The problem presents two sequences of numbers and states that a consistent set of mathematical operations transforms the numbers within each sequence. We need to identify these operations and then find an option that follows the same rules.
The question asks to identify the winners of the Balbir Singh Sr Award for Player of the Year 2025 in both men's and women's categories. This requires knowledge of recent sports awards, specifically in Indian hockey.
Correct Option: D) Harmanpreet Singh and Savita Punia were the winners of the Balbir Singh Sr Award for Player of the Year 2025 in the men's and women's categories, respectively.
The problem asks us to identify numbers in a given series that satisfy two conditions simultaneously: they must be immediately preceded by a symbol AND immediately followed by another number. We need to count how many such numbers exist in the series.
(Left) 6 @ 8 £ 5 @ $ 7 & 3 6 & # 9 # 1 * £ 5 (Right)
D) One
To find the difference between compound interest (CI) and simple interest (SI) for a given principal, rate, and time, we will calculate both CI and SI separately and then find their difference. Alternatively, for 2 years, there's a direct formula for the difference between CI and SI.
The formula for Simple Interest is:
\[ \text{SI} = \frac{P \times R \times T}{100} \]\[ \text{SI} = \frac{17700 \times 4 \times 2}{100} \]\[ \text{SI} = 177 \times 4 \times 2 \]\[ \text{SI} = 177 \times 8 \]\[ \text{SI} = \text{₹}1416 \]The formula for the Amount (A) with compound interest is:
\[ A = P \left(1 + \frac{R}{100}\right)^T \]\[ A = 17700 \left(1 + \frac{4}{100}\right)^2 \]\[ A = 17700 \left(1 + \frac{1}{25}\right)^2 \]\[ A = 17700 \left(\frac{26}{25}\right)^2 \]\[ A = 17700 \times \frac{26 \times 26}{25 \times 25} \]\[ A = 17700 \times \frac{676}{625} \]\[ A = \frac{11965200}{625} \]\[ A = \text{₹}19144.32 \]Then, Compound Interest \(\text{CI} = A - P\):\[ \text{CI} = 19144.32 - 17700 \]\[ \text{CI} = \text{₹}1444.32 \]For 2 years, the difference between CI and SI is given by the formula:
\[ \text{Difference} = P \left(\frac{R}{100}\right)^2 \]\[ \text{Difference} = 17700 \left(\frac{4}{100}\right)^2 \]\[ \text{Difference} = 17700 \left(\frac{1}{25}\right)^2 \]\[ \text{Difference} = 17700 \times \frac{1}{625} \]\[ \text{Difference} = \frac{17700}{625} \]\[ \text{Difference} = \text{₹}28.32 \]Correct Option: B) ₹28.32 is the calculated difference between the compound interest and simple interest.
This problem involves concepts of boats and streams. We need to find the speed of the stream given the distance covered and time taken both against and with the stream. We will use the formulas for upstream and downstream speeds, and then solve for the speed of the stream.
Correct Option: D) 5.75 km/hr
The problem asks us to identify symbols that are immediately preceded by a number and immediately followed by another number in the given series. We need to scan the series from left to right and apply this condition to each symbol.
C) Six is the correct answer because there are six symbols (&, $, &, Ω, #, *) that satisfy the condition of being immediately preceded by a number and immediately followed by another number.
A group of numbers/symbols is coded using letter codes as per the codes given below and the conditions that follow. If none of the conditions apply, then codes for the respective number/symbol to be followed directly as given in the table.
| Number/Symbol | 3 | 9 | 7 | & | 2 | @ | 5 | % | 1 | 8 | Δ | 4 | 6 |
| Code | L | C | Z | M | D | W | A | P | R | T | F | B | K |
Conditions:
(i) If the first element is a symbol and the last a number, the codes for these two (the first and the last elements) are to be interchanged.
(ii) If the first element is an odd number and the last an even number, the first and last elements are to be coded as ©.
(iii) If both the second and third elements are perfect squares, the third element is to be coded as the code for the second element.
What will be the code for the following group?
@ 9 7 8 3
The problem requires us to decode a given group of numbers/symbols based on a provided coding table and a set of conditions. We need to apply the conditions in the given order and then use the direct codes if no conditions apply or after conditions are applied.
A) L C Z T W is the correct code derived after applying the conditions.
The question asks about the number of recognized styles of Vedic recitation (Pathas). This is a factual question related to ancient Indian traditions and Vedic studies. Knowledge of the different methods of preserving Vedic texts is key.
Correct Option: B) Eleven
The question asks about the primary factors defining the India-Bhutan boundary. This requires knowledge of the geographical and historical context of the border between these two countries.
D) Mountains and treaties — The India-Bhutan border is largely defined by the natural barrier of the Himalayan mountains. Furthermore, the boundary's legal and political status is formalized through various treaties between the two nations, most notably the 1949 Treaty of Friendship, which was updated in 2007, reaffirming the close ties and the defined border.