MCQ: Unitary Method - 1 - SSC CGL MCQ

Cost of 20 articles = ₹ 90
Cost of 1 article = ₹ 90/20
∴ Cost of 9 article = 9 x 90/20 = ₹ 40.50

∵ Cost of 12 pens = ₹ 84
Cost of 1 pen = ₹ 84/12
∴ Cost of 10 pens = (84/12) x 10
= 7 x 10 = ₹ 70

Let the required number of bananas be N.
16 dozens bananas = 16 x 12 = 192 bananas
Less bananas, Less cost (Direct proportion)
360 : 60 : : 192 : N
∴ N = (60 x 192)/360 = 32 bananas

Let the required cost be ₹ N.
More orange, more cost (Direct proportion)
24 : 120 : : 72 : N
∴ N = (120 x 72)/24 = ₹ 360

∵ Cost of 15 eggs = ₹ 75
∴ Cost of 1 egg = ₹ 75/15
∴ Cost of 4 dozens (4 x 12) = Cost of 48 eggs
= (75/15) x 48 = ₹ 240

Let number of toys be N.
More hours, More toys (Direct proportion)
2 : 80 : : 1 : N
⇒ N = 80/2 = 40 toys

∵ Distance covered in 20 min = 5 km
∴ Distance covered in 1 min = 5/20 km
∴ Distance covered in 100 min = (5/20) x 100
= 5 x 5 = 25 km

Cost of x meters ropes = Rs. d
∴ Cost of 1 meters ropes = Rs. d /x
∴ Cost of y meters ropes = Rs. dy/x

Let the required weight be w kg.
Less length, Less weight (Direct proportion)
45 : 12 :: 171 : w
∴ w = (12 x 171)/45 = 45.6 kg

∵ 8 m shadow means original height = 12 m
∴ 1 m shadow means original height = 12/8 m
∴ 100 m shadow means original height = (12/8) x 100 m
= (6/4) x 100 = 6 x 25 = 150 m

40 cows eat 40 bags of husk in 40 days.
∴ 1 cows eat 40 bags of husk in 40 x 40 days.
∴ 1 cows eat 1 bags of husk in 40 x 40 / 40 days.
∴ 1 cows eat 1 bags of husk in 40 days.

Since 39 persons can repair a road by working 5 hours in a day in 12 days.
∴ 1 persons can repair a road by working 5 hours in a day in 39 x 12 days.
∴ 1 persons can repair a road by working 1 hours in a day in 39 x 12 x 5 days.
∴ 30 persons can repair a road by working 1 hours in a day in 39 x 12 x 5 / 30 days.
∴ 30 persons can repair a road by working 6 hours in a day in 39 x 12 x 5 / 30 x 6 days.
∴ 30 persons can repair a road by working 6 hours in a day in 39 x 2 x 1 / 6 days.
∴ 30 persons can repair a road by working 6 hours in a day in 39 x 1 x 1 / 3 days.
∴ 30 persons can repair a road by working 6 hours in a day in 13 days.

As we know that Quarter Kg = 250 Gram
According to question,
250 Gram of potato costs 60 paise.
∴ 1 Gram of potato costs 60 / 250 paise.
∴ 200 Gram of potato costs 60 x 200 / 250 paise.
∴ 200 Gram of potato costs 60 x 20 / 25 paise.
∴ 200 Gram of potato costs 60 x 4 / 5 paise.
∴ 200 Gram of potato costs 12 x 4 paise.
∴ 200 Gram of potato costs 48 paise.

15 Cows eat as much as 21 Goats.
∴ 1 Cows eat as much as 21/ 15 Goats.
∴ 35 Cows eat as much as 21 x 35 / 15 Goats.
∴ 35 Cows eat as much as 21 x 7 / 3 Goats.
∴ 35 Cows eat as much as 7 x 7 Goats.
∴ 35 Cows eat as much as 49 Goats.

4 mat-weavers in 4 days can weave 4 mats.
1 mat-weavers in 4 days can weave 4 / 4 mats.
1 mat-weavers in 1 days can weave 4 / 4 x 4 mats.
8 mat-weavers in 1 days can weave 4 x 8 / 4 x 4 mats.
8 mat-weavers in 8 days can weave 4 x 8 x 8 / 4 x 4 mats.
8 mat-weavers in 8 days can weave 4 x 2 x 2 mats.
8 mat-weavers in 8 days can weave 16 mats.