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 age of 8 persons in a committee is increased by 2 years when two men aged 35 years and 45 years are substituted by two women. Find the average age of the two women.
Correct
Answer : a
Let the average age of 8 persons in the
committee be x years
Let the sum of ages of two women be y years.
Then sum of ages of 6 persons excluding two men aged 35 and 45 years
8x – (35 + 45) = 8x – 80
Again, x+2 = (8x-80+y)/8
8x + 16 = 8x – 80 +y
Y = 96
∴average age of two women = (96/2) = 48 years
Incorrect
Answer : a
Let the average age of 8 persons in the
committee be x years
Let the sum of ages of two women be y years.
Then sum of ages of 6 persons excluding two men aged 35 and 45 years
8x – (35 + 45) = 8x – 80
Again, x+2 = (8x-80+y)/8
8x + 16 = 8x – 80 +y
Y = 96
∴average age of two women = (96/2) = 48 years
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Question 2 of 5
2. Question
The speed of the train in going from Nagpur to Allahabad is 100 km/hr while when coming back from Allahabad to Nagpur, its speed is 150 km/hr. Find the average speed during the whole journey.
Correct
Answer : d
Let the distance between Allahabad and Nagpur be x km.
The average speed = 2x/ [(x/100) + (x/150)]
= (2 x 100x 150)/ 250 = 120 km/hr.
Note Average speed = (Total distance travelled)/ (Total time taken)
Incorrect
Answer : d
Let the distance between Allahabad and Nagpur be x km.
The average speed = 2x/ [(x/100) + (x/150)]
= (2 x 100x 150)/ 250 = 120 km/hr.
Note Average speed = (Total distance travelled)/ (Total time taken)
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Question 3 of 5
3. Question
The average weight of a class of 29 students is 40 kg. If the weight of the teacher be included, the average rises by 500 gm. What is the weight of the teacher?
Correct
Answer : d
Sum of weight of 29 students
= 40 x 29 = 1160 kg
Let the weight of the teacher be x kg, then
40 +0.5 = (1160 + x)/ 30
x = 40.5×30-1160 = 1215-1160
Incorrect
Answer : d
Sum of weight of 29 students
= 40 x 29 = 1160 kg
Let the weight of the teacher be x kg, then
40 +0.5 = (1160 + x)/ 30
x = 40.5×30-1160 = 1215-1160
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Question 4 of 5
4. Question
The average of 3 numbers is 17 and that of the first two is 16. Find the third number.
Correct
answer : d
Sum of 3 number = 3 x 17 = 51
sum of the first two members= 2 x 16 = 32
∴The third member = 51- 32 = 19
Incorrect
answer : d
Sum of 3 number = 3 x 17 = 51
sum of the first two members= 2 x 16 = 32
∴The third member = 51- 32 = 19
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Question 5 of 5
5. Question
The age of Mitali and Pooja is in the ratio 2:6. After 5 years, the ratio of their ages will become 6:8. Find the average of their ages after 10 years
Correct
Answer : a
Let the present age of Mitali and Pooja be 2x
and 6x years respectively.
After 5 years,( 2x + 5)/(6x + 5 ) = 6/8
16x + 40 = 36x + 30
20x = 10
\ x = ½
Hence Present ages 1 and 3 years.
After 10 years, their ages will be 11 and 13 years.
∴Average of their ages = (11+13)/2 = 12 years
Incorrect
Answer : a
Let the present age of Mitali and Pooja be 2x
and 6x years respectively.
After 5 years,( 2x + 5)/(6x + 5 ) = 6/8
16x + 40 = 36x + 30
20x = 10
\ x = ½
Hence Present ages 1 and 3 years.
After 10 years, their ages will be 11 and 13 years.
∴Average of their ages = (11+13)/2 = 12 years
