Prakash Tiwari and Ishita Joshi Solutions for Chapter: Playing With Numbers, Exercise 9: Assessment

Find HCF and LCM of $1278 \mathrm{and} 1704$.

Find the largest number which on dividing $3740 \mathrm{and} 3155$ leaves remainders $2 \mathrm{and} 5$, respectively.

The H.C.F. of two numbers $135 \mathrm{and} 150 \mathrm{is} 15$. Find the L.C.M.

An oil seller had three types of oil $671 \mathrm{L}$ of first kind, $549 \mathrm{L}$ of second kind and $793 \mathrm{L}$ of third kind. Find the least possible numbers of cans of equal size in which different types of oil can be filled without mixing.

There are five bells which ring at intervals of $4, 9, 16, 20 \mathrm{and} 30$ seconds, respectively. If all the five bells start ringing at $10 \mathrm{o}\text{'}\mathrm{clock}$, then when  will they next ring together?

The three dimensions, i.e., the length, breadth and height of a dinning hall of a house are $450 \mathrm{cm}, 750 \mathrm{cm} \mathrm{and} 800 \mathrm{cm}$, respectively. Determine the length of the longest tape that can measure all these three dimensions with $100\%$ accuracy.

Six bullets are released from six different toy guns at intervals of $3, 4, 6, 10, 12 \mathrm{and} 18$ seconds, respectively. Determine the intervals at which they all will be fired together.

Find the least number which when divided by $18$ gives a remainder $13$, when divided by $21$ gives a remainder $16$ and when divided by $27$ gives a remainder $22$.