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Examoogle • User • info@examoogle.com • EE-2024-8821
Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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V, W, X, Y এবং Z নামের পাঁচজনের প্রত্যেকের একটি নির্দিষ্ট বয়স আছে। X এর বয়স Y এর বয়সের চারগুণ। V এর বয়স X এর বয়সের সমান। Y এর বয়স Z এর বয়সের এক-তৃতীয়াংশ। W এর বয়স V এর বয়সের অর্ধেক। যদি Z এর বয়স 12 হয়, তাহলে W এর বয়স কত?
15
4
8
6
8
Map all ages to a single variable (Y) based on the relationships provided: X=4Y, V=4Y, Z=3Y, W=V/2=2Y. Since Z=12, Y=4, therefore W=2(4)=8.
Map all ages to a single variable (Y) based on the relationships provided: X=4Y, V=4Y, Z=3Y, W=V/2=2Y. Since Z=12, Y=4, therefore W=2(4)=8.
Establish Y as the Base Variable
Given Z = 12. Since Y is one-third of Z, Y = 12 / 3 = 4.
Determine X and V
X is four times Y, so X = 4 * 4 = 16. Since V's age equals X, V = 16.
Calculate W
W is half the age of V, so W = 16 / 2 = 8.
A: 15 is incorrect as it does not follow the derived relationships. B: 4 is the age of Y, not W. D: 6 is an arbitrary value not supported by the equations.
C is correct because according to the provided ratios, if Z=12 then Y=4, X=16, V=16, and W = V/2 = 8.
In age-related problems, always express all variables in terms of one constant or the youngest member to simplify calculations.