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
A person walks 60 m Southward, then turns left and walks 40 m. He then takes a 225° turn clockwise. In which direction is he walking now?
Correct
Answer: (b)
Explanation:
The person initially walks towards South.
After turning left from South, he faces East.
Now he turns 225° clockwise.
A 225° turn means:
180° turn + 45° turn
From East, a 180° clockwise turn takes him towards West.
A further 45° clockwise turn takes him towards North-West.
Hence, the person is now walking towards North-West.
Incorrect
Answer: (b)
Explanation:
The person initially walks towards South.
After turning left from South, he faces East.
Now he turns 225° clockwise.
A 225° turn means:
180° turn + 45° turn
From East, a 180° clockwise turn takes him towards West.
A further 45° clockwise turn takes him towards North-West.
Hence, the person is now walking towards North-West.
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Question 2 of 5
2. Question
A person facing South travels 6 km straight and then turns left and travels 5 km. He then turns right and travels 2 km and finally turns right and travels 5 km. The minimum distance between the final point and the initial point, and the direction in which the person is facing at the final point are, respectively:
Correct
Answer: (c)
Explanation:
The person initially faces South.
He travels:
6 km South
5 km East
2 km South
5 km WestThe movements towards East and West cancel each other:
5 km East − 5 km West = 0
Total movement towards South:
6 km + 2 km = 8 km
After the final right turn, the person is facing West.
Hence, the minimum distance is 8 km, and the person is facing West.
Therefore, the correct answer is (c).
Incorrect
Answer: (c)
Explanation:
The person initially faces South.
He travels:
6 km South
5 km East
2 km South
5 km WestThe movements towards East and West cancel each other:
5 km East − 5 km West = 0
Total movement towards South:
6 km + 2 km = 8 km
After the final right turn, the person is facing West.
Hence, the minimum distance is 8 km, and the person is facing West.
Therefore, the correct answer is (c).
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Question 3 of 5
3. Question
The total cost of 6 bananas, 4 apples and 10 pears is twice the total cost of 2 bananas, 2 apples and 6 pears. Consider the following statements:
- The total cost of 3 bananas and 2 apples is equal to the total cost of 2 bananas, 2 apples and 1 pear.
- The cost of one apple is equal to the cost of one banana.
Which of the statements given above is/are correct?
Correct
Answer: (a)
Explanation:
Let the cost of one banana, one apple and one pear be B, A and P respectively.
Given:
6B + 4A + 10P = 2(2B + 2A + 6P)
6B + 4A + 10P = 4B + 4A + 12P
2B = 2P
B = P
So, the cost of one banana is equal to the cost of one pear.
Now check Statement 1.
Cost of 3 bananas and 2 apples:
3B + 2A
Cost of 2 bananas, 2 apples and 1 pear:
2B + 2A + P
Since B = P, both costs are equal.
So, Statement 1 is correct.
But we do not know whether the cost of one apple is equal to the cost of one banana.
So, Statement 2 is incorrect.
Hence, the correct answer is (a).
Incorrect
Answer: (a)
Explanation:
Let the cost of one banana, one apple and one pear be B, A and P respectively.
Given:
6B + 4A + 10P = 2(2B + 2A + 6P)
6B + 4A + 10P = 4B + 4A + 12P
2B = 2P
B = P
So, the cost of one banana is equal to the cost of one pear.
Now check Statement 1.
Cost of 3 bananas and 2 apples:
3B + 2A
Cost of 2 bananas, 2 apples and 1 pear:
2B + 2A + P
Since B = P, both costs are equal.
So, Statement 1 is correct.
But we do not know whether the cost of one apple is equal to the cost of one banana.
So, Statement 2 is incorrect.
Hence, the correct answer is (a).
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Question 4 of 5
4. Question
M’s salary is 10% lower than N’s salary, which is 20% lower than O’s salary. By what percent is O’s salary more than M’s salary?
Correct
Answer: (b)
Explanation:
Let O’s salary be ₹100.
N’s salary is 20% lower than O’s salary.
N’s salary:
₹100 − ₹20 = ₹80
M’s salary is 10% lower than N’s salary.
M’s salary:
₹80 − ₹8 = ₹72
Difference between O’s and M’s salaries:
₹100 − ₹72 = ₹28
Percentage by which O’s salary is more than M’s salary:
(28/72) × 100 = 38.89%
Hence, the correct answer is (b).
Incorrect
Answer: (b)
Explanation:
Let O’s salary be ₹100.
N’s salary is 20% lower than O’s salary.
N’s salary:
₹100 − ₹20 = ₹80
M’s salary is 10% lower than N’s salary.
M’s salary:
₹80 − ₹8 = ₹72
Difference between O’s and M’s salaries:
₹100 − ₹72 = ₹28
Percentage by which O’s salary is more than M’s salary:
(28/72) × 100 = 38.89%
Hence, the correct answer is (b).
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Question 5 of 5
5. Question
How many consecutive zeros are there at the end of the integer obtained in the product:
1³ × 2⁶ × 3⁹ × 4¹² × … × 15⁴⁵ ?
Correct
Answer: (c)
Explanation:
Count the factors of 5.
Terms containing factor 5 are:
5¹⁵, 10³⁰ and 15⁴⁵
Factors of 5 contributed:
5¹⁵ → 15
10³⁰ → 30
15⁴⁵ → 45Total:
15 + 30 + 45 = 90
Hence, the number of consecutive zeros is 90.
Therefore, the correct answer is (c).
Incorrect
Answer: (c)
Explanation:
Count the factors of 5.
Terms containing factor 5 are:
5¹⁵, 10³⁰ and 15⁴⁵
Factors of 5 contributed:
5¹⁵ → 15
10³⁰ → 30
15⁴⁵ → 45Total:
15 + 30 + 45 = 90
Hence, the number of consecutive zeros is 90.
Therefore, the correct answer is (c).
