haphazardly, etc.). There are clear indicators for actions done for the purpose of Ibadah such as commands to do or not to do something, warnings for not doing something, etc.

Muslims are only obliged to follow the first kind of Sunnah.

Looking at it in a positive way, the actions (i.e.forms of ibadah) that we do should be done in accordance with the Shariah or the Sunnah of the Prophet(S.A.W.)