In a school there are two sections - section A and section B of C… - Vidyadip

Question

In a school there are two sections - section $A$ and section $B$ of Class $VI$. There are $32$ students in section $A$ and $36$ in section $B$. Determine the minimum number of books required for their class library so that they can be distributed equally among students of section $A$ or section $B.$

✓

Answer

We have to find the $LCM$ of $32$ and $36$.
Prime factorization of $32 = 2 \times 2 \times 2 \times 2 \times 2$
Prime factorization of $36 = 2 \times 2 \times 3 \times 3$
Required $LCM = 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 = 288$
Therefore, Minimum number of books required $= LCM$ of $32$ and $36 = 288$ books

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from Playing with numbers→Playing with numbers — all question types→MATHS STD 6 question papers→Gujarat Board STD 6 question papers→Gujarat Board question paper generator→

Similar questions

Shikha and Aarushi are sisters. The ratio of their ages is $3 : 4$. Their parents give them $Rs. 1400$ to share in the ratio of their ages. How much does each of them recieve?

Solve the following equation and verify the answer: $3x - 5 = 13$

What is the smallest number that, when divide by $35, 56$ and $91$ leaves remainders of $7$ in each case?

Construct a square of side 6 cm. Draw a circle of radius 2 cm inside the square whose centre is same as the centre of the square.

In an election, the votes cast for two of the candidates were in the ratio $5 : 7$. If the successful candidate received $20734$ votes, how many votes did his opponent receive?

Find two numbers such that one of them exceeds the other by $18$ and their sum is $92.$

Check whether the given fractions are equivalent :$\frac59,\frac{30}{54}$

Telegraph poles occur at equal distances of $220 m$ along a road and heaps of stones are put at equal distances of $300 m$ along the same road. The first heap is at the foot of the first pole. How far from it along the road is the next heap which lies at the foot of a pole?

Complete the figure so that line l becomes the line of symmetry of the whole figure.

Rearrange the digits of 10084305 to get the smallest number of 8 digits.