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Entry Test MCQ :: Basic Algebra

11.  If a x 51 x 48 x 54 = 16 x 17 x 18 then a =
A. 1 ? 27 B. 1 ? 250
C. 25 D. 27
E. 500    
12.  (x2yz + xy2z + xyz2) / xyz
A. xy+xy+yz B. xy+yz+zx
C. x+y+z D. x2+y2+z2
E. (x+y+z)/xyz    
13.  (a+b)2 + (a-b)2 =
A. 2(a2+b2) B. 2(a2+2b2)
C. 4ab D. 4(a+b)
E. 2(a2+b2)    
14.  If x = 5 y=4 z=3 then which of the following is true? (I) x+y+z = 11 (II) x+y-z = -6 (III) x+Y+z = 12 (IV) -x+y-z = -4
A. I and II B. III and IV
C. all D. none
15.  (12a2 - 144a) / (a-12) = ?
A. 12a B. 12a2
C. 11a D. 144axa
16.  (9/a)+(21/a)x(36/a)=? If a = 3
A. 80 B. 120
C. 100 D. 87
17.  (x+y)2 + (y+z)2 =
A. x2+y2+z2+2xy+4yz B. x2+y2+z2+4xy+2yz
C. x2+2y2+z2+2y(x+z) D. x2+2y2+z2+2x(y+z)
E. none    
18.  If 17-m = 12-n then m-n =?
A. 5 B. ?5
C. 4 D. 3
E. none    
19.  (p2-q2) / (p+q) = 50 then p-q = ?
A. 25 B. 45
C. 49 D. 50
20.  (x+y)2 - (x-y)2 =
A. 2(x2-y2) B. 2(x2+y2)
C. 2x2-2y2-2xy D. 4xy

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