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JEE Binary Numbers PYQs with Solutions

8 previous year questions from Binary Numbers (JEE Main & Advanced IOQM) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

8 questionsIOQMAnswers + solutions

About Binary Numbers PYQs

Binary Numbers has 8 previous year questions in the Quantrex Academy JEE Main & Advanced IOQM bank. The 8 questions in this list come from Olympiad workbook (8). Each question opens on its own page with the options, the correct answer and the worked solution where available.

Binary Numbers questions with solutions

In base -2 notation, digits are 0 and 1 only and the places go up in powers of -2 . For example, 11011 stands for (-2)^4+(-2)^3+(-2)^1+(-2)^0 and equals number 7 in base 10 . If

Olympiad workbook Solution View → 2

The equation 166 × 56=8590 is valid in some base b ≥ 10 (that is 1,6,5,8,9,0 are digits in base b in the above equation). Find the sum of all possible values of b ≥ 10 satisfying

Olympiad workbook Solution View → 3

Consider the sequence 1,7,8,49,50,56,57,343, … which consists of sums of distinct powers of 7 , that is, 7^0, 7^1, 7^0+7^1, 7^2, … , in increasing order. At what position will

Olympiad workbook Solution View → 4

A number N in base 10 , is 503 in base b and 305 in base b+2 . What is the product of the digits of N ?

Olympiad workbook Solution View → 5

A number N in base 10 , is 503 in base b and 305 in base b+2 . What is the product of the digits of N ?

Olympiad workbook Solution View → 6

In base -2 notation, digits are 0 and 1 only and the places go up in powers of -2 . For example, 11011 stands for (-2)^4+(-2)^3+(-2)^1+(-2)^0 and equals number 7 in base 10 . If

Olympiad workbook Solution View → 7

The equation 166 × 56=8590 is valid in some base b ≥ 10 (that is 1,6,5,8,9,0 are digits in base b in the above equation). Find the sum of all possible values of b ≥ 10 satisfying

Olympiad workbook Solution View → 8

Consider the sequence 1,7,8,49,50,56,57,343, … which consists of sums of distinct powers of 7 , that is, 7^0, 7^1, 7^0+7^1, 7^2, … , in increasing order. At what position will

Olympiad workbook Solution View →

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Related JEE IOQM chapters

Permutation and Combination (112)Basics of Mathematics (88)Properties of Triangles (64)Sequences and Series (38)Quadratic Equation (38)Circle (30)Straight Lines (24)Functions (20)Vector Algebra (6)Binomial Theorem (6)

Binary Numbers in other exams

NDA Binary Numbers (31)