Insta–DART (Daily Aptitude and Reasoning Test) 2020 - 21
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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).
Wish you all the best ! 🙂
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Question 1 of 5
1. Question
The average of 10 numbers is 30. Later on, it was found that by mistake two items 15 and 23 were misread as 51 and 32. Find the correct average.
Correct
Answer: a) 25.5
Wrong total / 10 = Wrong average = 30
∴ Wrong total = 30 × 10 = 300
Correct total = Wrong total – 51 – 32 + 15 + 23
= 300 – 83 + 38
= 255
Correct average = 255 / 10 = 25.5
Incorrect
Answer: a) 25.5
Wrong total / 10 = Wrong average = 30
∴ Wrong total = 30 × 10 = 300
Correct total = Wrong total – 51 – 32 + 15 + 23
= 300 – 83 + 38
= 255
Correct average = 255 / 10 = 25.5
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Question 2 of 5
2. Question
A man earned ₹ 6,435, ₹ 6,927,rs6855, ₹ 7,230, and ₹ 6562 in 5 consecutive months. In order to have an average earning of ₹ 6500 how much should he earn in the 6th month?
Correct
Answer: a) ₹ 4,991
(Earnings in 5 months + Earning in 6th month) / 6 = ₹ 6,500
6,435 + 6,927 + 6,855 + 7,230 + 6,562 + 6th month earning = 6,500 × 6
34,009 + 6th month earning = 39,000
∴ 6th month earning = 39,000 – 34,009
= ₹ 4,991
Incorrect
Answer: a) ₹ 4,991
(Earnings in 5 months + Earning in 6th month) / 6 = ₹ 6,500
6,435 + 6,927 + 6,855 + 7,230 + 6,562 + 6th month earning = 6,500 × 6
34,009 + 6th month earning = 39,000
∴ 6th month earning = 39,000 – 34,009
= ₹ 4,991
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Question 3 of 5
3. Question
The average age of 30 soldiers is 25 years. In them, the average age of the first 15 soldiers is 24 years. And the average age of the last 14 soldiers is 26 years. What is the age of the 16th soldier?
Correct
Answer: c) 26 years
Total age of all 30 soldiers / 30 = 25 years
∴ Total age of all 30 soldiers = 25 × 30 = 750 – – – – – – – – – (I)
Total age of the first 15 soldiers / 15 = 24 years
∴ Total age of the first 15 soldiers = 24 × 15 = 360 – – – – – – – – – (II)
Total age of the last 14 soldiers / 14 = 26 years
∴ Total age of the last 14 soldiers = 26 × 14 = 364 – – – – – – – – – (II)
Equation I = Equation II + Equation III + the age of the 16th soldier
750 = 360 + 364 + 16th soldier’s age
The age of the 16th soldier = 750 – 724
= 26 years
Incorrect
Answer: c) 26 years
Total age of all 30 soldiers / 30 = 25 years
∴ Total age of all 30 soldiers = 25 × 30 = 750 – – – – – – – – – (I)
Total age of the first 15 soldiers / 15 = 24 years
∴ Total age of the first 15 soldiers = 24 × 15 = 360 – – – – – – – – – (II)
Total age of the last 14 soldiers / 14 = 26 years
∴ Total age of the last 14 soldiers = 26 × 14 = 364 – – – – – – – – – (II)
Equation I = Equation II + Equation III + the age of the 16th soldier
750 = 360 + 364 + 16th soldier’s age
The age of the 16th soldier = 750 – 724
= 26 years
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Question 4 of 5
4. Question
There are 25 students in a college. When a woman is replaced by a man with 72 kg, the average weight was increased by 1.2 kg. find the weight of the outgoing woman.
Correct
Answer: a) 42 kg
Let the average weight of 25 students be ‘x’ kg.
∴ Total weight of 25 students = 25x
(25x – Weight of outgoing woman + 72) / 25 = x + 1.2
25x + 72 – weight of outgoing woman = 25× (x + 1.2)
= 25x + 30
72 – Weight of outgoing woman = 30
∴ Weight of outgoing woman = 72 – 30 = 42 kg
Incorrect
Answer: a) 42 kg
Let the average weight of 25 students be ‘x’ kg.
∴ Total weight of 25 students = 25x
(25x – Weight of outgoing woman + 72) / 25 = x + 1.2
25x + 72 – weight of outgoing woman = 25× (x + 1.2)
= 25x + 30
72 – Weight of outgoing woman = 30
∴ Weight of outgoing woman = 72 – 30 = 42 kg
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Question 5 of 5
5. Question
A farmer sold 76 kg rice at ₹ 800/kg, 54 kg of rice at ₹ 900/kg and 20 kg of rice at ₹ 950/kg. What is the average price per kg of rice?
Correct
Answer: d) ₹ 856
₹ 800/kg × 76 = ₹ 60,800
₹ 900/kg × 54 = ₹ 48,600
₹ 950/kg × 20 = ₹ 19,000
150 kg ₹ 1,28,400
∴ Average price per kg of rice = ₹ 1,28,400 / 150 kg
= ₹ 856
Incorrect
Answer: d) ₹ 856
₹ 800/kg × 76 = ₹ 60,800
₹ 900/kg × 54 = ₹ 48,600
₹ 950/kg × 20 = ₹ 19,000
150 kg ₹ 1,28,400
∴ Average price per kg of rice = ₹ 1,28,400 / 150 kg
= ₹ 856
