Mathematics questions and answers

Mathematics Questions and Answers

How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.

2,241.

The mean of ten positive numbers is 16. When another number is added, the mean becomes 18. Find the eleventh number

A.

3

B.

16

C.

18

D.

32

Correct answer is D

Mean of 10 numbers = 16

The total sum of numbers = 16 x 10 = 160

Mean of 11 numbers = 18

Total sum of numbers = 11 x 18

= 198

The 11th no. = 198 - 160

= 38

2,242.

The mean of ten positive numbers is 16. When another number is added, the mean becomes 18. Find the eleventh number

A.

3

B.

16

C.

18

D.

32

Correct answer is D

Mean of 10 numbers = 16

The total sum of numbers = 16 x 10 = 160

Mean of 11 numbers = 18

Total sum of numbers = 11 x 18

= 198

The 11th no. = 198 - 160

= 38

2,243.

4, 16, 30, 20, 10, 14 and 26 are represented on a pie chart. Find the sum of the angles of the bisectors representing all numbers equals to or greater than 16

A.

48o

B.

84o

C.

92o

D.

276o

Correct answer is D

Given that 4, 16, 30, 20, 10, 14 and 26

Adding up = 120

nos \(\geq\) 16 are 16 + 30 + 20 + 26 = 92

The requires sum of angles = \(\frac{92}{120}\) x \(\frac{360^o}{1}\)

= 276o

2,244.

The locus of a point which moves so that it is equidistant from two intersecting straight lines is the?

A.

perpendicular bisector of the two lines

B.

angle bisector of the two lines

C.

bisector of the two lines

D.

line parallel to the two lines

Correct answer is B

The required locus is angle bisector of the two lines

2,245.

If the heights of two circular cylinder are in the ratio 2 : 3 and their volumes?

A.

27 : 32

B.

27 : 23

C.

23 : 32

D.

27 : 23

Correct answer is A

\(\frac{h_1}{h_2}\) = \(\frac{2}{3}\)

h2 = \(\frac{2h_1}{3}\)

\(\frac{r_1}{r_2}\) = \(\frac{9}{8}\)

r2 = \(\frac{9r_1}{8}\)

v1 = \(\pi\)(\(\frac{9r_1}{8}\))2(\(\frac{2h_1}{3}\))

= \(\pi\)r1 2h1 x \(\frac{27}{32}\)

v = \(\frac{\pi r_1 2h_1 \times \frac{27}{32}}{\pi r_1 2h_1}\) = \(\frac{27}{32}\)

v2 : v1 = 27 : 32