Elitmus
Exam
Numerical Ability
Quadratic Equations
X=W^2+1 such that 121
Read Solution (Total 3)
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- X=W^2+1 such that 121 < X < 1331 (11^3=1331).what cannot be the remainder when X is divided by 11 provided X is not a prime number
Option 2/4/6/8
- 10 years agoHelpfull: Yes(4) No(0)
- X=W^2+1 & 11^2 < x < 11^3
its easy to check from options
if w=12, x=145, x/11 => rem=2
if w=13, x=170, x/11 => rem=4
if w=14, x=197(prime)
if w=15, x=226, x/11 => rem=6
thus we see x/11 gives remainder 2,4,6
ans: 8 can't be remainder - 7 years agoHelpfull: Yes(2) No(0)
- Let w=12 soo, X=12^2+1=144+1=145
145/11=2 remainder - 10 years agoHelpfull: Yes(1) No(1)
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