Question

II. Find the greatest number which divides 275
and 430 leaving remainder 3 and 5 respectively.
12. Find the greatest S-digit number divisible by
2
16, 48 and 144.​

Answer 1

Answer:

xnxnxnxnfnfnnxnf

12e56

Step-by-step explanation:

xjjdjdj

dfnf 1485i5

5557

66779jdnnf

Answer 2

11)

The greatest number which divides 275and 430 leaving remainder 3 and 5 is 1.

To find,

The greatest number which divides 275

and 430 leaving remainder 3 and 5

Solution:

275 -3 = 273

430 -5 = 425

273 = 31 × 3 × 3 × 1

425 = 5 × 5 × 17 × 1

The HCF is 1.

The greatest number which divides 275and 430 leaving remainder 3 and 5 is 1.

12)

Find the greatest 5-digit number divisible by 216, 48 and 144.

Answer:

The greatest 5-digit number divisible by 216, 48 and 144 is 99792.

To find,

The greatest 5-digit number divisible by

216, 48 and 144

Solution

The LCM of 16,48,144

• 216 = 2³ × 3³
• 48 = 2⁴ × 3
• 144 = 2⁴ × 3³
• The LCM is 432

Divide the largest 5 digit number by 432 and ignore the remainder

• 99999/432 ≈ 231

Multiply 432 and 231

• 432 × 231 = 99792

The greatest 5-digit number divisible by 216, 48 and 144 is 99792.

# SPJ2