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Explanation

Sequence: 6, 7, 11, 20, ?

Step 1: Find differences

7 − 6 = 1

11 − 7 = 4

20 − 11 = 9

The differences are 1, 4, 9 — which are 1², 2², 3².

Step 2: Next difference = 4² = 16

Step 3: Add to last term

20 + 16 = 36

Explanation

A circle can have only two parallel tangents — one on each opposite side.

These tangents are equidistant from the center of the circle.

Explanation

Multiples of 4 from 12 to 248 form an arithmetic series with difference 4.

Total number of such multiples = 60.

Explanation

Common difference = 7, and using AP formula gives aₙ = a₁ + (n−1)d.

Substituting values gives 21st term = 137.

Explanation

A skein is a packaged form/quantity of yarn.

Similarly, a ream is a packaged quantity of paper — same part/whole (unit-to-item) relationship.

Explanation

The pattern is a constant addition: 31 → 31 + 59 = 90.

Apply same rule: 43 + 59 = 102.

Explanation

Slapstick is a genre that primarily provokes laughter through physical comedy.

Horror is a genre that primarily provokes fear, matching the same genre→emotion relationship.

Explanation

Pattern in JLNP → OLIF is shifts of +5, 0, −5, −10 applied to each letter.

Applying the same shifts to S U W Y gives X U R O.

Explanation

Febrile describes a symptom (fever) associated with illness — a part-to-whole/symptom-to-condition relationship.

Delusional is a symptom or state that relates to insanity, matching the same relationship.

Explanation

An aerie is the nest/home of an eagle.

Similarly, a lair is the den/home of a wolf — same place-to-animal relationship.