Paper 1  Objectives  47 Questions
JAMB Exam
Year: 1985
Level: SHS
Time:
Type: Question Paper
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#  Question  Ans 

1. 
If three numbers P, Q, R are in ratio 6 : 4 : 5, find the value of \(\frac{3p  q}{4q + r}\) A. \(\frac{3}{2}\) B. \(\frac{2}{3}\) C. 2 D. 3 E. 18
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Detailed SolutionP : Q : r = 6 : 4 : 55 = 6 + 4 + 5 = 15 P = \(\frac{6}{15}\), q = \(\frac{4}{15}\), r = \(\frac{5}{15}\) = \(\frac{1}{3}\) To find \(\frac{3p  q}{4q + r}\) 3p  q = 3 x \(\frac{6}{15}\)  \(\frac{4}{15}\) \(\frac{18}{15}\)  \(\frac{4}{15}\) = \(\frac{14}{15}\) ∴ 4q + r = 4 x \(\frac{4}{15}\) + \(\frac{5}{15}\) \(\frac{16}{15}\) = \(\frac{16}{15}\) + \(\frac{5}{15}\) = \(\frac{21}{15}\) \(\frac{14}{15}\) x \(\frac{15}{21}\) = \(\frac{14}{21}\) = \(\frac{2}{3}\) 

2. 
Arrange the following numbers in ascending order of magnitude \(\frac{6}{7}\), \(\frac{13}{15}\), 0.8650 A. \(\frac{6}{7}\) < 0.865 < \(\frac{13}{15}\) B. \(\frac{13}{15}\) < \(\frac{6}{7}\) < 0.865 C. \(\frac{6}{7}\) < \(\frac{13}{15}\) < 0.865 D. 0.865 < \(\frac{6}{7}\) < \(\frac{13}{15}\)
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Detailed Solution\(\frac{6}{7}\), \(\frac{13}{15}\), 0.8650In ascending order, we have 0.8571, 0.8650, 0.8666 i.e. \(\frac{6}{7}\) < 0.8650 < \(\frac{13}{15}\) 

3. 
A sum of money was invested at 8% per annum simple interest. If after 4 years the money amounts to N330.00. Find the amount originally invested A. N180.00 B. n165.00 C. N150.00 D. N250.00 E. N200.00
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Detailed SolutionS.I = \(\frac{PTR}{100}\)T = 4yrs, R = 8%, a = N330.00 330  P = \(\frac{PTR}{100}\), A = P + I i.e. A = P + \(\frac{PTR}{100}\) 330 = P + \(\frac{P(4) (8)}{100}\) 33000 = 32P + 100p 132P = 33000 P = N250.00 

4. 
In the equation below, Solve for x if all the numbers are in base 2: \(\frac{11}{x}\) = \(\frac{1000}{x + 101}\) A. 101 B. 11 C. 110 D. 111 E. 10
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Detailed Solution\(\frac{11}{x}\) = \(\frac{1000}{x + 101}\) = 11(x + 101)1000x = 11x + 1111 1000x  11x = 1111 101x = 1111 x = \(\frac{1111}{101}\) x = 11 

5. 
List all integers satisfying the inequality 2 \(\leq\) 2 x 6 < 4 A. 2, 3, 4, 5 B. 2, 3, 4 C. 2, 5 D. 3, 4, 5 E. 4, 5
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Detailed Solution2 \(\leq\) 2x  6 < 4 = 2x  6 < 4= 2x < 10 = x < 5 2x \(\geq\) 2 + 6 \(\geq\) = x \(\geq\) 2 ∴ 2 \(\leq\) x < 5 [2, 3, 4] 

6. 
Find correct to two decimals places 100 + \(\frac{1}{100}\) + \(\frac{3}{1000}\) + \(\frac{27}{10000}\) A. 100.02 B. 1000.02 C. 100.22 D. 100.01 E. 100.51
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Detailed Solution100 + \(\frac{1}{100}\) + \(\frac{3}{1000}\) + \(\frac{27}{10000}\)\(\frac{1000,000 + 100 + 30 + 27}{10000}\) = \(\frac{1,000.157}{10000}\) = 100.02 

7. 
John gives onethird of his money to Janet who has N105.00. He then finds that his money is reduced to onefourth of what Janet now has. Find how much money john has at first A. N45.00 B. N48.00 C. N52.00 D. N60.00 E. N52.00
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Detailed SolutionLet x be John's money, Janet already had N105, \(\frac{1}{3}\) of x was given to JanetJanet now has \(\frac{1}{3^2}\)x + 105 = \(\frac{x + 315}{3}\) John's money left = \(\frac{2}{3}\)x = \(\frac{\frac{1}{4}(x + 315)}{3}\) = \(\frac{2}{3}\) 24x = 3x + 945 ∴ x = 45 

8. 
Find x if log\(_9\)x = 1.5 A. 72.0 B. 27.0 C. 36.0 D. 3.5 E. 24.5
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Detailed SolutionIf log\(_9\)x = 1.5,9\(^1.5\) = x 9^\(\frac{3}{2}\) = x (√9)\(^3\) = 3 ∴ x = 27 

9. 
Write h in terms of a, b, c, d if a = \(\frac{b(1  ch)}{a  dh}\) A. h = \(\frac{a  b}{ad}\) B. h = \(\frac{1  b}{ad  bc}\) C. h = \(\frac{(a  b)^2}{ad  bc}\) D. h = \(\frac{a  b}{ad  bc}\) E. h = \(\frac{b  a}{ab  dc}\)
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Detailed Solutiona = \(\frac{b(1  ch)}{a  dh}\)a = \(\frac{b  bch}{1  dh}\) = a  adh = b  bch a  b = bch + adn a  b = adh a  b = h(ad  bc) h = \(\frac{a  b}{ad  bc}\) 

10. 
22\(\frac{1}{2}\)% of the Nigerian Naira is equal to 17\(\frac{1}{10}\)% of a foreign currency M. What is the conversion rate of the M to the Naira? A. 1M = 1\(\frac{15}{57}\)N B. 1M = 38\(\frac{1}{4}\)N C. 1M = 1\(\frac{18}{57}\)N D. 1M = 384\(\frac{3}{4}\)N
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Detailed SolutionN = 22\(\frac{1}{2}\)%, M = 17\(\frac{1}{10}\)%M = \(\frac{171}{10}\)%, N = \(\frac{45}{2}\) \(\frac{45}{2}\) x \(\frac{10}{171}\) = \(\frac{225}{171}\) = 1 \(\frac{54}{171}\) = 1 \(\frac{18}{57}\) 
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