Paper 1  Objectives  49 Questions
JAMB Exam
Year: 2010
Level: SHS
Time:
Type: Question Paper
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#  Question  Ans 

1. 
Evaluate \(\left(\frac{81}{16}\right)^{\frac{1}{4}}\times 2^{1}\) A. ^{1}/_{3} B. 3 C. 6 D. ^{1}/_{6}
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Detailed Solution\(\left(\frac{81}{16}\right)^{\frac{1}{4}}\times 2^{1}=\frac{1}{\left(\frac{81}{16}\right)^{\frac{1}{4}}}\times \frac{1}{2}\\=\left(\frac{16}{81}\right)^{\frac{1}{4}}\times \frac{1}{2}\\ =\left(\frac{2}{3}\right)^{4\times \frac{1}{4}}\\ =\frac{2}{3}\times \frac{1}{2}\\ =\frac{1}{3}\) There is an explanation video available below. 

2. 
Rationalize \(\frac{2\sqrt{3} + \sqrt{5}}{\sqrt{5}  \sqrt{3}}\) A. (3 √ 15 +11) / 2 B. 3 √ 15 11 C. (3 √ 15 11) / 2 D. 3 √ 15 +11
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Detailed Solution\(\frac{2\sqrt{3} + \sqrt{5}}{\sqrt{5}  \sqrt{3}}\)= \((\frac{2\sqrt{3} + \sqrt{5}}{\sqrt{5}  \sqrt{3}})(\frac{\sqrt{5} + \sqrt{3}}{\sqrt{5} + \sqrt{3}})\) = \(\frac{2\sqrt{15} + 6 + 5 + \sqrt{15}}{5  3}\) = \(\frac{3\sqrt{15} + 11}{2}\) There is an explanation video available below. 

3. 
Express the product of 0.21 and 0.34 in standard form A. 7.14 x 10^{3} B. 7.14 x 10^{2} C. 7.14 x 10^{1} D. 7.14 x 10^{4} 

4. 
In a survey of 50 newspaper readers, 40 read Champion and 30 read Guardian, how many read both papers? A. 10 B. 5 C. 15 D. 20
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Detailed SolutionLet C n G = Xn C only = 40  x n G only = 30  x 40  X + 30  X + X = 50 70  X = 50 X = 70  50 X = 20 There is an explanation video available below. 

5. 
Factorize completely \(\frac{x^{3} + 3x^{2}  10x}{2x^{2}  8}\) A. \(\frac{x(x5)}{2(x+2)}\) B. \(\frac{x(x5)}{2(x2)}\) C. \(\frac{x(x+5)}{2(x+2)}\) D. \(\frac{x^{2} + 4}{2x+4}\)
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Detailed Solution\(\frac{x^{3} + 3x^{2}  10x}{2x^{2}  8} = \frac{x(x^{2} + 3x  10)}{2(x^{2}  4)}\)= \(\frac{x(x^{2}  2x + 5x  10)}{2(x  2)(x + 2)}\) = \(\frac{x(x  2)(x + 5)}{2(x  2)(x + 2)}\) = \(\frac{x(x + 5)}{2(x + 2)}\) There is an explanation video available below. 

6. 
If y varies directly as the square root of x and y = 3 when x = 16. Calculate y when x = 64 A. 12 B. 6 C. 3 D. 5
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Detailed Solutiony ∝ √xy = K√x K = y/√x = 3/√16 = 3/4 y = 3/4√x = 3/4√64 when x = 64 = 3/4 x 8/1 = 6 There is an explanation video available below. 

7. 
If x * y = x + y2, find then value of (2*3)*5 A. 36 B. 25 C. 11 D. 55
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Detailed Solutionx * y = x + y22 * 3 = 2 + 32 = 2 + 9 = 11 (2 * 3) * 5 = 11 + 52 = 11 + 25 = 36 There is an explanation video available below. 

8. 
If p and q are two non zero numbers and 18(p+q) = (18+p)q, which of the following must be true? A. q = 18 B. p <1 C. p = 18 D. q < 1
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Detailed SolutionIf 18(p + q) = (18 + p)qthen 18p + 18q = 18q + pq 18p = pq \(\implies\) q = 18. There is an explanation video available below. 

9. 
If \(\begin{vmatrix} x & 3 \\ 2 & 7 \end{vmatrix} = 15\), find the value of x A. 3 B. 4 C. 5 D. 2
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Detailed Solution\(\begin{vmatrix} x & 3 \\ 2 & 7 \end{vmatrix} = 15\)x x 7  2 x 3 = 15 7x  6 = 15 7x = 15+6 7x = 21 x = 21/7 x = 3 There is an explanation video available below. 

10. 
From the diagram above, find x A. 65^{o} B. 50^{o} C. 75^{o} D. 55^{o}
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Detailed Solution∠RTS = 90o (∠ in semi circle)∠UTS = 25o (∠ in alternate segment) X + 90 + 25 = 180(sum of ∠s on a str line) X + 115 = 180 X = 180  115 X = 65o There is an explanation video available below. 
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