Exams

What is the simplified value of (cosec A – sin A)(sec A – cos A)(tan A + cot A)?

The angles of depression of two ships from the top of a light house are 45° and 30° toward east. If the ships are 200m apart, the height of the light house is (take √3=1.73)

The following situations involve a cluster of three or more geometrical figures, having one or more dots placed at any point inside the cluster. This cluster is followed by a set of four alternative figures each composed of a cluster of the same type of figures. Now, for each dot we have to observe the region in which it is enclosed i.e. In which of the geometrical figure this region is common. From amongst the figures marked (a), (b), (c) and (d), select the figure which satisfies the same conditions of placement of the dot as in fig. (X).

In the following questions, relationship between different elements are shown in the statements. These statements are followed by two conclusions. Give answer

Statements: K>L = M<=N, O < L>=P

Conclusions:

I.K>=O

II.N>=O

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 the following question, out of the given four alternatives, select the one which is opposite in the meaning of the given word.

Acerbic

In the following passage some of the words have been left out. Read the passage carefully and choose the correct answer for the given blank out of the four alternatives.

The nation has been _____as a relatively extensive, territorial relation of nativity. We have further formulated the_____of the nation as a territorially_____, yet bounded, social relation for the generation, transmission, and ____of life. When the nation is a national state, it is also a_____for the protection of life. The nation is often ______by the metaphor of familial relations and, indeed, has sometimes been considered as some kind of_____family. This is understandable because both the nation and the family are relations of_____. Nonetheless, there is an important difference, and to understand this will _____a more detailed examination of the_____ between territory and bonding.

for the generation, transmission, and _____ of life

In the following question, sentence given with blank is to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.

Expectant mothers are more ____________ to lung damage due to smoking.