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Nirav's house is 40 m south of Akash's house. Daksh's house is to the east of Akash's house in a straight line at a distance of X m. Prakash's house if to the west of Akash's house in a straight line at a distance of Y m. If the shortest distance between Prakash's house and Nirav's house is 50 m and the shortest distance between Daksh's house and Nirav's house is also 50 m, then what is the distance between Prakash's house and Daksh's house? 
In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if theyseem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statements:
(I) Demand of wooden furniture has gone down in an aggregate scenario.
(II) Wooden furniture has been replaced by fiber or plastic made furniture. Conclusion:
(I) Wooden furniture needs more maintenance and it is difficult to handle.
(II) Plastic furniture is termite free and can be easily handled.
Which of the following statement(s) given below is / are TRUE? A: Sum of exterior angle of triangle is less than the sum of exterior angle of a quadrilateral. B: Sum of interior angles of a polygon is (n - 1) × 90° (‘n’ is number of sides.) C: Interior angle of regular polygon is 72°, then measure of its corresponding exterior angle is 108°. 
In a gated community, all the houses are facing East. The houses are numbered 1, 2, 3, 4, 5, 6, 7 and not arranged in the same serial fashion. a) House 3 is just to the right of house 4. b) House 2 is on one of the extreme ends and house 5 is its neighbor. c) House 7 is in between house 5 and 6. d) House 4 is third from the south end. Which house is located to the extreme end other than house 2 in the gated community?
In a gated community, all the houses are facing East. The houses are numbered 1, 2, 3, 4, 5, 6, 7 and not arranged in the same serial fashion. a) House 3 is just to the right of house 4. b) House 2 is on one of the extreme ends and house 5 is its neighbor. c) House 7 is in between house 5 and 6. d) House 4 is third from the south end. Which house is located to the right of house 5?
Directions : In each of the following questions a statement is given, followed by three conclusions. Give answer :

Statement : 'The simplest and the most cost-effective way to upgrade your home. Exchange your old furniture and get 25% to 33% off on the new furniture.' - An advertisement of a furniture company.

Assumptions :
I. Nowadays, there is no demand for furniture products unless some attractive scheme is offered.
II. Some customers always desire to have best quality and do not bother either for cost or for convenience.
III. Some customers want to keep their home up-to-date with reasonable cost and with less hassles.
Consider the following statements: (1) If n ≥ 3 and m ≥ 3 are distinct positive integers, then the sum of exterior angles of a regular polygon of m sides is different from the sum of exterior angles of regular polygon of n sides (2) Let m, n be integers such that m > n ≥ 3. Then the sum of the interior angles of regular polygon of sides is greater than the sum of interior angles of a regular polygon of n sides, and their sum is (m + n)π/2 Which of the above statements is/are correct?
A rectangular garden is surrounded by a path of uniform width of 2 m. What is the breadth of the rectangular garden? I. If the length of the garden is reduced by 2 m, it will become a square garden. II. If the length of the garden is reduced by 2 m, the area of the path will become 1/4 times of its original area. (External boundary of the path remains constant.)
Garden lanterns, garden pagoda, garden bridges, tea garden and flat garden are the unique feature of
One differentiates between interior and exterior fireproofing. Exterior products are typically less substantial, with lower densities and lower cost. Interior products have to withstand more extreme fire and other environmental conditions.