NIMCET 2019
A dealer sells half of the eggs that he has and another half an egg to Anurag. Then he sells half of the balance eggs and another half an egg to Deepak. Then he sells half of the balance eggs and another half an egg to Sivani. In the end he is left with just 7 eggs and he claims that he never broke an egg. How many eggs did he start with?
Answer (Detailed Solution Below)View answer ▾Hide ▴
Answer: Option B — 63
Detailed Solution
Each sale leaves eggs, so working backwards, before a sale he had .
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✓ Check
, , , and every sale ( ) is a whole number of eggs.⚠ Common trap
(A) 65 would mean selling 33 eggs first, leaving 32, and then eggs to Deepak, which breaks an egg.Quick tip
Work backwards: three times from 7
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Linear Equations — Preparation
This question tests your understanding of Linear Equations, a key topic in the Quantitative Aptitude section. The detailed solution above uses a step-by-step approach to show the reasoning, and where available, a shortcut that helps you solve similar questions in under 90 seconds during the actual exam.
A linear equation is an equation in which each variable appears only to the first power, such as 3x + 2y = 12. This topic covers solving equations in one variable, solving pairs of equations in two variables by substitution or elimination, conditions for unique, infinite or no solutions, and turning word problems into equations. Typical word problems involve ages, numbers and their digits, ticket and fruit prices, and fractions. The most important skill is translating the sentence correctly into an equation. In multiple-choice questions, substituting the answer options back into the equations is often faster than solving from scratch. Practise the linear equation questions below. Each solution shows how to form the equation from the question and solve it step by step.