Paper 1  Objectives  45 Questions
JAMB Exam
Year: 1997
Level: SHS
Time:
Type: Question Paper
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#  Question  Ans 

1. 
Evaluate 64.764\(^2\)  35.236\(^2\) correct to 3 significant figures A. 2960 B. 2950 C. 2860 D. 2850
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Detailed Solution(64.764  35.236)(64.764 + 35.236)= 29.528 x 100 = 2950 to 3 sig. fig. 

2. 
Find the value of (0.006)^{3} + (0.004)^{3} in standard form A. 2.8 x 10^{9} B. 2.8 x 10^{7} C. 2.8 x 10^{8} D. 2.8 x 10^{6}
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Detailed Solution(0.006)^{3} + (0.004)^{3} = 2.16 x 10^{7}(2.16 + 0.64) x 10^{7} = 2.8 x 10^{7} 

3. 
Given that log_{a}2 = 0.693 and log_{a}3 = 1.097, find log_{a} 13.5 A. 1.404 B. 1.790 C. 2.598 D. 2.790
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Detailed Solutionlog_{a} 13.5 = log_{a} \(\frac{27}{2}\)= 3log_{a} 3  log^{2}_{a} = 3 x 1.097  0.693 = 2.598 

4. 
If 8^{\(\frac{x}{2}\)} = (2^{\(\frac{3}{8}\)})(4\(\frac{3}{4}\)), find x A. \(\frac{3}{8}\) B. \(\frac{3}{4}\) C. \(\frac{4}{5}\) D. \(\frac{5}{4}\)
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Detailed Solution8^{\(\frac{x}{2}\)} = 2^{\(\frac{3}{8}\)}2^{2 x \(\frac{3}{4}\)} 2^{\(\frac{3x}{2}\)}= 2^{\(\frac{3}{4}\)} ^{\(\frac{3x}{2}\)} = \(\frac{15}{8}\) \(\frac{2 \times 15}{3 \times 8}\) = \(\frac{5}{4}\) 

5. 
Simplify \(\frac{2\sqrt{3} + 3\sqrt{5}}{3\sqrt{5}  2\sqrt{3}}\) A. \(\frac{19 + 4\sqrt{25}}{11}\) B. \(\frac{19 + 4\sqrt{15}}{11}\) C. \(\frac{19 + 2\sqrt{15}}{11}\) D. \(\frac{19 + 2\sqrt{15}}{19}\)
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Detailed Solution\(\frac{(2\sqrt{3} + 3\sqrt{5})(3\sqrt{5} + 2\sqrt{3})}{(3\sqrt{5}  2\sqrt{3})(3\sqrt{5}  2\sqrt{3})}\)= \(\frac{5 + 12\sqrt{15}}{33}\) =\(\frac{19 + 4\sqrt{15}}{11}\) 

6. 
Find the simple interest rate percent per annum at which N1,000 accumulates to N1,240 in 3 years A. 6% B. 8% C. 10% D. 12%
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Detailed Solution1 = \(\frac{PRT}{100}\)1 = 1240  1000 = 240 R = \(\frac{240 \times 100}{100 \times 3}\)% = 8% 

7. 
If U = (s, p, i, e, n, d, o, u, r), X = (s, p, e, n, d) Y = (s, e, n, o, u), Z = (p, n, o, u, r) find X ∩( Y ∪ Z) A. (p, o, u, r) B. (s, p, d, r) C. (s, p, n, e) D. (n, d, u)
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Detailed Solution\(Y \cup Z\) = \({s, e, n, o, u, p, r}\)\(X \cap (Y \cup Z)\) = \({p, e, n}\) 

8. 
A survey of 100 students in an institution shows that 80 students speak Hausa and 20 students speak Igbo, while only 9 students speak both language. How many students speak neither Hausa nor Igbo? A. 0 B. 9 C. 11 D. 20
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Detailed SolutionLet the number of students that speak Hausa and Igbo be represented by H and I respectively.n(H only) = 80  9 = 71. n(I only) = 20  9 = 11. n(neither H nor I) = 100  (71 + 9 + 11) = 100  91 = 9 students. 

9. 
If the function f(fx) = x^{3} + 2x^{2} + qx  6 is divisible by x + 1, find q A. 5 B. 2 C. 2 D. 5
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Detailed Solutionx + 1 = 0, x = 1; f(x) = x^{3} + 2x^{2} + qx  60 = 1 + 2  q  6 q = 5 
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