**core concept**and formula of the number system in the

**L.C.M and H.C.F shortcut formula**. Today, we are going to give you some important

**quantitative aptitudes**to solve

**math problems**. The previous tutorial was based on the number system and had given you the shortcuts formula and solution of some

**important aptitude**which was prepared on the basis of numbers. Today, we are going to discuss some quantitative aptitudes which are based on the problem of our real-life. We have followed to prepare

**aptitude question**which has already followed by the examiner in

**previous years question of SSC**

**CHSL, CGL, PSC, I.B, Railway Recruitment exam**, Banking exams and some others popular

**competitive examinations**. So, let's look at the below few solved aptitude questions.

## L.C.M and H.C.F solved Questions

##
__Aptitude 1:__ Three bells ring at the interval of 20, 30 and 40 minutes respectively. If all bells were rung at 9 a.m, then when will ring all bells in next time?

**Solution by math tricks:**Here we have to find the L.C.M of 20, 30 and 40 minutes. Then the L.C.M value (minutes) convert into hours. Then we have to add that with 9 a.m. You can solve it easily without any copy pen. The L.C.M of 20, 30and 40 is 120. 120 minutes =2hours. So the next time all bells will ring at 9:00 a.m + 2hours=11:00 am.

__Problem 2:__

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