What could be the value of Q in the following equation? 4P8+8Q3+7R8=2079
Where 4P8,8Q3,7R8 are three digit numbers with ten's digit as P,Q,R respectively.
A
Between 0≤Q≤9
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B
More than or equal to 7
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C
Less than 6
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D
Between 0≤Q≤11
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Solution
The correct options are A Between 0≤Q≤9 B More than or equal to 7 C Less than 6 Given equation is 4P8+8Q3+7R8=2079 Sum of unit digits in (4P8+8Q3+7R8) is 19, so 1 will be carried to ten's place. 4 P 8 8 Q 3 7 R 8 ------------ 2 0 7 9 ∴1+P+Q+R=17 Also 0+9+7=16 Hence maximum value of Q=9