Find the least number which when divided by 1 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) First,observe the difference between the divisor and the corresponding remainder:$12 - 8 = 4$$18 - 14 = 4$$36 - 32 = 4$$45 - 41 = 4$Since the diff

Vedclass · Accepted Answer

$176$

Vedclass · Answer

(C) First,observe the difference between the divisor and the corresponding remainder:$12 - 8 = 4$$18 - 14 = 4$$36 - 32 = 4$$45 - 41 = 4$Since the difference is constant $(4)$,the required number is $\operatorname{LCM}(12, 18, 36, 45) - 4$.Calculate the $\operatorname{LCM}$ of $12, 18, 36, 45$:$12 = 2^2 	imes 3$$18 = 2 	imes 3^2$$36 = 2^2 	imes 3^2$$45 = 3^2 	imes 5$$\operatorname{LCM} = 2^2 	imes 3^2 	imes 5 = 4 	imes 9 	imes 5 = 180$.Therefore,the required number $= 180 - 4 = 176$.

Find the least number which when divided by $12, 18, 36$ and $45$ leaves the remainder $8, 14, 32$ and $41$ respectively.

Similar Questions

The product of two numbers is $120$. The sum of their squares is $289$. The sum of the two numbers is

The numerator and denominator of a fraction are in the ratio of $2:3$. If $6$ is subtracted from the numerator,the result is a fraction that has a value $\frac{2}{3}$ of the original fraction. The numerator of the original fraction is

The sum of two numbers is $22$. Five times one number is equal to $6$ times the other. The bigger of the two numbers is

$\frac{28 \times 36}{18 \% \text{ of } 50} = ?$

$9067 + 2065 - 8400 + 3045 - 1520 = ?$

Vedclass Test Series

Exam Paper Generator

Online Exam Module