Exercise 3.6 | Mathematics | Class 10 1. Solve the following pairs of linear equations by reducing them to a pair of linear equations: (i) \(\ \frac{1}{2x}+\frac{1}{3y}=2 \), \(\ \frac{1}{3x}+\frac{1}{2y}=\frac{…
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Exercise R4 | Class 10 | Mathematics | Revision Exercise
1. Find the value of- (a) \(\ 11^3 \) (b) \(\ 2\times10^3 \) (c) \(\ \left(\frac{1}{2}\right)^{-5} \) (d) \(\ (-4)^{-2} \) Solution: (a) \(\ 11^3 \) = 11×11×11 = 1331 (b) \(\…

Exercise R3 | Class 10 | Mathematics | Revision Exercise
1. Which of the following is not a perfect cube? (a) 3757 (b) 3375 (c) 3332 (d) 4096 Solution: (a) 3757 From prime factorisation, we have \(\ 3757 = 13×17^2 \) ⸫ 3757 i…

Exercise R2 | Class 10 | Mathematics | Revision Exercise
1. What will be the digits in the unit place of the squares of the following numbers? (i) 272 Ans. Since \(\ (2)^2 = 4 \) The digit in the unit place of the square of 272 will be 4. (ii) 79 …

Exercise R1 | Class 10 | Mathematics | Revision Exercise
1. Which of the following ratios are in proportion? (a) \(\ 12:21 \) and \(\ 32:56 \) (b) \(\ 18:30 \) and \(\ 14:21 \) (c) \(\ 22:33 \) and \(\ 33:24 \) (d) \(\ 24:28 \) and \(\ 20:25 \) Ans. (a)…