UPSC Insta–DART (Daily Aptitude and Reasoning Test) 29 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 Find the next number in the given series. 2, 4, 5, 13, 14, 49, 41, 193, __ (a) 185 (b) 122 (c) 194 (d) 169 Correct Solution: Option (b) Explanation: If we observe the given series, we find that it’s a combination of two series. So, the missing term = (41 × 3) – 1 = 123 – 1 = 122 Hence, option (b) is the correct answer. Incorrect Solution: Option (b) Explanation: If we observe the given series, we find that it’s a combination of two series. So, the missing term = (41 × 3) – 1 = 123 – 1 = 122 Hence, option (b) is the correct answer.
#### 1. Question
Find the next number in the given series.
2, 4, 5, 13, 14, 49, 41, 193, __
Solution: Option (b)
Explanation:
If we observe the given series, we find that it’s a combination of two series.
So, the missing term = (41 × 3) – 1 = 123 – 1 = 122
Hence, option (b) is the correct answer.
Solution: Option (b)
Explanation:
If we observe the given series, we find that it’s a combination of two series.
So, the missing term = (41 × 3) – 1 = 123 – 1 = 122
Hence, option (b) is the correct answer.
• Question 2 of 5 2. Question Consider the sequence given below: 7/12/91, 2/1/92, 28/1/92, 23/2/92, …. What is the next term of the series? (a) 22/3/92 (b) 29/3/92 (c) 20/3/92 (d) 19/3/92 Correct Answer: C Explanation: 7/12/91 is considered as 7th December 91 2/1/92 is considered as 2nd January 92 The difference between the above 2 dates is 25, 26th day as the next number. 28/1/92 add 26 days and 26th day is 23/2/92 92 is a leap year. it has 29 days in February. So, the next date must be 20/3/92. Hence option (c) is correct answer. Incorrect Answer: C Explanation: 7/12/91 is considered as 7th December 91 2/1/92 is considered as 2nd January 92 The difference between the above 2 dates is 25, 26th day as the next number. 28/1/92 add 26 days and 26th day is 23/2/92 92 is a leap year. it has 29 days in February. So, the next date must be 20/3/92. Hence option (c) is correct answer.
#### 2. Question
Consider the sequence given below:
7/12/91, 2/1/92, 28/1/92, 23/2/92, ….
What is the next term of the series?
• (a) 22/3/92
• (b) 29/3/92
• (c) 20/3/92
• (d) 19/3/92
Explanation:
7/12/91 is considered as 7th December 91
2/1/92 is considered as 2nd January 92
The difference between the above 2 dates is 25, 26th day as the next number.
28/1/92 add 26 days and 26th day is 23/2/92
92 is a leap year. it has 29 days in February.
So, the next date must be 20/3/92. Hence option (c) is correct answer.
Explanation:
7/12/91 is considered as 7th December 91
2/1/92 is considered as 2nd January 92
The difference between the above 2 dates is 25, 26th day as the next number.
28/1/92 add 26 days and 26th day is 23/2/92
92 is a leap year. it has 29 days in February.
So, the next date must be 20/3/92. Hence option (c) is correct answer.
• Question 3 of 5 3. Question A simple mathematical operation in each number of the sequence 5, 10, 26, 50, 121, 170, … results in a sequence with respect to prime numbers. Which one of the following is the next numbers in the sequence? (a) 289 (b) 290 (c) 361 (d) 362 Correct Answer: D Explanation: (Prime Number)2 + 1 = Sequence N 22 + 1 = 5 32 + 1 = 10 52 + 1 = 26 72 + 1 = 50 112 + 1 = 122 132 + 1 = 170 172 + 1 = 290 So, 192 + 1 = 362 Hence option (d) is correct answer. Incorrect Answer: D Explanation: (Prime Number)2 + 1 = Sequence N 22 + 1 = 5 32 + 1 = 10 52 + 1 = 26 72 + 1 = 50 112 + 1 = 122 132 + 1 = 170 172 + 1 = 290 So, 192 + 1 = 362 Hence option (d) is correct answer.
#### 3. Question
A simple mathematical operation in each number of the sequence 5, 10, 26, 50, 121, 170, … results in a sequence with respect to prime numbers. Which one of the following is the next numbers in the sequence?
Explanation:
(Prime Number)2 + 1 = Sequence N
22 + 1 = 5
32 + 1 = 10
52 + 1 = 26
72 + 1 = 50
112 + 1 = 122
132 + 1 = 170
172 + 1 = 290
So, 192 + 1 = 362 Hence option (d) is correct answer.
Explanation:
(Prime Number)2 + 1 = Sequence N
22 + 1 = 5
32 + 1 = 10
52 + 1 = 26
72 + 1 = 50
112 + 1 = 122
132 + 1 = 170
172 + 1 = 290
So, 192 + 1 = 362 Hence option (d) is correct answer.
• Question 4 of 5 4. Question What is value of X in the sequence 383 394 407 414 419 X (a) 429 (b) 446 (c) 452 (d) 438 Correct Answer: A Explanation: Series Pattern Given Series 383 383 383 + (8 + 3) = 394 394 394 + (9 + 4) = 407 407 407 + (0 + 7) = 414 414 414 + (1 + 4) = 419 419 419 + (1 + 9) = 429 429 Hence, option (a) is the correct answer. Incorrect Answer: A Explanation: Series Pattern Given Series 383 383 383 + (8 + 3) = 394 394 394 + (9 + 4) = 407 407 407 + (0 + 7) = 414 414 414 + (1 + 4) = 419 419 419 + (1 + 9) = 429 429 Hence, option (a) is the correct answer.
#### 4. Question
What is value of X in the sequence
383 394 407 414 419 X
Explanation:
Series Pattern Given Series
383 + (8 + 3) = 394 394
394 + (9 + 4) = 407 407
407 + (0 + 7) = 414 414
414 + (1 + 4) = 419 419
419 + (1 + 9) = 429 429 Hence, option (a) is the correct answer.
Explanation:
Series Pattern Given Series
383 + (8 + 3) = 394 394
394 + (9 + 4) = 407 407
407 + (0 + 7) = 414 414
414 + (1 + 4) = 419 419
419 + (1 + 9) = 429 429 Hence, option (a) is the correct answer.
• Question 5 of 5 5. Question Find the tenth term of the series 13, 8, 3, -2 …? (a) - 10 (b) -27 (c) -32 (d) – 37 Correct Answer: C Explanation: First term, a = 13 Common Difference, d = Second Term – First Term = 8 – 13 = -5 The nth term is given by the formula Tn = a +(n-1)d Tenth term, T10= a + (n-1) d = 13 + (10 -1) (-5) = 13 – 45 = – 32 Hence, option (c) is the correct answer. Incorrect Answer: C Explanation: First term, a = 13 Common Difference, d = Second Term – First Term = 8 – 13 = -5 The nth term is given by the formula Tn = a +(n-1)d Tenth term, T10= a + (n-1) d = 13 + (10 -1) (-5) = 13 – 45 = – 32 Hence, option (c) is the correct answer.
#### 5. Question
Find the tenth term of the series 13, 8, 3, -2 …?
Explanation:
First term, a = 13
Common Difference, d = Second Term – First Term = 8 – 13 = -5
The nth term is given by the formula Tn = a +(n-1)d
Tenth term, T10= a + (n-1) d = 13 + (10 -1) (-5) = 13 – 45 = – 32
Hence, option (c) is the correct answer.
Explanation:
First term, a = 13
Common Difference, d = Second Term – First Term = 8 – 13 = -5
The nth term is given by the formula Tn = a +(n-1)d
Tenth term, T10= a + (n-1) d = 13 + (10 -1) (-5) = 13 – 45 = – 32
Hence, option (c) is the correct answer.
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