Explanation:

In a vertical mirror, the clock’s mirror time and real time add up to 12:00. Hence, Real time = 11:60 − (mirror time). Given mirror time = 3:15, so real time = 11:60 − 3:15 = 8:45.

Verification: 8:45 + 3:15 = 12:00, confirming the mirror of 8:45 is 3:15. Therefore, the real time is 08:45:00.

Explanation:

• “My father’s wife” = my mother.
• “The daughter of my father’s wife” = my sister.
• “Two brothers of the daughter” = the sister’s two brothers = Deepak himself and his brother.
• “The younger of the two brothers” = the younger between Deepak and his brother, i.e., Deepak’s younger brother.
Hence, the boy playing football is Deepak’s brother.

Explanation:

The pattern alternates between dividing by 2 and multiplying by 3: 48→24 (÷2), 24→72 (×3), 72→36 (÷2), 36→108 (×3).

Therefore, the next term is 108÷2 = 54. (Equivalently, two interleaved subsequences each multiply by 1.5.)

Explanation:

Minute hand speed = 6°/min, hour hand speed = 0.5°/min, so relative speed = 5.5°/min. At t minutes past h o’clock, the angle between the hands is |6t − (30h + 0.5t)| = |5.5t − 30h|. For a right angle, set |5.5t − 30h| = 90, giving t = (30h ± 90)/5.5 within [0,60).
– Between 4–5, 5–6, 6–7, 7–8: both solutions lie in the hour → 2 each.
– Between 8–9: t = 27.27 min and t = 60 min (i.e., 9:00). Count 9:00 once.
– Between 9–10: only t = 32.73 min lies in the hour (the other is >60).
Total unique occurrences from 4 p.m. to 10 p.m.: 2 + 2 + 2 + 2 + 2 (including 9:00 once) + 1 = 11.
Equivalently, in 12 hours the hands are at right angles 22 times; over 6 hours it’s 11 (and 4:00 and 10:00 are not right angles).

Explanation:

Effective presentations start by building rapport, lowering audience anxiety, and capturing attention. An ice-breaker—such as a brief anecdote, light humor, a simple poll, or a quick relatable question—warms up the room and creates connection.

In contrast: (1) a non-sequitur is illogical and distracts, (3) a complex question can overwhelm or alienate the audience before context is set, and (4) a repetitive phrase risks monotony and disengagement. Therefore, the best opening is an ice-breaker.

Explanation:

Given: A > B and A is not taller than C ⇒ B < A ≤ C. Also, D > C and D is not taller than E ⇒ C < D ≤ E.

Combining: B < A ≤ C < D ≤ E. In an increasing-order arrangement (shortest to tallest), the first position is the shortest, i.e., B.

Explanation:

Identify a common property in the set: each number is congruent to 3 modulo 9 (sum of digits ≡ 3 mod 9), i.e., divisible by 3 but not by 9.
Check the set:
– 363: 3+6+3=12 → divisible by 3, not by 9 (12 ≡ 3 mod 9)
– 489: 4+8+9=21 → divisible by 3, not by 9 (21 ≡ 3 mod 9)
– 579: 5+7+9=21 → divisible by 3, not by 9 (21 ≡ 3 mod 9)
Check options:
– 281: 2+8+1=11 → not divisible by 3
– 562: 5+6+2=13 → not divisible by 3
– 382: 3+8+2=13 → not divisible by 3
– 471: 4+7+1=12 → divisible by 3, not by 9 (12 ≡ 3 mod 9)
Therefore, 471 is like the given number set.

Explanation:

Given: 3rd is Sunday. Therefore 1st is Friday. The first Wednesday is on the 6th (Fri 1st → Wed 6th). Wednesdays then occur on 6, 13, 20, 27. The fourth Wednesday is the 27th.

Three days after the 27th is the 30th. Hence, the required date is 30.

Explanation:

Interpersonal interaction skills are behavioral abilities that help people communicate and work effectively with others. They include traits like empathy (understanding others’ feelings), courtesy (politeness and respect), and a positive mindset that fosters constructive dialogue and cooperation. Administrative power, however, is not a skill; it is positional authority derived from one’s role in an organization. It may influence interactions, but it is not an interpersonal skill in itself.

Therefore, Administrative power is the option that is NOT a skill of interpersonal interaction.

Explanation:

The commonly cited “seven secrets” of attractive body language focus on the main nonverbal channels that directly shape perceptions and rapport: Face (facial expressions), Gestures, Head movement (nods, tilts), Eye contact, Posture, Territory/proxemics (use of space), and Mirroring (subtle matching).

Elimination logic:
– Cultural (3) is a contextual factor influencing interpretation, not a body-language tactic.
– Comfortable (5) is an internal state, not a distinct body-language component.
– Reflection (7) is essentially the same concept as Mirroring (10); including both would be redundant. The standard term used is Mirroring.

Checking options:
– Option 1 and 2 include Cultural and Comfortable, which are not part of the seven secrets; Option 1 also omits Territory, and both omit Mirroring.
– Option 3 includes both Reflection and Mirroring (duplication) and omits Gestures.
– Option 4 contains the coherent set: 1 (Face), 2 (Gestures), 4 (Head movement), 6 (Eye contact), 8 (Posture), 9 (Territory), 10 (Mirroring).