Mathematics (Core), 2017, JAMB Exam, Exam, Paper 1 | Objectives

Paper Info

Year :

2017

Title :

Mathematics (Core)

Exam :

JAMB Exam

Paper 1 | Objectives

31 - 40 of 45 Questions

#	Question	Ans
31.	In how many ways can the word MACICITA be arranged? A. \(\frac{8!}{2!}\) B. \(\frac{8!}{3! 2!}\) C. \(\frac{8!}{2! 2! 2!}\) D. 8! Show Content Detailed Solution There is an explanation video available below.	C
32.	Y is inversely proportional to x and y is 6 when x = 7. Find the constant of the variation A. 47 B. 42 C. 54 D. 46 Show Content Detailed Solution Y ∝ \(\frac{1}{2}\) Y = 6, X = 7 Y = \(\frac{k}{x}\) where k is constant 6 = \(\frac{k}{7}\) k = 42 There is an explanation video available below.	B
33.	Find the equation of the locus of a point p (x, y) such that pv = pw, where v= (1, 1) and w = (3, 5) A. 2x + 2y = 9 B. 2x + 3y = 8 C. 2x + y = 9 D. x + 2y = 8 Show Content Detailed Solution There is an explanation video available below.	D
34.	Find ∫(x² + 3x − 5)dx A. \(\frac{x_3}{3}\) - \(\frac{3x_2}{2}\) - 5x + k B. \(\frac{x_3}{3}\) - \(\frac{3x_2}{2}\) + 5x + k C. \(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) - 5x + k D. \(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) + 5x + k Show Content Detailed Solution There is an explanation video available below.	C
35.	In the diagram above MN is a chord of a circle KMN centre O and radius 10cm. If < MON = 140°, find, to the nearest cm, the length of the chord MN. A. 10cm B. 19cm C. 17cm D. 12cm Show Content Detailed Solution Find the diagram Sin 70° x = 10 Sin 70° = 9.3969 Hence, length of chord MN = 2x = 2 × 9.3969 = 18.79 = 19cm (nearest cm) There is an explanation video available below.	B
36.	Factorize completely X2+2XY+Y2+3X+3Y-18 A. (x + y + 6)(x + y -3) B. (x - y - 6)(x - y + 3) C. (x - y + 6)(x - y - 3) D. (x + y - 6)(x + y + 3) Show Content Detailed Solution \(x^{2} + 2xy + y^{2} + 3x + 3y - 18\) \(x^{2} + 2xy + 3x + y^{2} + 3y -18\) \(x^{2} + 2xy - 3x + 6x + y^{2} -3y + 6y -18\) \(x^{2} + 2xy -3x + y^{2} -3y + 6x + 6y -18\) \(x^{2} + xy -3x + xy + y^{2} - 3y + 6x + 6y -18\) x(x + y - 3) + y(x + y - 3) + 6(x + y - 3) = (x + y - 3)(x + y + 6) = (x + y + 6)(x + y -3) There is an explanation video available below.	A
37.	Make S the subject of the relation p = s + \(\frac{sm^2}{nr}\) A. s = \(\frac{nrp}{nr + m^2}\) B. s = nr + \(\frac{m^2}{mrp}\) C. s = \(\frac{nrp}{mr}\) + m² D. s = \(\frac{nrp}{nr}\) + m² Show Content Detailed Solution p = s + \(\frac{sm^2}{nr}\) p = s + ( 1 + \(\frac{m^2}{nr}\)) p = s (1 + \(\frac{nr + m^2}{nr}\)) nr × p = s (nr + m2) s = \(\frac{nrp}{nr + m^2}\) There is an explanation video available below.	A
38.	The operation * on the set R of real number is defined by x * y = 3x + 2y − 1, find 3* − 1 A. 9 B. - 9 C. 6 D. - 6 Show Content Detailed Solution There is an explanation video available below.	C
39.	Find the gradient of the line joining the points (3, 2) and (1, 4) A. 3/2 B. 2/1 C. -1 D. 3/2 Show Content Detailed Solution There is an explanation video available below.	C
40.	Simplify (3√64a³)\(^{−1}\) A. 4a B. \(\frac{1}{8a}\) C. 8a D. \(\frac{1}{4a}\) Show Content Detailed Solution There is an explanation video available below.	D

31.	In how many ways can the word MACICITA be arranged? A. \(\frac{8!}{2!}\) B. \(\frac{8!}{3! 2!}\) C. \(\frac{8!}{2! 2! 2!}\) D. 8! Show Content Detailed Solution There is an explanation video available below.	C
32.	Y is inversely proportional to x and y is 6 when x = 7. Find the constant of the variation A. 47 B. 42 C. 54 D. 46 Show Content Detailed Solution Y ∝ \(\frac{1}{2}\) Y = 6, X = 7 Y = \(\frac{k}{x}\) where k is constant 6 = \(\frac{k}{7}\) k = 42 There is an explanation video available below.	B
33.	Find the equation of the locus of a point p (x, y) such that pv = pw, where v= (1, 1) and w = (3, 5) A. 2x + 2y = 9 B. 2x + 3y = 8 C. 2x + y = 9 D. x + 2y = 8 Show Content Detailed Solution There is an explanation video available below.	D
34.	Find ∫(x² + 3x − 5)dx A. \(\frac{x_3}{3}\) - \(\frac{3x_2}{2}\) - 5x + k B. \(\frac{x_3}{3}\) - \(\frac{3x_2}{2}\) + 5x + k C. \(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) - 5x + k D. \(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) + 5x + k Show Content Detailed Solution There is an explanation video available below.	C
35.	In the diagram above MN is a chord of a circle KMN centre O and radius 10cm. If < MON = 140°, find, to the nearest cm, the length of the chord MN. A. 10cm B. 19cm C. 17cm D. 12cm Show Content Detailed Solution Find the diagram Sin 70° x = 10 Sin 70° = 9.3969 Hence, length of chord MN = 2x = 2 × 9.3969 = 18.79 = 19cm (nearest cm) There is an explanation video available below.	B

36.	Factorize completely X2+2XY+Y2+3X+3Y-18 A. (x + y + 6)(x + y -3) B. (x - y - 6)(x - y + 3) C. (x - y + 6)(x - y - 3) D. (x + y - 6)(x + y + 3) Show Content Detailed Solution \(x^{2} + 2xy + y^{2} + 3x + 3y - 18\) \(x^{2} + 2xy + 3x + y^{2} + 3y -18\) \(x^{2} + 2xy - 3x + 6x + y^{2} -3y + 6y -18\) \(x^{2} + 2xy -3x + y^{2} -3y + 6x + 6y -18\) \(x^{2} + xy -3x + xy + y^{2} - 3y + 6x + 6y -18\) x(x + y - 3) + y(x + y - 3) + 6(x + y - 3) = (x + y - 3)(x + y + 6) = (x + y + 6)(x + y -3) There is an explanation video available below.	A
37.	Make S the subject of the relation p = s + \(\frac{sm^2}{nr}\) A. s = \(\frac{nrp}{nr + m^2}\) B. s = nr + \(\frac{m^2}{mrp}\) C. s = \(\frac{nrp}{mr}\) + m² D. s = \(\frac{nrp}{nr}\) + m² Show Content Detailed Solution p = s + \(\frac{sm^2}{nr}\) p = s + ( 1 + \(\frac{m^2}{nr}\)) p = s (1 + \(\frac{nr + m^2}{nr}\)) nr × p = s (nr + m2) s = \(\frac{nrp}{nr + m^2}\) There is an explanation video available below.	A
38.	The operation * on the set R of real number is defined by x * y = 3x + 2y − 1, find 3* − 1 A. 9 B. - 9 C. 6 D. - 6 Show Content Detailed Solution There is an explanation video available below.	C
39.	Find the gradient of the line joining the points (3, 2) and (1, 4) A. 3/2 B. 2/1 C. -1 D. 3/2 Show Content Detailed Solution There is an explanation video available below.	C
40.	Simplify (3√64a³)\(^{−1}\) A. 4a B. \(\frac{1}{8a}\) C. 8a D. \(\frac{1}{4a}\) Show Content Detailed Solution There is an explanation video available below.	D