The question asks to identify the Indian male shuttler who secured a silver medal at the BWF World Championship in 2021. This requires knowledge of specific achievements in Indian badminton history.
C) Kidambi Srikanth became the first Indian man to win a silver medal at the BWF World Championship in 2021. He achieved this feat by reaching the final, where he ultimately lost to Singapore's Loh Kean Yew.
The given series is an alternating series, meaning it consists of two interleaved sub-series. We need to identify the pattern in each sub-series to find the missing term.
The pattern here is that the difference increases by 1 each time (2, 3, 4, 5).
The pattern here is also that the difference increases by 1 each time (1, 2, 3).
Following the pattern of differences (1, 2, 3), the next difference should be 4.
So, the missing term will be \(17 + 4 = 21\).
Correct Option: B) 21
To find the approximate value, we will round off each number to the nearest whole number before performing the calculations. This simplifies the arithmetic and allows for a quick estimation. We will follow the order of operations (BODMAS/PEMDAS).
The equation becomes:
\[ ? = 18 - 16 + 20 \times 8 \]The closest approximate value is 162.
Correct Option: C) 162
This is a direction sense problem. We need to trace Kavia's path step-by-step, noting her movements and turns, to determine her final position relative to her starting point. We can visualize this by drawing a diagram or by tracking her displacement along the North-South and East-West axes.
B) West. Based on the step-by-step analysis, Kavia ends up 3 km to the West of her starting point.
The question asks why the use of 'kulhads' (traditional clay cups) was discontinued. We need to evaluate the environmental and practical implications of their widespread use.
Correct Option: B) Use of clay resulted in the loss of the fertile top-soil
The primary reason for discontinuing the widespread use of kulhads was the environmental damage caused by the extraction of large quantities of fertile topsoil. Making millions of kulhads daily would deplete the topsoil, which is crucial for agriculture.
The problem requires us to find which two mathematical signs, when interchanged in the given equation, will make the equation mathematically correct. We will test each option by interchanging the specified signs and then evaluating the expression using the BODMAS/PEMDAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction).
The given equation is:
\[ 69 - 23 \div 15 \div 11 \times 12 = -144 \]If we interchange \(-\) and \(\div\), the equation becomes:
\[ 69 \div 23 - 15 \div 11 \times 12 \]Let's re-examine the original equation and the interchange. The equation is: \(69 - 23 \div 15 \div 11 \times 12 = -144\)
If we interchange \(-\) and \(\div\), the equation becomes:
\[ 69 \div 23 - 15 - 11 \times 12 \]Since \(-144 = -144\), this option makes the equation correct.
Interchange \(\times\) and \(-\):
\[ 69 \times 23 \div 15 \div 11 - 12 \]This is not \(-144\).
The original equation does not contain a \(+\) sign. Therefore, this interchange is not possible as stated.
The original equation does not contain a \(+\) sign. Therefore, this interchange is not possible as stated.
The question implies that the signs to be interchanged are present in the original equation. Options C and D introduce a sign that is not initially present, making them invalid choices based on the standard interpretation of such problems. Assuming the question implies interchanging two existing signs, only option A and B are valid to test.
Correct Option: A) − and ÷
When \(-\) and \(\div\) are interchanged, the equation becomes \(69 \div 23 - 15 - 11 \times 12\). Evaluating this expression:
Thus, \(-144 = -144\), which is correct.
The problem presents a series of number pairs and asks us to find the missing number in the last pair based on the relationship observed in the preceding pairs. We need to identify the pattern that connects the first number to the second number in each given pair.
Correct Option: C) 5
The following table shows the sales volume of three top-selling products – A, B and C – of NOM Ltd. over the years 2016–2020. Study the table and answer the question.
| Year | Quantity (in lakhs) | ||
| A | B | C | |
| 2016 | 342 | 357 | 370 |
| 2017 | 284 | 374 | 400 |
| 2018 | 315 | 386 | 315 |
| 2019 | 298 | 343 | 416 |
| 2020 | 252 | 322 | 290 |
What is the approximate average number of product C (in lakhs) sold during the years 2016–2020?
To find the approximate average number of product C sold during the years 2016-2020, we need to sum the sales quantities of product C for each year from 2016 to 2020 and then divide by the total number of years.
B) 358 — The calculated average sales of product C is \(358.2\) lakhs, which approximates to \(358\) lakhs.
The question involves simplifying a numerical expression containing division, subtraction, and decimal numbers. We need to follow the BODMAS rule, which states that division must be performed before subtraction. First, we will divide 0.413 by 0.00413, then subtract 74.27 and 25.72 to obtain the final answer.
Identify the given expression:
\[ [(0.413)\div(0.00413)]-74.27-25.72 \]We need to simplify this expression and find its value.
Apply the BODMAS rule:
According to the BODMAS rule, the division inside the brackets must be performed first, followed by subtraction from left to right.
\[ 0.413\div0.00413 \]Calculate the division:
Convert the division into a fraction:
\[ \frac{0.413}{0.00413} \]Multiplying both the numerator and denominator by 100000 to remove the decimal places:
\[ =\frac{41300}{413} \] \[ =100 \]Therefore:
\[ 0.413\div0.00413=100 \]Substitute the result into the original expression:
\[ 100-74.27-25.72 \]Perform the first subtraction:
\[ 100-74.27=25.73 \]The expression becomes:
\[ 25.73-25.72 \]Perform the final subtraction:
\[ 25.73-25.72=0.01 \]Therefore, the value of the given expression is 0.01.
Verify the result using an alternative method:
First, add the two numbers being subtracted:
\[ 74.27+25.72=99.99 \]Then subtract their sum from 100:
\[ 100-99.99=0.01 \]This confirms that the final answer is 0.01.
Correct Option: A) 0.01 — The division \(0.413\div0.00413\) gives 100. Subtracting 74.27 and 25.72 from 100 gives \(100-74.27-25.72=0.01\). Hence, Option A is the correct answer.
B) 0: This is incorrect because the sum of 74.27 and 25.72 is 99.99, not 100. Therefore, subtracting their sum from 100 gives 0.01 rather than 0.
C) 1: This is incorrect because the difference between 100 and 99.99 is 0.01, not 1. This answer could result from an error in decimal place calculations.
D) 0.1: This is incorrect because the final subtraction gives \(25.73-25.72=0.01\), not 0.1. The value 0.1 is ten times the correct result and could arise from misplacing the decimal point.
This question tests knowledge of common chemical names and their corresponding chemical formulas or common names. We need to identify which substance is chemically known as calcium sulphate hemihydrate.
Correct Option: B) Plaster of Paris is chemically known as calcium sulphate hemihydrate, with the formula \(\text{CaSO}_4 \cdot \frac{1}{2}\text{H}_2\text{O}\). It is produced by heating gypsum to about \(120^\circ\text{C}\).