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Question 1 of 5
1. Question
Consider the following question and statements
Question: What is the current age of the Father?
Statement I: The ratio of the present ages of the Father and the Son is 7 : 2.
Statement II: Five years ago, the ratio of their ages was 6 : 1.Options:
Correct
Answer: (c)
Explanation
Using Statement I alone:
Let the present ages of Father and Son be 7x and 2x.
The value of x is not known, so the Father’s exact age cannot be determined.
Hence, Statement I alone is not sufficient.Using Statement II alone:
Let the ages five years ago be 6y and y.
Then present ages would be (6y + 5) and (y + 5).
Again, the exact values cannot be found without another relation.
Hence, Statement II alone is not sufficient.Using Statements I and II together:
From Statement I, present ages are 7x and 2x.
So, five years ago, their ages were (7x − 5) and (2x − 5).According to Statement II:
(7x − 5) : (2x − 5) = 6 : 1So,
7x − 5 = 6(2x − 5)
7x − 5 = 12x − 30
5x = 25
x = 5Father’s present age = 7x = 35 years.
Thus, both statements together are sufficient to find the Father’s current age.
Incorrect
Answer: (c)
Explanation
Using Statement I alone:
Let the present ages of Father and Son be 7x and 2x.
The value of x is not known, so the Father’s exact age cannot be determined.
Hence, Statement I alone is not sufficient.Using Statement II alone:
Let the ages five years ago be 6y and y.
Then present ages would be (6y + 5) and (y + 5).
Again, the exact values cannot be found without another relation.
Hence, Statement II alone is not sufficient.Using Statements I and II together:
From Statement I, present ages are 7x and 2x.
So, five years ago, their ages were (7x − 5) and (2x − 5).According to Statement II:
(7x − 5) : (2x − 5) = 6 : 1So,
7x − 5 = 6(2x − 5)
7x − 5 = 12x − 30
5x = 25
x = 5Father’s present age = 7x = 35 years.
Thus, both statements together are sufficient to find the Father’s current age.
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Question 2 of 5
2. Question
The ratio of the surface areas of two spheres is 9 : 16. These two spheres are melted and recast into a single solid cylinder whose height is equal to the sum of the radii of the two spheres.
What is the ratio of the volume of the first sphere to the volume of the newly formed cylinder? -
Question 3 of 5
3. Question
The ratio of land to water on the entire Earth is 3 : 7. In the Northern Hemisphere, the ratio of land to water is 1 : 2. Find the ratio of land to water in the Southern Hemisphere.
Correct
Answer: (d)
Explanation:
Let total surface area = 10 units.
Land = 3 units, water = 7 units.Each hemisphere area = 5 units.
Northern Hemisphere ratio = 1 : 2
Total parts = 3 parts = 5 units
One part = 5/3 unitsNorthern Hemisphere:
Land = 5/3
Water = 10/3Southern Hemisphere:
Land = 3 − 5/3 = 4/3
Water = 7 − 10/3 = 11/3So, ratio:
(4/3) : (11/3) = 4 : 11Incorrect
Answer: (d)
Explanation:
Let total surface area = 10 units.
Land = 3 units, water = 7 units.Each hemisphere area = 5 units.
Northern Hemisphere ratio = 1 : 2
Total parts = 3 parts = 5 units
One part = 5/3 unitsNorthern Hemisphere:
Land = 5/3
Water = 10/3Southern Hemisphere:
Land = 3 − 5/3 = 4/3
Water = 7 − 10/3 = 11/3So, ratio:
(4/3) : (11/3) = 4 : 11 -
Question 4 of 5
4. Question
A total of 2520 tokens are divided among A, B and C. From their shares:
- A gives away 20 tokens
- B gives away 40 tokens
- C gives away 60 tokens
After this, the ratio of tokens left with them becomes 9 : 8 : 7. How many tokens did A originally receive?
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Question 5 of 5
5. Question
The rapid growth of digital platforms has led to an unprecedented accumulation of user-generated data. Every online interaction—search queries, location updates, browsing patterns, and social media activity—contributes to an individual’s digital footprint. These data trails are routinely processed by algorithms to personalise services, assess creditworthiness, and target advertisements.
From a systems perspective, digital footprints enhance efficiency by reducing information asymmetry between service providers and users. However, they also increase exposure to profiling, behavioural manipulation, and data breaches. Regulatory frameworks and corporate governance mechanisms have attempted to address these risks, but enforcement remains uneven across jurisdictions. As data-driven decision-making expands, the management of digital footprints is becoming a central issue in digital governance.
Which one of the following statements best reflects the corollary to the above passage?
Correct
Answer: (c)
Explanation:
Option (c) is correct: The passage balances efficiency gains with risks such as profiling and breaches, and highlights governance gaps. It implies that growing data use creates regulatory and security challenges.
Option (a) is incomplete: Advertising is only one aspect.
Option (b) ignores risks.
Option (d) contradicts the reference to uneven enforcement.Incorrect
Answer: (c)
Explanation:
Option (c) is correct: The passage balances efficiency gains with risks such as profiling and breaches, and highlights governance gaps. It implies that growing data use creates regulatory and security challenges.
Option (a) is incomplete: Advertising is only one aspect.
Option (b) ignores risks.
Option (d) contradicts the reference to uneven enforcement.










