Topics

# 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.

 B) 2288, 3744

Let the numbers be 11x and 18x

Their LCM is $$\Large \left(11 \times 18\right)x$$

$$\Large \left(11 \times 18\right)x = 41184$$

The numbers are $$\Large \left(11 \times 208,\ 18 \times 208\right)$$

i.e., $$\Large \left(2288,\ 3744\right)$$

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

Similar Questions
1). 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
2). Find the greatest 4 digit number which when divided by 15, 18, 21 and 27 leaves in each case a remainder 7.
 A). 9457 B). 9547 C). 9947 D). 9967
3). Which of the following fraction is the greatest?
$$\Large \frac{7}{8}$$, $$\Large \frac{6}{7}$$, $$\Large \frac{4}{5}$$, $$\Large \frac{5}{6}$$
 A). $$\Large \frac{6}{7}$$ B). $$\Large \frac{5}{6}$$ C). $$\Large \frac{4}{5}$$ D). $$\Large \frac{7}{8}$$
4). A number when divided by 32 leaves the remainder 29. This number when divided by 8 will leave the remainder
 A). 3 B). 5 C). 7 D). 29
5). A number lying between 1000 and 2000 is such that on division by 2, 3, 4, 5, 6, 7 and 8 leaves remainder respectively 1, 2, 3, 4, 5, 6 and 7. The number is
 A). 1876 B). 1679 C). 1778 D). 1654

6). Three persons begin to walk around a circular track. They complete their revolutions in $$\Large 15\frac{1}{6}\ secs., 16\frac{1}{4}] secs.\ and\ 18\frac{2}{3}\ secs.$$ rerspectively. After what time will they be together at the starting point again?
 A). $$\Large 303\frac{1}{3}$$ secs. B). 364 secs. C). 3604 secs, D). 3640 secs.
9). The LCM of $$\Large x^{3}-1$$, $$\Large x^{2}-1$$ and $$\Large \left(x-1\right)^{2}$$ is
 A). $$\Large \left(x+1\right) \left(x-1\right) \left(x^{2}+x+1\right)$$ B). $$\Large \left(x+1\right)^{2} \left(x-1\right) \left(x^{2}-x+1\right)$$ C). $$\Large \left(x-1\right)^{2} \left(x-1\right) \left(x^{2}+x+1\right)$$ D). $$\Large \left(x-1\right)^{2} \left(x+1\right) \left(x^{2}-x+1\right)$$