Select the set in which the numbers are related to each other in the same way as are the numbers of the given sets. (28, 224); (47, 376) (NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /deleting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)

Correct — A. Rule: the second number is the first one multiplied by 8.

28 × 8 = 224
47 × 8 = 376

Now multiply each option's first number by 8:
31 × 8 = 248, which is option (a).

Why the others are wrong

• (b)
  (22, 178) — 22 × 8 = 176, and the option offers 178 — two above what the rule gives.
• (c)
  (19, 212) — 19 × 8 = 152, nowhere near the 212 this option prints.
• (d)
  (24, 168) — 24 × 8 = 192. The option's 168 is 24 × 7, one multiple short.

When both given pairs share a clean multiplier, find it by dividing rather than by guessing: 224 ÷ 28 = 8 and 376 ÷ 47 = 8.

Confirming it on the second pair is the part people skip. A single pair fits several rules, and the second pair is what leaves one standing.

Then test the options by multiplying rather than dividing. One multiplication per option, compared against the printed second number, is exact and fast.

Key facts

• 224 ÷ 28 = 8 and 376 ÷ 47 = 8, so the relationship is multiplication by 8.
• 31 × 8 = 248, which is the value the option prints.
• The bracketed note forbids breaking a number into digits before operating on it.

Common traps

• Testing the rule on one pair and taking the first option that looks close.
• Multiplying by 7 instead of 8, which is exactly what option (d) offers.
• Reading 224 as its digits, which the bracketed note forbids.

No directly related past PYQ was found.