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UPSC Insta–DART (Daily Aptitude and Reasoning Test) 21 Nov 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 In a leap year, if January 1 falls on Tuesday, then how many months, including January, will start on Tuesday? (a) 5 (b) 4 (c) 3 (d) 2 Correct Answer: C Explanation: January (31 days) 1st of January= Tuesday Feb(29 Days) 31 days after, 1st February=31/7=3 = Friday March is of 31 days 29 days after, 1st March = 29/7 = 1 = Saturday April(30 days) After 31 days, 1st April=31/7=3=Tuesday May(31 days) After 30 days, 1st May=30/7=2=Thursday June(30 days) After 31 days, 1st June=31/7=3=Sunday July(31 days) After 30 days, 1st July=30/7=2=Tuesday August(31 days) After 31 days, 1st August=31/7=3=Friday September(30 days) After 31 days, 1st September=31/7=3=Monday Oct(31 days) After 30 days, 1st October=30/7=2=Wed November(30 days) After 31 days, 1st November=31/7=3=Saturday December(31 days) After 30 days, 1st December=30/7=2=Monday Hence, C is the correct answer. Incorrect Answer: C Explanation: January (31 days) 1st of January= Tuesday Feb(29 Days) 31 days after, 1st February=31/7=3 = Friday March is of 31 days 29 days after, 1st March = 29/7 = 1 = Saturday April(30 days) After 31 days, 1st April=31/7=3=Tuesday May(31 days) After 30 days, 1st May=30/7=2=Thursday June(30 days) After 31 days, 1st June=31/7=3=Sunday July(31 days) After 30 days, 1st July=30/7=2=Tuesday August(31 days) After 31 days, 1st August=31/7=3=Friday September(30 days) After 31 days, 1st September=31/7=3=Monday Oct(31 days) After 30 days, 1st October=30/7=2=Wed November(30 days) After 31 days, 1st November=31/7=3=Saturday December(31 days) After 30 days, 1st December=30/7=2=Monday Hence, C is the correct answer.

#### 1. Question

In a leap year, if January 1 falls on Tuesday, then how many months, including January, will start on Tuesday?

Explanation:

January (31 days) 1st of January= Tuesday

Feb(29 Days) 31 days after, 1st February=31/7=3 = Friday

March is of 31 days 29 days after, 1st March = 29/7 = 1 = Saturday

April(30 days) After 31 days, 1st April=31/7=3=Tuesday

May(31 days) After 30 days, 1st May=30/7=2=Thursday

June(30 days) After 31 days, 1st June=31/7=3=Sunday

July(31 days) After 30 days, 1st July=30/7=2=Tuesday

August(31 days) After 31 days, 1st August=31/7=3=Friday

September(30 days) After 31 days, 1st September=31/7=3=Monday

Oct(31 days) After 30 days, 1st October=30/7=2=Wed

November(30 days) After 31 days, 1st November=31/7=3=Saturday

December(31 days) After 30 days, 1st December=30/7=2=Monday Hence, C is the correct answer.

Explanation:

January (31 days) 1st of January= Tuesday

Feb(29 Days) 31 days after, 1st February=31/7=3 = Friday

March is of 31 days 29 days after, 1st March = 29/7 = 1 = Saturday

April(30 days) After 31 days, 1st April=31/7=3=Tuesday

May(31 days) After 30 days, 1st May=30/7=2=Thursday

June(30 days) After 31 days, 1st June=31/7=3=Sunday

July(31 days) After 30 days, 1st July=30/7=2=Tuesday

August(31 days) After 31 days, 1st August=31/7=3=Friday

September(30 days) After 31 days, 1st September=31/7=3=Monday

Oct(31 days) After 30 days, 1st October=30/7=2=Wed

November(30 days) After 31 days, 1st November=31/7=3=Saturday

December(31 days) After 30 days, 1st December=30/7=2=Monday Hence, C is the correct answer.

• Question 2 of 5 2. Question Prove that any date in March of a year is the same day of the week corresponding date in November that year. (a) Same day (b) Not same day (c) Next day (d) Previous day Correct Answer: A Solution: We will show that the number of odd days between last day of February and last day of October is zero. March April May June July Aug. Sept. Oct. 31+30+31+30+31+31+30+31 = 241 days = 35 weeks = 0 odd day Number of odd days during this period = 0 Thus, 1st March of an year will be the same day as 1st November of that year Incorrect Answer: A Solution: We will show that the number of odd days between last day of February and last day of October is zero. March April May June July Aug. Sept. Oct. 31+30+31+30+31+31+30+31 = 241 days = 35 weeks = 0 odd day Number of odd days during this period = 0 Thus, 1st March of an year will be the same day as 1st November of that year

#### 2. Question

Prove that any date in March of a year is the same day of the week corresponding date in November that year.

• (a) Same day

• (b) Not same day

• (c) Next day

• (d) Previous day

We will show that the number of odd days between last day of February and last day of October is zero.

March April May June July Aug. Sept. Oct.

31+30+31+30+31+31+30+31 = 241 days = 35 weeks = 0 odd day

Number of odd days during this period = 0

Thus, 1st March of an year will be the same day as 1st November of that year

We will show that the number of odd days between last day of February and last day of October is zero.

March April May June July Aug. Sept. Oct.

31+30+31+30+31+31+30+31 = 241 days = 35 weeks = 0 odd day

Number of odd days during this period = 0

Thus, 1st March of an year will be the same day as 1st November of that year

• Question 3 of 5 3. Question Which of the following month in a leap year has only one calendar? (a) January – October (b) January – July (c) March- July (d) January – April Correct Answer:D Explanation: Count the number of odd days from the month January onwards to get the sum equal to 0 odd day. January= 3 odd days, February= 1 odd day, March= 3 odd days. So, total number of odd days = 3 + 1 + 3 = 7 days= 0 odd day. So, the required months = January and April So, D is the correct answer. Incorrect Answer:D Explanation: Count the number of odd days from the month January onwards to get the sum equal to 0 odd day. January= 3 odd days, February= 1 odd day, March= 3 odd days. So, total number of odd days = 3 + 1 + 3 = 7 days= 0 odd day. So, the required months = January and April So, D is the correct answer.

#### 3. Question

Which of the following month in a leap year has only one calendar?

• (a) January – October

• (b) January – July

• (c) March- July

• (d) January – April

Explanation:

Count the number of odd days from the month January onwards to get the sum equal to 0 odd day.

January= 3 odd days,

February= 1 odd day,

March= 3 odd days.

So, total number of odd days = 3 + 1 + 3

= 7 days= 0 odd day.

So, the required months = January and April So, D is the correct answer.

Explanation:

Count the number of odd days from the month January onwards to get the sum equal to 0 odd day.

January= 3 odd days,

February= 1 odd day,

March= 3 odd days.

So, total number of odd days = 3 + 1 + 3

= 7 days= 0 odd day.

So, the required months = January and April So, D is the correct answer.

• Question 4 of 5 4. Question Amar was born on July 16. Raheem was born five days before that. If Independence Day falls on a Tuesday in that year, then on which day was Raheem born? (a) Friday (b) Monday (c) Tuesday (d) Wednesday Correct Answer: C Explanation: Amar was born on July 16. Raheem was born five days before that. so, Raheem was born on July 11. Independence Day (August 15) falls on a Tuesday that year. number of days between July 11 to August 15 (both dates inclusive)=21+15=36 36/7=1=remainder so, Raheen was born on Tuesday. So, C is the correct answer. Incorrect Answer: C Explanation: Amar was born on July 16. Raheem was born five days before that. so, Raheem was born on July 11. Independence Day (August 15) falls on a Tuesday that year. number of days between July 11 to August 15 (both dates inclusive)=21+15=36 36/7=1=remainder so, Raheen was born on Tuesday. So, C is the correct answer.

#### 4. Question

Amar was born on July 16. Raheem was born five days before that. If Independence Day falls on a Tuesday in that year, then on which day was Raheem born?

• (a) Friday

• (b) Monday

• (c) Tuesday

• (d) Wednesday

Explanation:

Amar was born on July 16. Raheem was born five days before that.

so, Raheem was born on July 11.

Independence Day (August 15) falls on a Tuesday that year.

number of days between July 11 to August 15 (both dates inclusive)=21+15=36

36/7=1=remainder

so, Raheen was born on Tuesday. So, C is the correct answer.

Explanation:

Amar was born on July 16. Raheem was born five days before that.

so, Raheem was born on July 11.

Independence Day (August 15) falls on a Tuesday that year.

number of days between July 11 to August 15 (both dates inclusive)=21+15=36

36/7=1=remainder

so, Raheen was born on Tuesday. So, C is the correct answer.

• Question 5 of 5 5. Question The seventh day of a month is three days earlier than Friday. The nineteenth of that month will be: (a) Sunday (b) Monday (c) Wednesday (d) Friday Correct Answer: A Explanation: Seventh day is three days earlier than Friday. It means 7th is Tuesday. So, 21st day, exactly 2 weeks after 7th is also a Tuesday. Hence, nineteenth is a Sunday. Incorrect Answer: A Explanation: Seventh day is three days earlier than Friday. It means 7th is Tuesday. So, 21st day, exactly 2 weeks after 7th is also a Tuesday. Hence, nineteenth is a Sunday.

#### 5. Question

The seventh day of a month is three days earlier than Friday. The nineteenth of that month will be:

• (a) Sunday

• (b) Monday

• (c) Wednesday

• (d) Friday

Explanation:

Seventh day is three days earlier than Friday. It means 7th is Tuesday.

So, 21st day, exactly 2 weeks after 7th is also a Tuesday. Hence, nineteenth is a Sunday.

Explanation:

Seventh day is three days earlier than Friday. It means 7th is Tuesday.

So, 21st day, exactly 2 weeks after 7th is also a Tuesday. Hence, nineteenth is a Sunday.

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