Basic Numeracy - Online Test

Let the required number of working hours per day be x.

More pumps, Less working hours per day (Indirect Proportion)

Less days, More working hours per day (Indirect Proportion)

Pumps	4	:	3		:: 8 : x
Days	1	:	2

 4 x 1 x x = 3 x 2 x 8

x =	(3 x 2 x 8)
	(4)

 x = 12.

Let the required number of bottles be x.

More machines, More bottles (Direct Proportion)

More minutes, More bottles (Direct Proportion)

Machines	6	:	10		:: 270 : x
Time (in minutes)	1	:	4

 6 x 1 x x = 10 x 4 x 270

x =	(10 x 4 x 270)
	(6)

 x = 1800.

Speed downstream = (13 + 4) km/hr = 17 km/hr.

Time taken to travel 68 km downstream =		68	hrs = 4 hrs.
		17

Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr.

Man's rate against the current = (12.5 - 2.5) km/hr = 10 km/hr.

(a) Since log_a a = 1, so log₁₀ 10 = 1.

(b) log (2 + 3) = log 5 and log (2 x 3) = log 6 = log 2 + log 3

      log (2 + 3)  log (2 x 3)

(c) Since log_a 1 = 0, so log₁₀ 1 = 0.

(d) log (1 + 2 + 3) = log 6 = log (1 x 2 x 3) = log 1 + log 2 + log 3.

So, (b) is incorrect.

To obtain Rs. 10, investment = Rs. 96.

To obtain Rs. 650, investment = Rs.		96	x 650		= Rs. 6240.
		10

Dividend on Rs. 20 = Rs.		9	x 20		= Rs.	9	.
		100				5

Rs. 12 is an income on Rs. 100.

Rs.	9	is an income on Rs.		100	x	9		= Rs. 15.
	5			12		5

C.P. = Rs. 3000.

S.P. = Rs.		3600 x 100		= Rs. 3000.
		100 + (10 x 2)

Gain = 0%.