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5 months ago

Class 12th Maths

The largest $n \in N$ such that $3^{n}$ divides 50 ! is

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Payal Gupta

Contributor-Level 10

We can convert 50! In terms of prime factor: $2^{α} \cdot 3^{β} \cdot 5^{γ}$ & using the greatest integer function.

n $= [\frac{50}{3}] + [\frac{50}{3^{2}}] + [\frac{50}{3^{3}}] + [\frac{50}{3^{4}}]$
$= 16 + 5 + 1 + 0$ The maximum value of n is 22.

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New answer posted

5 months ago

Class 12th English

Directions of questions 17 to 20: Go through the table given blow and solve the questions based on it.

The table given below gives the unit cost of transportation of material of three products A, B and C produced by ABC Ltd to five depots D1, D2, D3, D4 and D5. The production figures of the three products A, B and C are 240 units, 1200 units and 840 units respectively.

Product	Transportation cost per unit (Rs.)
Product	D1	D2	D3	D4	D5
A	15	16	24	20	10
B	30	32	30	28	40
C	18	15	20	16	11

By how much is the average transportation cost of B more than that of A?

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Vishal Baghel

Contributor-Level 10

(d)

We do not know how many units of which product are shipped to which depot.

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New answer posted

5 months ago

Class 12th English

Directions of questions 17 to 20: Go through the table given blow and solve the questions based on it.

Product	Transportation cost per unit (Rs.)
Product	D1	D2	D3	D4	D5
A	15	16	24	20	10
B	30	32	30	28	40
C	18	15	20	16	11

Which of the following would involve the least cost?

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Vishal Baghel

Contributor-Level 10

(d)

The cost of transportation for each options are:

(a) 300 * 28 = Rs. 8400

(b) 200 * 30 = Rs. 6000

(d) 400 * 11 = Rs. 4400

Obviously, the cost of transportation of option (d) is the least.

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New answer posted

5 months ago

Class 12th English

Directions of questions 17 to 20: Go through the table given blow and solve the questions based on it.

Product	Transportation cost per unit (Rs.)
Product	D1	D2	D3	D4	D5
A	15	16	24	20	10
B	30	32	30	28	40
C	18	15	20	16	11

If 48 units of A are transported to each of the depots, what if the average cost of transportation?

0 Follower 1 View

Vishal Baghel

Contributor-Level 10

(a)

$R e q u i r e d a v e r a g e = \frac{15 + 16 + 24 + 20 + 10}{5} = R s . 17$

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New answer posted

5 months ago

Class 12th English

Directions of questions 17 to 20: Go through the table given blow and solve the questions based on it.

Product	Transportation cost per unit (Rs.)
Product	D1	D2	D3	D4	D5
A	15	16	24	20	10
B	30	32	30	28	40
C	18	15	20	16	11

What is the total cost of transportation of all units of all the products to DI?

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Vishal Baghel

Contributor-Level 10

(b)

Required cost

= (240 * 15) + (1200 * 30) + (840 * 18)

= Rs. 54720

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New answer posted

5 months ago

Class 12th English

Directions of questions 13 to 16: refer to the following tables and solve the question based on them.

Table 1 gives the transportation cost of a product from six factories F1, F2, F3, F4, F5 and F6 to five warehouses W1, W2, W3, W4 and W5.

	W1	W2	W3	W4	W5
F1	600	250	450	400	800
F2	850	400	450	600	750
F3	800	200	450	500	900
F4	900	400	550	250	700
F5	950	200	400	450	800
F6	850	350	500	500	750

Table 2 gives the transportation cost of a product from five warehouses W1, W2, W3, W4 and W5 to six retailers R1, R2, R3, R4, R5 and R6.

	R1	R2	R3	R4	R5	R6
W1	400	200	400	300	850	250
W2	500	500	450	600	700	300
W3	200	100	500	500	800	350
W4	400	300	450	400	900	400
W5	500	300	500	400	700	300

What is the maximum transportation cost at which the product can be supplied to R3 from any factory?

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Vishal Baghel

Contributor-Level 10

(c)

F3 to W4 to R3 is maximum. Therefore, option (c) is the correct answer.

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New answer posted

5 months ago

Class 12th Physics

A carrier wave with amplitude of 250 V is amplitude modulated by a sinusoidal base band signal of amplitude 150V. The ratio of minimum amplitude to maximum amplitude for the amplitude modulated wave is 50 : x, then value of x is__________.

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alok kumar singh

Contributor-Level 10

$A_{m a x} = A_{c} + A_{m}$

$A_{m i n} = A_{c} - A_{m}$

$\frac{A_{m i n}}{A_{m a x}} = \frac{A_{c} - A_{m}}{A_{c} + A_{m}} = \frac{250 - 150}{250 + 150}$

$\Rightarrow \frac{100}{400} = \frac{50}{200}$

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New answer posted

5 months ago

Class 12th English

Directions of questions 13 to 16: refer to the following tables and solve the question based on them.

Table 1 gives the transportation cost of a product from six factories F1, F2, F3, F4, F5 and F6 to five warehouses W1, W2, W3, W4 and W5.

	W1	W2	W3	W4	W5
F1	600	250	450	400	800
F2	850	400	450	600	750
F3	800	200	450	500	900
F4	900	400	550	250	700
F5	950	200	400	450	800
F6	850	350	500	500	750

Table 2 gives the transportation cost of a product from five warehouses W1, W2, W3, W4 and W5 to six retailers R1, R2, R3, R4, R5 and R6.

	R1	R2	R3	R4	R5	R6
W1	400	200	400	300	850	250
W2	500	500	450	600	700	300
W3	200	100	500	500	800	350
W4	400	300	450	400	900	400
W5	500	300	500	400	700	300

What is the minimum transportation cost at which the product can be supplied to R4 from any factory?

0 Follower 2 Views

Vishal Baghel

Contributor-Level 10

(c)

F4 to W4 to R4 is the lowest. Therefore, option (c) is the correct answer.

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New answer posted

5 months ago

Class 12th English

Directions of questions 13 to 16: refer to the following tables and solve the question based on them.

Table 1 gives the transportation cost of a product from six factories F1, F2, F3, F4, F5 and F6 to five warehouses W1, W2, W3, W4 and W5.

	W1	W2	W3	W4	W5
F1	600	250	450	400	800
F2	850	400	450	600	750
F3	800	200	450	500	900
F4	900	400	550	250	700
F5	950	200	400	450	800
F6	850	350	500	500	750

Table 2 gives the transportation cost of a product from five warehouses W1, W2, W3, W4 and W5 to six retailers R1, R2, R3, R4, R5 and R6.

	R1	R2	R3	R4	R5	R6
W1	400	200	400	300	850	250
W2	500	500	450	600	700	300
W3	200	100	500	500	800	350
W4	400	300	450	400	900	400
W5	500	300	500	400	700	300

What is the maximum transportation cost incurred in transferring the product any factory to any retailer?

0 Follower 1 View

Vishal Baghel

Contributor-Level 10

(b)

F5 to W1 to R5 is maximum. Therefore, option (b) is the correct answer.

0 0

New answer posted

5 months ago

Class 12th English

Directions of questions 13 to 16: refer to the following tables and solve the question based on them.

Table 1 gives the transportation cost of a product from six factories F1, F2, F3, F4, F5 and F6 to five warehouses W1, W2, W3, W4 and W5.

	W1	W2	W3	W4	W5
F1	600	250	450	400	800
F2	850	400	450	600	750
F3	800	200	450	500	900
F4	900	400	550	250	700
F5	950	200	400	450	800
F6	850	350	500	500	750

Table 2 gives the transportation cost of a product from five warehouses W1, W2, W3, W4 and W5 to six retailers R1, R2, R3, R4, R5 and R6.

	R1	R2	R3	R4	R5	R6
W1	400	200	400	300	850	250
W2	500	500	450	600	700	300
W3	200	100	500	500	800	350
W4	400	300	450	400	900	400
W5	500	300	500	400	700	300

What is the minimum transportation cost incurred in transferring the product from any factory to any retailer?

0 Follower 3 Views

Vishal Baghel

Contributor-Level 10

(b)

F3 to W2 to R6 is the lowest. Therefore, option (b) is the correct answer.

0 0

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