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Class 8
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Maths
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Playing with Numbers
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Hard Questions
Playing With Numbers
Maths
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Hard Qs
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In the following, find the digits represented by the letters:
$3$
$+B $
$7 $
Hard
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In the following, find the digits represented by the letters:
$2A$
$×A $
$12A $
Hard
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In the following, find the digits represented by the letters:
$1AA$
$+1AA $
$2AA $
Hard
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The value of A is :
A
$9$
B
$7$
C
$6$
D
$1$
Hard
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Which of the following is/are true?
(i)
$A=B+C$
(ii)
$A$
is the greatest digit integer
(iii)
$C=0$
A
i & iii
B
ii & iii
C
i & ii
D
iii only
Hard
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In the following, find the digits represented by the letters:
$3A$
$×A $
$2BA $
Hard
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Write the following numbers in generalised form:
$39,52,106,359,628,3458,9502,7000$
Hard
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Suppose a 3 digit number abc is divisible by 3. Prove that abc + bca + cab is divisible by 9.
Hard
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Call a natural number
$n$
faithful, if there exist numbers
$a<b<c$
such that
$a$
divides
$b,b$
divides
$c$
and
$n=a+b+c$
. Show that all but a finite number of natural numbers are faithful. Find the sum of all natural numbers which are not faithful.
Hard
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In the following, find the digits represented by the letters:
$16$
$+2A $
$B1 $
Hard
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