/

Learn

Saturday, 31 October

/

JEE Main 2017 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 2 April 2017 (offline), Maths Q62

Question 62 of 90 in this shift, Maths question 2 of 30.

If, for a positive integer n, the quadratic equation,

x(x+1)+(x+1)(x+2)+\ldots+(x+\overline{n-1})(x+n)=10n

has two consecutive integral solutions, then n is equal to :

(1)9
(2)10
(3)11Official answer
(4)12

Official answer

Option 3

CBSE answer key (25/04/2017, used for result).

Chapter: Complex Numbers and Quadratic Equations
Topic: Quadratic Roots
Idea tested: Integer Roots Condition

Same idea in other shifts

Asked 2× in all

30 Jan 2024, Shift 1 · Q22Let $\alpha,\beta\in N$ be roots of the equation $x^2-70x+\lambda=0$ , where $\frac{\lambda}{2},\frac{\lambda}{3}\notin N$ . If $\lambda$ …MediumNumerical value

Question text from the official JEE Main paper published by NTA (CBSE ran the 2017 exam); answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.