averages Model Questions & Answers, Practice Test for ssc cgl tier 1

Answer: (c)

By Direct Formula :

Average = ${2 × 60 × 30}/{60 + 30}$

= ${2 × 60 × 30}/90$ = 40 km/hr

Answer: (a)

Average selling price

= ${140 × 450 + 250 × 550}/{140 + 250} × 140/100$

= $200500/390 × 140/100$ = Rs. 720 (approx.)

Answer: (d)

16 years ago, let T = x years and G = 8x years

After 8 years from now,

T= (x + 16 + 8) years and G = (8x + 16 + 8) years.

∴ 8x + 24 = 3(x + 24) ⇔ 5x = 48.

8 years ago, $\text"T"/\text"G" = {x + 8}/{8x + 8}$

${48/5 + 8}/{8 × 48/5 + 8} = 88/424 = 11/53$

Answer: (b)

Let present age of Priya be x

x – 4 = $n^3$

x + 4 = $(b)^2$

since n is a no > 1 on putting n = 2 we get x = 12

So x + 4 = 16 which is square of an integral number thus, consistent with given information after how many years her age becomes such that age before one year is a square and age after one year is a cube

Using option if we add 14 years to current age, we get age = 26 years

Here 25 is a square and 27 is a cube thus making 14 the correct answer.

Answer: (b)

Let the total no. of workers be x.

Now, 8000 x = 7 × 12000 + (x – 7) × 6000

⇒ $x = 42000/2000 = 21$