Question
Consider the following statements regarding the tax
collections in India- I.Advance tax collections in the first half of 2023-24 have increased to ₹5.54 lakh crore. II.Out of the total advance tax collected, corporate tax accounted for ₹2.80 lakh crore and personal income tax for ₹74,481 crore. III.The net tax collections accounted to  ₹8.63 lakh crore, up 23% year on year. Which of the following statements is/are correct ?Solution
Advance tax collections in the first half of 2023-24 have increased 20% year on year to ₹3.54 lakh crore.  Of the total advance tax collected in the first two quarters of the fiscal, corporate tax accounted for ₹2.80 lakh crore and personal income tax for ₹74,481 crore. Advance tax collections for the first quarter of 2023-24 stood at ₹1.16 lakh crore.    Gross tax collections till September this fiscal stood at ₹9.85 lakh crore. The government has issued ₹1.22 lakh crore as refunds so far this year. So, net tax collections stand at ₹8.63 lakh crore, up 23% year on year.
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 29x + 210 = 0
Equation 2: y² - 27y + 182 = 0
If a quadratic polynomial y = ax2 + bx + c intersects x axis at a and β, then
I. (x13/5 ÷7) = 5488 ÷ x7/5
II. (y2/3 × y2/3 ) ÷ √4 = (343y)1/3...
I. 8x² + 2x – 3 = 0
II. 6y² + 11y + 4 = 0
I. 3y2 + 16y + 16 = 0
II. 2x2 + 19x + 45 = 0
I. 6y2 - 17y + 12 = 0
II. 15x2 - 38x + 24 = 0
I. 6x² - 13 x + 6 = 0
II. 15 y² + 11 y - 12 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 26x + 168 = 0
Equation 2: y² - 23y + 132 = 0
I. 2x2 – 5x – 12 = 0
II. 2y2 + 13y + 20 = 0
I. 3x6- 19x3+16=0
II. 9y4- 27y2+20=0
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