Mathematics Questions & Answers - Free Online Practice

1,251.

In 1995, the enrollment of two schools X and Y were 1,050 and 1,190 respectively. Find the ration of the enrollments of X and Y

50:11

15:17

13:55

12:11

View answer & explanation

Correct answer is B

Divide cash enrollment by their common factors then the answer of each division gives the required ratio. i.e. x = \(\frac{1050}{70}\) = 15

and y = \(\frac{1190}{70}\) = 17

ratio of enrollment of x to y = 15:17

1,252.

Simplify; \(\frac{3\sqrt{5} \times 4\sqrt{6}}{2 \sqrt{3} \times 3\sqrt{2}}\)

\(\sqrt{2}\)

\(\sqrt{5}\)

2\(\sqrt{2}\)

2\(\sqrt{5}\)

View answer & explanation

Correct answer is D

\(\frac{3\sqrt{5} \times 4\sqrt{6}}{2 \sqrt{3} \times 3\sqrt{2}}\)

= \(\frac{\sqrt{5} \times 2\sqrt{6}}{\sqrt{2} \times \sqrt{3}}\)

= \(\frac{\sqrt{5} \times 2 \sqrt{6}}{\sqrt{6}}\)

= 2\(\sqrt{5}\)

1,253.

Express 302.10495 correct to five significant figures

302.10

302.11

302.105

302.1049

View answer & explanation

Correct answer is A

No explanation has been provided for this answer.

1,254.

In the diagram /Pq//TS//TU, reflex angle QPS = 245^o angle PST = 115^o, , STU = 65^o and < RPS = x. Find the value of x

80^o

70^o

60^o

50^o

View answer & explanation

Correct answer is D

< QPR = < STU = 65^o (Corresponding angles)

245 + < QPR = x = 360^o (< s at a point)

i.e. 245 + 65 + x = 360

x = 360 - (245 + 65)

x = 360 - 310

x = 50^o

1,255.

The venn diagram shows the number of students in a class who like reading(R), dancing(D) and swimming(S). How many students like dancing and swimming?

View answer & explanation

Correct answer is A

student that like swimming = x + 2

where 2 is the number of students who like reading, dancing and swimming. To find x from the venn diagram of swimming

6 +3 + 2 + x = 16

11 + x = 16

x = 16 - 11 = 5

no. of students that like dancing and swimming

x + 2 = 5 + 2 = 7