The problem presents a number series, and we need to find the next term. We will analyze the differences between consecutive terms to identify a pattern.
The differences are \(2, 4, 6, 8\). This is an arithmetic progression where each subsequent difference increases by \(2\).
Following the pattern, the next difference should be \(8 + 2 = 10\).
To find the next term, subtract the predicted difference from the last known term:
\[ 962 - 10 = 952 \]Thus, the next number in the series is \(952\).
A) 952 is the correct answer because it follows the established pattern of decreasing by consecutive even numbers (2, 4, 6, 8, 10).
The question asks about the default behavior of the Enter key when typing within a text box in MS PowerPoint 2019. Understanding basic text editing functionalities in common software like PowerPoint is crucial for competitive exams.
Correct Option: C) The cursor moves to the next line within the same text box.
To solve this problem, we need to apply the given rules to each digit of the original number. First, identify even and odd digits. Then, modify them according to the rules: add 2 to even digits and subtract 3 from odd digits. Finally, find the greatest and smallest digits in the new number and calculate their sum.
A) 8 — As calculated, the sum of the greatest (8) and smallest (0) digits in the new number is 8.
To find the average of a series of natural numbers, we can use the formula for the average of an arithmetic progression. The natural numbers from 1 to 17 form an arithmetic progression where the first term is 1, the last term is 17, and the common difference is 1.
We are given the marked price, the percentage by which it is above the cost price, and the profit percentage. We need to find the discount percentage. We will first calculate the cost price (CP) and selling price (SP) using the given information, and then use these values along with the marked price (MP) to find the discount percentage.
D) 19.53% is the calculated discount percentage rounded to two decimal places.
The question asks to identify the phase and year range during which India experienced a steady population growth rate. This requires knowledge of the different phases of India's demographic transition.
B) Phase II: 1921-1951 — This period is known for a steady and moderate population growth rate due to declining mortality rates and persistently high birth rates.
This problem requires us to substitute the given symbols with their corresponding mathematical operations and then solve the resulting expression following the order of operations (BODMAS/PEMDAS).
The original equation is: \(43 \text{ D } 15 \text{ C } 7 \text{ B } 9 \text{ D } (28 \text{ A } 2) = ?\)
Substituting the operations, we get:
\[ 43 - 15 + 7 \times 9 - (28 \div 2) = ? \]BODMAS/PEMDAS stands for Brackets/Parentheses, Orders/Exponents, Division/Multiplication (from left to right), Addition/Subtraction (from left to right).
Correct Option: D) 77
The question asks to identify the Mauryan ruler who was instrumental in sending Buddhist missionaries to foreign countries. This is a direct factual recall question from ancient Indian history, specifically the Mauryan period.
Correct Option: B) Ashoka was a devout Buddhist after the Kalinga War and actively promoted the spread of Buddhism. He sent Buddhist missionaries, including his son Mahendra and daughter Sanghamitra, to various countries such as Sri Lanka, Southeast Asia, and Hellenistic kingdoms in the West (e.g., Syria, Egypt, Macedonia, Cyrene, Epirus).
This is a linear arrangement puzzle. We need to deduce the seating order of seven people (I, J, K, L, O, P, Q) based on the given clues and then identify the person at the rightmost end. All are facing North.
J _ _ _ _ _ _J _ _ _ _ K _J _ _ O _ K _J I L O _ K _J I L O _ K PJ I L O Q K PA) P — Based on the step-by-step deduction, P is at the 7th position, which is the rightmost end of the line.
To find the median of a dataset, we first need to arrange the data in ascending order. Then, we identify the middle value. If the number of data points is odd, the median is the single middle value. If the number of data points is even, the median is the average of the two middle values.
The given data set is: 34, 78, 58, 65, 64, 73, 21, 88, 13, 11, 70
Arranging these numbers from smallest to largest gives:
11, 13, 21, 34, 58, 64, 65, 70, 73, 78, 88
There are 11 numbers in the dataset. So, \(n = 11\).
Since \(n = 11\), which is an odd number, the median will be the single middle value.
For an odd number of data points, the position of the median is given by the formula:
\[ \text{Median position} = \frac{n + 1}{2} \]Substituting \(n = 11\):
\[ \text{Median position} = \frac{11 + 1}{2} = \frac{12}{2} = 6 \]So, the median is the 6th value in the ordered list.
Looking at the ordered list (11, 13, 21, 34, 58, 64, 65, 70, 73, 78, 88), the 6th value is 64.
Correct Option: A) 64