Advertisements
Advertisements
प्रश्न
Find the least number of square tiles required to pave the ceiling of a room 15m 17cm long and 9m 2cm broad.
उत्तर
It is given that:
Length of a tile = 15m 17m = 1517cm [∵ 1m = 100cm]
Breadth of a tile = 9m 2m = 902cm
∴ Side of each square tile = HCF (1517, 902)
Prime factorization:
1517 = 37 × 41
902 = 22 × 41
∴ HCF = product of smallest power of each common prime factor in the numbers = 41
∴ Required number of tiles = `"𝐴𝑟𝑒𝑎 𝑜𝑓 𝑐𝑒𝑖𝑙𝑖𝑛𝑔" / "𝐴𝑟𝑒𝑎 𝑜𝑓 𝑜𝑛𝑒 𝑡𝑖𝑙𝑒" `=` (1517 × 902) / (41 × 41 )= 37 × 22 = 814`
APPEARS IN
संबंधित प्रश्न
Prove that the product of two consecutive positive integers is divisible by 2.
Define HOE of two positive integers and find the HCF of the following pair of numbers:
100 and 190
Find the simplest form of `69 /92` .
Three pieces of timber 42m, 49m and 63m long have to be divided into planks of the same length. What is the greatest possible length of each plank? How many planks are formed?
Express each of the following as a rational number in its simplest form:
(i) ` 0. bar(365)`
The LCM of two numbers is 1200, show that the HCF of these numbers cannot be 500. Why ?
If a = 23 ✕ 3, b = 2 ✕ 3 ✕ 5, c = 3n ✕ 5 and LCM (a, b, c) = 23 ✕ 32 ✕ 5, then n =
Use Euclid's division algorithm to find the HCF of 255 and 867.
What is the greatest possible speed at which a man can walk 52 km and 91 km in an exact number of hours?
