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Consider the following statements: 1. The delay time is the time required to reach 50% of the final value in the first time. 2. The rise time is the time required for the response to rise from 10% to 90% of its final value for underdamped systems. 3. The rise time is the time required for the response to rise from 0 to 100% for the underdamped systems. Which of these statements are correct?

Correct Answer: 1 and 3 only
The delay time is the time required to reach 50% of the final value in the first time.The rise time is the time required for the response to rise from 0 to 100% for the underdamped systems.

A man starts from point 'O', travels 20 km towards east to reach point 'A', turns right and travels 10 km to reach point 'B', turns right and travels 9 km to reach point 'C', turns right and travels 5 km to reach point 'D', turns left and travels 12 km to reach point 'E' and then turns right and travels 6 km to reach point 'F'. What is the shortest distance between point 'E' and point 'C'?

The propositions are
1. Delay and dispatch of FIR (First Information Report) is not the circumstance which can throw out prosecution case in its entirety.
2. Delay and despatch of FIR (First Information Report) is a circumstance which can throw out the prosecution case in its entirety.
3. The extraordinary delay in sending the FIR (First Information Report) is a circumstance which provides a legitimate basis for suspecting that the FIR (First Information Report) was recorded much later than the stated date and hour, affording sufficient time to the prosecution to introduce improvement,
Which of the following is correct in respect of the aforesaid preposition?

The propositions are:
1. Delay in despatch of the First information Report (FIR) is not a circumstance which can throw out the prosecution case in its entirety.
2. Delay in despatch of the First information Report (FIR) is a circumstance which can throw out the prosecution case in its entirety.
3. The extra-ordinary delay in sending the First information Report (FIR) is a circumstance which provides a legitimate basis for suspecting that the First information Report (FIR) was recorded much later than the stated date and hour, affording sufficient time to the prosecution to introduce improvements.
Which of the following is correct in respect of the aforesaid proposition

Direction : Two statements I and II are given. These statement may be either independent causes or may be effects of independent causes or a common cause. One of these statements may be the effect of the other statements. Read both the statements and decide which of the following answer choice correctly depicts the relationship between these two statements. Mark answer :

I. The performance of Indian sports persons in the recently held Olympics could not reach the level of expectation the country had on them.
II. The performance of Indian sports person in the last Asian games was far better than any previous games.

Direction : Two statements I and II are given. These statement may be either independent causes or may be effects of independent causes or a common cause. One of these statements may be the effect of the other statements. Read both the statements and decide which of the following answer choice correctly depicts the relationship between these two statements. Mark answer :

I.The performance of most of the students in final exam of class X in the schools run by the Government was excellent.
II. Many teachers of the Government schools left the school and joined private schools.

Which of the following equation is/are not correct? Consider MWT – Mean Waiting time; ADT – Administrative delay time; LDT – Logistic delay time; MDT – Mean down time; MTTR – Mean time to repair; MTTF – Mean time to failure.

A cam should be designed only using uniform rise and fall within the second half of cam profile, the first half is dwell period, without any dwell period in between the rise and fall periods and rise and fall periods should be same. The maximum rise in follower is 45 mm. How much the follower will rise when the follower is 120 degrees from its initial position of a cam?

A cam should be designed only using uniform rise and fall within the second half of cam profile, the first half is dwell period, without any dwell period in between the rise and fall periods and rise and fall periods should be same. The maximum rise in follower is 55 mm. How much the follower will rise when the follower is 240 degrees from its initial position of a cam?

A cam should be designed only using uniform rise and fall within first half of cam profile, the remaining is dwell period, and without any dwell period in between the rise-fall periods and rise and fall periods should be same. The maximum rise in follower is 35 mm. How much the follower will rise when the follower is 240 degrees from its initial position of a cam?

The simplified value of $$\frac{{\left( {1 + \frac{1}{{1 + \frac{1}{{100}}}}} \right)\left( {1 + \frac{1}{{1 + \frac{1}{{100}}}}} \right) - \left( {1 - \frac{1}{{1 + \frac{1}{{100}}}}} \right)\left( {1 - \frac{1}{{1 + \frac{1}{{100}}}}} \right)}}{{\left( {1 + \frac{1}{{1 + \frac{1}{{100}}}}} \right) + \left( {1 - \frac{1}{{1 + \frac{1}{{100}}}}} \right)}} = ?$$