Arrange the following numbers in ascending order.
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If a then a is
i) 122 ii) 0
iii) 16 4) iv) -16
Check whether (x +1) is a factor of the polynomial. x4 + x3 + x2 -5x +1.
Justify your answer
Perform the following steps listed below and check whether the answer is a multiple of 9?
Step-1 Choose a number between 100 and 1000
Step-2 Interchange its first and last digits to make another number
Step-3 Subtract the small number from the largest number
Step-4 Repeat step-2 for the number obtained in step-3
Step-5 Now add the numbers obtained in step-3 and step-4.
Try with some other starting number between 100 and 1000 and check whether the answer is a again a multiple of 9.
Verify the relationship V + E - F = 0 for the five regular polyhedra, where V is the number of vertices, E is the number of edges and F is the number of faces.
The annual income of Sohan (excluding HRA is Rs. 2,10,000. He contributes Rs. 4000 per month in his provident fund account and pays on annual insurance Premimum of Rs. 22000. Calculate the income tax including surcharge sohan has to pay in the last month of the year if his earlier deductions as income tax for the first 11 month were at the rate of Rs. 1800 per month. (2) Assuming the following while calculating income tax
a) Standard deduction: 1/3rd of the total annual income subject to a maximum of Rs. 20,000 (Rs. 25000 in case the annual income is less then Rupees one lakh).
b) Rates of income tax
Slab Income tax
i) upto 50,000 No tax
ii) From Rs. 50,001 to Rs. 60,000 10% of the amount exceeding Rs. 50,000
iii) From Rs. 60,001 to Rs. Rs. 1000+20% of the amount exceeding
Rs. 60,000
150,000
iv) From Rs. 150,001 & onwards Rs. 19,000+30% of the amount exceeding
Rs. 150,000
c) Rebate in tax 20% of the total savings subject to a
maximum of Rs. 12,000
d) Surcharge 10% of the total tax payable (after rebate)
A rectangle has the area equal to that of a square of side 80 cm. If the length of the rectangle is 160 cm, its breadth is
1) 60 cm 2) 40 cm
3) 20 cm 4) 30 cm
The following data have been arranged in ascending order
24, 27, 28, 31, 34, x, 37, 40, 42, 45.
If the median of the data is 34, find x