**Directions(1-5):** Find the relation between p and q and choose a required answer.

- I. 2p^2 – 7p + 3 = 0

II. 4q^2 + 3q – 1= 0q>pp>=qp>qNo relation.q>=pOption C

I. 2p^2 – 6p – p + 3 = 0

=>2p(p – 3) -1(p – 3) = 0

=> (2p – 1)(p- 3) = 0

p = 1/2,3

II. 4q^2 + 4q – q – 1 = 0

=> 4q(q + 1) -1(q + 1) = 0

=>(4q – 1)(q + 1) = 0

q = 1/4 ,-1

p > q - I. p^2 – 5p + 6 = 0

II. q^2 – 3q + 2 = 0q>=pq>pp>=qNo relation.p>qOption C

I. p^2 – 3p – 2p + 6 = 0

=>p(p – 3) -2(p – 3) = 0

=>(p – 2)(p – 3) = 0

p = 2, 3

II. q^2 – 2q – q + 2 = 0

=>q(q – 2) -1(q – 2) = 0

=>(q – 1)(q – 2) = 0

q = 1, 2

p >= q - I. p^2 + 11p + 30 = 0

II. q^2 – 11q + 30 = 0p>qNo relation.q>=pp>=qq>pOption E

I.p^2 + 6p + 5p + 30 = 0

=>p(p + 6) +5(p + 6) = 0

=>(p + 5) (p + 6) = 0

p = -5, -6

II. q^2 – 6q – 5q + 30 = 0

=>q(q – 6) -5(q – 6) = 0

=>(q – 6) (q – 5) = 0

q = 5, 6

p < q - I. p^2 – 169 = 0

II. q^2 – 289 + 195 = 0q>=pp>qp>=qq>pNo relation.Option A

I. p^2 = 169

p = 13

II. q^2 – 15q – 13q + 195 = 0

=>q(q – 15) – 13(q – 15) = 0

=>(q – 13)(q – 15) = 0

q = 13, 15

q>=p - I. 4p^2 – p – 3 = 0

II. 2q^2 + q – 1 = 0p>=qNo relation.q>pp>qq>=pOption B

I. 4p^2 – 4p + 3p – 3 = 0

=>4p(p -1)+ 3(p – 1) = 0

=>(4p + 3) (p – 1) = 0

p = 1, -3/4

II. 2q^2 + 2q – q – 1 = 0

=>2q(q + 1) -1(q + 1) = 0

=>(q + 1)(2q – 1) = 0

q = 1/2, -1

No relation. - If the exports of Company A in the year 2011 was Rs. 10 lakhs, then what would be the value of imports in the same year for Company B?
45374850Can’t be determined.Option E

Can’t be determined. - If the imports of Company A in the year 2010 and the exports of Company B in the year 2011 were Rs. 60 lakhs and Rs. 50 lakh respectively, then what is the ratio of the imports of Company A in the year 2010 to that of Company B in the year 2011?
6:54:35:27:52:3Option B

Import of A/Export of A = 1.2

Import of A = 60 lakhs

Import of B/ Export of B = 0.9

Export of B = 50 lakhs

Import of B = 0.9 × 50 = 45 lakhs

Ratio = 4/3 - If the imports of Company A in 2011 was Rs 80 lakhs and the exports of Company B in 2010 was Rs 180 lakhs, then by what percentage was the imports of Company B in 2010 more than the exports of Company A in 2011?
10%7%8%6%12%Option C

For A (2011) I/E = 0.8

E = 80/0.8 = 100 lakhs

For B (2010)

I/E = 0.6

I = 0.6 × 180 = 108 lakhs

Required% = [108-100]/100*100 = 8% - In which of the years was the imports of Company A the maximum?
201020082012Can’t be determined.2013Option D

Can’t be determined. - The ratio of imports to exports of Company A in the year 2009 was what percentage more than that Company in the same year?
10%40%20%30%50%Option C

Required% = [0.9-0.75]/0.75*100 = 20%

**Directions(6-10):**Following graph shows the ratio of imports to exports of two companies A and B during the year 2008 – 2013.