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

Answer: (d)

Total number of students in the school = 819

Number of girls = 364

∴Number of boys = 819 - 364 = 455

∴Required ratio = 455 : 364 = 5 : 4

Answer: (c)

Required ratio = $(2/3 × 6/{11} × {11}/2) = 2/1$ = 2 : 1

Answer: (d)

Let no. of one-rupee, 50 paise and 25 paise coins be 3x, 4x and 5x respectively

∴3x × 1 + 4x × 0.5 + 5x × 0.25 = 93.75

⇒ 3x + 2x + 1.25x = 93.75

⇒ 6.25x = 93.75

⇒ x = 15

∴No. of coins are 45, 60, 75

Answer: (c)

Suppose B joined the business for x months.

Then using the above formula, we have ${450 × 12}/{300 × x} = 1/2$

or 300 × 2x = 450 × 12

∴ x = ${450 × 12}/{2 × 300}$ = 9 months

Therefore, B joined after (12 – 9) = 3 months.

Answer: (d)

Kavita's age = x

Savita's age = y x = 2y or x – 2y = 0 ...(i)

${x+8}/{y+8}=22/13$

13x + 104 = 22y + 176

13x – 22y = 176 – 104

13x – 22y = 72 ...(ii)

On equating (i) & (ii), we get x = 36