IPMAT 2021 - Quantitative Aptitude Question 16
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IPMAT 2021 - Quantitative Aptitude
(743)85
Unit digit cycle of 3 → 4x + 1 → 3
4x + 2 → 9
4x + 3 → 7
4x → 1
85 = 4x + 1
Unit digit cycle of (743)85 = 3
Unit digit cycle of 5
Any power = 5
Unit digit of (525)37 = 5
Unit digit cycle of 7 →
4x + 1 = 7
4x + 2 = 9
4x + 3 = 3
4x = 1
96 = 4x
(987)96 = 1
= 3 – 5 + 1
= 4 – 5
But unit digit cannot be negative so we take a carry from previous number so 14 – 5
Unit digit = 9