Olympiad Test: Ratio And Proportion - 1 - Class 5 MCQ

Explanation:

First, we convert the quantities into the same unit of measurement. Converting 1.5 m into centimetres:
1.5 m = 150 cm (since 1 m = 100 cm)
To find the ratio between the two quantities:
90 : 150
3 : 5

Therefore, Option A is the correct answer.

- We can reduce ratios by dividing them by common factors. 
- Dividing 6 : 4 by 2, we get
3 : 2

Therefore, Option B is the correct answer.

1. We will simplify step by step.

Step 1: Divide both numbers by 9.

• 81÷9 = 9
• 108÷9 = 12

Now, the numbers are 9 and 12.

Step 2: Divide both numbers by 3.

• 9÷3 = 3
• 12÷3 = 4

Now, the numbers are 3 and 4.

Step 3: Write the Ratio.

81 : 108 = 3 : 4

To solve the given proportion:

We can use cross-multiplication:
15×6=18×?
90=18×?
Now, divide both sides by 18:

So, the correct answer is A

To solve the proportion:
4 : 3 = x : 12
We can set it up as:

Now, use cross-multiplication:
4×12=3×x
48=3x
Now, divide both sides by 3:

So, the correct answer is C.

In a proportion, the first and last terms are called the extreme terms.
For example, in the proportion a:b=c:d, the first term  a and the last term  d are the extreme terms.
So, the correct answer is B.

A ratio is said to be in its simplest form if the common factor between the terms is 1.
For example, the ratio 6 : 8 simplifies to 3 : 4 because the only common factor left between 3 and 4 is 1.
So, the correct answer is A

The correct condition for three terms  a, b, and c to be in proportion is:
a:b=b:c
This means that the ratio of the first two terms is equal to the ratio of the last two terms.
So, the correct answer is: A:
a : b = b : c

Four terms a, b, c, and d are said to be in proportion if:
a:b=c:d This means that the ratio of the first two terms is equal to the ratio of the last two terms.
So, the correct answer is: A:
a : b = c : d

To find the cost of 4 cans of juice, we can first determine the cost of one can and then multiply it by 4.

1. Cost of one can:

2. Cost of 4 cans:
Cost of 4 cans=4×Cost of 1 can=4×35=140 Rs
So, the cost of 4 cans of juice is: B: Rs 140

To solve the proportion 32 m:64 m=6 sec:?, we can first simplify the left side.
Simplifying the left side:

So, we have:
1:2=6 sec:?
Using cross-multiplication:
1×?=2×6
? = 12 sec
So, the answer is: B: 12 sec

A:3:4=15:25

Not equal.

B:12:24=6:12

Equal.

C:7:3=14:37:3=14:3

Not equal.

D:5:10=9:20

Not equal.
The only correct option is:
B: 12 : 24 = 6 : 12

To find the ratio of 15 kg to 75kg, we can simplify the ratio:

So, the ratio of 15 kg to 75kg is: A: 1 : 5

To determine which option is an equivalent ratio to 7 : 42, we first simplify 7 : 42:

Now, we can compare the simplified ratio1:6 with the options provided:
A: 7 : 6 7:6 — Not equivalent.
B: 6 : 1 6:1 — Not equivalent.
C: 1 : 6 1:6 — Equivalent.
D: 6 : 7 6:7 — Not equivalent.
The correct answer is:
C: 1 : 6

To find the ratio of 33 km to121km, we can express it as:

Now, we can simplify this ratio. The greatest common divisor (GCD) of 33 and 121 is 11.
Dividing both terms by their GCD:

So, the ratio of 33 km to 121km is:
A: 3 : 11

To find the value that fills in the blank in the proportion:

we can use cross-multiplication:
35×6=42×?
Calculating the left side:
210=42×?
Now, divide both sides by 42 

So, the answer is:
A: 5

To find the value of x in the proportion 3:4=x:16, we can set it up as:

Now, use cross-multiplication:
3×16=4×x
Calculating the left side:
48=4x
Now, divide both sides by 4:

So, the correct answer is:
C: 12

Two quantities can be compared only if they are in the same units.
For example, you can compare lengths in meters to lengths in meters, but not lengths in meters to lengths in centimeters without converting them to the same unit first.
So, the correct answer is:
B: Units

The ratio is said to be not in simplest form if the common factor is other than 1.
If there is a common factor greater than 1, the ratio can be simplified further.
So, the correct answer is:
B: Other than 1

In proportion, the symbol "::" is used to equate the two ratios. It indicates that the ratios on either side of the symbol are equal.
So, the correct answer is:
B: Two equate the two ratios