Question

A trailer is a large vehicle for hauling vehicles from one place to another or from the factory to the car
showrooms. A leading manufacturer of cars in India has its factory located in Gurugram in Haryana. On
a particular weekend, there was a surge in demand for cars. Two models of cars to be transported to
various locations across the country. There were 792 cars of model A and 612 cars of model B.

41. The maximum number of cars that can be loaded in a trailer such that each trailer has the same
number of cars of the same model is:
(a) 12
(b) 18
(c) 36
(d) 72
42. The number of trailers required for transporting the cars is:
(a) 39
(b) 78
(c) 156
(d) 312
43. The LCM of 792 and 612 is:
(a) 1224
(b) 1584
(c) 6732
(d) 13464
44.
44. The power of 2 in the prime factorization of 792 is:
(a) 1
(b) 2
(c) 3
(d) 4
45. The LCM of the smallest multiple of 4 and smallest multiple of 6 is:
(a) 6
(b) 12
(c) 24
(d) 48

Answer 1

Answer:

First oneas answer is

36

Second one is

39

Third one is

13464

fourth one is

3

fifth one is 12

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Given: A trailer is a large vehicle for hauling vehicles from one place to another or from the factory to the car showrooms.

A leading manufacturer of cars in India has its factory located in Gurugram in Haryana.

On a particular weekend, there was a surge in demand for cars.

Two models of cars to be transported to various locations across the country. There were 792 cars of model A and 612 cars of model B.

To find:

41. The maximum number of cars that can be loaded in a trailer such that each trailer has the same number of cars of the same model is:

(a) 12

(b) 18

(c) 36

(d) 72

Ans:To find maximum number of cars that can be loaded in a trailer such that each trailer has the same number of cars of the same model.

Calculate HCF of 792 and 612:

$792 = 2 \times 2 \times 2 \times 3 \times 3 \times 11$

$612 = 2 \times 2 \times 3 \times 3 \times 17$

$HCF(792,612) = {2}^{2} \times {3}^{2}$

$HCF(792,612) = 4 \times 9$

$\bf HCF(792,612) = 36$

Thus,

Option c is correct.

42. The number of trailers required for transporting the cars is:

(a) 39

(b) 78

(c) 156

(d) 312

Ans: As one trailer can contain 36 cars.

Total number of trailer required:

$= \frac{792 + 612}{36}$

$= \frac{1404}{36}$

$= 39$

Option a is correct.

43. The LCM of 792 and 612 is:

(a) 1224

(b) 1584

(c) 6732

(d) 13464

Ans:

Prime factors are written in Q41.

Thus,

$LCM(792,612) = {2}^{3} \times {3}^{2} \times 11 \times 17$

$LCM(792,612) = 8 \times 9 \times 11 \times 17$

$LCM(792,612) = 72\times 187$

$\bf LCM(792,612) = 13464$

Option d is correct.

44. The power of 2 in the prime factorization of 792 is:

(a) 1

(b) 2

(c) 3

(d) 4

Ans: From Q41 it is clear that, power of 2 is 3.

Option c is correct.

45. The LCM of the smallest multiple of 4 and smallest multiple of 6 is:

(a) 6

(b) 12

(c) 24

(d) 48

Ans:

Smallest multiple of 4: 4

Smallest multiple of 6:6

$4 = 2 \times 2$

$6 = 2 \times 3$

$LCM(4,6) = {2}^{2} \times 3$

$LCM(4,6) = 4 \times 3$

$\bf LCM(4,6) = 12$

Option b is correct.

Final answer:

41) 36; option c is correct.

42) 39; option a is correct.

43) 13464; option d is correct.

44) 3; option c is correct.

45) 12; option b is correct.

Hope it will help you.

Learn more:

1) the Lcm of 3/4 6/5 4/15 is

A] 12

B] 1/12

C] 7

D]24

https://brainly.in/question/48477446

2)Hcf of 216 , 126 in division method

https://brainly.in/question/28054136