Quantrex AcademyPYQs with solutions · JEE · NEET · NDA

Home · JEE Main & Advanced · IOQM · Binary Numbers

Binary Numbers — JEE Main & Advanced IOQM PYQs

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

8 questionsIOQMSolutions on every page

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 th

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 the equ

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 16856 oc

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 th

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 the equ

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 16856 oc

Olympiad workbook Solution View →

Practice all Binary Numbers questions in the app →