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Which of the following statements are true with regards to the selection of a sample size? (i) The sample size (n) may be a fixed percentage of lot size (N). (ii) The sample size (n) may be kept constant irrespective of lot size (N). (iii) Sample size (n) can be selected at the personal whim of the inspector.

Correct Answer: i, ii only
The selection of sizes of N and n can be done in two ways. I. The sample size (n) may be a fixed percentage of lot size (N). II. The sample number (n) may be kept constant irrespective of lot size (N).

If the first two statements are true, the third statement is :
I. The bookstore has a better selection of postcards than the newsstand does.
II. The selection of postcards at the drugstore is better than at the bookstore.
III. The drugstore has a better selection of postcards than the bookstore or the newsstand.

Statements followed by some conclusions are given below. Statements:
1. A bag has 2 white, 3 black, 4 red and 6 green balls.
2. 2 balls are selected at random from the bag. Conclusions:
1. The probability that a black ball is selected is 1/5.
2. The probability that a red ball is selected is 6/15. Find which of the conclusions logically follows from the given statements.

In the following passage, some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of thefour alternatives. _______________ the course of the development of different life-forms heredity—which, in plain English, is unconscious memory generated in the first life-form and ______________ through all the different species—is the sole factor in the ____________ of the parent properties; while adaptation to surrounding conditions and circumstances, natural selection in the struggle _____________ existence, and partner selection in the struggle of the males for ____________ are the principalfactors in the differentiation of species. natural selection in the struggle _____________ existence, and partner selection

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. All the schools in the area had to be kept closed for most part of the week.
II. Many parents have withdrawn their children from the local schools.

From an alloy, two specimens are machined and tested separately under tension and compression. The engineering stress-strain curves as well as the true stress-true strain curves for tension and compression are plotted in the same diagram. Identify the correct statements:
P. The engineering stress-strain curves in tension and compression are identical.
Q. The true stress-true strain curve in compression is lower than the true stresstrue strain curve in tension due to Bauschinger effect.
R. The true stress-true strain curve in tension is above the corresponding engineering stress-strain, curve.
S. The true stress-true strain curve in tension and compression are identical.

In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase. based on random choice or personal whim

Which of the following statements must be false? I. Debaters Y and C are never selected together. II. Debaters Z and B are never selected together . III. Debaters Z and D are never selected together .

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 government has recently fixed the fees for professional courses offered by the unaided institutions which are much lower than the fees charged last year.
II. The parents of the aspiring students launched a severe agitation last year protesting against the high fees charged by the unaided institutions.

In an army selection process, the ratio of selected to unselected candidates was 6:1. If 30 less had applied and 10 less selected, the ratio of selected to unselected would have been 7:1. How many candidates had applied for the process?

In an army selection process, the ratio of selected to unselected candidates was 9:2. If 80 less had applied and 20 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?