Reasoning Aptitude > Data Interpretation
TABULATION MCQs
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Total Questions : 185
| Page 18 of 19 pages
Answer: Option B. -> 30%
Number of male athletes in 2006 from C
= 6.9 × 100
= 690
Number of male athletes in 2007 from C
= 4.8 ×100
= 480
$$\eqalign{
& \therefore \text{Decrease }\% \cr
& = \left(\frac{690-480}{690}\times100\right)\% \cr
& = \left(\frac{210}{690}\times100\right)\% \cr
& = \frac{700}{23} \% \cr
& = 30.4\% \cr
& \approx 30\% \cr} $$
Number of male athletes in 2006 from C
= 6.9 × 100
= 690
Number of male athletes in 2007 from C
= 4.8 ×100
= 480
$$\eqalign{
& \therefore \text{Decrease }\% \cr
& = \left(\frac{690-480}{690}\times100\right)\% \cr
& = \left(\frac{210}{690}\times100\right)\% \cr
& = \frac{700}{23} \% \cr
& = 30.4\% \cr
& \approx 30\% \cr} $$
Question 172. Directions (1 - 4): The following table gives the percentage distribution of population of five states, P, Q, R, S and T on the basis of poverty line and also on the basis of sex. Study the table and answer the questions based on it.![What Will Be The Male Population Above Poverty Line For Stat...]( "Click to Enlarge Image")
What will be the male population above poverty line for State P if the female population below poverty line for State P is 2.1 million?
What will be the male population above poverty line for State P if the female population below poverty line for State P is 2.1 million?
Answer: Option D. -> 3.3 million
Female population below poverty line for state P = 2.1 million.
Let the male population below poverty line for state P be x million.
Then,
$$\eqalign{
& 5:6 = x:2.1 \cr
& \Rightarrow \frac{x}{2.1} = \frac{5}{6} \cr
& \Rightarrow x = \frac{2.1\times5}{6} \cr
& \Rightarrow x = 1.75 \cr} $$
∴ Population below poverty line for state P
= (2.1 + 1.75) million
= 3.85 million
Let the population above poverty line for state P be y million.
Since, 35% of the total population of state P is below poverty line, therefore 65% of the total population of state P is above poverty line. So, the ratio of population below poverty line to that above poverty line for state P is 35 : 65.
$$\eqalign{
& \therefore 35 : 65 = 3.85 : y \cr
& \Rightarrow y = \frac{65\times3.85}{35} \cr
& \Rightarrow y = 7.15 \cr} $$
∴ Population above poverty line for state P = 7.15 million and so, male population above poverty line for state P
$$\eqalign{
& = \left(\frac{6}{13}\times 7.15\right) \text{million} \cr
& = 3.3 \text{ million} \cr} $$
Female population below poverty line for state P = 2.1 million.
Let the male population below poverty line for state P be x million.
Then,
$$\eqalign{
& 5:6 = x:2.1 \cr
& \Rightarrow \frac{x}{2.1} = \frac{5}{6} \cr
& \Rightarrow x = \frac{2.1\times5}{6} \cr
& \Rightarrow x = 1.75 \cr} $$
∴ Population below poverty line for state P
= (2.1 + 1.75) million
= 3.85 million
Let the population above poverty line for state P be y million.
Since, 35% of the total population of state P is below poverty line, therefore 65% of the total population of state P is above poverty line. So, the ratio of population below poverty line to that above poverty line for state P is 35 : 65.
$$\eqalign{
& \therefore 35 : 65 = 3.85 : y \cr
& \Rightarrow y = \frac{65\times3.85}{35} \cr
& \Rightarrow y = 7.15 \cr} $$
∴ Population above poverty line for state P = 7.15 million and so, male population above poverty line for state P
$$\eqalign{
& = \left(\frac{6}{13}\times 7.15\right) \text{million} \cr
& = 3.3 \text{ million} \cr} $$
Question 173. Directions (1 - 4): The following table gives the percentage distribution of population of five states, P, Q, R, S and T on the basis of poverty line and also on the basis of sex. Study the table and answer the questions based on it.![If The Population Of Males Below Poverty Line For State Q Is...]( "Click to Enlarge Image")
If the population of males below poverty line for State Q is 2.4 million and that for State T is 6 million, then the total population of state Q and T are in the ratio:
If the population of males below poverty line for State Q is 2.4 million and that for State T is 6 million, then the total population of state Q and T are in the ratio:
Answer: Option B. -> 2 : 5
For state Q:
Male population below poverty line = 2.4 million
Let the female population below poverty line be $$x$$ million
Then,
$$\eqalign{
& 3 : 5 = 2.4 : x \cr
& \Rightarrow x = \frac{5 \times 2.4}{3} \cr
& \Rightarrow x = 4 \cr} $$
∴ Total population below poverty line
= (2.4 + 4) million
= 6.4 million
Let the total population of Q be $$p$$
Then,
$$\eqalign{
& 25\% \text{ of }p = 6.4 \text{ million} \cr
& \Rightarrow \frac{25}{100}\times p = 6.4 \cr
& \Rightarrow p = 6.4\times4 \cr
& \Rightarrow p = 25.6 \text{ million} \cr} $$
For state T:
Male population below poverty line = 6 million
Let the female population below poverty line be $$y$$ million
Then,
$$\eqalign{
& 5 : 3 = 6 : y \cr
& \Rightarrow y = \frac{3\times6}{5} \cr
& \Rightarrow y = 3.6 \cr} $$
∴ Total population below poverty line
= (6 + 3.6) million
= 9.6 million
Let the total population of state T be $$q$$
Then,
$$\eqalign{
& 15\% \text{ of } q = 9.6 \text{ million} \cr
& \Rightarrow \frac{15}{100} \times q = 9.6 \cr
& \Rightarrow q = 9.6\times \frac{20}{3} \cr
& \Rightarrow q = 64 \text{ million} \cr
& \therefore \text{Required ratio} \cr
& = \frac{p}{q} \cr
& = \frac{25.6}{64} \cr
& = 0.4 \cr
& = \frac{4}{10} \cr
& = \frac{2}{5} \cr
& = 2 : 5 \cr
& \text{So, the ratio of } \text{Q}:\text{T} = 2:5 \cr} $$
For state Q:
Male population below poverty line = 2.4 million
Let the female population below poverty line be $$x$$ million
Then,
$$\eqalign{
& 3 : 5 = 2.4 : x \cr
& \Rightarrow x = \frac{5 \times 2.4}{3} \cr
& \Rightarrow x = 4 \cr} $$
∴ Total population below poverty line
= (2.4 + 4) million
= 6.4 million
Let the total population of Q be $$p$$
Then,
$$\eqalign{
& 25\% \text{ of }p = 6.4 \text{ million} \cr
& \Rightarrow \frac{25}{100}\times p = 6.4 \cr
& \Rightarrow p = 6.4\times4 \cr
& \Rightarrow p = 25.6 \text{ million} \cr} $$
For state T:
Male population below poverty line = 6 million
Let the female population below poverty line be $$y$$ million
Then,
$$\eqalign{
& 5 : 3 = 6 : y \cr
& \Rightarrow y = \frac{3\times6}{5} \cr
& \Rightarrow y = 3.6 \cr} $$
∴ Total population below poverty line
= (6 + 3.6) million
= 9.6 million
Let the total population of state T be $$q$$
Then,
$$\eqalign{
& 15\% \text{ of } q = 9.6 \text{ million} \cr
& \Rightarrow \frac{15}{100} \times q = 9.6 \cr
& \Rightarrow q = 9.6\times \frac{20}{3} \cr
& \Rightarrow q = 64 \text{ million} \cr
& \therefore \text{Required ratio} \cr
& = \frac{p}{q} \cr
& = \frac{25.6}{64} \cr
& = 0.4 \cr
& = \frac{4}{10} \cr
& = \frac{2}{5} \cr
& = 2 : 5 \cr
& \text{So, the ratio of } \text{Q}:\text{T} = 2:5 \cr} $$
Question 174. Directions (1 - 4): The following table gives the percentage distribution of population of five states, P, Q, R, S and T on the basis of poverty line and also on the basis of sex. Study the table and answer the questions based on it.![If The Male Population Above Poverty Line For State R Is 1.9...]( "Click to Enlarge Image")
If the male population above poverty line for state R is 1.9 million, then the total population of the state R is:
If the male population above poverty line for state R is 1.9 million, then the total population of the state R is:
Answer: Option D. -> 6.25 million
Let the total population of state R be x million.
Then, population of state R above poverty line
= [(100 - 24)% of x] million
= $$\left(\frac{76}{100}\times x\right)$$ million
And so, male population of state R above poverty line
$$\left\{ \frac{2}{5}\times\left(\frac{76}{100}\times x\right)\right\}$$ million
But, it is given that male population of state R above poverty line = 1.9 million
$$\eqalign{
& \therefore \frac{2}{5}\times\left(\frac{76}{100}\times x\right) = 1.9 \cr
& \Rightarrow x = \frac{5\times100\times1.9}{76\times2} \cr
& \Rightarrow x = 6.25 \cr} $$
∴ Total population of state R = 6.25 million
Let the total population of state R be x million.
Then, population of state R above poverty line
= [(100 - 24)% of x] million
= $$\left(\frac{76}{100}\times x\right)$$ million
And so, male population of state R above poverty line
$$\left\{ \frac{2}{5}\times\left(\frac{76}{100}\times x\right)\right\}$$ million
But, it is given that male population of state R above poverty line = 1.9 million
$$\eqalign{
& \therefore \frac{2}{5}\times\left(\frac{76}{100}\times x\right) = 1.9 \cr
& \Rightarrow x = \frac{5\times100\times1.9}{76\times2} \cr
& \Rightarrow x = 6.25 \cr} $$
∴ Total population of state R = 6.25 million
Question 175. Directions (1 - 4): The following table gives the percentage distribution of population of five states, P, Q, R, S and T on the basis of poverty line and also on the basis of sex. Study the table and answer the questions based on it.![What Will Be The Number Of Female Above Poverty Line In The ...]( "Click to Enlarge Image")
What will be the number of female above poverty line in the State S if it is known that the population of state S is 7 million?
What will be the number of female above poverty line in the State S if it is known that the population of state S is 7 million?
Answer: Option B. -> 2.43 million
Total population of state S = 7 million
∴ Population above poverty line
= {(100 - 19)% of 7} million
= (81% of 7) million
= 5.67 million
And so, the number of females above poverty line in state S
$$\eqalign{
& = \left(\frac{3}{7}\times5.67\right) \text{million} \cr
& = 2.43 \text{ million} \cr} $$
Total population of state S = 7 million
∴ Population above poverty line
= {(100 - 19)% of 7} million
= (81% of 7) million
= 5.67 million
And so, the number of females above poverty line in state S
$$\eqalign{
& = \left(\frac{3}{7}\times5.67\right) \text{million} \cr
& = 2.43 \text{ million} \cr} $$
Question 176. Directions (1 - 5): Sarp Infotech Solutions Software Company before selling a package to its clients, follows the given schedule.
Due to overrun in design, the stage took 3 months, i.e., months 3, 4 and 5. the number of people working on design in the fifth month was 5. Calculate the percentage change in cost incurred in the fifth month. (Due to improvement in Coding technique, this stage was completed in month 6-8 only.)
Due to overrun in design, the stage took 3 months, i.e., months 3, 4 and 5. the number of people working on design in the fifth month was 5. Calculate the percentage change in cost incurred in the fifth month. (Due to improvement in Coding technique, this stage was completed in month 6-8 only.)
Answer: Option A. -> 150%
% change in the cost incurred in the fifth month,
$$\eqalign{
& = \frac{100000-40000}{40000}\times100 \cr
& = 150\% \cr} $$
% change in the cost incurred in the fifth month,
$$\eqalign{
& = \frac{100000-40000}{40000}\times100 \cr
& = 150\% \cr} $$
Answer: Option B. -> Specification
Cost incurred in specification stage,
= (80000 + 120000)
= Rs. 200000
Which is maximum cost.
Cost incurred in specification stage,
= (80000 + 120000)
= Rs. 200000
Which is maximum cost.
Answer: Option B. -> Rs. 60,000
Difference between old and new technique,
= 190000 - 130000
= Rs. 60,000
Difference between old and new technique,
= 190000 - 130000
= Rs. 60,000
Question 179. Directions (1 - 5): Sarp Infotech Solutions Software Company before selling a package to its clients, follows the given schedule.
With reference to the previous question, what is the cost incurred in the new Coding stage ? (Under new technique 4 people work in the sixth month and 5 in the eighth).
With reference to the previous question, what is the cost incurred in the new Coding stage ? (Under new technique 4 people work in the sixth month and 5 in the eighth).
Answer: Option D. -> Rs. 1,90,000
In new technique 5 people working in 5th month, 4 in 6th, 5 in 7th and 5 in 8th.
Total people working in this period = 19
Each get paid Rs. 10000,
Then total cost = Rs. 1,90,000
In new technique 5 people working in 5th month, 4 in 6th, 5 in 7th and 5 in 8th.
Total people working in this period = 19
Each get paid Rs. 10000,
Then total cost = Rs. 1,90,000
Answer: Option C. -> 11 - 15
Average cost is lowest for 11 - 15
Average cost is lowest for 11 - 15
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