Arithmetic

Ratio, Proportion & Variation

Hard

IF A : B = $\frac{2}{9}$ : $\frac{1}{6}$ , B : C = $\frac{2}{7}$ : $\frac{5}{21}$ and D : C = $\frac{7}{10}$ : $\frac{3}{5}$ , D : E = $\frac{5}{7}$ : $\frac{3}{14}$

then

Match the LIST-I with LIST-II

LIST-I LIST-II
A. C : A I. 32 : 7
B. D : B II. 24 : 7
C. B : E III. 35 : 36
D. A : E IV. 5 : 8

Choose the correct answer from the options given below:

LIST-I		LIST-II
A.	C : A	I.	32 : 7
B.	D : B	II.	24 : 7
C.	B : E	III.	35 : 36
D.	A : E	IV.	5 : 8

A-I, B-II, C-III, D-IV

A-I, B-III, C-II, D-IV

A-III, B-IV, C-II, D-I

A-IV, B-III, C-II, D-I

✅ Correct Option: 4

Simplify: $A:B=4:3$ , $B:C=6:5$ , $D:C=7:6$ , $D:E=10:3$ .

Chaining gives $A:B:C=8:6:5$ ; scaling $D$ to this chain and then $E$ yields $A:B:C:D:E=96:72:60:70:21$ .

So $C:A=60:96=5:8$ , $D:B=70:72=35:36$ , $B:E=72:21=24:7$ , $A:E=96:21=32:7$ , i.e. A-IV, B-III, C-II, D-I.

2026: 25 May Shift 2

If A exceeds B by 40%, B is less than C by 20%, then A : C is :

2023: 30 May Shift 3

A certain weight (in kg) is divided into two parts such that 5 times the first part added to 11 times the second part makes 7 times the whole weight. The ratio of the first part to the second part is :

2025: 22 May Shift 1

If $a:b = \frac{12}{5}:\frac{3}{10}$ and $b:c = \frac{7}{9}:\frac{12}{7}$ then $a:c$ is

2022: 26 Aug Shift 1

The ratio's of salaries of Ram, Tom and Gita are in the ratio of 4:5:7. If the increment is their salaries 10%, 5% and 5% respectively. Then what will be the ratio of their salary?

2026: 29 May Shift 2

If 60% of A = 75% of B, then A : B is

2023: 7 June Shift 1

If A : B : C = 1 : 4 : 7 and B = (2x)% of (A + C), then x is :

Solution

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