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  1. In Marshall method of mix design, the coarse aggregate, fine aggregate, fines and bitumen having respective values of specific gravity 2.60, 2.70, 2.65 and 1.01, are mixed in the relative proportions (% by weight) of 55.0, 35.8, 3.7 and 5.5 respectively. The theoretical specific gravity of the mix and the effective specific gravity of the aggregates in the mix respectively are:
    1. 2.42 and 2.63
    2. 2.42 and 2.78
    3. 2.42 and 2.93
    4. 2.64 and 2.78
Correct Option: A

Theoretical specific gravity of mix, GT
GT = w1 + w2 + w3 – w4

w1
+
w2
+
w3
+
w4
G1G2G3G4

=
100
55
+
35.8
+
3.7
+
5.5
2.62.72.651.01

= 2.424
Effective specific gravity of aggregates in mix, GE
GE =
(w1G1) + (w2G2)
(only fine + coarse)
w1 + w2

=
(55 × 236) + (35.8 × 2.7)
= 2.64
55



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