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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 1^{1}/_{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 1^{1}/_{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 – 3^{7}/_{9}) / 4^{1}/_{5}] + [{1/2(3^{1}/_{2})} / (5^{9}/_{3 }– 8^{5}/_{9})] then what will be the value of P

A

-140^{3}/_{121}

B

-3^{121}/_{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)/(2^{1}/_{2} + 3^{1}/_{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)/(2^{1}/_{2} + 3^{1}/_{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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