Unitary Method Test - 1

Clearly , less workers will build the room in more days.

16 workers can build a room in 34 days.

1 worker can build the room in 34 x 16days.

( less worker more days)

8 workers will build the room in 

(34 x 16)/8

= 68 days.

Given

Cost of two dozen pens = Rs 192.48

We know that,

12 pens = one dozen

Hence the price of one pen can be calculated as follows:

Price of one pen = 192.48 / 24

= Rs 8.02

∴ the price of one pen is Rs 8.02

Hence the price of 32 such pens can be calculated as follows:

Price of 32 pens = 32 × 8.02

= Rs 256.64

∴ the price of 32 pens is Rs 256.64

Given

Interest earned on deposit of Rs 5000 for 3 years = Rs 1200

Hence interest earned on deposit of Rs 24000 for 3 years can be calculated as below

Interest earned on deposit of Rs 5000 for 3 years = Rs 1200

Interest earned on deposit of Rs 1 for 3 years = Rs 1200 / 5000

Interest earned on deposit of Rs 24000 for 3 years = RS 24000 × 1200 / 5000

= Rs 5760

∴ Amount earned on deposit of Rs 24000 in 3 years is Rs 5760

Given

Distance covered by train in 15 hours = 1620 km

Distance covered by train in 7.2 hours can be calculated as below

Distance covered in 1 hour = 1620 / 15

= 108 km

Distance covered by train in 7.2 hours = 108 × 7.2

= 777.6 km

∴ Distance covered by train in 7.2 hours is 777.6 km

Given

Price of 20 identical toys = 2450

Hence, the price of 14 toys can be calculated as follows:

Price of one toy = 2450 / 20

= Rs 122.5

Price of 14 toys = 14 × 122.5

= Rs 1715

∴ the price of 14 toys is Rs 1715

Given

Distance covered by Ruchi to walk 480 steps = 300 metres

Hence distance covered by Ruchi to walk 680 steps can be calculated as below

Distance covered in one step = 300 / 480

Distance covered in 680 steps = 680 × 300 / 480 m

= 17 x 25

= 425 m

∴ Distance covered by Ruchi to walk 680 steps is 425 m

Given

Weight of 24 packets = 15 kg

Hence weight of 72 packets can be calculated as below

Weight of one packet = 24 / 15 kg

Weight of 72 packets = 24 / 15 × 72

= 115.2 kg

∴ the weight of 72 packets is 115.2 kg

Given

Amount earned by Gaurav for working 248 hours = Rs 16120

Work done by him for 24 hours less than last month = 248 – 24

= 224 hours

Hence money earned by Gaurav in 224 hours can be calculated as below

Money earned in one hour = 16120 / 248

Money earned in 224 hours = 224 × 16120 / 248

= Rs 14560

∴ For working 224 hours for the month, Gaurav will earn Rs 14560

Given

Amount in which Rahul buys 15 pens = Rs 180

Amount in which Anuj buys 18 pens = Rs 198

Cost of 1 pen of Rahul = 180 / 15

= Rs 12

Cost of 1pen of Anuj = 198 / 18

= Rs 11

∴ The cost of Anuj’s pen is cheaper than Rahul. 

Given

Amount in which 12 cans of orange juice can be bought = Rs 546

Number of orange juice cans bought in Rs 546 = 12 cans

Juice can bought in Rs 1 = 12 / 546

Number of juice cans bought in Rs 819 = 12 / 546 × 819

= 2 x 9

= 18

∴ 18 cans of juice can be bought in Rs 819

Given

Rent paid by Vinay for 3 months = Rs 16,500

Hence rent of 12 months can be calculated as below

Rent of 1 month = 16500 / 3

= Rs 5500

So , rent for two years = 

Rent of 24 months = 24 × 5500

= Rs 132000

∴ The rent of 24 months is Rs 132000

Given

A tractor travels 14 km in 32 minutes

We know

1 hour = 60 min

4 hours = 4 × 60

= 240 min

Distance covered by the tractor in 32 min = 14 km

Distance covered by the tractor in 1 min = 14 / 32 km

Distance covered by the tractor in 240 min = 14 / 32 × 240 km

= 105 km

∴ Distance travelled by the tractor in 4 hours is 105 km

Given

A content writer types 288 words in 18 minutes

We know

1 hour = 60 minutes

Hence number of words typed by the writer in 60 minutes can be calculated as below

Words typed in 1 minute = 288 / 18

= 16 words

Words typed by the writer in 60 minutes = 16 × 60

= 960 words

∴ The content writer typed 960 words in 60 minutes

Given

Temperature dropped 6 degree Celsius in 18 days

Hence temperature dropped in next 12 days can be calculated as below

Temperature dropped in 18 days = 6⁰ C

Temperature dropped in 1 day = 6⁰ C / 18

Temperature dropped in 12 days = 12 × 6⁰ C / 18

= 4⁰ C

∴ Temperature dropped in next 12 days will be 4⁰ C

In 3 hours, scooter covers 108 km.

In 1 hours, scooter covers km = (108/3) = 36 km.

In 8 hours, scooter covers  = 36 x 8 = 288 km.

Given 

Cost of 48 sweet boxes = Rs 336 

Hence the number of sweet boxes can be bought for Rs 196 can be calculated as below

Number of sweet boxes bought in Rs 336 = 48

sweet boxes bought in Rs 1 = 48 / 336

Number of sweet boxes bought in Rs 196 = 48 / 336 × 196

= 28

∴ 28 sweet boxes can be bought in Rs 196

Given

Cm of rainfall in 4 days = 376 cm

Hence, rainfall in one week can be calculated as below

Rainfall in one day = 376 / 4

= 94 cm

Rainfall in 7 days = 94 × 7

= 658 cm

∴ Rainfall in 7 days is 658 cm

Given

Electric pole of 18m height cast a shadow of 12 m

Hence, the length of shadow casted by other tree of 8 m can be calculated as below

Height of electric pole which casts shadow of 12 m = 18 m

Height of electric pole which casts shadow of 1 m = 18 / 12 m

Height of tree which casts the shadow of 8 m = 18 / 12 × 8 m

= 12 m

∴ Length of the tree which casts the shadow of 8 m is 12 m

Given

Cost of 14 pancakes = Rs 322

Hence, cost of 9 pancakes can be calculated as below

Cost of 1 pancakes = 322 / 14

= Rs 23

Cost of 9 pancakes = 9 × 23

= Rs 207

∴ the cost of 9 pancakes will be Rs 207

If Arav takes 15 days to finish his work then,

Arav’s 1 day of work = 1/15

Similarly, Bunty’s 1 day of work = 1/10

Now, total work done by Arav and Bunty in 1 day = 1/15 + 1/10

Taking LCM(15, 30) we have,

1 day’s work of Arav and Bunty = (2+3)/30

1 day’s work of  (Arav + Bunty) = ⅙

Thus, Arav and Bunty can finish the work in 6 days if they work together.