The value of (x + y + z)3 – (y + z – x)3 – (z + x – y)3 – (x + y – z)3 is:
(A) 12 xyz
(B) 24 xyz
(C) 36 xyz
(D) 0
If x = – 1, then the value of
(A) 1
(B) 0
(C) –2
(D) –1
(A) 0
(B) 1
(C) 2
(D) 3
If x = 2 - 21/3 + 22/3, then the value of x3– 6x2 + 18x + 18 is
(A) 22
(B) 33
(C) 40
(D) 45
If a3 – b3 – c3 – 3abc = 0, then
(A) a = b = c
(B) a + b + c = 0
(C) a + c = b
(D) a = b + c
If p, q, r are all real numbers, then (p – q)3 + (q – r)3 + (r – p)3 is equal to
(A) (p – q) (q – r) (r – p)
(B) 3(p – q) (q – r) (r – p)
(C) 0
(D) 1
If a = 2·361, b = 3·263 and c = 5·624, then the value of a3 + b3 – c3 + 3abc is
(A) 35·621
(B) 0
(C) 19·277
(D) 1
If the sum of {a\over b}and its reciprocal is 1 and a ≠ 0, b ≠ 0, then the value of a3 + b3 is
(A) 2
(B) -1
(C) 0
(D) 1
The average of 21 consecutive natural numbers is 53. What is the value of the smallest of these 21 numbers?
(A) 42
(B) 41
(C) 43
(D) 44
A shopkeeper buys three products a, b, c and sells them at 20%, 30%, 40% profit, respectively. What is ratio of the selling price of these products, if the ratio of their cost prices is 4:3 :2?
(A) 48 : 39 : 28
(B) 34 : 54 : 12
(C) 24 : 39 : 14
(D) 56 : 26 : 21
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