Topics

General Knowledge
General Science
General English
Aptitude
General Computer Science
General Intellingence and Reasoning
Current Affairs
Exams
Elementary Mathematics
English Literature

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.

Correct Answer:


B) 2288, 3744

Description for Correct answer:
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

Comments

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.

7). The greatest number, which divides 171, and 251 leaving remainders 3 and 6 respectively is

A). 3

B). 5

C). 7

D). 15

8). The HCF of two positive integers is 5 and their LCM is 105. The numbers are

A). 5, 105

B). 15, 35

C). 5, 105 or 15, 35

D). None of these

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). \( \Large \left(x-1\right)^{2} \left(x+1\right) \left(x^{2}-x+1\right) \)

10). Find the perimeter of a rectangular field whose length is 60 mts. and breadth is 40 mts.

A). 200 mts.

B). 324 mts.

C). 446 mts.

D). 554 mts.