Topics

# Find the least number which when divided by 18, 24, 32 leaves the remainder 4, 10 and 18 respectively.

 A) 274 B) 218 C) 284 D) 270

 A) 274

18, 24, 32

18-4=14, 24-10=14, 32-18=14

LCM of 18, 24, 32 is 288

$$\Large \frac{18,\ 24,\ 32}{2},\ \frac{9,\ 12,\ 16}{3},\ \frac{3,\ 4,\ 16}{4} = 3,\ 1,\ 4$$

Required number is 288 - 14 = 274

Part of solved LCM and HCF questions and answers : >> Elementary Mathematics >> LCM and HCF

Similar Questions
1). The product of two numbers is 216 and their HCF is 27, then the numbers are
 A). 80, 136 B). 76, 14 C). 96, 25 D). 27, 189
2). The LCM of two numbers is 2310 and their HCF is 30. If one number is 210, the other number is
 A). 16170 B). 2100 C). 1470 D). 330
3). The lease square which is divisible by 4, 12, 16 is
 A). 144 B). 400 C). 196 D). 225
4). The HCF and LCM of two numbers are 44 and 264 respectively. If the first number is divided by 2, the other number is
 A). 132 B). 33 C). 66 D). 264
5). The ratio of two numbers is 11 : 18 and their LCM is 41184. The numbers are
 A). 3744, 2288 B). 2288, 3744 C). 2652, 3062 D). None of the above.

6). The least number which when divided by 12, 1`5, 18 and 35 leaves the remainder 9 in each case is
 A). 1229 B). 1239 C). 1279 D). 1269
$$\Large \frac{7}{8}$$, $$\Large \frac{6}{7}$$, $$\Large \frac{4}{5}$$, $$\Large \frac{5}{6}$$
 A). $$\Large \frac{6}{7}$$ B). $$\Large \frac{5}{6}$$ C). $$\Large \frac{4}{5}$$ D). $$\Large \frac{7}{8}$$