UPSC Insta–DART (Daily Aptitude and Reasoning Test) 10 Oct 2024
Kartavya Desk Staff
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 Suma invested Rs.80000 in two different parts one at the rate of 20% CI per annum and another one at the rate of 15% SI per annum. If he interchanges the rate of interest he got Rs.2875 less at the end of two years, and then find the difference of the two sums a) Rs.19910 b) Rs.20100 c) Rs.20000 d) Rs.21100 Correct Answer: Option (c) Explanation Let us take one part as x and another part as 80000-x Given, (44/100x+(80000-x)30/100)-(x32.25/100+(80000- x)40/100)=2875 14x+7.75x-940000=-287500 21.75x=652500 X=30000 Required difference = (80000-30000)-30000=20000 Incorrect Answer: Option (c) Explanation Let us take one part as x and another part as 80000-x Given, (44/100x+(80000-x)30/100)-(x32.25/100+(80000- x)40/100)=2875 14x+7.75x-940000=-287500 21.75x=652500 X=30000 Required difference = (80000-30000)-30000=20000
#### 1. Question
Suma invested Rs.80000 in two different parts one at the rate of 20% CI per annum and another one at the rate of 15% SI per annum. If he interchanges the rate of interest he got Rs.2875 less at the end of two years, and then find the difference of the two sums
• a) Rs.19910
• b) Rs.20100
• c) Rs.20000
• d) Rs.21100
Answer: Option (c)
Explanation
Let us take one part as x and another part as 80000-x
(44/100x+(80000-x)30/100)-(x*32.25/100+(80000-
x)*40/100)=2875
14x+7.75x-940000=-287500
21.75x=652500
Required difference = (80000-30000)-30000=20000
Answer: Option (c)
Explanation
Let us take one part as x and another part as 80000-x
(44/100x+(80000-x)30/100)-(x*32.25/100+(80000-
x)*40/100)=2875
14x+7.75x-940000=-287500
21.75x=652500
Required difference = (80000-30000)-30000=20000
• Question 2 of 5 2. Question A mother left a will of Rs.5 lakhs between his two daughters aged 10 and 15 such that they may get equal amounts when each of them reach the age of 21 years. The original amount of Rs.5 lakhs has been instructed to be invested at 10% p.a. simple interest. How much did the elder daughter get at the time of the will? a) Rs.2,04,797 b) Rs.3,05,890 c) Rs.1,90,00 d) Rs.4,00,700 Correct Answer: Option (a) Explanation Let Rs.x be the amount that the elder daughter got at the time of the will. Therefore, the younger daughter got (5,00,000 – x). The elder daughter’s money earns interest for (21 – 15) = 6 years @ 10% p.a simple interest The younger daughter’s money earns interest for (21 – 10) = 11 years @ 10% p.a simple interest. As the sum of money that each of the daughters get when they are 21 is the same, x + (610x/100)= (5,00,000 – x) +(1110[5,00,000- x]/100) 100x+60x = (5,00,000-x)+(55,000,000-110x) 160x =55,500,000-111x 271x = 55,500,000 X = 2,04,797 Incorrect Answer: Option (a) Explanation Let Rs.x be the amount that the elder daughter got at the time of the will. Therefore, the younger daughter got (5,00,000 – x). The elder daughter’s money earns interest for (21 – 15) = 6 years @ 10% p.a simple interest The younger daughter’s money earns interest for (21 – 10) = 11 years @ 10% p.a simple interest. As the sum of money that each of the daughters get when they are 21 is the same, x + (610x/100)= (5,00,000 – x) +(1110[5,00,000- x]/100) 100x+60x = (5,00,000-x)+(55,000,000-110x) 160x =55,500,000-111x 271x = 55,500,000 X = 2,04,797
#### 2. Question
A mother left a will of Rs.5 lakhs between his two daughters aged 10 and 15 such that they may get equal amounts when each of them reach the age of 21 years. The original amount of Rs.5 lakhs has been instructed to be invested at 10% p.a. simple interest. How much did the elder daughter get at the time of the will?
• a) Rs.2,04,797
• b) Rs.3,05,890
• c) Rs.1,90,00
• d) Rs.4,00,700
Answer: Option (a)
Explanation
Let Rs.x be the amount that the elder daughter got at the
time of the will. Therefore, the younger daughter got
(5,00,000 – x).
The elder daughter’s money earns interest for (21 – 15) =
6 years @ 10% p.a simple interest
The younger daughter’s money earns interest for (21 –
- 1.= 11 years @ 10% p.a simple interest.
As the sum of money that each of the daughters get when
they are 21 is the same,
x + (610x/100)= (5,00,000 – x) +(1110[5,00,000-
100x+60x = (5,00,000-x)+(55,000,000-110x)
160x =55,500,000-111x
271x = 55,500,000
X = 2,04,797
Answer: Option (a)
Explanation
Let Rs.x be the amount that the elder daughter got at the
time of the will. Therefore, the younger daughter got
(5,00,000 – x).
The elder daughter’s money earns interest for (21 – 15) =
6 years @ 10% p.a simple interest
The younger daughter’s money earns interest for (21 –
- 1.= 11 years @ 10% p.a simple interest.
As the sum of money that each of the daughters get when
they are 21 is the same,
x + (610x/100)= (5,00,000 – x) +(1110[5,00,000-
100x+60x = (5,00,000-x)+(55,000,000-110x)
160x =55,500,000-111x
271x = 55,500,000
X = 2,04,797
• Question 3 of 5 3. Question Karan invested Rs.2400 and Rs.3000, one at the rate of 10% SI per annum and another at x% SI per annum respectively. If he interchanges the rate of interest he got Rs.120 more at the end of two years, and then find the value of x a) 21% b) 20% c) 22% d) 19% Correct Answer: Option (b) Explanation (30002x/100+240020/100)- (300020/100+24002x/100)=120 (60x+480)-(600+48x)=120 12x=240=>x=20% Incorrect Answer: Option (b) Explanation (30002x/100+240020/100)- (300020/100+24002x/100)=120 (60x+480)-(600+48x)=120 12x=240=>x=20%
#### 3. Question
Karan invested Rs.2400 and Rs.3000, one at the rate of 10% SI per annum and another at x% SI per annum respectively. If he interchanges the rate of interest he got Rs.120 more at the end of two years, and then find the value of x
Answer: Option (b)
Explanation
(30002x/100+240020/100)-
(300020/100+24002x/100)=120
(60x+480)-(600+48x)=120
12x=240=>x=20%
Answer: Option (b)
Explanation
(30002x/100+240020/100)-
(300020/100+24002x/100)=120
(60x+480)-(600+48x)=120
12x=240=>x=20%
• Question 4 of 5 4. Question Ambika invested some amount in SI at the rate of x% per annum for 2 years and Mahima also invested some amount at the rate of 20% CI per annum for 3 years and he received total interest Rs.2275. Find the value of x if Mahima invested Rs.625 less than Ambika and interest received is Rs.25 more than Ambika. a) 28% b) 31% c) 29% d) 30% Correct Answer: Option (d) Explanation Let us take Mahima’s sum be y 2275=Y ((1+20/100)3-1) 2275125/91=Y =>Y=3125 Ambika’s investment and interest are 3750 and 2250 3750x2/100=2250 =>x=30% Incorrect Answer: Option (d) Explanation Let us take Mahima’s sum be y 2275=Y ((1+20/100)3-1) 2275125/91=Y =>Y=3125 Ambika’s investment and interest are 3750 and 2250 3750x2/100=2250 =>x=30%
#### 4. Question
Ambika invested some amount in SI at the rate of x% per annum for 2 years and Mahima also invested some amount at the rate of 20% CI per annum for 3 years and he received total interest Rs.2275. Find the value of x if Mahima invested Rs.625 less than Ambika and interest received is Rs.25 more than Ambika.
Answer: Option (d)
Explanation
Let us take Mahima’s sum be y
2275=Y ((1+20/100)3-1)
2275*125/91=Y
Ambika’s investment and interest are 3750 and 2250
3750x2/100=2250
=>x=30%
Answer: Option (d)
Explanation
Let us take Mahima’s sum be y
2275=Y ((1+20/100)3-1)
2275*125/91=Y
Ambika’s investment and interest are 3750 and 2250
3750x2/100=2250
=>x=30%
• Question 5 of 5 5. Question The difference between compound interest and simple interest on a sum for two years at 8% per annum, where the interest is compounded annually is Rs.16. if the interest were compounded half yearly , the difference in two interests would be nearly? a) Rs.24.64 b) Rs.25.85 c) Rs.17.80 d) Rs.16.80 Correct Answer: Option (a) Explanation For 1st year S.I =C.I. Thus, Rs.16 is the S.I. on S.I. for 1 year, which at 8% is thus Rs.200 i.e S.I on the principal for 1 year is Rs.200 Principle = Rs.10020081 = Rs.2500 Amount for 2 years, compounded half-yearly Rs.25001+41004=Rs.2924.4 C.I = Rs.424.64 Also, S.I=Rs.250082100=Rs.400 Hence, [(C.I) – (S.I)] = Rs. (424.64 – 400) = Rs.24.64 Incorrect Answer: Option (a) Explanation For 1st year S.I =C.I. Thus, Rs.16 is the S.I. on S.I. for 1 year, which at 8% is thus Rs.200 i.e S.I on the principal for 1 year is Rs.200 Principle = Rs.10020081 = Rs.2500 Amount for 2 years, compounded half-yearly Rs.25001+41004=Rs.2924.4 C.I = Rs.424.64 Also, S.I=Rs.250082100=Rs.400 Hence, [(C.I) – (S.I)] = Rs. (424.64 – 400) = Rs.24.64
#### 5. Question
The difference between compound interest and simple interest on a sum for two years at 8% per annum, where the interest is compounded annually is Rs.16. if the interest were compounded half yearly , the difference in two interests would be nearly?
• a) Rs.24.64
• b) Rs.25.85
• c) Rs.17.80
• d) Rs.16.80
Answer: Option (a)
Explanation
For 1st year S.I =C.I.
Thus, Rs.16 is the S.I. on S.I. for 1 year, which at 8% is
thus Rs.200
i.e S.I on the principal for 1 year is Rs.200
Principle = Rs.10020081 = Rs.2500
Amount for 2 years, compounded half-yearly
Rs.2500*1+41004=Rs.2924.4
C.I = Rs.424.64
Also, S.I=Rs.250082100=Rs.400
Hence, [(C.I) – (S.I)] = Rs. (424.64 – 400) = Rs.24.64
Answer: Option (a)
Explanation
For 1st year S.I =C.I.
Thus, Rs.16 is the S.I. on S.I. for 1 year, which at 8% is
thus Rs.200
i.e S.I on the principal for 1 year is Rs.200
Principle = Rs.10020081 = Rs.2500
Amount for 2 years, compounded half-yearly
Rs.2500*1+41004=Rs.2924.4
C.I = Rs.424.64
Also, S.I=Rs.250082100=Rs.400
Hence, [(C.I) – (S.I)] = Rs. (424.64 – 400) = Rs.24.64
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