Stat test questions based on quantitative reasoning require a quick and analytical mind. They may require small calculations and the candidates are expected to be able to do manual calculations with speed. Too much lingering on the questions may cause them to run out of time and not complete stat test paper in the allotted time. A lot of practice will help them to gain proficiency in the in understanding the different types of data and manually calculating their relationships and effects.

The given question is based on a measurement chart which provides the length and breadth of various cylinders available in a company’s product range. The questions require the students to identify the various relationships in the given data and choose the correct answers for the given questions. Provided below is guidance on how to determine the answers to the given questions.

The first question is based on the ratio of the increment in the length of cylinder to its breadth. It can be observed that in the given series of cylinders, the length increases by a proportion of 0.25 cm. And by subtracting the breadth of the same cylinder, a difference of 0.5 cm can be identified. Projecting this information we can conclude that a 0.5 cm increase in length will give rise to an increase of 1 cm in the breadth of the cylinder.

Question no two provides several formulae to calculate the length or breadth of a cylinder when a measurement of either of the two is given. Students can work out the lengths or breadth of few cylinders using the provided formulae one by one. These calculations are not much complicated and can be done manually with ease. For instance using all the formulas of the length of 5 cm we get the resultant fro breadth to be 1.75 cm, 2 cm, 12 cm and 2 cm respectively. Now we have a tie between options B and D. working the two formulae for the next cylinder length gives the resultant breadth to be 2.5 cm and 2.25 cm respectively. Hence the correct formula for breadth is given by (length – 4) * 2.

Third question inquires about the effect on the difference between length and breadth of cylinder. For this we need to calculate the difference between length and breadth of subsequent cylinders, which is 3 cm, 2.75 cm, 2.5 cm and so on. We find a constant difference of 0.25 cm. It can be observed that each subsequent cylinder has an increased length of 0.25 cm. Hence, it can be concluded that an increase of 0.25 cm in length reduces the difference between the length and breadth of a cylinder by 0.25 cm.

The fourth question is based on the area of cylinder. The formula to calculate the area is length multiplied by breadth of the object. The area of the cylinders is thus calculated to be 10 cm, 13.125cm, 16.5 cm, 20.125 cm, 24 cm and so on. Now the difference in the areas of these cylinders can be calculated to be 3.125 cm, 3.375 cm, 3.625 cm, 3.875 cm and so on. We can see that the difference increases by 0.25 cm in every subsequent cylinder.

The last question requires the student to identify the relationship between the area of cylinder and the difference between its length and breadth. From above calculations we can conclude that with every increase in length of 0.25 cm the difference in the area of two cylinders increases by 0.25 cm and the difference between the length and breadth of a cylinder reduced by 0.25 cm. This shows a direct relationship between the two.

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