20140 marks20 questions
2 of its 20 questions are here. The rest have a figure or are still being checked, so for now they're only in the official PDF.
Sit this paper against the clock, marked by its official answers, or get a new paper like it. Sign in first; practising is part of Pro.
Source: JEE (Advanced) 2014, Paper 2, Maths, published by JEE (Advanced). The official PDF
Six cards and six envelopes are numbered 1, 2, 3, 4, 5, 6 and cards are to be placed in envelopes so that each envelope contains exactly one card and no card is placed in the envelope bearing the same number and moreover the card numbered 1 is always placed in envelope numbered 2. Then the number of ways it can be done is
Three boys and two girls stand in a queue. The probability, that the number of boys ahead of every girl is at least one more than the number of girls ahead of her, is