Match List I with List II. List I — Expression List II — Value A. 0.5 × 0.05 ×…
2024
Match List I with List II.
List I — Expression | List II — Value |
|---|---|
A. 0.5 × 0.05 × 0.005 × 50 | I. 154.15125 |
B. 5.55 × 55.5 × 55 | II. 16941.375 |
C. 5.05 × 5.55 × 5.5 | III. 1678.875 |
D. 5.5 × 5.5 × 55.5 | IV. 0.00625 |
Choose the correct matching sequence from the options given below.
Answer: C. (A)-(IV), (B)-(II), (C)-(I), (D)-(III) — ConceptIn decimal multiplication, first multiply the numbers as integers, then place the decimal point so that the product has as many decimal places as all…
- A.
(A)-(IV), (B)-(III), (C)-(I), (D)-(II)
- B.
(A)-(II), (B)-(III), (C)-(IV), (D)-(I)
- C.
(A)-(IV), (B)-(II), (C)-(I), (D)-(III)
- D.
(A)-(IV), (B)-(III), (C)-(II), (D)-(I)
Show answer & explanation
Correct answer: C
Concept
In decimal multiplication, first multiply the numbers as integers, then place the decimal point so that the product has as many decimal places as all factors have together.
Powers of ten may also be separated from the significant digits; both methods preserve place value and provide a quick check on magnitude.
Application
For A: 0.5 × 0.05 × 0.005 × 50 = 0.025 × 0.005 × 50 = 0.000125 × 50 = 0.00625, so A pairs with IV.
For B: 5.55 × 55.5 × 55 = 308.025 × 55 = 16941.375, so B pairs with II.
For C: 5.05 × 5.55 × 5.5 = 28.0275 × 5.5 = 154.15125, so C pairs with I.
For D: 5.5 × 5.5 × 55.5 = 30.25 × 55.5 = 1678.875, so D pairs with III.
Cross-check
The four computed products are distinct and each appears exactly once in List II, confirming the one-to-one matching.
Expression | Computed product | List II match |
|---|---|---|
A | 0.00625 | IV |
B | 16941.375 | II |
C | 154.15125 | I |
D | 1678.875 | III |
Therefore, the matching is A–IV, B–II, C–I, D–III.