IIT-JEE Exam

A pack contains n cards numbered from 1 to n. Two consecutive numbered cards are removed from the pack and the sum of the numbers on the remaining cards is 1224. If the smaller of the numbers on the removed cards is k, then k  20 equal to,
option
a) 5
b) 4
c) 3
d) 2

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IIT-JEE Other Question

A rectangular sheet of fixed perimeter with sides having their lengths in the ratio 8 : 15 is converted into an open rectangular box by folding after removing squares of equal area from all four corners. If the total area of removed squares is 100, the resulting box has maximum volume. Then the lengths of the sides of the rectangular sheet are
option
a) 24
b) 32
c) 45
d) 60
An equation of a plane parallel to the plane x - 2y + 2z - 5 = 0 and at a unit distance from the origin is