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**OBJ**

**1-10: DABBABBBAD**

**11-20: CDBDCCCBBA**

**21-30: CDABDACCCC**

**31-40: BCBCABABBC**

**41-50: DACCCCDBDB**

WAEC English Questions and Answers 2022. WAEC Eng Expo for Theory & Objective (OBJ) PDF: verified & correct expo Solved Solutions, Nabteb Gce 2022. Maths answers . 2022 WAEC EXAM English Questions and Answers

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***SECTION A***

***_(Answer ALL QUESTIONS From This Section)_***

**(1a)**

**6^n+1*9^n*4^2n/18^n*2^n*12^2n**

**=(2*3)^n+1*(3*3)^n*(2*2)^2n/(2*3*3)^n*2^n*(2*2*3)^2n**

**=2^n+1*2^n+1*3^n*3^n*2^2n*2^2n/2^n*3^n*3^n*2^n*2^n*2^n*3^2n**

**= 2^n*2^1*2^n*2^1*3^n*3^n*2^n*2^n*2^n*2^n/2^n*3^n*3^n*2^n*2^n*2^n*2^n*2^n*3^n*3^n**

**= 2^6n*3^2n*2*2/2^6n*3^4n**

**= (2^6n / 2^6n) *(3^2n / 3^4n)*2*2**

**=2^6n - 6n * 3^2n - 4n * 4**

**= 2^0 * 3^-2n * 4**

**= 4*3^-2n**

**= 4 * 1/3^2n**

**= 4/3^2n**

**(1b)**

**Log 243/log 27**

**= log 3^5/log 3^3**

**= 5log3/3log3 = 5/3 = 1 whole no 2/3**

**============================================**

**(2a) **

**3t - 2p = 8×2 ...(I) **

**2t - 3p = 14×2...(II) **

**6t - 4p = 16 ...(III) **

**6t - 9p = 42 ...(IV) **

** 9P - 4P = -42 + 16**

** 5p = -26**

**P = -26/5 = -5 1/5**

**Put p = -26/5 into eqn (I) **

**3t - 2(-26/5) = 8**

**3t + 52/5 = 8**

**3t = 8 - 52/5**

**3t = 40 - 52/5 = -12/5**

**Divide both sides by 3**

**36/3 = -12/5 / 3**

**t = -12/5 × 1/3**

**= -12/15 = -4/5**

**(2b)**

**3/√3(2/√3 - √12/6)**

**2/√3 × 3/√3 - 3/√3 × √12/6**

**6/√9 - 3√12/6/√3**

**6/3 - 3√12/6√3**

**2 - √12/2√3**

**2 × 2√3 - √12/2√3**

**4√3 - (√4 × 3)/2√3**

**= 4√3 - 2√3/2√3**

**= 2√3/2√3 = 1**

**============================================**

**(3)**

**P(k) = 2/3**

**P(Y) = 5/8**

**P(I) = 3/4**

**P(k fail) = 1- 2/3 = 1/3**

**P(Y fail) 1 - 5/8 = 3/8**

**P(I fail) = 1 - 3/4 = 1/4**

**(a) 2/3*5/8*3/4 = 5/16**

**(b) 1/3*3/8*1/4 = 1/32**

**(c) 2/3*5/8*1*4 = 5/48**

**==============================================**

**(4)**

**Draw the triangle **

**<GFN = 180 - ( 68+90)**

**Sum of angles in a Δ**

**= 180 - 158 = 22 **

**
WAEC English Questions and Answers 2022. WAEC Eng Expo for Theory & Objective (OBJ) PDF: verified & correct expo Solved Solutions, Nabteb Gce 2022. Maths answers . 2022 WAEC EXAM English Questions and Answers
**

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