Jamb Mathematics Past Questions For Year 1978
Question 6
The number of telephone calls N between two cities A and B varies directly as the population P\(_{A}\), P\(_B\) respectively and inversely as the square of the distance D between A and B. Which of the following equations represents this relation?
- A. N = \(\frac{kp_A}{D^2} + {cp_B}{D^2}\)
- B. N = \(\frac{k P_{A} P_{B} }{D^2}\)
- C. N = \(\frac{kD_AP_D}{B^2}\)
- D. N = \(\frac{kD^2_AP_D}{B}\)
Question 7
Find the square root of 170 - 20\(\sqrt{30}\)
- A. 2 \(\sqrt{10}\) - 5\(\sqrt{3}\)
- B. 2 \(\sqrt{5}\) - 5\(\sqrt{6}\)
- C. 5 \(\sqrt{10}\) - 2\(\sqrt{3}\)
- D. 3 \(\sqrt{5}\) - 8\(\sqrt{6}\)
Question 8
If x\(^2\) + 4 = 0, then x ?
- A. 4
- B. -4
- C. 2
- D. -2
- E. None of the above
Question 9
What is the number whose logarithm to base 10 is 2.3482?
- A. 223
- B. 2228
- C. 2.235
- D. 22.37
- E. 0.2229
Question 10
Five years ago, a father was 3 times as old as his son, now their combined ages amount to 110years. thus, the present age of the father is
- A. 75 years
- B. 60 years
- C. 98 years
- D. 80 years
- E. 105 years
