SSC Math Solutions

Exercise 2.2: Sets and Functions 1. Which one is the set of factors of 8? 1) $\{8, 16, 24, \dots\}$…

Exercise 2.1: Sets and Functions 1. Express the following sets in the set builder notation: (1) $\{x \in \mathbb{N} :…

Exercise 3.4: Factorization 1. $3a^3 + 2a + 5$ Solution: Let, $f(a) = 3a^3 + 2a + 5$ $f(a)$ is…

Exercise 4.1: Exponents Simplify (1 – 8): 1. $\frac{7^3 \times 7^{-3}}{3 \times 3^{-4}}$ Solution: $\frac{7^3 \times 7^{-3}}{3 \times 3^{-4}}$ $=…

Exercise 13.1: Arithmetic Series 1. What is the number of terms in the series $13 + 20 + 27 +…

Exercise 4.2: Logarithms 1. Find the values: 1) $\log_3 81$ Solution: $\log_3 81$ $= \log_3 (3^4)$ $= 4 \log_3 3$$[\because…

Exercise 3.3: Factorization 1. $ab(x – y) – bc(x – y)$ Solution: $ab(x – y) – bc(x – y)$ $=…

Exercise 3.2: Algebraic Expressions (Cubes and Expressions Involving Cubes): 1. Find the cube with the help of formulae: (1)$2x^2 +…

Exercise 3.1: Algebraic Expressions (Squares and Expressions Involving Squares) 1. Find the square with the help of the formulae: 1)…

Exercise 9.2: Trigonometric Ratios of Specific Angles Solution: Given, $\cos\theta = \frac{1}{2}$ or, $\cos\theta = \cos 60^\circ$ or, $\theta =…