The digits of a two-digit number differ by 5. If you interchange the digits, the sum of the resulting number and the original number is 99. Then the original number is
i) 43 ii) 45
iii) 36 iv) 27
ii) 45
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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)
Using the result C(n, r) + C(n, r -1) = C(n +1, r), computeC(8,5) +C(8,4) .
A page from the pass book of Rakesh is given below:
| Date | Particular | Amount Withdrawn | Amount Deposited | Balance Rs. |
| 09-04-2007 | B/F | ……….. | ……….. | 6100.00 |
| 17-04-2007 | By cash | ……….. | 1900.00 | 8000.00 |
| 22-04-2007 | By cash | 3000.00 | ……….. | 5000.00 |
| 21-05-2007 | By cheque | ……….. | 6000.00 | 11000.00 |
| 06-07-2007 | By cash | 2000.00 | ……….. | 9000.00 |
| 05-08-2007 | By cash | 1000.00 | ……….. | 8000.00 |
| 18-08-2007 | By cash | ……….. | 4000.00 | 12000.00 |
| 11-10-2007 | By cash | ……….. | 2000.00 | 14000.00 |
| 18-12-2007 | By cash | ……….. | 1000.00 | 15000.00 |
Which one of the following is not a postulate for geometry?
1) For any two points there is exactly one line that contains them.
2) For any three non-collinear points there is exactly one plane that contains them.
3) For every pair of parallel lines there is exactly one plane that contains them.
4) For every pair of points there is a unique positive number which is the distance between them.
The daily milk consumption of a family is L. The quantity of milk consumed by the family in the month of April 2017 is
i) 90L ii)
iii) iv) 98L
If each entry of data is increased by 5, then the arithmetic mean
i) remains the same ii) increases by 5
iii) is multiplied by 5 iv) decreases by 5
Draw the coordinate axes and represent the following points
i) (-2,4) ii) (1,3)
iii) (5,-3) iv) (-5,-4)