Johnson's cash book showed a debit balance of Sh. 117,010 on 31 March 20X7. His bank statement showed a credit balance of Sh. 38,257 on the same date. A careful examination of the two records revealed that the difference was due to the following: 1. Bank charges amounting to Sh. 1,712. 2. The bank had paid Sh. 5,340 to Johnson's insurance company as per standing order. 3. David who was Johnson's tenant had paid rent Sh. 14,500 direct into Johnson's bank account. 4. Cheques from debtors for Sh. 43,275 deposited by Johnson on 29th March were returned unpaid but no entry had been made in the cash book to record the return. 5. Cheques totaling Sh. 149,088 deposited by Johnson on 30th March were credited by the bank on 2nd April, 2011. 6. Cheques totaling Sh. 134,402 issued by Johnson to his creditors did not appear on the bank statement. One of these cheques for Sh. 6,420 is dated 3rd September 2010. 7. A cheque for Sh. 8,240 issued by Peter another customer at the bank was credited on 1 April. 8. The cashier in totaling the cash book pages overstated the debit balance of the cash book by Sh. 20,000. Required: (a) Updated cash book or adjustment of the cash book balance. (b) A bank reconciliation statement as at 31 March 20X7, 1. In a survey of 260 college students, the following data were obtained: 64 had taken a mathematics course, 94 had taken a computer science course, 58 had taken a business course, 28 had taken both a mathematics and a business course, 26 had taken both a mathematics and a computer science course, 22 had taken both a computer science and a business course, and 14 had taken all three types. How many of these students had taken none of the three courses? 2. Write an explicit formula for the sequence 2, 5, 8, 11, 14, 17,.... 3. Write an English sentence corresponding to the following: 3x Vy R(x,y) 4. If pq is true, determine the truth value of (p and q) not q using the properties of logic (not a truth table). 5. Give the negation of the following statements: a) If you drive then I will walk b) Today is Monday and it is very hot today