Recent questions tagged cat2008

0 votes
2 answers
81
The number of common terms in the two sequences $17, 21, 25,\dots,417$ and $16, 21 26,\dots,466$ is$78$$19$$20$$27$$22$
2 votes
1 answer
82
Let $f(x) = ax^2 + bx +c$, where $a$, $b$ and $c$ are certain constants and $a \neq 0$. It is known that $f(5) = -3 f(2) $ and that 3 is a root of $f(x)=0$.What is the ot...
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2 answers
87
What are the last two digits of $7^{2008}?$$21$$61$$01$$41$$81$
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1 answer
89
What is the number of distinct terms in the expansion of $(a + b + c)^{20}?$$231$$253$$242$$210$$228$
1 votes
1 answer
90
How many integers, greater than $999$ but not greater than $4000,$ can be formed with the digits $0, 1, 2, 3$ and $4,$ if repetition of digits is allowed?$499$$500$$375$$...