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 number of times the digit 5 will appear while writing the integers from 1 to 1000 is
Correct
Answer: c
Let the first and last digits of the Number be x and
Number of times 5 will come at the unit
Place = (5, 15, …………25, 95)*10
= 100
Number of times 5 will come to the tens place = ( 50, 51, ………. 58, 59 ) *10
= 100
Number of times 5 will come at the hundred place = ( 500, 501, 502………..598, 599)
= 100
Hence, Required Number = 100 * 3
= 300
Incorrect
Answer: c
Let the first and last digits of the Number be x and
Number of times 5 will come at the unit
Place = (5, 15, …………25, 95)*10
= 100
Number of times 5 will come to the tens place = ( 50, 51, ………. 58, 59 ) *10
= 100
Number of times 5 will come at the hundred place = ( 500, 501, 502………..598, 599)
= 100
Hence, Required Number = 100 * 3
= 300
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Question 2 of 5
2. Question
In a school every student is assigned a unique identification number. A student is a football player if and only if the identification number is divisible by 4, whereas a student is a cricketer if and only if the identification number is divisible by 6. If every number from 1 to 100 is assigned to a student, then how many of them play cricket as well as football?
Correct
Answer: b
The Number assigned to the students who play both cricket as well as football should be multiplies of both 4 and 6 which is Nothing but multiplies of 12
Hence, the required answer will be 8 as there are 8 multiplies of 12 in first 100 Natural Numbers.
Incorrect
Answer: b
The Number assigned to the students who play both cricket as well as football should be multiplies of both 4 and 6 which is Nothing but multiplies of 12
Hence, the required answer will be 8 as there are 8 multiplies of 12 in first 100 Natural Numbers.
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Question 3 of 5
3. Question
How many triplets (x, y, z) satisfy the equation x + y + z = 6, where x, y and z are natural numbers?
Correct
Answer: d
Possible triplets are :
( 1, 2, 3 ) ( 2, 3, 1 ) ( 1, 1, 4)
(1, 3, 2 ) ( 3, 1, 2 ) (1, 4, 1 ) (2, 2, 2)
(2, 1, 3 ) ( 3, 2, 1 ) ( 4, 1, 1 )
Hence required Number = 10
Incorrect
Answer: d
Possible triplets are :
( 1, 2, 3 ) ( 2, 3, 1 ) ( 1, 1, 4)
(1, 3, 2 ) ( 3, 1, 2 ) (1, 4, 1 ) (2, 2, 2)
(2, 1, 3 ) ( 3, 2, 1 ) ( 4, 1, 1 )
Hence required Number = 10
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Question 4 of 5
4. Question
An 8-digit number 4252746B leaves remainder 0 when divided by 3. How many values of B are possible?
Correct
Answer: c
Hence, B can take four values
= 0, 3, 6, and 9
Incorrect
Answer: c
Hence, B can take four values
= 0, 3, 6, and 9
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Question 5 of 5
5. Question
What is X in the sequence 132, 129, 124, 117, 106, 93, X ?
Correct
Answer: c
132 – 129 = 3
129 – 124 = 5
124 – 117 = 7
117 – 106 = 11
106 – 93 = 13
∴ 93 – x = 17
Hence x = 76
Incorrect
Answer: c
132 – 129 = 3
129 – 124 = 5
124 – 117 = 7
117 – 106 = 11
106 – 93 = 13
∴ 93 – x = 17
Hence x = 76
