(i) `458+639=639+.......`
(ii) `864+2006=2006+......`
(iii) `1946+....... =984+1946`
(iv) `8063+0=........`
(v) `5350+(574+799)=574+(5350+.......)`

Solve the following and express the result to an appropriate number of significant figures: (i) Add 6.2g, 4.33g, and 17.456g. (ii) Subtract 63.54kg, from 187.2kg. (iii) 75.5 xx 125.2 xx 0.51. (iv) (2.13xx24.78)/(458.2) (v) (2.51xx10^(-4)xx1.81xx10^(7))/(0.4463)

Prove that: (i) 1+i^(2)+i^(4)+i^(6)=0 (ii) 1+i^(10)+i^(100)+i^(1000)=2 (iii) i^(104)+i^(109)+i^(114)+i^(119)=0 (iv) 6i^(54)+5i^(37)-2i^(11)+6i^(68)=7i (v) (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i^(580)+i^(578)+i^(576)+i^(574))=-1

Find the values of following expressions: i^(49)+i^(68)+i^(89)+i^(110) (ii) i^(30)+i^(80)+i^(120) (iii) i^+i^2+i^3+i^4 (iv) i^5+i^(10)+i^(15) (v) (i^(592)+i^(590)+i^(586)+i^(584))/(i^(582)+i^(580)+i^(576)+i^(574)) (vi) 1+i^2+i^4+i^6+i^8+doti^(20) (vii) (1+i)^6+(1-i)^3

Prepare Bank Reconciliation Statement from the following particular on 30th June,2006 Bank statement showd a favourable balance of ₹ 9,214 . (i) On 29th, June, 2006 bank credited a sum of ₹ 1,650 in error. (ii) Certain cheques valued at ₹ 4,500 issued befor 29th June, 2006 were not cleared. (iii) A hire purchase payment of ₹ 950 made by a standing order was not entered in the Cash Book. (iv) A cheque of ₹ 600 received, deposited and credited by bank, was accounted as a receipt in the cash Book (v) Other chequas for ₹ 8,500 were deposited in June but cheques for ₹ 6,000 only were cleared by the bankers.

Prepare Bank Reconciliation Statement from the following particular on 30th June,2006 Bank statement showd a favourable balance of ₹ 9,214 . (i) On 29th, June, 2006 bank credited a sum of ₹ 1,650 in error. (ii) Certain cheques valued at ₹ 4,500 issued befor 29th June, 2006 were not cleared. (iii) A hire purchase payment of ₹ 950 made by a standing order was not entered in the Cash Book. (iv) A cheque of ₹ 600 received, deposited and credited by bank, was accounted as a receipt in the cash Book (v) Other chequas for ₹ 8,500 were deposited in June but cheques for ₹ 6,000 only were cleared by the bankers.

For recruiting Agriculture Officers in an organisation, the following conditions apply. The candidate must. (i) be an agriculture graduate with at least 65% marks, (ii) clear the selection test with at least 50% marks, (iii) secure at least 45% marks in interview, (iv) be born on or after 1.11.1975 but not after 1.11.1984, (v) be willing to work in rural area. If the candidate satisfies all the above-mentioned conditions except (A) at (i) above, but has passed post graduation in agriculture, the case may be referred to the Vice- President. (B) at (iii) above, but has secured 60% or more marks in selection test and has secured at least 40% marks in interview, the case may be referred to the Chief General Manager. In each question below, detailed information of one candidate is provided. You have to read the information provided carefully and dedde which 'of the following courses of action you will adopt as regarding status of the candidate based on the conditions stated above. You are not to assume anything other than the information provided in each question. All these cases are given as on 1.11.2005. Study the information of candidate in each question and dedde the course of action. Sahil passed BSc. Agriculture in 2003 at the age of 21 years with 68% marks. He is doing post graduation in agriculture and will complete it in May 2006. He has secured 58% marks in selection test and has secured 50% marks in interview. He is willing to work in rural area.