Manu bought 15 chocolates of three different companies — 5 Dairy Milk, 5…
2025
Manu bought 15 chocolates of three different companies — 5 Dairy Milk, 5 Nestlé, and 5 Hershey's — for his four friends: Montu, Guddi, China, and Palak. He distributed all 15 chocolates among them under the following conditions:
Montu, Guddi, and China will each receive two different types of chocolates.
Palak will receive only Dairy Milk chocolates.
Guddi will receive 3 more chocolates than Montu.
Each of the four friends will receive at least three chocolates.
Which of the following statements is true?
- A.
Montu will get 3 chocolates less than Guddi
- B.
Guddi will get 3 chocolates
- C.
Palak will receive 5 chocolates
- D.
None of the above
Show answer & explanation
Correct answer: A
Concept: when a fixed total quantity must be split among several people, each subject to a minimum floor, and two of them are also linked by a fixed additive gap, the sum of the floor values plus that gap can already equal the whole quantity. When it does, every person's share is forced to a single value — there is no room left for any share to be higher.
Quick check: the stem's own condition — "Guddi will get 3 more chocolates than Montu" — already restates as "Montu will get 3 chocolates less than Guddi", so the keyed statement follows immediately from the wording alone; the fuller derivation below additionally pins down every friend's exact share, which is what is needed to rule out the other statements.
Let Montu's share be M and Guddi's share be M + 3 (Guddi gets 3 more chocolates than Montu), and let China's and Palak's shares be C and P.
All four shares must add up to 15: M + (M + 3) + C + P = 15, while every one of M, C, and P must be at least 3.
Plugging in the minimum values M = 3, C = 3, P = 3 already gives 3 + 6 + 3 + 3 = 15 — the full batch of chocolates is exhausted at the floor values themselves.
Since the total cannot exceed 15, none of the four shares can be pushed any higher — so M = 3, Guddi's share = 6, C = 3, and P = 3 is the only distribution that satisfies every condition.
Cross-check: 3 + 6 + 3 + 3 = 15 chocolates in total, every friend has at least three, and Guddi's six is exactly three more than Montu's three. The split is also feasible brand-wise: Palak's three chocolates are all Dairy Milk; Montu takes 2 Dairy Milk + 1 Nestlé; Guddi takes 3 Nestlé + 3 Hershey's; and China takes 1 Nestlé + 2 Hershey's — each of Montu, Guddi, and China draws from exactly two brands, and the brand totals add up to exactly 5 Dairy Milk (2+3), 5 Nestlé (1+3+1), and 5 Hershey's (3+2) as given. So the one statement that must be true is that Montu receives exactly three chocolates fewer than Guddi.