Simplify: \(\frac{\cos 2\theta - 1}{\sin 2\theta}\)

• A. \(-\tan \theta\)
• B. \(-\cos \theta\)
• C. \(\tan \theta\)
• D. \(\cos \theta\)

Apart from the cleanliness of the body and clothes, the devotee who intends to pray must also ensure the cleanliness of the

• A. soul
• B. place
• C. qiblah
• D. water

A living dog is better than a ____

• A. dead horse
• B. dead lion
• C. dead fox
• D. living horse

The following are characteristics of quartz except

• A. being granular
• B. having shiny surface
• C. being glass-like
• D. having cleavage

If \((x - 3)\) is a factor of \(2x^{3} + 3x^{2} - 17x - 30\), find the remaining factors.

• A. (2x - 5)(x - 2)
• B. (2x - 5)(x + 2)
• C. (2x + 5)(x - 2)
• D. (2x + 5)(x + 2)

The most important environmental resources that sustains natural processes in an ecosystem is?

• A. light
• B. water
• C. air
• D. energy

Objects thrown up, always come down due to

• (a) kinetic force
• (b) potential force
• (c) gravitational force
• (d) gravitational pull

Kidney stone is a disease of the Kidney that result in the

• A. blockage of the tubules by solid particles
• B. passing out useful materials of the body fluid within the urine
• C. presence of large quantity of water in urine
• D. passing out hormones in the urine

If the angle between two vector P and Q is O^o, the vectors are said to

• A. intersect at the angle 45^o
• B. intersect at the angle 60^o
• C. be parallel
• D. be perpendicular

What is a soil profile, and what information does it provide in agricultural practices?

• A. A soil profile is an analysis of soil microorganisms and their activities
• B. A soil profile is an assessment of soil compaction and drainage
• C. A soil profile is a vertical section of the soil that reveals its layers or horizons
• D. A soil profile is a measurement of soil pH and nutrient levels