ratio proportion and partnership Model Questions & Answers, Practice Test for ssc cgl tier 1 2023

Answer: (b)

Let the first number be x and the second number be y.

According to the question,

2x + 3y = 141 ...(i)

3x + 2y = 174 ...(ii)

By equation (i) × 3 – (ii) × 2, we have

6x + 9y – 6x – 4y = 423 – 348

⇒5y = 75⇒${75}/5$ = 15

From equation (i), 2x + 3 × 15 = 141

⇒2x = 141 – 45 = 96⇒${96}/2$ = 48

∴ Larger number = 48

Answer: (b)

${4x^2 - 3y^2}/{2x^2 + 5y^2} = {12}/{19}⇔9(4x^2 - 3y^2) = 12(2x^2 + 5y^2)$

⇔$52x^2 = 117y^2⇔4x^2 = 9y^2⇔{x^2}/{y^2} = 9/4⇔x/y = 3/2$

∴Required ratio is 3 : 2

Answer: (b)

Let number be x

∴${21 - x}/{38 - x}$ = ${55 - x}/{106 - x}$

2226 – 21x – 106x + $x^2$ = 2090 – 38x – 55x + $x^2$

34x = 136

x = 4

∴The number is 4

Answer: (a)

9 : 8

14 : 15

We know that the total bill = wage per person × no. of total employees.

Therefore, the ratio of change in bill

= 9 × 14 : 8 × 15 = 126 : 120 = 21 : 20

The ratio shows that there is a decrease in the bill.

Answer: (c)

Suppose B puts in x cows. The ratio of A's and B's rents

= 1 : 1 + $1/2 = 1: {3/2}$ = 2:3

= Then, ${100 × 8}/{x × 2} = 2/3 or, x = {100 × 8 × 3}/{2 × 2}$ = 600 cows.