turkey-yks 2013 Q16

turkey-yks · Other · ygs Not Maths

Let $d$ be the greatest common divisor of positive integers $a$ and $b$. I. The number $d ^ { 2 }$ divides the number $a ^ { 2 }$. II. The number $d ^ { 2 }$ divides the number $a ^ { 2 } + b$. III. The number $\mathrm { d } ^ { 2 }$ divides the number $\mathrm { a } ^ { 2 } + \mathrm { b } ^ { 2 }$. Which of the following statements are always true?
A) Only I
B) Only II
C) I and III
D) II and III
E) I, II and III

Let $d$ be the greatest common divisor of positive integers $a$ and $b$.\\
I. The number $d ^ { 2 }$ divides the number $a ^ { 2 }$.\\
II. The number $d ^ { 2 }$ divides the number $a ^ { 2 } + b$.\\
III. The number $\mathrm { d } ^ { 2 }$ divides the number $\mathrm { a } ^ { 2 } + \mathrm { b } ^ { 2 }$.\\
Which of the following statements are always true?\\
A) Only I\\
B) Only II\\
C) I and III\\
D) II and III\\
E) I, II and III

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20 Q21 Q22 Q23 Q24 Q25 Q26 Q27 Q28 Q29 Q30 Q31 Q32 Q33 Q34 Q35 Q36 Q37 Q38 Q39 Q40