IMO- Mathematics Olympiad Class 8: Questions 96 - 102 of 1029

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Question number: 96

» Linear Equations in One Variable

MCQ▾

Question

Solve for a=(5a+1)12+(4a5)4=(a+5)6+(5a1)8

Choices

Choice (4) Response
a.

5

b.

10

c.

12

d.

3

Question number: 97

» Linear Equations in One Variable

MCQ▾

Question

The difference of two numbers a and b is 10 and difference of their cubes is 10. Then find the numbers b.

Choices

Choice (4) Response
a.

2±32 i

b.

5±22 i

c.

522 i

d.

3±22 i

Question number: 98

» Linear Equations in One Variable

MCQ▾

Question

A number consists of two digits whose sum is 9. If 63 is subtracted to the number, the digits are interchanged. The number is_.

Choices

Choice (4) Response
a.

82

b.

88

c.

18

d.

81

Question number: 99

» Linear Equations in One Variable

MCQ▾

Question

A number consists of two digits whose sum is 5. If 9 is added to the number, the digits are interchanged. The number is_.

Choices

Choice (4) Response
a.

32

b.

23

c.

88

d.

31

Question number: 100

» Linear Equations in One Variable

MCQ▾

Question

The value of x for which 4x32x+3=13 is_.

Choices

Choice (4) Response
a.

7

b.

65

c.

6

d.

67

Question number: 101

» Linear Equations in One Variable

MCQ▾

Question

Solve for x=(2x+1)14+(3x2)5=(x+2)7+(2x1)10

Choices

Choice (4) Response
a.

9

b.

94

c.

2

d.

1

Question number: 102

» Linear Equations in One Variable

MCQ▾

Question

A motor boat covers a certain distance downstream in a river in 1 hours. It covers the same distance upstream in 5 hours. The speed of the water is 6.0 km/hr. The speed of the boat in still water is_.

Choices

Choice (4) Response
a.

9 km/hr

b.

19.5 km/hr

c.

5 km/hr

d.

11 km/hr

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