Base Systems: Faulty Micromanometer
XAT 2011 · Quantitative Ability & Data Interpretation · Hard · Number Systems
The micromanometer in a certain factory can measure the pressure inside the gas chamber from 1 unit to 999999 units. Lately this instrument has not been working properly. The problem with the instrument is that it always skips the digit 5 and moves directly from 4 to 6. What is the actual pressure inside the gas chamber if the micromanometer displays 003016?
- A.
2201
- B.
2202
- C.
2600
- D.
2960
- E.
None of the above options
A
Explanation
This is equivalent to base-9 representation where digits are 0,1,2,3,4,6,7,8,9 (mapping 6->5, 7->6, 8->7, 9->8). Display '3016': Digit 3 maps to 3, 0 to 0, 1 to 1, 6 maps to 5. In base 9: .
Related Number Systems questions
- #1389Multiples of 125 by 10 or 15XATQADIMCQEasy
- #1393Prime numbers list sum ratio integerXATQADIMCQMedium
- #1396Integer solutions to x + y^2 + z^3 = 50XATQADIMCQMedium
- #1453Necessary and Sufficient Condition for Integer ValueXATQADIMCQHard
- #1461Co-prime Number Selection in RangeXATQADIMCQMedium
- #1555Six-Digit Number Lock RiddleXATQADIMCQMedium
- #1980Number Base Systems EquationXATQADIMCQHard
- #2058Potter's Two Sons Pots and ChipsXATQADIMCQHard
Practise this under exam conditions
Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.
Solve in the workspace