I want to stack the wooden blocks left after the carpentry work at home I stack them in groups...........

Quantitative Aptitude ( CCS) LCM, HCF

I want to stack the wooden blocks left after the carpentry work at home. I stack them in groups of 4 but 3 blocks get left out. So, I attempt with stacks of 5 blocks each but again 3 blocks remain left out. The same thing happens even when I try with 9 blocks and 10 blocks in each stack. Find the total number of blocks I have.

183

187

189

186

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Explanation:

Since we need total number of blocks, we must first find LCM of 4, 5, 9, 10
∴ LCM = 2 x 5 x 2 x 1 x 9 x 1 = 180
Since remainder is same i.e. 3 blocks in each case, just add it to this LCM
Number of blocks = 180 + 3 = 183