ratio and proportion Model Questions & Answers, Practice Test for ssc mts tier 1 2024

Answer: (d)

${\text"married women"}/{\text"married men"} = {x/6}/{x/2}$ = 1 : 3

Answer: (a)

Given, P : Q = $3/5 : 5/7$ ...(i)

Q : R = $3/4 : 2/5$ ...(ii)

From Eq. (i),

P : Q = $3/5 × 3/4 : 5/7 × 3/4$

= $9/{20} : {15}/{28}$ ...(iii)

From Eq. (ii),

Q : R = $3/4 × 5/7 : 2/5 × 5/7$

= ${15}/{28} : 2/7$ ...(iv)

From equations (iii) and (iv),

P : Q : R = $9/{20} : {15}/{28} : 2/7$

Answer: (b)

Milk in the mixture = 30 × $7/{10}$ = 21 litres

Water in the mixture =30 × $3/{10}$ = 9 litres

Let the quantity of water added be x.

According to question

${21}/{9 + x} = 1/2$ ⇒ 9 + x = 42 ⇒ x= 33 litres

So, option (c) is correct.

Answer: (c)

Total number of inhabitants = 1935000

Total number of females = 935000

∴ Total number of males = 1935000 – 935000

= 1000000

∴ Sex ratio = ${935000}/{1000000}$ × 1000 = 935

Answer: (a)

∴ 10 litres are withdrawn = ${{10}/{50}} = {1/5}$ of the whole

Quantity of milk after 2nd operation

= 50$(1-{1/5})^2$

=${16}/{25}$ × 50 = 32litres