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p = prob(1st digit not 7)*prob(2nd digit not 7)*prob(3rd
digit not 7)
=(8/9)*(9/10)*(9/10)
=0.72
Sandhya had it right except that there are 900 numbers
between 100 and 999 inclusive (not 899).

4

C.1175

Option c

Effective management and supervision typically involve several key aspects:

Setting clear goals: As a manager or supervisor, it is important to establish clear goals and communicate them to your team members. This ensures everyone understands the expectations and can work towards a common objective.

Providing guidance and support: Managers should provide guidance and support to their team members by offering feedback, answering questions, and providing resources or training to help them succeed in their roles.

Delegating tasks: A good manager knows how to delegate tasks effectively. Delegation involves assigning appropriate tasks to team members based on their skills and strengths, and ensuring they have the necessary resources and support to complete the tasks successfully.

Effective communication: Communication is a crucial aspect of management and supervision. Managers should establish open lines of communication, actively listen to their team members, provide regular updates and feedback, and encourage open dialogue to foster a positive work environment.

Motivating and recognizing achievements: A skilled manager understands the importance of motivating their team members and recognizing their accomplishments. This can be done through positive reinforcement, offering incentives or rewards, and acknowledging individual and team achievements.

Problem-solving and conflict resolution: Managers often encounter challenges and conflicts within their teams. Effective managers possess strong problem-solving and conflict resolution skills to address issues in a fair and constructive manner, fostering collaboration and maintaining a harmonious work environment.

Total number of pairs is NC2^{N}C_2NC2​. Number of pairs standing next to each other = N. Therefore, number of pairs in question = NC2^{N}C_2NC2​ – N = 28/2 = 14. If N = 7,
7C2​ – 7 = 21 – 7 = 14….
N =7

A

36

Take 5 pills from jar 1, 4 pills from jar2,…. and 1 pill
from jar 5 and put altogether in the scale. the ideal
weight should be (1+2+3+4+5)x10= 150gms. for eg if the jar2
is contaminated then the weight will be 146 gms. so
depending on the amount of weight loss we can identify the
contaminated jar.

Total distance to cover = 132 +110 = 242m
Speed = 72kn/hr = 20m/s
time = 242/20 = 12.1 sec.

20

option 5

My standard for success is to build confidence, be able to earn money, and meet people.

A, b