An envelope has space for at most 3 stamps. I | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) An envelope can hold at most $3$ stamps. We have three stamps of value $1$ and three stamps of value $a$.Possible values formed by $n$ stamps $(n

Vedclass · Accepted Answer

$7$

Vedclass · Answer

(A) An envelope can hold at most $3$ stamps. We have three stamps of value $1$ and three stamps of value $a$.Possible values formed by $n$ stamps $(n \le 3)$ are:$1$ stamp: $1, a$$2$ stamps: $1+1=2, 1+a, a+a=2a$$3$ stamps: $1+1+1=3, 1+1+a=a+2, 1+a+a=2a+1, a+a+a=3a$If $a=2$,the possible values are: $1, 2, 3, 4, 5, 6$.The smallest positive integer that cannot be formed is $7$.If $a > 2$,say $a=3$,the values are: $1, 3, 2, 4, 6, 3, 5, 7, 9$. The smallest missing value is $4$.Since the question implies a unique answer independent of $a$ for a specific condition,and $a=2$ is the smallest integer $a > 1$,the least positive integer that cannot be formed is $7$.

An envelope has space for at most $3$ stamps. If you are given three stamps of denomination $1$ and three stamps of denomination $a$ (where $a > 1$),what is the least positive integer for which there is no possible stamp value?

Similar Questions

Team $A$ consists of $7$ boys and $n$ girls and Team $B$ has $4$ boys and $6$ girls. If a total of $52$ single matches can be arranged between these two teams when a boy plays against a boy and a girl plays against a girl,then $n$ is equal to

How many words can be formed by taking two identical and two distinct letters from the letters of the word $COMBINATION$?

For which value of $n \in N$,does $n!$ have $13$ trailing zeros?

Let $m$ be a natural number such that $20000 < m < 60000$ and let $k$ be the sum of all the digits in $m$. Then the number of numbers $m$ for which $k$ is even,is

What is the remainder when $1! + 2! + 3! + \dots + 200!$ is divided by $14$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module