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Five men decide to go shopping to Karol Bagh, Delhi. They arrived at the designated meeting place in the following order: 1. Raman, 2. Aman, 3. Dev, 4. Sanjay, and 5. Kamal. Each men spent at least Rs. 1000 below are some additional facts about how much they spent during their shopping spree.

i. The man who spent Rs. 2234 arrived before the man who spent Rs. 1193.

ii. One man spent Rs. 1340 and he was not Dev.

iii. One man spent Rs. 1378 more than Aman.

iv. One man spent Rs. 2517 and he was not Raman.

v. Sanjay spent more than Dev.

vi. Kamal spent the largest amount and Aman the smallest.

What was the amount spent by Sanjay?

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One of the men spent 2517 – 1378 = 1139, he is Aman. This is the only possibility as we add Rs. 1378 even to the least amount Rs. 1193, we will not be able to satisfy all the conditions given simultaneously.

So, the table obtained is:

Raman	Aman	Dev	Sanjay	Kamal
2234	1139	1139	1340	2517

(b)

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Direction for questions 9 to 12:

Coach Rahul sat with the score cards of Indian players from the 3 games in a one-day cricket tournament where the same set of players played for India and all the major batsmen got out. Rahul summarized the batting performance through three diagrams, one for each game. In each diagram the three outer triangles communicate the number of runs scored by the three top scorers from India, where K, R, S, V and Y represent Krunal, Rohit, Sanjay, Virat and Yogesh respectively. The Middle triangle in each diagram denotes the percentage of total score that was scored by the top three Indian scorers in that game.

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(b)

Y scored 127 in G1 and G3. V scored 130 in G1 itself.

K's mas score could be 28 + 51 + 48 = 127

R's mas score could be 49 + 55 + 22 = 126

S's mas score could be 75 + 50 + 22 = 147

Only R definitely scored less than Y.

Hence, option 2.

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Direction for questions 9 to 12:

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(c)

Form answer to the first question, the M-index of only R and S can be exactly calculated.

Hence, option (c)

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Direction for questions 9 to 12:

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(a)

If y2 < 40, then y's R-index = 87 y2 > 47; i.e. 47 < Y's R-index 87

If y2 > 40, then Y's R-index = 87 – 40 = 47

47 ≤ Y's R-index ≤ 87

Similarly,

23 ≤ K's R-index ≤ 51

33 ≤ S's R-index ≤ 55

53 ≤ S's R-index ≤ 75

82 ≤ V's R-index ≤ 130

Any one of Y, K or R could have the lowest R-index.

Hence, option (a).

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Direction for questions 9 to 12:

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(a)

Consider game against Pakistan (G1).

Runs scored by Y, V and K = 40 + 130 + 28 = 198

Total runs scored = 198/0.9 = 220

Runs scored by R (r₁) and S (s₁), r₁, s₁ < 28 and r₁+ +s₁? 22

Consider the game against South Africa (G2).

Runs scored by K, R and S = 51 + 49 + 75 = 175

Total runs scored = 175/0.7 = 250

Runs scored by Y (y₂) and V (v₂), y₂, v₂ < 49 and y₂ + v₂? 75

Consider the game against Australia (G3).

Runs scored by R, Y and S = 87 + 55 + 50 = 192

Total runs scored = 192/0.8 = 240

Runs scored by V (v₃) and K (k₃), v₃, k₃ < 50, v₃+ k₃? 48

R's M-index = 49

S's M-index = 50

V's M-index? 49

Y's M-index is either 40 or between 41 and 49.

S had the best M-index.

Hence, o

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Direction for questions 5 to 8:

There are 20000, 30000, 40000 and 50000 men in a town over a period of 4 years from 2011 to 2014. In the same period, the number of women has increased at the rate of 10 percent every year, beginning at 13000 in 2011. The number of boys in the town increases at 5 percent per year. In 2014, the number of boys is 12000. The number of girls has been increasing at 25 percent and in 2014 their number was 10000.

The line graph below shows the percentage of literates in the town between 2011 and 2014.

In 2011, what was the number of literates in the town?

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(c)

For 2011, the following table can be created.

	Population	Literacy Rate	No. of Literates
Men	20000	30%	6000
Women	13000	40%	5200
Boys	12000/ (1.5)³	15%	1555
Girls	10000/ (1.25)³	50%	2560
Total			15315

Hence, option 3.

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Direction for questions 5 to 8:

The line graph below shows the percentage of literates in the town between 2011 and 2014.

In 2012, what was the ration of literate women to literate boys?

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(d)

In 2012, the population of women = 1.1 * 13000 and that of boys = 12000/ (1.05)2

Literacy rate of women and boys in 2012 is 20 percent and 50 percent respectively.

The ration of literate women to literate boys in 2012

$= \frac{20 % o f (1.1 * 13000)}{50 % o f \frac{12000}{{(1.05)}^{2}}} = 0.52$

Hence, option (d)

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Direction for questions 5 to 8:

The line graph below shows the percentage of literates in the town between 2011 and 2014.

In which year is the number of literates in the town maximum?

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(c) rather than calculating for each year, we can deduce that since the number of men is significantly greater than the other three, the maximum number of literacy rate for men.

In 2003, the literacy rate for men is 50 percent, which is the highest for his category.

Considering that the number of men in the year 2013 is 40000, the number of literate men will be 20000 which is much higher as compared to the literate men in other years.

Hence, option (c)

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Direction for questions 5 to 8:

The line graph below shows the percentage of literates in the town between 2011 and 2014.

What was the percentage increase in the number of literate girls from 2013 to 2014?

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(b)

Number of literates = Population * Literacy rate

Thus, if the percentage change in the population is a% and that in the literacy rate is b%, then the percentage change in the number of literates = (a + b +ab/100)%

From 2013 to 2014, the population of girls has increased by 25 percent and literacy rate has changed from 10 percent to 25 percent

i.e. (45 - 10) * 100/10 = 350 percent increase in literacy rate

Percentage change in the number of literate girls = 25 + 350 + (25 * 350)/100 = 462.5 percent

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Direction for questions 1 to 4:

If the value of the rupee against the pound is expected to decline by 10 percent in 2017, then what would be the value of £1(in rupees) in 2017?

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