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JEE Advanced Model Paper 20 with solutions for online practice

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Question : 21 of 57
 
Marks: +1, -0
Given S = [
1
3
] + [
1
3
+
1
100
] + [
1
3
+
2
100
] + [
1
3
+
3
100
] + ..... + [
1
3
+
99
100
] ; where [x] denotes greatestinteger less than or equal to x. Then
St-1: The value of S is 33.
St-2: If k is an integer [
1
3
+
k
100
] takes only two possible values for 0 ≤ k ≤ 99.
Validate
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