21 - 30 of 62 Questions
# | Question | Ans |
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21. |
If A = (−3,5) and B = (4,−1) find the co-ordinate of the mid point A. 2, ½ B. ½ , 2 C. 1, ½ D. 0, 2 Detailed SolutionThe coordinate of the midpoint is \((\frac{-3 + 4}{2}, \frac{5 + (-1)}{2})\)= \((\frac{1}{2}, 2)\) There is an explanation video available below. |
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22. |
Find the simple interest on N325 in 5years at 3% per annum. A. N48.75K B. N50.10K C. N75.50K D. N15.75K |
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23. |
Simplify (0.09)2 and give your answer correct to 4 significant figures A. 0.81 B. 0.081 C. 0.0081 D. 8.0001 |
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24. |
Simplify \( [1 ÷ (x^2 + 3x + 2)] + [1 ÷ (x^2 + 5x + 6)] \) A. \( \frac{2}{(x + 1)^2} \) B. \( \frac{2}{(x + 1)(x + 2} \) C. \( \frac{2}{(x + 1)(x + 2} \) D. \( \frac{2}{(x + 1)(x + 3} \) |
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25. |
One bag contain 3 blue and 5 red balls, another bag contain 2 blue and 4 red balls respectively. One ball is drawn for each bag. What is the probability both balls are blue A. \( \frac{2}{15} \) B. \( \frac{3}{24} \) C. \( \frac{3}{21} \) D. \( \frac{3}{28} \) |
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26. |
Given that A = {3, 4, 1, 10, ⅓ } A. {} B. {⅓, 1, 2} C. {3, 4, ⅓} D. {1, 3, ⅓} |
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27. |
Find x if 132x = 70 eight. A. 5 B. 3 C. 6 D. 1 |
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28. |
A man sells his new brand car for N420,000 at a gain of 15%. What did it cost him? A. N410,000 B. N365, 217 C. N157, 250 D. N257,000 Detailed SolutionCost Price:Selling price = 100 : (100 + 15) = 100 : 115 Cost Price = 100 ÷ 115 of selling price (i.e N420,000) = 100 ÷ 115 × N420,000 = N365,217.4 ∴ Cost Price = N365, 217 There is an explanation video available below. |
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29. |
Find the value of x if \( [ 1 ÷ 64^{(x + 2)}]= [4^{(x − 3)} ÷ 16^x ] \) A. \( \frac{3}{2} \) B. \( \frac{2}{3} \) C. \( \frac{1}{3} \) D. \( -\frac{3}{2} \) |
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30. |
Solve x2 − 2x − 3 = 0 A. x = 2 or 1 B. x = 3 or -1 C. x = 1 or 0 D. x = 1 or 2 |
21. |
If A = (−3,5) and B = (4,−1) find the co-ordinate of the mid point A. 2, ½ B. ½ , 2 C. 1, ½ D. 0, 2 Detailed SolutionThe coordinate of the midpoint is \((\frac{-3 + 4}{2}, \frac{5 + (-1)}{2})\)= \((\frac{1}{2}, 2)\) There is an explanation video available below. |
|
22. |
Find the simple interest on N325 in 5years at 3% per annum. A. N48.75K B. N50.10K C. N75.50K D. N15.75K |
|
23. |
Simplify (0.09)2 and give your answer correct to 4 significant figures A. 0.81 B. 0.081 C. 0.0081 D. 8.0001 |
|
24. |
Simplify \( [1 ÷ (x^2 + 3x + 2)] + [1 ÷ (x^2 + 5x + 6)] \) A. \( \frac{2}{(x + 1)^2} \) B. \( \frac{2}{(x + 1)(x + 2} \) C. \( \frac{2}{(x + 1)(x + 2} \) D. \( \frac{2}{(x + 1)(x + 3} \) |
|
25. |
One bag contain 3 blue and 5 red balls, another bag contain 2 blue and 4 red balls respectively. One ball is drawn for each bag. What is the probability both balls are blue A. \( \frac{2}{15} \) B. \( \frac{3}{24} \) C. \( \frac{3}{21} \) D. \( \frac{3}{28} \) |
26. |
Given that A = {3, 4, 1, 10, ⅓ } A. {} B. {⅓, 1, 2} C. {3, 4, ⅓} D. {1, 3, ⅓} |
|
27. |
Find x if 132x = 70 eight. A. 5 B. 3 C. 6 D. 1 |
|
28. |
A man sells his new brand car for N420,000 at a gain of 15%. What did it cost him? A. N410,000 B. N365, 217 C. N157, 250 D. N257,000 Detailed SolutionCost Price:Selling price = 100 : (100 + 15) = 100 : 115 Cost Price = 100 ÷ 115 of selling price (i.e N420,000) = 100 ÷ 115 × N420,000 = N365,217.4 ∴ Cost Price = N365, 217 There is an explanation video available below. |
|
29. |
Find the value of x if \( [ 1 ÷ 64^{(x + 2)}]= [4^{(x − 3)} ÷ 16^x ] \) A. \( \frac{3}{2} \) B. \( \frac{2}{3} \) C. \( \frac{1}{3} \) D. \( -\frac{3}{2} \) |
|
30. |
Solve x2 − 2x − 3 = 0 A. x = 2 or 1 B. x = 3 or -1 C. x = 1 or 0 D. x = 1 or 2 |