monthly test geo

the ratio of the areas of two circles is 49:25 , then the ratio of the diameters of these
circles is
A. 3:4 B. 4:5 C. 7:5 D. 6:5 E. 1:4

1. If x is 2/3 of y and y is 3/4 of z , then the ratio of z to x is
   A. 2:1 B. 1:1 C. 3:2 D. 1:2 E. 4:3
2. If 2x2 -5xy + 3y2=0, then x:y=……….
   A. 2:5 B. 5:3 C. 1:1 D. 1:1 (or) 2:3 E. 3:2 (or) 1:1
3. If xy = x + y, where x and y are real numbers, then y cannot be
   A.0 B.1 C. -1 D.2 E. -2
4. If 3a = 4b = 5c, then 1/a:1/b:1/c =…………
   A. 1/3:1/4:1/5 B.1/5 :1/4: 1/3 C. 1/4:1/5:1/3 D. 3:4:5 E.5:4:3
5. If x:y:z =2:3:4 and x + y +z = 18 , then xyz = …………
   A.12 B.48 C.192 D.256 E.512
   A. 1only B. 2 only C. 3 only D. 1 and 2 only E. 1 and 3 only
6. 〖10〗^(1+log_10⁡3 )=……..
   A.3 B.30 C. 3/10 D.10/3 E.15
   8.(4)^log_2⁡3 =……..
   A.3 B.-6 C.9 D.12 E.15
7. log_3⁡5× log_25⁡27=………….
   A.3/2 B.2/3 C.5/27 D.3/25 E. 5×27
   10.If x=log_b⁡a,y=log_c⁡b,z=log_a⁡c, then xyz=…………
   A. 0 B. 1 C.-1 D. abc E. a+b+c
8. If log⁡2=a, then =…….
   A.a^2 B.2.5a C.1+a D.1-a E.1/2 a
   12.If log⁡2=a, log⁡3=b, then log⁡144=………….
   A. a^4 b^2 B.4a+2b C.8ab D. a^2 b^2 E. None