Question

If in 1999 the total passed candidates from different parts of the country was 650, then how many non fresher candidates from Bihar passed the examination in 1999?

• A. 200
• B. 195
• C. 198
• D. 204
• A. 1398
• B. 1588
• C. 1608
• D. 1408
• A. 760 : 187
• B. 187 : 760
• C. 40 : 11
• D. None of these
• A. 210
• B. 480
• C. 450
• D. 500
• A. 500
• B. 300
• C. 350
• D. 450

Answer 1

The Correct Option is C

Step 1: Read the two charts.
The table gives the share of the total passed candidates that came from each region in 1999. Bihar's share is 38%.
The line graph gives, for each region, what percent of that region's passed candidates were freshers (students who passed their graduation the same year). For Bihar this value is 20%.

Step 2: Find the total passed candidates from Bihar.
The overall total passed in 1999 is 650. Bihar's share is 38% of this total.
\[ \text{Bihar total} = 650 \times \frac{38}{100} = 247 \]

Step 3: Find the freshers from Bihar.
Freshers are 20% of Bihar's 247 passed candidates.
\[ \text{Bihar freshers} = 247 \times \frac{20}{100} = 49.4 \]

Step 4: Find the non-fresher candidates.
Non-freshers are what remain after removing the freshers from the Bihar total.
\[ \text{Non-freshers} = 247 - 49.4 = 197.6 \approx 198 \]
This rounds to 198, so option (1) 200, option (2) 195 and option (4) 204 do not match the figure worked out from the chart.

Final Answer:
The number of non-fresher candidates from Bihar in 1999 is 198. \[ \boxed{198} \]

Answer 2

Step 1: Read the two charts.
The table gives WB's share of the total passed candidates as 10%, and Others' share as 25%. The line graph gives WB's freshers as 25% of WB's passed candidates, and Others' freshers as 12% of Others' passed candidates.

Step 2: Find the total passed candidates from WB.
We are told WB had 160 freshers, and freshers are 25% of WB's total.
\[ \text{WB total} = \frac{160}{25\%} = \frac{160}{0.25} = 640 \]

Step 3: Find the grand total for 1999.
WB's 640 candidates make up 10% of the overall total.
\[ \text{Grand total} = \frac{640}{10\%} = \frac{640}{0.10} = 6400 \]

Step 4: Find the total passed candidates from Others.
Others' share of the grand total is 25%.
\[ \text{Others total} = 6400 \times 0.25 = 1600 \]

Step 5: Find the freshers, then the non-freshers, from Others.
Freshers from Others are 12% of 1600.
\[ \text{Others freshers} = 1600 \times 0.12 = 192 \]
\[ \text{Others non-freshers} = 1600 - 192 = 1408 \]
The close-looking values 1398, 1588 and 1608 come from small slips in the percentage used or the base amount, so they are not correct.

Final Answer:
The non-fresher candidates who passed from Others in 1999 are 1408. \[ \boxed{1408} \]

Answer 3

Step 1: Find the grand total using the UP data.
UP's share of the grand total is 16%, and we are told UP's total passed candidates in 1999 is 112.
\[ \text{Grand total} = \frac{112}{16\%} = \frac{112}{0.16} = 700 \]

Step 2: Find Bihar's total and its freshers.
Bihar's share is 38%, so Bihar's total is $700 \times 0.38 = 266$. Bihar's fresher rate from the line graph is 20%.
\[ \text{Bihar freshers} = 266 \times 0.20 = 53.2 \]

Step 3: Find Orissa's total and its non-freshers.
Orissa's share is 11%, so Orissa's total is $700 \times 0.11 = 77$. Orissa's fresher rate is 15%, so its non-fresher rate is 85%.
\[ \text{Orissa non-freshers} = 77 \times 0.85 = 65.45 \]

Step 4: Form the ratio and simplify.
\[ \text{Bihar freshers} : \text{Orissa non-freshers} = 53.2 : 65.45 \]
Multiply both sides by 20 to clear the decimals:
\[ 53.2 \times 20 = 1064, \quad 65.45 \times 20 = 1309 \]
Both 1064 and 1309 divide exactly by 7:
\[ 1064 \div 7 = 152, \quad 1309 \div 7 = 187 \]
So the ratio in lowest terms is 152 : 187.

Step 5: Compare with the options.
152:187 is not the same as 760:187 (option 1) or 187:760 (option 2). Checking option 3, $40:11 = 3.64$, while $152:187 = 0.81$, so it does not match either. Since the worked-out ratio matches none of the listed choices, the answer is None of these.

Final Answer:
The correct ratio, 152:187, is not listed among the first three options. \[ \boxed{\text{None of these}} \]

Answer 4

Step 1: Find the grand total using the Orissa data.
Orissa's share is 11%, and we are told Orissa's total passed candidates in 1999 was 77.
\[ \text{Grand total} = \frac{77}{11\%} = \frac{77}{0.11} = 700 \]

Step 2: Find Bihar's and Others' totals in 1999.
Bihar's share is 38%: $700 \times 0.38 = 266$. Others' share is 25%: $700 \times 0.25 = 175$.

Step 3: Apply the 2000 growth rates.
Bihar grows by 10%, so its 2000 figure is $266 \times 1.10 = 292.6$. Others grows by 20%, so its 2000 figure is $175 \times 1.20 = 210$.

Step 4: Add the two 2000 figures.
\[ 292.6 + 210 = 502.6 \]
The question asks for the approximate total, and 502.6 sits much closer to 500 than to 210, 480 or 450.

Final Answer:
The approximate combined total of Bihar and Others passed candidates in 2000 is 500. \[ \boxed{500} \]

Answer 5

Step 1: Find UP's fresher and non-fresher rates from the line graph.
The line graph shows UP's freshers are 25% of UP's total passed candidates, so UP's non-freshers are $100\% - 25\% = 75\%$.

Step 2: Find UP's total passed candidates.
We are told the non-fresher count from UP is 60, and this is 75% of UP's total.
\[ \text{UP total} = \frac{60}{75\%} = \frac{60}{0.75} = 80 \]

Step 3: Find the grand total using UP's pie share.
UP's share of the grand total is 16%, so its 80 candidates represent 16% of the whole.
\[ \text{Grand total} = \frac{80}{16\%} = \frac{80}{0.16} = 500 \]

Step 4: Check against the options.
This matches option (1), 500, while 300, 350 and 450 do not agree with the value worked out from the two charts.

Final Answer:
The total number of candidates who passed the exam from all parts of the country in 1999 is 500. \[ \boxed{500} \]