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
Find the last two-digits of 15 × 37 × 63 × 51 × 97 × 17.
Correct
Answer : a
15 × 37 × 63 × 51 × 97 × 17
= 255 × 37 × 63 × 51 × 97
= 35 × 21 (last two digits)
= 735 = 35 (last two digits)
Hence, last two digits of the product is 35
Incorrect
Answer : a
15 × 37 × 63 × 51 × 97 × 17
= 255 × 37 × 63 × 51 × 97
= 35 × 21 (last two digits)
= 735 = 35 (last two digits)
Hence, last two digits of the product is 35
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Question 2 of 5
2. Question
How many rational numbers are there between 1 and 1000?
Correct
Answer : d
There can be infinite number of rational numbers between 1 and 1000.
Incorrect
Answer : d
There can be infinite number of rational numbers between 1 and 1000.
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Question 3 of 5
3. Question
The product of four consecutive natural numbers plus one is
Correct
Answer : c
Product of four consecutive numbers plus one is always a square.
Illustration 1 Let four consecutive numbers be 3, 4, 5 and 6.
= (3 × 4 × 5 × 6) + 1 = 361 = (19) 2
Illustration 2 Let four consecutive numbers be 9, 10, 11 and 12.
= (9 × 10 × 11 × 12) + 1 = 11881 = (109) 2
Incorrect
Answer : c
Product of four consecutive numbers plus one is always a square.
Illustration 1 Let four consecutive numbers be 3, 4, 5 and 6.
= (3 × 4 × 5 × 6) + 1 = 361 = (19) 2
Illustration 2 Let four consecutive numbers be 9, 10, 11 and 12.
= (9 × 10 × 11 × 12) + 1 = 11881 = (109) 2
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Question 4 of 5
4. Question
Find the unit digit in the product of (268 × 539 × 826 × 102).
Correct
Answer : c
Product of unit digits = 8 × 9 × 6 × 2 = 864
Therefore, Required digit = 4
Incorrect
Answer : c
Product of unit digits = 8 × 9 × 6 × 2 = 864
Therefore, Required digit = 4
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Question 5 of 5
5. Question
2, 10, 42, 170, ?, 2730, 10922
Correct
Answer : d
Therefore, Missing term = 682
Incorrect
Answer : d
Therefore, Missing term = 682
