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
In a town, 80% of the population are adults of which the men and women are in the ratio of 9:7, respectively. If the number of adults women is 4.2 lakh, what is the total population of the town?
Correct
Answer : a
Let the Number of adults men be = x
Then, ratio of the numbers of adults men and women :
9:7 = x : 4.2
X = 9/7*4.2
X = 5.4 lakh
Total adult population = 4.2 + 5.4 = 9.6 lakh
If the population of the town be y lakh, then 80y/100 = 9.6
Y =96*100/80 = 12 lakh
Incorrect
Answer : a
Let the Number of adults men be = x
Then, ratio of the numbers of adults men and women :
9:7 = x : 4.2
X = 9/7*4.2
X = 5.4 lakh
Total adult population = 4.2 + 5.4 = 9.6 lakh
If the population of the town be y lakh, then 80y/100 = 9.6
Y =96*100/80 = 12 lakh
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Question 2 of 5
2. Question
Rs. 600 are divided among A, B and C such that Rs. 40 more than 2/5th of A’s share, Rs. 20 more than 2/7th of B’s share and rs10 more than 9/17th Of C’sshare , all are equal. What is B’s share?
Correct
Answer : c
Now According to Question : 2/5 A + 40 = 7/2B + 20 = 9/17 C + 10 = k
When 2/5A + 40 = k
A = 5/2 ( k – 40 )
2/7B + 20 = k
B =7/2 ( k – 20 )
9/17 c + 10 = k
C = 17/9 ( k – 10 )
According to the question : A + B + C = 600
5/2(k-40)+7/2(k-20)+17/9(k-10)=600
45 ( K – 40 ) + 63 ( K – 20 ) + 34 ( K – 10 ) = 10800
45K – 1800 + 63K – 1260 + 34K – 340 = 10800
142K – 3400 = 10800
142K = 14200
K = 14200/142 = 100
Incorrect
Answer : c
Now According to Question : 2/5 A + 40 = 7/2B + 20 = 9/17 C + 10 = k
When 2/5A + 40 = k
A = 5/2 ( k – 40 )
2/7B + 20 = k
B =7/2 ( k – 20 )
9/17 c + 10 = k
C = 17/9 ( k – 10 )
According to the question : A + B + C = 600
5/2(k-40)+7/2(k-20)+17/9(k-10)=600
45 ( K – 40 ) + 63 ( K – 20 ) + 34 ( K – 10 ) = 10800
45K – 1800 + 63K – 1260 + 34K – 340 = 10800
142K – 3400 = 10800
142K = 14200
K = 14200/142 = 100
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Question 3 of 5
3. Question
Salaries of Akash, Bablu and Chintu are in the ratio of 2:3:5. If their salaries were increased by 15%, 10% and 20% respectively, then what will be the new ratio of their salaries?
Correct
Answer : b
Ratio of salaries
Akash : Babloo : Chintu = 2:3:5
Let the common ratio be x.
Then, salaries of Akash, Babloo and Chintu
Will be 2x, 3x and 5x, respectively.
Now 15% increase in Akash’s salary
15% of 2x = 15*2x/100= 0.3x
So, New salary = 2x + 0.3x = 2.3x
Also, 10% increase in Babloo’s salary = 10% of 3x = 10*3x/100 = 0.3x
New salary =3x+0.3x=3.3x
Agin 20% increase in chintu’s salary
=20% of 5x
=20*5x/100=1x
So new salary = 5x + x =6x
So New ratio = Ratio of new salaries = 2.3x : 3.3x : 6x
On multiplying with 10 and dividing by x ratio will be 23:33:60.
Incorrect
Answer : b
Ratio of salaries
Akash : Babloo : Chintu = 2:3:5
Let the common ratio be x.
Then, salaries of Akash, Babloo and Chintu
Will be 2x, 3x and 5x, respectively.
Now 15% increase in Akash’s salary
15% of 2x = 15*2x/100= 0.3x
So, New salary = 2x + 0.3x = 2.3x
Also, 10% increase in Babloo’s salary = 10% of 3x = 10*3x/100 = 0.3x
New salary =3x+0.3x=3.3x
Agin 20% increase in chintu’s salary
=20% of 5x
=20*5x/100=1x
So new salary = 5x + x =6x
So New ratio = Ratio of new salaries = 2.3x : 3.3x : 6x
On multiplying with 10 and dividing by x ratio will be 23:33:60.
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Question 4 of 5
4. Question
Salary of Mr. X is 80% of the salary of Mr. Y and the salary of Mr. Z is 120% of the salary of Mr. X. What is the ratio between the salaries of X, Y and Z, respectively?
Correct
Answer : d
Let Y’s salary = 100
X’s salary = 80
And Z’s salary = 80*120/100 = 96
So Required ratio = 80 : 100 : 96 = 20 : 25 : 24
Incorrect
Answer : d
Let Y’s salary = 100
X’s salary = 80
And Z’s salary = 80*120/100 = 96
So Required ratio = 80 : 100 : 96 = 20 : 25 : 24
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Question 5 of 5
5. Question
Cat takes 5 leaps for every 4 leap of a dog but 3 leaps of the dog are equal to 4 leaps of the cat. What is the ratio of the speeds of the cat to that of the dog?
Correct
Answer: d
4 leaps of cat = 3 leaps of dog
1 leap of cat = 3/4 leap of dog
Cat takes 5 leaps for every 4 leaps of dog
So Required ratio = ( 5 x Cat’s leap ) : ( 4x Dog’s leap
= ( 5 x3/4 dog’s leap ) : ( 4 x Dog’s leap )
= 15 :16
Incorrect
Answer: d
4 leaps of cat = 3 leaps of dog
1 leap of cat = 3/4 leap of dog
Cat takes 5 leaps for every 4 leaps of dog
So Required ratio = ( 5 x Cat’s leap ) : ( 4x Dog’s leap
= ( 5 x3/4 dog’s leap ) : ( 4 x Dog’s leap )
= 15 :16
