NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 4: Fractions & Decimals - Multiple Choice Questions
Question 5

Question.  5

If \(\tfrac{5}{8}=\tfrac{20}{p}\), then the value of \(p\) is

(A)

23

(B)

2

(C)

32

(D)

16

Detailed Answer with Explanation:

We have: ( frac{5}{8} = frac{20}{p} ).

  1. Cross-multiply: ( 5 imes p = 8 imes 20 ).
  2. Compute right side: ( 8 imes 20 = 160 ).
  3. So: ( 5p = 160 ).
  4. Divide by ( 5 ): ( p = frac{160}{5} ).
  5. Compute: ( frac{160}{5} = 32 ).

Therefore, ( p = 32 ). (Option C)

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NCERT Exemplar Solutions Class 6 – Mathematics – Unit 4: Fractions & Decimals – Multiple Choice Questions | Detailed Answers