Question
Seven people Ian, Jen, Kia, Lex, Mia, Nia and Oji, are
sitting in a straight row, facing the north. Only five people sit to the left of Mia. Jen sits third to the left of Oji. Oji is not an immediate neighbour of Mia. Kia sits to the immediate right of Nia. Ian sits fourth to the right of Jen. Who sits at the extreme right end of the row?Solution
Since only five people sit to the left of Mia, Mia must be sitting at the 2nd place from the right. Since Oji is not an immediate neighbor of Mia, Oji must not be sitting either at the extreme right end or at the 3rd place from the right. Since Ian sits fourth to Jen, two cases are possible as shown below. Jen sits third to the left of Oji. This statement is violated in case-2, so it is eliminated. Moving ahead with Case-1. Kia sits to the immediate right of Nia. Lex, the only person left will occupy the vacant position. Â
Final arrangement is shown below:
It is clear that, Lex sits at the extreme right end of the row. Hence, the correct answer is (A).
- Find the radius of the incircle of an equilateral triangle whose height is given to be 3√3 cm.
The corresponding medians of two similar triangles are 12 cm and 15 cm. If the area of the first triangle is 288 cm, then find the area of the second tr...
A triangle and a parallelogram have the same base 42 cm and the same area. If the height of the parallelogram is 14 cm, then find the length of the alti...
The corresponding medians of two similar triangles are 16 cm and 20 cm. If the area of the first triangle is 288 cm, then find the area of the second tr...
- Determine the perpendicular drawn from a vertex to the opposite side in an equilateral triangle with side length 8√3 cm.
- Determine the inradius of an equilateral triangle if its height is 6√3 cm.
Find the altitude of an equilateral triangle whose side is 8√3 cm.
In a triangle ABC, AD is the altitude from A to BC. If AD = 12 cm, AB = 13 cm, and AC = 14 cm, find the length of BC.
If two triangles EFG and UVW are congruent, then which of the following statement(s) is/are true?
I. EF = UV
II. ∠FEG = ∠UVW
- In triangle DEF, GH is drawn parallel to side EF. If DG = 9 cm, GE = 3 cm and DH = 6 cm, find DF.