# Free Comparing Quantities 01 Practice Test - 7th grade

### Question 1

An architect drew a scaled down plan of a building. On the map, the dimensions of a room is written as 5cm × 4cm. If the scale used by him is, 2cm = 100km. What will be the actual dimensions of the room?

250m × 200m

250km × 200km

250cm × 200cm

2.50km × 20.0km

#### SOLUTION

Solution :B

Given that, 2 cm = 100 km

Therefore, 1 cm is equivalent to 50 km.

Actual dimensions of the room = (5×50) km × (4×50) km = 250 km × 200 km

### Question 2

Anita, Sunita, Ram and Raman scored 89, 87, 90 and 55 marks (out of 100) respectively in an exam. Who scored the maximum percentage and how much?

#### SOLUTION

Solution :A

For the given question, it is clear that marks scored by Ram is maximum.

Therefore, the percentage scored by him will be maximum.

Marks scored by Ram

= 90100

We know, percentages are numerators of fractions with denominator 100.∴ Percentage of Ram's marks = 90%

### Question 3

In an entrance exam there were foursections each of 50 marks. Marks securedby Satyam in each section is shown belowSubjectAptitudeGeneralMathematicsGeneralAwarenessEnglishMarks45403540

What is the percentage marks scored by him in each section?

95%, 80%, 70%, 80%

95%, 85%, 75%, 85%

90%, 80%, 70%, 80%

95%, 85%, 70%, 85%

#### SOLUTION

Solution :C

Percentage marks scored in Aptitude

=4550×100= 90%

Percentage marks scored in General Mathematics

=4050×100=80%

Percentage marks scored in General Awareness

=3550×100=70%

Percentage marks scored in English

=4050×100=80%

### Question 4

The cost price of a pen is ₹ 12. But the shopkeeper sold it for ₹ 18. What is the percentage of profit obtained by the shopkeeper?

25%

50%

75%

65%

#### SOLUTION

Solution :B

Profit = S.P - C.P = 18 - 12 = ₹ 6

Profit percentage

=ProfitC.P× 100

=612 × 100 = 50%

### Question 5

Amita has 12 marbles and Reeta has 8 marbles. Reeta says that she has x/y times the marbles that Amita has, where x and y are co-prime numbers.

Then x + y =

#### SOLUTION

Solution :Since 8 = 23 × 12

Reeta has 23 times the marbles that Amita has

Therefore, x + y = 2 + 3 = 5

### Question 6

A survey shows that out of 40 students in a class, 30 students like studying Mathematics. That means

#### SOLUTION

Solution :Percentage of students who like studying mathematics = no of students who like mathstotal no of students × 100 = 3040 x 100 = 75%

### Question 7

Aju read a fact that bronze contains 88% copper and 12% tin. So, there will be

#### SOLUTION

Solution :Given that 88% of bronze is copper.

88gms of copper is present in 100gms bronze.

Therefore, in 200gms bronze;

weight of copper = 2 × 88 = 176gms

### Question 8

Mahibur paid an interest of Rs. 750 for 2 years on a sum of Rs. 4500 on simple interest. If the rate of interest is x13% p.a, then 'x' is

#### SOLUTION

Solution :Simple Interest = PRT100

Principle, P = 4500.

Rate of Interest, R = x13.

Time, T = 2.750 = 4500×R×2100

R = 253

R = 813

Hence, x = 8.

### Question 9

Are the ratios 2:5 and 10:15 equivalent? (Yes/No)

#### SOLUTION

Solution :Here, we have to check whether 25 is equal to 1015

If 25 = 1015; By cross-multiplication, we get 30 = 50. This is not true.

Therefore, ratios 2:5 and 10:15 not equivalent.

### Question 10

We can compare any two quantities. (True/False)?

True

False

#### SOLUTION

Solution :B

We can compare only two similar quantities.