Exams

If Tan θ = 7/24, then what is the value of Cosec θ?

Read the following passage carefully and choose the most appropriate answer to the question out of the four alternatives.

Implanting standards, right values, the science of good and evil are an essential part of education. Many forces thwart this to work, but two of the most serious hindrances to it are examinations and specialization. The examination system is both an opiate and a poison. It is an opiate because it lulls Man into believing that all is well when most is ill. It is a poison because it paralyses or at least slows down the natural activities of the healthy mind. Man finds himself a creature of unknown capacities in an unknown world, wants to learn what the world is like, what he should be and do in it. To help him in answering these questions is the one and only purpose of education. However, tests of progress are useful and necessary. Examinations are harmless when the examinee is indifferent to their result, but as soon as they matter, they begin to distort his attitude to education and to conceal its purpose. For disinterestedness is the essence of all good education and liberal education is impossible without it.

The author considers specialization as :

In a Rhombus ABCD, measure of angle CAB is 30°, what is the measure of angle ABC?

In the following question, a sentence / a part of sentence is underlined. Below are given alternatives to the underlined part which may improve the sentence. Choose the correct alternative. In case no improvement is required, choose "No Improvement" option.

She was completely nonplussed by the erratic behaviour of her father.

What is the value of (4/3) cot2 (p/6) + 3 cos2 (150) – 4 cosec2 45 + 8 sin (p/2)?

What is the value of tan 300°?

The distance between the centres of two circles is 61 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?

In a circle with centre O, AB is a diameter and CD is a chord which is equal to the radius OC. AC and BD are extended in such a way that they intersect each other at a point P, exterior to the circle. The measure of ∠APB is