Consider the provided scenario and answer the following questions based on the given information.
The number of goats the youngest son received was:
Show Hint
- 15
- 18
- 12
- 10
The Correct Option is D
Solution and Explanation
The question asks for the number of goats received by the youngest son (the fourth son).
Scenario Breakdown:
Let the total wealth of the shepherd be 'W'. The wealth is distributed equally among four sons, so each son's share is W/4.
Eldest Son's Share: The eldest son received sheep worth 20% of the total worth (0.2W) and Rupees 33,750 in cash. \[ \frac{W}{4} = 0.2W + 33,750 \] \[ 0.25W - 0.2W = 33,750 \] \[ 0.05W = 33,750 \] \[ W = \frac{33,750}{0.05} = 675,000 \] The total wealth is Rupees 6,75,000. Each son's share is \( \frac{675,000}{4} = \text{Rupees} 1,68,750 \).
Eldest Son's Details: Sheep worth = 0.2 \(\times\) 675,000 = Rupees 1,35,000. Cash = Rupees 33,750. Total = Rupees 1,68,750.
Second Son's Details: The remaining worth after the first son is \( W - \frac{W}{4} = \frac{3W}{4} = 506,250 \). He received goats worth 20% of this remaining worth. Goats worth = 0.2 \(\times\) 506,250 = Rupees 1,01,250. Cash = Rupees 67,500. Total = 1,01,250 + 67,500 = Rupees 1,68,750. (This matches)
Third and Fourth Sons' Details: The remaining worth after the second son is \( 506,250 - 1,68,750 = \text{Rupees}3,37,500 \). Their total share is \( 2 \times 1,68,750 = \text{Rupees}3,37,500 \), which matches the remaining amount. The cash for each was Rupees33,750 more than the second son: Rupees 67,500 + Rupees 33,750 = Rupees 1,01,250. The value of cattle for each son is their total share minus cash: Rupees 1,68,750 - Rupees 1,01,250 = Rupees 67,500. They received an equal number of sheep (s) and goats (g), so s = g. \[ s \times 5400 + g \times 1350 = 67,500 \] \[ g \times (5400 + 1350) = 67,500 \] \[ g \times 6750 = 67,500 \implies g = 10 \] So, the third and fourth sons each received 10 sheep and 10 goats.
Step 2: Key Formula or Approach:
Based on our initial breakdown of the scenario, the youngest son received cattle worth Rupees67,500, consisting of an equal number of sheep and goats. Let 'n' be the number of sheep and also the number of goats. Value of 1 sheep = Rupees5,400.
Value of 1 goat = Rupees1,350.
\[ n \times (\text{Value of sheep}) + n \times (\text{Value of goat}) = \text{Total Cattle Value} \] Step 3: Detailed Explanation:
\[ n \times 5,400 + n \times 1,350 = 67,500 \] \[ n \times (5,400 + 1,350) = 67,500 \] \[ n \times 6,750 = 67,500 \] \[ n = \frac{67,500}{6,750} = 10 \] So, the youngest son received 10 goats (and 10 sheep).
Step 4: Final Answer:
The number of goats the youngest son received was 10.
Overall, how much wealth did the shepherd have before its distribution among his sons?
Show Hint
- Rupees7,75,000
- Rupees6,25,000
- Rupees6,75,000
- Rupees7,25,000
The Correct Option is C
Solution and Explanation
The question asks for the total wealth (cash + cattle) of the shepherd before any distribution.
Step 2: Key Formula or Approach:
We can determine the total wealth (W) from the information given for the eldest son. The share of each son is W/4. The eldest son's share is also given as (20% of W) + Rupees33,750. By equating these, we can solve for W.
\[ \frac{W}{4} = 0.20W + 33,750 \] Step 3: Detailed Explanation:
\[ 0.25W = 0.20W + 33,750 \] \[ 0.25W - 0.20W = 33,750 \] \[ 0.05W = 33,750 \] \[ W = \frac{33,750}{0.05} \] \[ W = 6,75,000 \] Step 4: Final Answer:
The shepherd had a total wealth of Rupees6,75,000 before the distribution.
The number of sheep the eldest son received was:
Show Hint
- 30
- 35
- 20
- 25
The Correct Option is D
Solution and Explanation
We need to find the number of sheep received by the eldest son.
Step 2: Key Formula or Approach:
From our initial calculations, we know the total wealth was Rupees6,75,000. The eldest son received sheep worth 20% of this total wealth.
\[ \text{Number of sheep} = \frac{\text{Total value of sheep received}}{\text{Value of one sheep}} \] Step 3: Detailed Explanation:
Total value of sheep for the eldest son = 20% of Rupees6,75,000
\[ \text{Value} = 0.20 \times 675,000 = \text{Rupees}1,35,000 \] The value of one sheep is Rupees5,400.
\[ \text{Number of sheep} = \frac{135,000}{5,400} = \frac{1350}{54} = 25 \] Step 4: Final Answer:
The eldest son received 25 sheep.
The total number of legs of all the cattle is:
Show Hint
- 560
- 580
- 540
- 520
The Correct Option is A
Solution and Explanation
The question asks for the total number of legs of all the sheep and goats combined. Since both sheep and goats have 4 legs, we need to find the total number of animals.
Step 2: Key Formula or Approach:
1. Find the number of sheep and goats each son received.
2. Sum them up to get the total number of cattle.
3. Multiply the total number of cattle by 4.
Step 3: Detailed Explanation:
Eldest son: 25 sheep (from Q.23), 0 goats.
Second son: Received goats worth Rupees1,01,250. Value of one goat is Rupees1,350.
Number of goats = \( \frac{101,250}{1,350} = 75 \) goats. 0 sheep.
Third son: 10 sheep, 10 goats (from Q.21).
Youngest son: 10 sheep, 10 goats (from Q.21).
Total number of cattle:
Total sheep = 25 + 0 + 10 + 10 = 45 sheep.
Total goats = 0 + 75 + 10 + 10 = 95 goats.
Total animals = 45 + 95 = 140 animals.
Total number of legs:
\[ \text{Total legs} = \text{Total animals} \times 4 = 140 \times 4 = 560 \] Step 4: Final Answer:
The total number of legs of all the cattle is 560.
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Questions Asked in SRCC GBO exam
Read the given passage and answer the questions.
For those of us without access to outside green space, houseplants are a stylish and affordable way of getting a nature fix. Alongside looking nice, indoor plants actually have several other perks- the biggest benefit of which could be improving your mental health. And the good news is you don’t need to be a self-professed” plant parent” to experience these benefits either. One in eight UK households don’t have access to any kind of garden. Young people and those from minority ethnic backgrounds are among those least likely to have a garden. Not having access to nature can have a number of effects on our health. It’s been linked to symptoms of depression and anxiety, as well as other health conditions, such as asthma, cardiovascular disease, and poor immune function. For many of us, houseplants are an essential link to nature. While there’s not yet a robust body of research on the mental health benefits of houseplants specifically, plenty of studies have shown how beneficial green space and gardening are for mental health. For instance, one study found that people who garden daily have better wellbeing and lower stress levels compared to those who don’t. Gardening also reduces symptoms of depression and anxiety and increases positive emotions to the same extent as biking, walking and eating out. Many of these outcomes are likely to be true of houseplants too. A recent review of 42 studies demonstrates that even just being in the presence of indoor plants can improve mental and physical health. These experiments compared participants doing various activities in rooms with or without plants. The presence of plants saw better performances on cognitive tasks involving focus, sorting or memory recall, greater pain tolerance when holding hands in ice cold water, and lower levels of physiological stress. Interestingly, the aesthetic appearance of plants is important too, with separate research showing that people tend to react more positively to lush, green plants with rounded and denser foliage. But most of these studies are centred around the mere presence of plants. From research on the benefits of gardening, we can assume that caring for houseplants will bring out many more emotional benefits- such as pride, social connection, satisfaction, fascination, mental resilience in times of stress, and may even help you heal from past trauma.... Plants can remove pollutants such as carbon dioxide, nitrogen dioxide (from nearby traffic), fine particles (from dust) and volatile organic compounds (from air fresheners, cooking and cleaning). For people indoors for the majority of the day, indoor air quality is hugely important. High concentrations of carbon dioxide can reduce cognitive performance (such as concentration and memory recall) while prolonged exposure to other indoor pollutants can cause long-term health problems- ranging from minor eye or throat irritations to respiratory problems and cancer. But removing a meaningful quantity of indoor pollutants would require a lot of plants in a very bright room- something unrealistic for most people. If you do want to give it a try, plants with a high leaf area- such as an India rubber tree (Ficus elastic) or devil’s ivy (Epipremnum aureum) are your best bet- SRCC GBO - 2026
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