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# General mental-ability-mathematical-operations

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General mental ability, mathematical operations

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### General mental-ability-mathematical-operations

1. 1. Click Here to Join Online Coaching Click Here www.upscportal.com General Mental Ability
2. 2. www.upscportal.com Click Here to Join Online Coaching Click Here The basic approach for the problems of this type is more or less similar to that of coding and decoding. One has to study the symbols or the geometrical figures and their meanings carefully. Then, the meanings are to be used in place of those symbols in answering the questions. The questions can be categorised into two types Symbols and Notations Symbols for these types of questions stand for mathematical operations like +, –, ×, ÷, > , <, = and #. So, the students must replace the symbols by mathematical operations and apply the BODMAS’ rule to find the value of the given expression. Other symbols which can be used are DÑ, *, @, \$, etc, with proper definitions. Some examples are given below Mathematical Operations
3. 3. www.upscportal.com Click Here to Join Online Coaching Click Here Example 1: If „+‟ means „–‟, „–‟ means „×‟, „×‟ means and „means‟ „÷‟, and „÷‟ mean „+‟ then 15 × 3 ÷ 15 + 5 – 2 = ? (a) 0 (b) 10 (c) 20 (d) 6 Solution. (b) 15 × 3 = 15 + 5 – 2 after changing the signs = 15 = 3 + 15 – 5 × 2 = 5 + 15 – 10 =10 Example 2: If 2 * 3 = 12, 3 * 4 = 20 and 4 * 5 = 30, then 2 * 6 is (a) 18 (b) 12 (c) 21 (d) None of these Solution. (c) The numbers on both sides of * are increased by one and then multiplied to get the answer. 2*6 = 3 × 7 = 21 Example 3: If x \$ y = (x + y + xy –1) (x + y + xy + 1), then the value of (4 \$ 10) is. (a) 2915 (b) 2195 (c) 2951 (d) 2955 Solution. (a) As per the definition of \$, (4\$10) would be (4 + 10 + 4 × 10 - 1) (4 + 10 + 4 × 10 + 1) = 2915. So, answer is (a)
4. 4. www.upscportal.com Click Here to Join Online Coaching Click Here Example 4: If* means “is greater than”, @ means `is less then‟; and \$ means “is equal to” and if a \$ b and b @ c, then (a) c * b (b) b * c (c) c * a (d) Both (a) and (c) Solution. (d) Replace the symbols with the meaning given against them. If a \$ b and b @ c would become a = b and b < c, then c > b or c > a ie, c * b, c * a are true from the given options. Geometrical Figures These figures will be divided and subdivided into a number of parts, each part is filled with a number or a letter except one part. The numbers or the letters in the figures follow certain pattern. The objective is to identify the pattern and find the missing number or letter. The problems based on geometrical figures are of various types. Type 1 Based on circles: In these type of, three circles with numbers outside the circle will be given. In the first two circles, the number inside the circle is written according to a particular pattern. The objective of the student is to find the missing number of third circle.