The lab has now decided to require six scans in the pass key sequence, where exactly one finger is scanned twice, and the other fingers are scanned exactly once, which can be done in any order. For example, a possible sequence is TIMTRL. Suppose the lab allows a variation of the original sequence (of six inputs) where at most two scans (out of six) are out of place, as long as the finger originally scanned twice is scanned twice and other fingers are scanned once. How many different sequences if scans are allowed for any given person’s original scan?

From the passage: Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh...

Who among the following did not pay any extra amount for his/her choice of seat?

From the passage: In an 8 × 8 chessboard a queen placed anywhere can attack another piec...

Suppose the queen is the only piece on the board and it is at position D5. In how many positions can another piece be placed on the board such that it is safe from attack from the queen?

From the passage: Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh...

How much extra did Gargi pay for her choice of seat?

From the passage: Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh...

How much extra did Jayanta pay for his choice of seat?

From the passage: Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh...

In which row was Manik sitting?

From the passage: In an 8 × 8 chessboard a queen placed anywhere can attack another piec...

If the other pieces are only at positions A1, A3, B4, D7, H7 and H8, then from how many positions the queen cannot attack any of the pieces?

From the passage: In an 8 × 8 chessboard a queen placed anywhere can attack another piec...

If the other pieces are only at positions A1, A3, B4, D7, H7 and H8, then which of the following positions of the queen results in the maximum number of pieces being under attack?

From the passage: In an 8 × 8 chessboard a queen placed anywhere can attack another piec...

If the queen is at C5, and the other pieces at positions C2, G1, G3, G5 and A3, how many are under attack by the queen? There are no other pieces on the board.