NIMCET 2024
In which year was Arjun born? Arjun at present is 25 years younger than his mother. Arjun's brother, who was born in 1964, is 35 years younger than his mother.
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Answer: Option D — 1954
Detailed Solution
The brother, born in 1964, is 35 years younger than the mother, so the mother was born in .
Arjun is 25 years younger than the mother, so he was born in .
✓ Check
Arjun (1954) is 10 years older than his brother (1964), which matches the gap .⚠ Common trap
(A) 1974 is the source key; it comes from adding 35 to 1964 (a mother 'born' in 1999, after her own son).Quick tip
Mother = 1964 - 35 = 1929; Arjun = 1929 + 25 = 1954
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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.