Test Index

JEE Advanced 2020 Full Test 5 Paper 2

Paragraph for Question Nos. 53 and 54

Let S={1,2,3,.....n} be a set and two numbers x and y are drawn with replacement from S. Let Pk be the probability that x2−y2 is divisible by k[x] denotes greatest integer less than or equal to x.

Question : 53

Total: 54

The value of P2 is equal to

‌
1
2
(‌
[
n
2
]
n
)2
1−2⋅‌
[
n
2
]
n
+2(‌
[
n
2
]
n
)2
1−‌
2−[
n
2
]
n
−2(‌
[
n
2
]
n
)2

Validate

Go to Question:

Prev Question

Next Question