[Download PDF] sbi-associate-po-2007 Paper with Solutions

Instructions

In each of the following question two equations are given you have to solve them and
Give answer (a)if pGive answer (b)if p>q
Give answer (c)if $$p\leq$$q
Give answer(d)if $$p\geq$$q
Give answer (e)if p=q

Question 91

I.$$p^{2}-7p=-12$$
II.$$q^{2}-3q+2=0$$

Video Solution

Solution

$$p^2-7p+12 = 0$$
$$(p-3)(p-4) = 0$$
$$p = 3, 4$$

$$q^2-3q+2 = 0$$
$$(q-1)(q-2) = 0$$
$$q = 1, 2$$

$$\therefore p > q$$

Question 92

I. $$12p^{2}-7p=-1$$
II. $$6q^{2}-7q+2=0$$

Video Solution

Solution

$$12p^2-7p+1 = 0$$
$$(4p-1)(3p-1) = 0$$
$$p = \frac{1}{3}, \frac{1}{4}$$

$$6q^2-7q+2 = 0$$
$$(2q-1)(3q-2) = 0$$
$$q = \frac{1}{2}, \frac{2}{3}$$

$$\therefore p < q$$

Question 93

I.$$p^{2}+12p+35=0$$
II.$$2q^{2}+22q+56=0$$

Video Solution

Solution

$$p^2+12p+35 = 0$$
$$(p+5)(p+7) = 0$$
$$p = -5, -7$$

$$2q^2+22q+56 = 0$$
$$q^2+11q+28 = 0$$
$$(q+4)(q+7) = 0$$
$$q = -4, -7$$

As we can see $$p$$ can be greater than, less than or equal to $$q$$. No relationship can be established between $$p$$ and $$q$$ and hence, option E is the right answer.

Question 94

I.$$p^{2}-8p+15=0$$
II.$$q^{2}-5q=-6$$

Video Solution

Solution

$$p^2-8p+15 = 0$$
$$(p-3)(p-5) = 0$$
$$p = 3, 5$$

$$q^2-5q+6 = 0$$
$$(q-2)(q-3) = 0$$
$$q = 2, 3$$

$$p\geq q$$

Question 95

I.$$2p^{2}+20p+50=0$$
II.$$q^{2}=25$$

Video Solution

Solution

$$2p^2+20p+50 = 0$$
$$p^2+10p+25 = 0$$
$$(p+5)^2 = 0$$
$$p = -5$$

$$q^2 = 25$$
$$q = 5, -5$$

$$p\leq q$$

Instructions

Study the following graph to answer the given questions.
Production of two Companies A and B over the years(Production in Lakh units)

Question 96

For Company A what is the per cent decrease in production from 2000 to 2001 ?

Video Solution

Solution

The production changed from 4 to 3. So, from 4, it changed by 1. So, this is a reduction of 25%

Question 97

In 2007 the production of Company B is approximately what per cent of that of in 2006 ?

Video Solution

Solution

Production in 2007 = 11 lakh units

Production in 2006 = 7 lakh units

So, the required percentage = $$ \frac{11}{7}*100$$ = 157%

Question 98

For Company A in which year is the percentage increase/decrease in the production from the previous year the highest ?

Video Solution

Solution

From the graph, we can see that the slope of the graph is the steepest in 2002.

We can calculate and confirm that as well.

The required percentage = $$ \frac{Production.in.2002-Production.in.2001}{Production.in.2001}*100 $$

= 100* (8-3)/3 = 166.67%

Question 99

What is the difference in the total production of the two Companies for the given years ?

Video Solution

Solution

The required number is the sum of the differences in every year of the 2 companies.

So, it is 3 + 2 + 7 + 6 + 5 + 2 + 1 + 1 = 27 lakhs

Question 100

Which of the following is the closest average production in lakh units of Company B for the given years ?

Video Solution

Solution

The total production of B in the given years = 1 + 1 + 1 + 2 + 3 + 5 + 7 + 11 = 31

The average = 31/ 8 = 3.88

CAT Content

sbi-associate-po-2007

I.$$p^{2}-7p=-12$$ II.$$q^{2}-3q+2=0$$

I. $$12p^{2}-7p=-1$$ II. $$6q^{2}-7q+2=0$$

I.$$p^{2}+12p+35=0$$ II.$$2q^{2}+22q+56=0$$

I.$$p^{2}-8p+15=0$$ II.$$q^{2}-5q=-6$$

I.$$2p^{2}+20p+50=0$$ II.$$q^{2}=25$$

For Company A what is the per cent decrease in production from 2000 to 2001 ?

In 2007 the production of Company B is approximately what per cent of that of in 2006 ?

For Company A in which year is the percentage increase/decrease in the production from the previous year the highest ?

What is the difference in the total production of the two Companies for the given years ?

Which of the following is the closest average production in lakh units of Company B for the given years ?

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I.$$p^{2}-7p=-12$$
II.$$q^{2}-3q+2=0$$

I. $$12p^{2}-7p=-1$$
II. $$6q^{2}-7q+2=0$$

I.$$p^{2}+12p+35=0$$
II.$$2q^{2}+22q+56=0$$

I.$$p^{2}-8p+15=0$$
II.$$q^{2}-5q=-6$$

I.$$2p^{2}+20p+50=0$$
II.$$q^{2}=25$$