Direction (1-5) : For the two given equations l & ll, give answer
Q. l. p2 + 7p + 10 = 0 ll. q2 + 11q + 30 = 0
l. p2 + 7p + 10 = 0
= p(p + 5) +2(p + 5) = 0
= p = -2, -5
ll. q2 + 11q + 30 =0
= q = -5, -6
∴ p > q
Q. l. p2 - 9p + 20= 0 ll. 5q2 - 7q + 1 = 0
l. p2 - 9p + 20 = 0
= p(p - 5) -4(p - 5) = 0
= p = 4, 5
ll. q = 7+ √49 - 20/10 = 7+ √29/10
Q. l. p2 - 12p - 28 = 0 ll. q2 + 12p + 36 = 0
l. p2 - 12p - 28 = 0
= p(p - 14) + 2(p - 14) = 0
= p = -2, 14
ll. q2 + 12q + 36 = 0
= q = -6, -6
Q. l. 3p2 + 8p - 5 = 0 ll. 10q2 + 9q + 2 = 0
3p2 + 8p - 5 = 0
= p = -8+ √124/6 = -8 + 11/6 = -19/6, 1/2
ll. 10q2 + 9q + 2 = 0
= 5q (2q + 1) + 2 (2q + 1) = 0
= (5q + 2) (2q + 1) = 0
= q = -2/5, -1/2
None of the relations exist.
Q. l. p2 - 17p + 72 = 0 ll. 3q2 + 17q + 10 = 0
l. p2 - 17p + 72 = 0
= p(p - p) -8(p - 9) = 0
= p = 8, 9
ll. 3q2 + 17q + 10 = 0
= q = -17+ √289 - 120/6
= q = -17+ √169/6 = -17 + 13/6
= q = -5, -2/3
Direction (6-10) : Study the following pie-charts and answer the questions that follow:
Which is the costliest brand (not including Others) ?
The costliest brand is the one where the ratio of market share percentage by value to market share percentage by volume is the highest. So we have
Capstan = 23/37, Gold Flake = 27/25,
wills = 25/20, Classic = 20/15,
Classic is the coste liest brand.
Sales of Gold Flake (by volume) is what per cent of sales of Wills Navy Cut (by volume) ?
25/20 x 100 = 125.
The price of 'Classic' is higher than the average market price by how many rupees ?
We do not have the actual average market price, so the question can't be answered.
What is the rate per packet for Gold Flake ?
No Explanation
Assume the total sales by volume is 2 crore packets and the annual value of the sales is 20 crore rupees. What is the sale price of a packet of Gold Flake ?
Market share of Gold Flake by volume
= 25% of 2 cr = 0.5 cr packets
27% of 20 cr = 5.4 cr
Rate per packet = 5.4/0.5
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