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Number System: Decimals and Fractions Test-1

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Question 1
Which of the following fractions is a proper fractions?
A
2/3 and 5/4
B
4/3 and 11/2
C
2/3 and ¾
D
None
Question 1 Explanation: 
A proper fraction is one in which the Numerator < Denominator,
so the right option is C.
Question 2
Which of the following fractions is an  improper fractions?
A
6/4 and 5/4
B
1/3 and 11/2
C
19/3 and ¾
D
None
Question 2 Explanation: 
A improper fraction is one in which the Numerator > Denominator,
 so the right answer is option A
Question 3
391/437 is to equal to a fraction p/q. What is the value of p/q?
A
19/17
B
23/19
C
39/17
D
none
Question 3 Explanation: 
Just divide the 391 from 437;
both are multiples of 23, so the fraction will be 17/19
So the right answer is none.
Question 4
If P = [(7/9 – 37/9) / 41/5] + [{1/2(31/2)} / (59/3 – 85/9)] then what will be the value of P
A
-1403/121
B
-3121/140
C
0
D
none
Question 4 Explanation: 
Just solve the question using the BODMAS rule and you will get B as the correct answer.
Question 5
If P = [{1/2/ (¼ -1/2 -1/2)}] x [(4/5)/(21/2 + 31/2)] - 21 then what we can say for P
A
P will be a proper fraction
B
P will be a Improper fraction
C
P will be a negative improper fraction
D
None
Question 5 Explanation: 
[{1/2/ (¼ -1/2 -1/2)}] = (½)/(-3/4)= -2/3
[(4/5)/(21/2 + 31/2)]
= (4/5)/(5/7 +7/2)
= (4/5) / 6 =2/15
So  -2/3 x 2/15 = -4/45
And  -4/45 -21 = -949/45
So the best answer to this problem is Option C
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