Question
According to the Budget 2023, which of the following
changes is/ are correct regarding “ Income tax” ? I. Rebate limit of Personal Income Tax to be increased to Rs . 7 lakh from the current Rs . 5 lakh in the new tax regime . II. The new tax regime was introduced in 2021 . III. According to the new tax regime the highest income tax rate is 30 %.Solution
Rebate limit of Personal Income Tax to be increased to Rs. 7 lakh from the current Rs. 5 lakh in the new tax regime. Thus, persons in the new tax regime, with income up to Rs. 7 lakh to not pay any tax. Tax structure in new personal income tax regime, introduced in 2020 with six income slabs, to change by reducing the number of slabs to five and increasing the tax exemption limit to Rs. 3 lakh. Change to provide major relief to all tax payers in the new regime.
Find ‘x’ if (x³+3x)/(3x²+1) = 189/61
If √e + (1/√e) = 10, then find the value of e + (1/e).
If 10x2 – 6xy+y² – 4x+4= 0, then find the value of (3x+2y).
If the sum of three numbers is zero, then which of the options below will always be equal to the value of the sum of the cubes of those numbers?
Simplify:
5x + 7y - [(10x + 4y) - (3x + 2y) + 5y] - 3xIf x + y + z = 30, x² + Y² + z² = 460 and x z = y², then find the value of x z?

if 2x +3y =7 and 2x+2 -3y+2 =7, then find the value of x and y.
If, ( a + b = 8 ) and ( a² + b² = 40 ), then find the value of (a³ + b³).