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Question 40: Given that \(113^{0.99} = x\), \(113^{0.77} = y\) and \(x^z = y^2\), then the value of z is

Question 39: Find the value of \((\sin A + \csc A)^2 + (\cos A + \sec A)^2 + (\csc^2 A

Question 38: Simplify: \(\frac{\frac{7}{2} \div \frac{3}{2} \times \frac{5}{2}}{8 \div \frac{5}{2} \text{ of } \frac{1}{2}} \div \frac{25}{8}\) Options : a) \(\frac{11}{24}\)

Question 37: If 4 kg of rice costing ₹40 per kg is mixed with 6 kg of rice costing ₹50

Question 36: Simplify: \((\sec A + \tan A)(1 – \sin A)\sec A\) Options : a) 2 b) 0.5 c) 1

Question 35: A cylinder of height 72 cm and base radius 16 cm is melted to form a sphere. Find

Question 34: A trader gains 72% by selling an article after two successive discounts of 50% and 14% on its

Question 33: A pipe can fill a cistern in 8 hours. Due to a leak at the bottom, it is

Question 32: A blue light blinks every 6 seconds and a red light blinks every 9 seconds. After how many

Question 31: A family earns ₹50,000 per month and spends ₹35,000. What percentage of the income is saved? Options :