ratio proportion and partnership Model Questions & Answers, Practice Test for ibps so prelims 2023

Answer: (c)

6x – 2x = 24,

i.e. 4x = 24 or

x = $24/ 4 = 6$

Father's age = 7 × 6 = 42

Answer: (a)

Total no. of Roses & Lilies = 180 × 2 = 360

No. of Lilies = $360×2/5$ = 144

Answer: (b)

Given ${x + 4}/{3x + 15}$ = $(2/3)^3$ = $8/{27}$

27x + 108 = 24x +120

3x = 12

x = 4

Answer: (a)

Sides are in the ratio ${1/2} : {1/3} : {1/4}$

i.e. 6 : 4 : 3

Let the ratio be x

∴sides are 6x, 4x and 3x

Given that 6x + 4x + 3x = 104

⇒13x = 104

⇒x = 8

∴longest side = 6x = 6 × 8 = 48 cm

Answer: (c)

According to the above theorem,

a : b = 3 : 2 (Income)

c : d = 5 : 3 (Expenditure)

X = 2000 (Savings)

Therefore, A's income = ${Xa(d - c)}/{ad - bc} = {2000 × 3 × (3 - 5)}/{3 × 3 - 2 × 5}$

= Rs. 12, 000

and B's income = ${Xb(d - c)}/{ ad - bc} = {2000 × 2 × (3 - 5)}/{3 × 3 - 2 × 5}$ = Rs. 8,000