Question
In the question below, a sentence is given with four
words highlighted in bold. From the options, choose the number of highlighted in bold which are contextually or grammatically inappropriate. Armed with a newfound belief in the possibilities of behavioural conditioning, psychologists dissented upon schools, homes and workplaces to muster sound conditions and delegate adverse phenomena.Solution
1.      (d) The sentence tells us how psychologists were armed with a newfound (recently discovered) belief in the possibilities of behavioural conditioning, and using this belief, they attacked schools, homes and workplaces to advocate for sound conditions and stop adverse phenomena. DISSENTED means disagreed; DESCENDED would have been more apt here. MUSTER means to assemble; FOSTER means to encourage the development of something, and would be more apt here. DELEGATE means entrust a task to someone else; MITIGATE would have been more apt here. Since 3 words are inappropriate, (d) is the right answer.
If sin α + cos β = 2 (0˚ ≤ β < α ≤ 90˚), then sin[(2α + β)/3] =?
Solve the following trigonometric expression:

- If sin (2A − 3B) = (1/2) and cos (A + B) = (√3/2), where 0° < A, B < 90°, then find the value of ‘A’.
sin2 17˚ + sin2 19˚ + sin2 21˚ + sin2 23˚ + ……… + sin2 77˚ = ?
What is the value of sin(B – C) cos(A – D) + sin(A – B) cos(C – D) + sin(C – A) cos(B – D)?
- If sin (a + b) = (√3/2) and cos (a – b) = (√3/2), then find sin a.
A 16-meter-long rope is stretched from the ground to the top of a house, forming a 30° angle with the ground. Determine the height of the house.
- If sin(A + B) = 1/2 and cos(A + 2B) = √3/2, where 0° < A, B < 90°, then find the value of tan(2A).
What is the value of (1 - sin A)/(1 + Sin A) given that tan A = 5/12 and 0° ≤ A ≤ 90°.