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Directions for questions 1 to 4: A builder decided to make some flats in different streets (s1, s2, s3), each street will contain three houses. The possible colors for the houses are Magenta, Maize , Silver , Pink, Red. Each house will be of one color. There will be some conditions for the houses:
1. Each street will contain houses of at least two different colors.
2. The street containing any Maize house will also contain at least one Magenta house, and vice-versa.
3. Pink and Red houses cannot be in same street
4. The street containing any Silver house will also contain at least one Red house, but the street containing Red house need not contain a Silver House.

Question 1: Which of the following combination is possible for a street?
(a) Pink house, Silver house, and Maize house
(b) Maize house, Silver house, Magenta house
(c) Two Silver houses, and one Red house
(d) Three Pink houses

Question 2: Which of the following combination is not possible for a street?
(a) Pink house and Magenta house
(b) Magenta and Silver house
(c) Maize and Pink house
(d) Maize and Magenta house

Question 3: Which of the following houses could be made with a Silver house to make a combination acceptable for a street?
(a) One Pink house and one Maize house
(b) One Maize house and One Magenta house
(c) Two red houses
(d) Two Magenta houses

Question 4: Which of the following houses must be constructed with a Magenta house and a Pink house to make a combination acceptable for a street??
(a) Magenta house
(b) Maize House
(c) Silver House
(d) Pink House

### Answers and Explanations: Click the down arrow to expand

Options (a) and (b) are out as because there must be one Red House with Silver House. Option (d) is out because three pink houses cannot be constructed in a street. So, the right option for the question is option c.

Option (b) is the answer because there must have one Red House with Silver House and there must be one Maize house with Magenta house but four houses cannot be constructed in a street. So, the right option for the question is option b.