Govt. Exams
Entrance Exams
Letters that remain unchanged in vertical mirror reflection are: A, H, I, M, O, T, U, V, W, X, Y. In 'COMPETITIVE', only T, I, T, I appear = 4 letters remain visually same.
Water image about x-axis changes (x,y) to (x,-y). Therefore C(4,4) becomes (4,-4).
When reflected vertically, 6 becomes 9 and 9 becomes 6. The order also reverses in water image, so '69' in mirror comes from '96' originally.
Mirror reflection preserves angles. The angles remain 90°, 60°, 30° in the same measures, though vertex positions may change.
Water image (horizontal reflection) reverses the sequence. 'INDIA' becomes 'AIDNI' with letters in reverse order.
Mirror reflection preserves dimensions. The sides remain 6cm and 8cm, only the orientation may change.
Reflection across the y-axis changes (x,y) to (-x,y). Therefore, (5,3) becomes (-5,3).
In a vertical mirror reflection of a clock, the time transforms as: 12 - (actual time) or using the clock position, 3:15 reflects to 8:45.
Only the letter 'O' has vertical symmetry and appears the same in mirror reflection. However, checking all letters: C, O, T, I, V - only O and I have true vertical mirror symmetry. I appears same in mirror, so answer is I.
All three numbers (121, 101, 111) have digits that are vertically symmetric (1 and 2 are symmetric), and when reflected, they read the same numerically.
