UPSC CDS 2 2022 Math Paper

Statement 1:
x8y9<0
As x8 will be always positive
⇒y9<0‌‌‌ (product of +ve and -ve is negative) ‌
⇒y<0
Statement: 2
x9y10<0
As y10 will be always positive
⇒x9<0‌‌ (product of +ve and -ve is negative)
⇒x<0
From 1&2, we can say x<0&y<0
Since, product of -ve and -ve is positive
⇒xy>0
∴ Both Statement-1 and Statement-2 are sufficient to answer the question