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20.If log_10⁡x<0 , then
A. x<0 B.-1<x<0 C. -1<x<1 D. 0<x<1 E. x>1

1. If log_10⁡x=0.35, then log_10⁡√x=……….
   A. -1.75 B.-0.175 C. 0.175 D. 3.5 E. 0.7
2. Simplify (log⁡√x+log⁡〖x^(3/2) 〗)/(4 log⁡√x )
   A.log⁡x B.1 C.0 D.1/2 log⁡x E.2
3. Solve the inequality xlog_10⁡0.1>log_10⁡10.
   A. x<-1 B. x<1 C. x>1 D. x>100 E. x>-1
4. If log⁡(p+q)= log⁡p-log⁡q , then p=……….
   A. p=q=1 B. p=q/(1-q) C. p=q^2/(1-q) D. p= q/(1+q) E. p=q^2/(1+q)
   25.If log⁡a=5, log⁡b =3, then the value of a/b is
   A. 5/3 B. 2 C. 8 D. log⁡〖5/3〗 E.100
5. Given that log_a⁡2 =0.301 and log_a⁡3 =0.477, then =……..
   A. 0.125 B. -0.125 C. 0.301 D. -1.125 E. 1.125
6. If 2log_p⁡8-log_p⁡4=2, then p=……….
   A. 4 B. -4 C. 4 (or) 2 D. 4 (or) -4 E. 2
7. log_(1/9)⁡((x-1)/(x+2)) = 1/2; x=………
   19.The line 3x + 4y=12 cuts the Y-axis at
   A.(0,2) B.(2,0) C.(3,0) D.(0,3) E.(0,4)
8. Which of the following points, lies on the line 2x+y=6?
   1. (1,4) 2.(0,6) 3.(2,0)
      A.1 only B. 2only C. 1and3 only D. 2and3 only E. 2 and 3 only
9. PQRS is a rectangle with the points P(-1,0) , Q(2,0) and R(2,3). Then the coordinate of
   the point S is
   A.(2,5) B.(1,5) C.(-2,4) D.(-1,3) E.(2,4)
10. The distance between the points (0,y) and the origin is 5. Then y=…….
    A.5 B.-5 C.±5 D.25 E. undefined
    23.A triangle has vertices at (-3,0), (4,0) and (0,8). The area of the triangle is
    A.56 B.28 C.-4 D.-28 E. None of these
11. A pairs of the points (2,-3) and (x,4) lies on the line parallel to Y-axis, then x=………
12. In an equilateral △ABC, A(2,3), B(-1,-1), find BC.
    A.5 B.-5 C.-3 D.-9 E.2