Archives

The general solution of sin x – 3sin 2x + sin 3x = cos x – 3 cos 2x + cos 3x.

Solution: Given sin x - 3 sin 2x + sin 3x = cos x - 3 cos 2x + cos 3x. We know sin C + sin D = 2 sin (C+D)/2 cos (C-D)/2 Also cos C + cos D =... View Article

An emergency vehicle travels 10 miles at a speed of 50 miles per hour. How fast must the vehicle travel on the return trip if the round-trip travel time is to be 20 minutes?

(a) 72 miles per hour (b) 75 miles per hour (c) 65 miles per hour (d) 78 miles per hour Solution: We know speed = distance/time Given... View Article

Expand this: (3x+4y)(3x+5y)

Solution: (3x+4y)(3x+5y) = 3x(3x+5y) + 4y(3x+5y) = 9x2 + 15xy + 12xy + 20y2 = 9x2 + 27xy + 20y2 Hence (3x+4y)(3x+5y) = 9x2 + 27xy + 20y2... View Article

Fill in the blank with a suitable reflexive pronoun from the options given below:

They agreed amongst ___ that they would not tell anyone. (a) herself (b) himself (c) themselves (d) myself Solution: Reflexive pronouns are... View Article

In a class 18 students took Physics, 23 students took Chemistry and 24 students took Mathematics of those 13 took both Chemistry and Mathematics, 12 took both Physics and Chemistry and 11 took both Physics and Mathematics. If 6 students offered all the three subjects, find:

(i) The total number of students. (ii) How many took Mathematics but not Chemistry. (iii) How many took exactly one of the three subjects.... View Article

Evaluate the following:

(i) -8 - 24 + 31 - 26 - 28 + 7 + 19 - 18 - 8 + 33 (ii) -26 - 20 + 33 -(-33) + 21 + 24 - (-25) -26 - 14 - 34 Solution: (i) -8 - 24 + 31 - 26 -... View Article

In the given question, select the related number from the given alternatives. 30 : 130 : : ? : ?

(a) 20 : 120 (b) 37 : 210 (c) 42 : 222 (d) 49 : 350 Solution: Here 30 = 6 × 5 130 = 26 × 5 26 - 6 = 20 Similarly 5 × 4... View Article

Right To Recall

The Right to Recall is an instrument believed to enhance accountability among elected representatives. It essentially allows the citizens to... View Article

Which of the following is not a single-use plan?

(a) Programme (b) Budget (c) Method (d) All of the above Answer (c) Method Explanation:A method characterises the manner or way where a... View Article

Which of the following is not a standing plan?

(a) Rule (b) Policy (c) Programme (d) Procedure Answer (c) Programme Explanation: A programme is a unique and transient key undertaking,... View Article

It is a plan which quantifies future facts and figures.

(a) Rule (b) Procedure (c) Programme (d) Budget Answer (d) Budget Explanation: A budget is an instrument that administrators use to plan and... View Article

It helps to save time, money, and effort and increases efficiency.

(a) Rule (b) Procedure (c) Programme (d) Method Answer (d) Method Explanation: A method characterises the manner or way where a specific... View Article

They detail the exact manner in which any work is to be performed.

(a) Programmes (b) Rules (c) Procedures (d) Methods Answer (c) Procedures Explanation: A procedure in management is a simulation-tested... View Article

They provide a basis for interpreting strategy, which is usually stated in general terms.

(a) Policies (b) Objectives (c) Programmes (d) Procedures Answer (a) Policies Explanation: Policies characterise the spheres or scope inside... View Article

A strategy is a comprehensive plan which will not include this dimension.

(a) Allocating resources necessary to achieve the objective. (b) Determining long term objectives. (c) The ends which the management seeks to... View Article

A strategy is derived from _______.

(a) Policies (b) Methods (c) Objectives (d) Rules Answer (b) Methods Explanation:A method characterises the manner or way in which a... View Article

They represent the endpoint of planning.

(a) Methods (b) Policies (c) Objectives (d) Rules Answer (c) Objectives Explanation: The main objectives of planning are to bring economy in... View Article

Identify the correct sequence of steps involved in the planning process.

(a) Evaluating alternative courses, Identifying alternative courses of action, Setting objectives, Developing premises (b) Setting objectives,... View Article

It is not always true that just because a plan has worked before, it will work again. Identify the related limitation of planning.

(a) Planning reduces creativity. (b) Planning leads to rigidity. (c) Planning may not work in a dynamic environment. (d) Planning does not... View Article

Planning cannot foresee everything, and thus, there may be obstacles to effective planning. Identify the related limitation of planning.

(a) Planning reduces creativity. (b) Planning may not work in a dynamic environment. (c) Planning does not guarantee success. (d) Planning... View Article