6th Grade > Mathematics
RATIO AND PROPORTION MCQs
Total Questions : 95
| Page 1 of 10 pages
Answer: Option C. -> 4:1
:
C
Grandfather's present age is72 years.
Grandson's present age is 12 years.
After 8 years,
grandfather's age would be 72 + 8 = 80 years
and grandson's agewould be 12 + 8 = 20 years.
So, after 8 years, the ratio of grandfather's age to grandson's age would be 8020=41=4:1.
:
C
Grandfather's present age is72 years.
Grandson's present age is 12 years.
After 8 years,
grandfather's age would be 72 + 8 = 80 years
and grandson's agewould be 12 + 8 = 20 years.
So, after 8 years, the ratio of grandfather's age to grandson's age would be 8020=41=4:1.
Answer: Option A. -> Ratio
:
A
Aratio is a method by which two similar quantities are compared by using division.
:
A
Aratio is a method by which two similar quantities are compared by using division.
Answer: Option A. -> 4 kg : 20 kg :: ₹ 50 : ₹ 250
:
A
Ratios are in proportion if they are equal or equivalent. This can be verified by using the product of means and product of extremes.
In a: b :: c: d;'b' and 'c' are means and 'a' and 'd' are extremes.
For 4 kg : 20 kg :: ₹ 50 : ₹ 250
Product of means = 20 × 50 = 1000
Product of extremes = 4 × 250= 1000
So, this is in proportion.
For2 dozens : 3dozens :: ₹40 : ₹ 80
Product of means = 3× 40 = 120
Product of extremes = 2 × 80 = 160
So, this is not in proportion.
For 8 liters : 15liters :: ₹ 25 : ₹ 50
Product of means = 15× 25 = 375
Product of extremes = 8 × 50 = 400
So, this is also not in in proportion.
For 2km: 3 km:: 1 m: 2m
Product of means = 3× 1= 3
Product of extremes = 2× 2= 4
So, this is also not in in proportion.
:
A
Ratios are in proportion if they are equal or equivalent. This can be verified by using the product of means and product of extremes.
In a: b :: c: d;'b' and 'c' are means and 'a' and 'd' are extremes.
For 4 kg : 20 kg :: ₹ 50 : ₹ 250
Product of means = 20 × 50 = 1000
Product of extremes = 4 × 250= 1000
So, this is in proportion.
For2 dozens : 3dozens :: ₹40 : ₹ 80
Product of means = 3× 40 = 120
Product of extremes = 2 × 80 = 160
So, this is not in proportion.
For 8 liters : 15liters :: ₹ 25 : ₹ 50
Product of means = 15× 25 = 375
Product of extremes = 8 × 50 = 400
So, this is also not in in proportion.
For 2km: 3 km:: 1 m: 2m
Product of means = 3× 1= 3
Product of extremes = 2× 2= 4
So, this is also not in in proportion.
Answer: Option B. -> 5 kg
:
B
Weight of 80 identical books = 400 kg
Weight of 1 such book
=40080=10×4010×8=408=5kg
:
B
Weight of 80 identical books = 400 kg
Weight of 1 such book
=40080=10×4010×8=408=5kg
:
Steps: 3 Marks
Answer: 1 Mark
Ratio between Sujay and Ram = 4:1
Total value = 4+1 = 5
Therefore, Sujay’s part of total pencils = 45
Ram’s part of total pencils = 15
Thus, Pencils with Sujay
= 45×20=16
Pencils with Ram = 15×20=4
:
Solution: 1 Mark
312:213=72:73
=72×37=32=3:2
:
Steps: 2 Marks
Answer: 1 Mark
Kareem's expense for 10 days =Rs.230
Kareem's expense for 1 day=23010=Rs.23
Ratio of Kareem's expenditure =1:23
Total amount left with Kareem =Rs.345
Number of days to finish Rs.345
⇒34523=15days
:
a Part: 1 Mark
b Part: 1 Mark
c Part: 2 Marks
(a) Cost of 6 kg of wheat = Rs 72
Cost of 1 kg of wheat =726=Rs.12
Cost of 8 kg of wheat =12×8
= Rs.96
(b) Cost of 5 kg of rice = Rs 450
Cost of 1 kg of rice =4505
= Rs.90
(c) Ratio of price of 1kg of rice to 1kg of wheat
⇒9012=152=15:2
:
Steps: 1 Mark
Answer: 1 Mark
Ifx:4and6:8 are equivalent ratios. Then
x:4=6:8⇒x4=68
⇒x=6×48=3
∴x=3
:
Observing correct number of figures: 1 Markeach
Correct ratio in simplest form: 1 Mark each
a) Number oftriangles = 6
Number of stars = 4
⇒Ratio of the number oftriangles to the number of stars = 6 : 4 = 3: 2
b) Number of rhombi =6
Total number of figures = 16
⇒ Ratio of the number of rhombusto the total number of figures
= 6 : 16 = 3 : 8
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