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

Answer: (c)

Given, x : y = 1 : 3, y : z = 5 : k, z : t = 2 : 5

t : x = 3 : 4

$x/y × y/z × z/t × t/x$ = 1

⇒$1/3 × 5/k × 2/5 × 3/4 = 1⇒1/2$ = k

∴ k = $1/2$

Answer: (a)

Let, cost of lemon Juice bottle = x

cost of orange Juice bottle = 2x

ATQ, 4 bottle of lemon juice = 2 bottle of orange juice

Total bottle of orange juice bought = x + 2x = 3x

Now, Z's share = 50.

∴ cost of one bottle of orange juice = 50

Answer: (d)

By the rule of alligation,

Alcohol concentration :

∴ Alcohol must be added in the ratio of 10 : 75 or 2 : 15

∴ Quantity of alcohol to be added in 10 litres

= ${2}/{15} × 10 = {4/3}$

Answer: (b)

Let B's capital is x and C's capital is y.

∴ A's profit = 200 = ${4000}/{4000 + x + y}$ × 800 …(i)

and C's profit = 100 = ${y}/{4000 + x + y}$ × 800 … (ii)

(i) ÷ (ii)⇒2=${4000}/{y}$⇒y = Rs 2000

∴ x = Rs 10,000

Alternate method : share of B = 800 – (200 + 100)

= 500

then ratio of profit share = 2 : 5 : 1

= ratio of investment

A's share is Rs 4000

∴ B's share

= 5 × 2,000

= 10, 000

Answer: (a)

Alcohol in 1st glass = $2/3$; water in 1st glass = $1/3$

Alcohol in 2nd glass = $1/2$ ; water in 2nd glass = $1/2$

∴ In 3rd glass,

Alcohol = ${2/3} + {1/2} = {7/6}$; water = ${1/3} + {1/2} = {5/6}$

∴ Required ratio = ${7/6} : {5/6}$ = 7 : 5