Arihant Expert Team Solutions for Exercise 1: PRACTICE QUESTIONS for Phase I

If two numbers are in the ratio of $2:3$ and the product of LCM and HCF is $33750$, what will be the sum of numbers?

The greatest number of six digits which when divided by $6,7,8,9, and 10$ gives $4,5,6,7, and 8$ respectively as the remainder is:

What will be the greatest number that divides $1023$ and $750$ leaving remainders $3 and 2$ respectively?

Four Drums containing water have capacities $135 L$, $205 L$, $165 L$, $240 L$. The greatest capacity measure which can be used to measure the capacities of the drum is:

The greatest number which on dividing $42$, $49$, and $56$ will leave  $0$, $1$, and $2$ respectively as remainder, is:

Samantha, Jessica and Roseline begin to jog around a circular stadium. They complete their revolutions in $84 s$, $56 s$ and $63 s$  respectively. After how many seconds will they be together at the starting point?

Four bells ring at intervals of $30$ min, $1$ h, $1\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.$ hour and $1$ h $45$ min, respectively. All the bells ring simultaneously at $12$ noon. They will again ring simultaneously at

Three rods of lengths $15$ m, $42$ m and $39$ m are to be cut into pieces of equal length. What is the greatest possible length of each pieces?