[Mission 2022] Insta–DART (Daily Aptitude and Reasoning Test) 14 September 2021

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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

(x+y) : (x-y)=3:5 and xy = positive imply that

Correct

Ans: d

Given that, (x+y) : (x-y) = 3:5

(x+y)/(x-y) = 3/5

Applying componendo and dividend rule, we get

[(x+y)+(x-y)]/[(x+y)-(x-y)] = (3+5)/(3-5)

2x/2y = 8/-2

x/y = -4

∴x= -4y

But it is given, xy = Positive

∴-4yxy = Positive

-4y^{2} = Poitive, which is not possible.

Hence, no real solution for x and y exist.

Incorrect

Ans: d

Given that, (x+y) : (x-y) = 3:5

(x+y)/(x-y) = 3/5

Applying componendo and dividend rule, we get

[(x+y)+(x-y)]/[(x+y)-(x-y)] = (3+5)/(3-5)

2x/2y = 8/-2

x/y = -4

∴x= -4y

But it is given, xy = Positive

∴-4yxy = Positive

-4y^{2} = Poitive, which is not possible.

Hence, no real solution for x and y exist.

Question 2 of 5

2. Question

If A:B = 2:3, B:C = 5:7 and C:D = 3: 10, then what is A 😀 equal to?