SAT Math Multiple Choice Practice Question 562: Answer and Explanation

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Question: 562

19.

If C and D represent digits in the correctly worked multiplication problem above, then C + D =

A. 2
B. 7
C. 8
D. 13
E. 15

Correct Answer: C

Explanation:

C This is a multiplication problem, so to find C we need to find out what digit times 6 results in a product that ends in 8. The multiples of 6 that end in 8 are 18 and 48. If C is 3, then 6 × 3 is 18, and we carry the 1. The C in answer 94C8 also must be 3: 6 × 7 = 42, plus the 1 we carried, is 43. This gets a 3 into the C spot, (using 8 as a multiplier does not lead to an 8 in the C spot in the product). Now we need to find the value of D. Since we are carrying the 4 from the last multiplication, 6 × D must result in a product of 0. Only 6 × 5 = 30 fits, so D = 5. Finally, find the sum of C + D: 3 + 5 = 8, answer C.

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