Tag: communication

The pattern of differences is: 11-5=6, 21-11=10, 35-21=14, 53-35=18. These differences increase by 4 each time (6, 10, 14, 18). The next difference should be 18+4=22. Therefore, 53+22=75. This is a second-level arithmetic sequence where the increments themselves form an arithmetic progression.

The pattern alternates between + and , with the group lengths increasing by 1 each time: +++ (3), *** (4), +++ (3), **** (4), +++++ (5), ****** (6). The next group after **** should be 7 + symbols, but the position shown with ? ? follows a + group. Since we alternate symbols and the sequence continues, ? ? represents the next two symbols after the established +++++ pattern.

With only 2 colors (red and white), drawing 3 socks guarantees at least 2 of the same color by the pigeonhole principle. This is a classic application of the principle that with n items and k categories, selecting n-1+1 items ensures at least one category has 2 items. The number of pairs doesn't matter - only the count of distinct colors.

The differences between consecutive terms are: -0.25, 1, -4, 16, -64, 256. Each difference is multiplied by -4 to get the next difference (-0.25 × -4 = 1, 1 × -4 = -4, etc.). The next difference is 256 × -4 = -1024, so the next term is 205 + (-1024) = -819.

Dishevelled means untidy, messy, or in disordered appearance - typically used for hair or clothing. Option A matches this meaning perfectly.

Baffling means difficult to understand or confusing. 'Puzzling' is the closest synonym among the options - something that puzzles or confuses you.

A lenient parent is one who is not strict - they are permissive and indulgent. Option B correctly captures this meaning.

Repulsive means causing strong disgust or aversion. 'Disgusting' is the closest synonym - something that repels or disgusts you.

Audacious means showing a willingness to take bold or risky risks. 'Bold' is the correct synonym - fearless and daring.