Q.3. If a positive integer is multiplied by 4, then the product is equal to the cube of the square root of that integer. What will be the product if this positive integer is multiplied by half of its square root?
A. 128
B. 64
C. 32
D. 16
E. None of these

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let the number be x

Four time the number is equal to the cube of the square root of the number
4x = (x1/2)3
4x  = x3/2
(4x)2 = x3
16 x2 = x3
x3/x2 = 16
x = 16
The Number multiplied by half of its square root is
x * 1/2(x1/2)
= 16 * 1/2( 161/2)
= 16 * 1/2(4)
= 16 * 2
= 32
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What are you looking for?