# Learning Mathematics

This set of MCQs helps you brush up on important math topics and prepare you to dive into skill practice.

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The number of girls in a village who attended tailoring classes was 45, he number of girls who attended classes on gardening was 70. If 30 of these attended both the classes find how many totally attended either of these classes.

75

85

80

45

If 2 sin(A+B)  =  √3 and √2cosB  =  1, find A and B.

A  =  15 , B= 45

A  =  35 , B= 25

A  =  45 , B= 15

A  =  25 , B= 35

Product of 2√13 and 8√13 is :

16√13

48√13

108

208

Rationalize the denominator of (√6+6√5)/(√6−6√5) :

(-31+2√30)/29

(-31-2√30)/29

(31-2√30)/29

(-31+2√30)/29

David drove 1 hour longer than Zachary at an average speed of 2 kilometers per hour faster than Zachary. Angel drove 3 hours longer than Zachary at an average speed of 6 kilometers per hour faster than Zachary. If David drove 40 kilometers more than Zachary, then how many more kilometers did Angel drive than Zachary?

104

142

137

132

How many positive integers m are there such that 𝑚^2 + 2017 is a perfect square?

1

2

4

5

Real numbers a and b satisfy the equations 3 𝑎 = 81𝑏+2 and 125𝑏 = 5 𝑎−3. What is ab?

-30

-60

30

60

Triangles ABC and ADC are isosceles with AB = BC and AD = DC. Point D is inside triangle ABC, angle ABC measures 40 degrees, and angle ADC measures 140 degrees. What is the degree measure of angle BAD?

60

50

30

40

What are the last two digits of 2017^2017?

81

93

37

77

A city is divided into four regions. The city council has decided that a new city hall, a new school, and a new movie theatre shall be built. The only condition is that the school and the movie theatre must not be in the same region. How many ways these four buildings be built in the city? (Ignore the time of construction).

4

16

48

24

Quiz/Test Summary
Title: Learning Mathematics
Questions: 10
Contributed by: 