Question
In the following questions, a sentence is divided into
four parts. Choose the part(s)Ā of the sentence which may contain a grammatical error in it. If all the parts of the sentence are grammatically correct and contextually meaningful, choose option (e) i.e. āno errorā as your answer choice. While the lanes branching in from the Charminar are officially designated as pedestrian zones, (a) handcarts, auto-rickshaws, and scooters operated with shopkeepers and even (b) law enforcement personnel continues to clutter the streets. The volume of kiosks, (c) both movable and fixed, has surged, rendering the stretch nearly impassable. (d)Solution
(a) "While the lanes branching in from the Charminar are officially designated as pedestrian zones," Ā ābranching in fromā is awkward and not idiomatic. Ā ābranching out fromā is the conventional expression for roads or lanes extending away from a central point. (b) "handcarts, auto-rickshaws, and scooters operated with shopkeepers and evenā "operated with shopkeepers" is incorrect ā the right preposition is ābyā (they are being operated by someone, not with them). (c) The subject āhandcarts, auto-rickshaws, and scootersā is plural, so the verb should be ācontinueā (not "continues").
- Simplify the following trigonometric expression:
15 cos 27° sec 63° ā 9 cot 61° tan 29° If ā3 tan 2Īø ā 3 = 0, then find the value of tanĪø secĪø ā cosĪø where 0 < Īø < 90°
If (cos A - sin A) = ā2 cos (90° - A), then find the value of cot A.


If tan 3.5θ x tan 6.5θ = 1 then the value of tan 5θ is
Find the maximum value of 14 sin A + 24 cos A.

- If cos Īø = (4x² ā 1)/(1 + 4x²) then find the value of sin q.
The minimum value of 9 cos2 Īø + 36 sec2 ĪøĀ isĀ