Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
The value of 11 3 - 8 3 is:
866
759
819
806
819
Use the unit digit check: 13=1 and 83=512 (ends in 2). Subtracting ...2 from ...1 results in a number ending in 9. Option C is the only one ending in 9.
Two numbers are given as 11 and 8, where we need to find the difference between their cubes: 11┬│ - 8┬│.
a3тИТb3=(aтИТb)(a2+ab+b2)
Use the unit digit check: 13=1 and 83=512 (ends in 2). Subtracting ...2 from ...1 results in a number ending in 9. Option C is the only one ending in 9.
Students often miscalculate 113 as 11├Ч3=33 or 83 as 8├Ч3=24, failing to perform the actual cubic multiplication.
Identify variables
Set a=11 and b=8.
a=11,b=8
Apply algebraic identity
Expand the expression using the difference of cubes formula a3тИТb3=(aтИТb)(a2+ab+b2).
113тИТ83=(11тИТ8)(112+11├Ч8+82)
Calculate terms
Simplify the terms inside the parentheses: (11тИТ8)=3 and (121+88+64)=273.
3├Ч(121+88+64)=3├Ч273
Final product
Multiply the results to find the final value.
3├Ч273=819
C is correct because the expansion of 113тИТ83 yields 1331тИТ512=819.
Memorizing cubes up to 153 and squares up to 302 significantly speeds up calculations in quantitative aptitude exams.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants