121012 = 12 x 10084 + 4
? remainder = 4
92 and 85 are coprime numbers because their HCF is 1.
When a number is divisible by 11, then sum of numbers at even place - sum of numbers at odd place = 0 or divisible by 11.
( x + x + 1 ) - ( 1+ 5 + 0 ) = 11
? 2x - 5 = 11
? x = 8
Units digit in the given product = Units digit of 4 x 8 x 7 x 3
= Units digit of 672
= 2
Place value of 5 in 65231 = 5 x 1000
= 5000
Face value = 5
required product = 5000 x 5 = 25000
By checking options
91-19=72
Or
Let the number be xy
So 10x + y = 10 ..... (i)
When the number is reversed the new number is yx
So (10y + 10 ) - ( 10x +y ) = 72 ....(ii)
From Eqs. (i) & (ii)
x = 1 and y =9
?number = 19
Place value of 8 = 800
Face value of 8 = 8
? required sum = 800 + 8
Face value is the value of digit itself
? face value of 7 = 7
dividend = divisor x quotient + remainder
= ( 13 x 30) + 12
= 390 + 12
= 402
Position value of 6 = 10000
First whole number is 0 and when any number is multiplied with zero, then result is zero.
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