✓ Board-verified
Mathematics · 2026 · 3 marks
CBSE 2026 · Region 4 · Set 2 · Q26
A trader has three different types of oils of volume 870 l, 812 l and 638 l. Find the least number of containers of equal size required to store all…
A trader has three different types of oils of volume $\displaystyle 870 l, 812 l$ and $\displaystyle 638 l$. Find the least number of containers of equal size required to store all the oil without getting mixed.
Marking-scheme solution
Least number of containers means maximum volume in each container.
\[\begin{aligned}
& 870=2 \times 3 \times 5 \times 29 \\
& 812=2^{2} \times 7 \times 29 \\
& 638=2 \times 11 \times 29 \\
& \therefore \text { H.C.F. }(870,812,638)=2 \times 29=58 \\
& \text { Number of containers of different types required }=\frac{870}{58}+\frac{812}{58}+\frac{638}{58} \\
& =15+14+11 \\
& =40
\end{aligned}
\]
More from Real Numbers
- The quadratic equation x^2+x+1=0 has roots.2024
- Find the greatest 3-digit number which is divisible by 18, 24 and 36.2023
- Prove that √3 is an irrational number.2023
- The roots of the quadratic equation 4 x^2-5 x+4=0 are2024
- Three sets of Physics, Chemistry and Mathematics books have to be stacked in such a way that all the books are stored subject-wise and the height of…2025
- Prove that √5 is an irrational number.2023
- (1+√3)^2-(1-√3)^2 is:2025
- The probability for a randomly selected number out of 1,2,3,4, …, 25 to be a composite number is:2026
CBSE Class 10 Mathematics past-paper question from the 2026 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.