Question 14 of 43advanced🔧 ApplyNumerical4 marks

You are given some number cards; 4000, 13000, 300, 70000, 150000, 20, 5. Using the cards get as close as you can to the numbers below using any operation you want. Each card can be used only once for making a particular number. (a) 1,10,000: Closest I could make is 4000 × (20 + 5) + 13000 = 1,13,000 (b) 2,00,000: (c) 5,80,000: (d) 12,45,000: (e) 20,90,800:

(b)
Answer

150000 + 40000 = 190000 (using 150000 + 4000×104000 \times 10 is not possible with given cards). Alternative: 70000×370000 \times 3 = 210000 (close). Best: 150000 + 40000 = 190000.

(c)
Answer

150000×4150000 \times 4 = 600000 (using 150000×4150000 \times 4, but we don't have 4). Try: 150000 + 150000 + 150000 + 150000 = 600000 (using card multiple times not allowed). Best: 70000×870000 \times 8 = 560000 (need 8). Creative: 150000 + 150000 + 150000 + 130000 = 580000 (but can't reuse cards).

(d)
Answer

150000×8150000 \times 8 = 1200000 (close). Or: 70000×1870000 \times 18 = 1260000. Best combination using available cards.

(e)
Answer

150000×14150000 \times 14 = 2100000 (close). Or combine multiple cards creatively.

Explanation

(b) Use available cards to get as close as possible to 2,00,000. (c) Find creative combinations to get close to 5,80,000. (d) Find creative combinations to get close to 12,45,000. (e) Find creative combinations to get close to 20,90,800.

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