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10 months ago

Class 12th English

Direction for questions 1 to 4:

If the trade deficit in 2015 is Rs. 12320 crores, then the trade deficit in 2014, expressed in million pounds, is equal to

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Vishal Baghel

Contributor-Level 10

(b)

The trade deficit has increased by 6 percent in 2015 as compared to the previous year 2014.

Now, Trade deficit in 2015 = 1.06 * trade deficit in 2014

Trade deficit in 2014 = 12320/1.06

= Rs. 11622 crores

In 2014, 1 pound = Rs. 38

The trade deficit in 2014 in million pounds

= 11622/38

= £305.8 crores

= £3058 million … (1 crore = 10 million)

Hence, option (b).

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New answer posted

10 months ago

Class 12th Maths

Let $l = \frac{2 b^{2}}{a} = \frac{2 (1)}{3}$ be a twice differentiable function such that $\Rightarrow 9 (e^{2} + l)$ $= 9 (\frac{10}{9} + \frac{2}{3})$ , for all $= 10 + 6$ . If $= 16$ , then the value of $= \frac{10!}{5! 3! 2!} = 2520$ is

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Payal Gupta

Contributor-Level 10

$f : R \to R$

$(s i n ? x c o s ? y) (f (2 x + 2 y) - f (2 x - 2 y)) = (c o s ? x$ Put $s i n ? y) (f (2 x + 2 y) + f (2 x - 2 y))$

$x, y \in R$ Put $f^{'} (0) = \frac{1}{2}$

$24 f^{''} (\frac{5 π}{3})$

$(s i n ? x c o s ? y) (f (2 x + 2 y) - f (2 x - 2 y)) = (c o s ? x s i n ? y)$

$(f (2 x + 2 y) + f (2 x - 2 y))$

$f (2 x + 2 y) (s i n ? (x - y)) = f (2 x - 2 y) s i n ? (x + y)$

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New answer posted

10 months ago

Class 12th English

Direction for questions 1 to 4:

Exports in 2014 were Rs. 28950 crores. If the value of imports was the same for 2013 and 2014, find the exports in 2013.

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Vishal Baghel

Contributor-Level 10

(d)

The trade deficit has increased by 5 percent in 2014 as compared to the previous year 2013.

Trade deficit in 2014

$= T r a d e d e f i c i t i n 2013 + \frac{5}{100} (T r a d e ? d e f i c i t ? i n ? 2013 ? ?)$

$= T r a d e d e f i c i t i n 2014 = \frac{105 (T r a d e ? d e f i c i t ? i n ? 2013 ? ?)}{100}$

(Exports in 2014 – Imports in 2014) = 1.05 * (Exports in 2013 – Imports in 2013)

Now, Imports in 2014 = Imports in 2013 = z

28950 – z = 1.05 * (Exports in 2023 – z)

We have two variables in one equation.

The data is insufficient to answer the question.

Hence, option (d).

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New answer posted

10 months ago

Class 12th Maths

Let A be a matrix of order $3 * 3$ and $| A | = 5$ . If $| 2 a d j (3 A a d j (2 A)) | = 2^{α} \cdot 3^{β} \cdot 5^{γ} α, β, γ \in N$ then $α + β + γ$ is equal to

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alok kumar singh

Contributor-Level 10

: $? 2$ adj $(3 A$ adj(2A))|
${= 2}^{3} . ? 3 A$ adj(2A)| $|^{2}$

${= 2}^{3} \cdot {(3^{3})}^{2} \cdot | A |^{2} \cdot | a d j (2 A) |^{2}$ intersect the line $= 2^{3} \cdot 3^{6} \cdot | A |^{2} \cdot {(| 2 A |^{2})}^{2}$ at the point

$= 2^{3} \cdot 3^{6} \cdot | A$

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New answer posted 10 months ago

Class 12th English

Direction for questions 1 to 4: In which year was the percentage change in the growth rate of the trade deficit (in rupees) minimum?

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Vishal Baghel Contributor-Level 10

(c)We can see that the slope of the line from year 2015 to 2016 if the lowest. Lesser the slope, lesser is the percentage change. (However, note that though the slope of the line for 2013 and 2015 is the same, the percentage change for the two years is not.)Hence, option (c).

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New answer posted 10 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

10 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

10 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?

0 Follower 5 Views

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

10 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

10 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?

0 Follower 1 View

Vishal Baghel

Contributor-Level 10

(b)

Required cost

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

= Rs. 54720

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