Others Maths Puzzle

the leftmost digit of an integer of length 2000digits is 3.in this integer any two consecutive digits must be divisible by 17 or 23. the 2000 digit may be either a or b.what is the value of a+b?
4
5
3
7

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Niloy Sen
If f(x) = max (x^2 ā€“ 4, x, ā€“1), then what is the minimum value of f(x)?
Add to my
aā€“ 4
b 1
cā€“1
d0
An equilateral triangle BPC is drawn inside a square ABCD. What is the value of the angle APD in degrees?
A] 75
B] 90
C] 120
D] 135
E] 150