Considering the alarming importance of CSAT in UPSC CSE Prelims exam and with enormous requests we received recently, InsightsIAS has started Daily CSAT Test to ensure students practice CSAT Questions on a daily basis. Regular Practice would help one overcome the fear of CSAT too.We are naming this initiative as Insta– DART – Daily Aptitude and Reasoning Test. We hope you will be able to use DART to hit bull’s eye in CSAT paper and comfortably score 100+ even in the most difficult question paper that UPSC can give you in CSP-2021. Your peace of mind after every step of this exam is very important for us.
Looking forward to your enthusiastic participation (both in sending us questions and solving them on daily basis on this portal).
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Question 1 of 5
1. Question
With reference to the passage, the following assumptions have been made:
- Households with similar economic indicators may experience different levels of economic security.
- Reducing uncertainty is as important as improving measurable development outcomes.
Which of the above assumptions is/are valid?
Correct
Answer: (a)
Explanation
Assumption I is correct:
The passage explicitly states that households with similar income or consumption levels may differ widely in exposure to risks such as health shocks or employment volatility. This directly validates the assumption.Assumption II is incorrect:
While the passage highlights coexistence of improved indicators and heightened uncertainty, it does not make a value judgement that reducing uncertainty is as important as improving outcomes. That is a normative policy inference, which UPSC assumption questions strictly avoid.Incorrect
Answer: (a)
Explanation
Assumption I is correct:
The passage explicitly states that households with similar income or consumption levels may differ widely in exposure to risks such as health shocks or employment volatility. This directly validates the assumption.Assumption II is incorrect:
While the passage highlights coexistence of improved indicators and heightened uncertainty, it does not make a value judgement that reducing uncertainty is as important as improving outcomes. That is a normative policy inference, which UPSC assumption questions strictly avoid. -
Question 2 of 5
2. Question
If a is greater than or equal to 30 and b is less than or equal to 50, then which one of the following is always correct?
Correct
Answer: (c)
Solution:
Given that,
a ≥ 30 and b ≤ 50
Now, the maximum possible value of (b − a) is when
b = 50 and a = 30So, b − a = 20
Hence, (b − a) can never exceed 20
Option (a) is incorrect as a = 35 and b = 40 is possible
Option (b) is incorrect as (b − a) cannot be greater than 20
Option (d) is incorrect as 30 + 40 = 70 which is less than 90Hence, option (c) is correct.
Incorrect
Answer: (c)
Solution:
Given that,
a ≥ 30 and b ≤ 50
Now, the maximum possible value of (b − a) is when
b = 50 and a = 30So, b − a = 20
Hence, (b − a) can never exceed 20
Option (a) is incorrect as a = 35 and b = 40 is possible
Option (b) is incorrect as (b − a) cannot be greater than 20
Option (d) is incorrect as 30 + 40 = 70 which is less than 90Hence, option (c) is correct.
-
Question 3 of 5
3. Question
In a college, every student is assigned a unique roll number. A student is a debater if and only if the roll number is divisible by 5, whereas a student is a writer if and only if the roll number is divisible by 10. If roll numbers from 1 to 150 are assigned, then how many students are both debaters and writers?
Correct
Answer: (c)
Solution:
Given that,
A student is a debater if the number is divisible by 5.
A student is a writer if the number is divisible by 10.Now,
A student who is both a debater and a writer must have a roll number divisible by
LCM of 5 and 10 = 10Number of multiples of 10 from 1 to 150:
150 ÷ 10 = 15
Hence, option (c) is correct.
Incorrect
Answer: (c)
Solution:
Given that,
A student is a debater if the number is divisible by 5.
A student is a writer if the number is divisible by 10.Now,
A student who is both a debater and a writer must have a roll number divisible by
LCM of 5 and 10 = 10Number of multiples of 10 from 1 to 150:
150 ÷ 10 = 15
Hence, option (c) is correct.
-
Question 4 of 5
4. Question
A research team predicts that the population of bacteria in a laboratory dish triples every 6 hours. The initial population is 200 bacteria.
If P represents the population after t hours, which of the following equations represents the population over time?Correct
Answer: (c)
Solution:
Given that,
The population triples every 6 hours.
Initial population = 200.Now,
For exponential growth, the general form is:
P = Initial population × (growth factor)^(time / period)
Here,
Growth factor = 3
Period = 6 hoursSo,
P = 200 × 3^(t/6)
Hence, option (c) is correct.
Incorrect
Answer: (c)
Solution:
Given that,
The population triples every 6 hours.
Initial population = 200.Now,
For exponential growth, the general form is:
P = Initial population × (growth factor)^(time / period)
Here,
Growth factor = 3
Period = 6 hoursSo,
P = 200 × 3^(t/6)
Hence, option (c) is correct.
-
Question 5 of 5
5. Question
Using the digits 1, 3, 3, 7, 7, how many distinct 5-digit numbers greater than 70000 can be formed?
Correct
Answer: (d)
Solution:
Given that,
Digits are 1, 3, 3, 7 and 7.
To form a number greater than 70000, the first digit must be 7.
Fix first digit as 7.
Remaining digits: 1, 3, 3, 7
Number of distinct arrangements
= 4! / 2!
= 12Hence, option (d) is correct.
Incorrect
Answer: (d)
Solution:
Given that,
Digits are 1, 3, 3, 7 and 7.
To form a number greater than 70000, the first digit must be 7.
Fix first digit as 7.
Remaining digits: 1, 3, 3, 7
Number of distinct arrangements
= 4! / 2!
= 12Hence, option (d) is correct.
