JEE Main 2018MathematicsMatricesMediumMCQ

JEE Main 2018 — Matrices Question with Solution

JEE Main 2018 (16 Apr Online)

Question

Let A=100110111 and B=A20. Then the sum of the elements of the first column of B is

Choose an option

Show full solutionCorrect option: D
Correct answer
D231

Step-by-step explanation

Given, A=100110111

⇒A2=100210321; A3=100310631

A4=1004101041; ,…; A20=1002010210201 ∵a31=20th term in 1+3+6+10+....

Hence, sum of the elements of first column=231.

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About this question

This is a previous-year question from JEE Main 2018, covering the Matrices chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.