Home › Accenture Hiring › Quantitative Aptitude › Number System › What is the three-digit number which is 2 more t…
What is the three-digit number which is 2 more than a perfect square and 2 less than a perfect cube?
A123
B627
C402
D350
Answer & Solution
Correct answer: A. 123
1. Check 123: subtract 2 to get 121, and 121 = 11², a perfect square.
2. Add 2 to 123 to get 125, and 125 = 5³, a perfect cube.
3. Both conditions hold, so the number is 123.
_Source: RRB Group D (RRC) PYQ, held 27-10-2013, Q.33._
Related questions
Before applying any solving method, an equation must first be written in its:Which two methods of solving quadratic equations are worked through in the examples?Because 2401 is the square of 49, that equation has roots that are:A number of toys problem leads to 2x squared plus x minus 300 equals 0. Its discriminant iThe roots of a quadratic equation are the same as the zeroes of the corresponding:The values of x that satisfy a quadratic equation are called its:A method that rewrites the equation so one side becomes a perfect square is called:The roots of x squared plus 4x minus 5 equals 0 are: