Test: Ratio And Proportion, Indices, Logarithms - 2

If x/y = z/w, implies y/x = w/z, then the process is called

If p/q = r/s = p–r/q–s, the process is called

If a/b = c/d, implies (a+b)/(a–b) = (c+d)/(c–d), the process is called

If u/v = w/p, then (u–v)/(u+v) = (w–p)/(w+p). The process is called

12, 16, *, 20 are in proportion. Then * is

4, *, 9, 13½ are in proportion. Then * is

The mean proportional between 1.4 gms and 5.6 gms is

Two numbers are in the ratio 3 : 4; if 6 be added to each terms of the ratio, then the new ratio will be 4 : 5, then the numbers are

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

if  then  (b-c)x + (c-a)y+(a-b)z is 

4x^–1/4 is expressed as

The value of 8^1/3 is

The value of 2 × (32) ^1/5 is

The value of 4/(32)^1/5 is

The value of (8/27)^1/3 is

2^½ .4^¾ is equal to

 has simplified value equal to 

x^a–b × x^b–c × x^c–a is equal to

The value of  is equal to 

{(3³)² × (4²)³ × (5³)²} / {(3²)³ × (4³)² × (5²)³} is

Which is True ?

If x^1/p = y^1/q = z^1/r and xyz = 1, then the value of p+q+r is

The value of y^a–b × y^b–c × y^c–a × y–^a–b is

The True option is

The simplified value of 16x–³y² × 8^–1x³y^–2 is

The value of (8/27)^–1/3 × (32/243)^–1/5 is

The value of {(x+y)^2/3 (x–y)^3/2/√x+y × √ (x–y)³}⁶ is

Simplified value of (125)^2/3 × √25 × ³√5³ × 5^1/2 is

[{(2)^1/2 . (4)^3/4 . (8)^5/6 . (16)^7/8 . (32)^9/10}4]^3/25 is

[1–{1–(1–x²)^–1}^–1]^–1/2 is equal to

Ajay and Raj together have Rs. 1050. On taking Rs. 150 from Ajay, Ajay will have same amount as what Raj had earlier. Find the ratio of amounts with Ajay and Raj initially. 

If a³–b³ = (a–b) (a² + ab + b²), then the simplified form of 

 Using (a–b)³ = a³–b³–3ab(a–b) tick the correct of these when x = p^1/3 – p^–1/3

On simplification, 1/(1+a^m–n+a^m–p) + 1/(1+a^n–m+a^n–p) + 1/(1+a^p–m+a^p–n) is equal to

If A:B = 2:3, B:C = 4:5 and C:D = 6:7, then find the value of A:B:C:D