Asish Kumar Solutions for Chapter: Playing with Numbers, Exercise 6: Chapter Test

In $56*891$ replace $*$ by the smallest digit to make it divisible by $3$. 

 In $56*891$ replace $*$ by the largest digit to make it divisible by $3$.

Replace $*$ by a digit to make the number divisible by $11:78*3945$

Find the greatest number which divides $1385,1457$ and $1628$ leaving remainders $5,2$ and $8$ respectively.

Find the least number which on adding $15$ is exactly divisible by $10,15,25,30,40$ and $45$.

Four bells ring at intervals of $8,12,18$ and $20$ minutes respectively. At what time will they ring together if they start ringing simultaneously at $12:00$noon ?

The HCF and LCM of two numbers are $89$ and $1335$ respectively. If one of the number is $267$, find the other. 

The length, breadth and height of a room are $9 \mathrm{m} 52 \mathrm{cm}, 5 \mathrm{m} 24 \mathrm{cm}$ and $4 \mathrm{m} 12 \mathrm{cm}$ respectively. If the length of the longest tape is $\mathrm{x} \mathrm{cm}$, find the length of the longest tape which can measure the dimensions of the room exactly.