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3 months ago

Logical Reasoning Class 12th

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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Vishal Baghel

Contributor-Level 10

(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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New answer posted

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Logical Reasoning Class 12th

Direction for questions 9 to 12:

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Vishal Baghel

Contributor-Level 10

(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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New answer posted

3 months ago

Logical Reasoning Class 12th

Direction for questions 9 to 12:

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Vishal Baghel

Contributor-Level 10

(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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New answer posted

3 months ago

Logical Reasoning Class 12th

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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Vishal Baghel

Contributor-Level 10

(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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New answer posted

3 months ago

Logical Reasoning Class 12th

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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Vishal Baghel

Contributor-Level 10

(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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New answer posted

3 months ago

Logical Reasoning Class 12th

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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Vishal Baghel

Contributor-Level 10

(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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New answer posted

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Logical Reasoning Class 12th

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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Vishal Baghel

Contributor-Level 10

(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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New answer posted

3 months ago

Logical Reasoning Class 12th

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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Vishal Baghel

Contributor-Level 10

(a) In 2016, £1= Rs. 42 (old rupees)

However, by 2017 the value of the rupee will decline by 10 percent.

£1 will now be worth a higher amount of rupees.

In terms of pounds in 2017, we have, £0.9 = Rs. 42 (new rupees)

£1 = 42/0.9 = Rs. 46.6

Hence, option (a)

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New answer posted

3 months ago

Logical Reasoning Class 12th

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

3 months ago

Logical Reasoning Class 12th

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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