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Basic Maths: Test 3

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Question 1
image-16
A
$ \displaystyle \frac{123}{122}$
B
$ \displaystyle \frac{145}{154}$
C
$ \frac{205}{146}$
D
$ \displaystyle \frac{147}{157}$
Question 1 Explanation:
We do solve the first half and then we solve the whole question
images-17
Question 2
If $ \displaystyle x=1+\frac{1}{2+\frac{1}{3+\frac{1}{4+\frac{1}{2}}}}$ Then, the value of $ \displaystyle 2x+\frac{1}{2}$ is
A
$ \displaystyle 3\frac{49}{134}$
B
$ \displaystyle 5\frac{13}{24}$
C
$ \displaystyle 7\frac{13}{24}$
D
$ \displaystyle 6\frac{23}{134}$
Question 2 Explanation:
In this we need the value of x so for value of x we will solve the complex fraction part first .
$ \displaystyle \begin{array}{l}x=1+\frac{1}{2+\frac{1}{3+\frac{1}{4+\frac{1}{2}}}}\\x=1+\frac{1}{2+\frac{1}{3+\frac{2}{9}}}\\x=1+\frac{1}{2+\frac{9}{29}}\\x=1+\frac{29}{67}\\x=96/67\\Now\,by\,\,filling\,\,the\,\,value\,of\,\,x\\we\,\,have\,\,\\2x+\frac{1}{2}=2\times 96/67+\frac{1}{2}\\=\,451/134\,\,=\,\,3\frac{49}{134}\end{array}$
Question 3
$ \displaystyle 16\times 54\div 18=a$
A
50
B
52
C
44
D
None
Question 3 Explanation:
We can simplified the equation as
$ \displaystyle a=16\times \frac{54}{18}$ So the value of a will be 48 hence d is the right answer
Question 4
Find the value of m in $ \displaystyle 785-m+12\times 11=6295$
A
-5883
B
-5793
C
-5378
D
-5563
Question 4 Explanation:
The equation can be simplified to
$ \displaystyle \begin{array}{l}785-m+12\times 11=6295\\or,\,\,6295+m=785+12\times 11\\m=785+12\times 11-6295\\m=\text{-5378}\end{array}$
Therefore the right answer is option c
Question 5
If
$ \displaystyle {{9}^{5.5}}\times {{9}^{y}}={{9}^{9}}$
then find the value of y
A
4.5
B
2.29
C
2.75
D
none
Question 5 Explanation:
In case of multiplication if bases are same then the power can be added
So here 5.5 + y =9
From here y = 9 - 5.5 = 3.5
Hence the option d is the right answer  
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