# Free Comparing Quantities 01 Practice Test - 7th grade

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?

A.

250m × 200m

B.

250km × 200km

C.

250cm × 200cm

D.

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

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?

A. Ram, 90%
B. Anita, 89%
C. Ram, 9%
D. Anita, 99%

#### 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%

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?

A.

95%, 80%, 70%, 80%

B.

95%, 85%, 75%, 85%

C.

90%, 80%, 70%, 80%

D.

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%

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?

A.

25%

B.

50%

C.

75%

D.

65%

#### SOLUTION

Solution : B

Profit = S.P - C.P = 18 - 12 = ₹ 6

Profit percentage

=ProfitC.P× 100

=612 × 100 = 50%

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

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

#### SOLUTION

Solution :

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

Aju read a fact that bronze contains 88% copper and 12% tin. So, there will be ___ gms of copper in 200gms of bronze.

#### 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

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.

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.

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

A.

True

B.

False

#### SOLUTION

Solution : B

We can compare only two similar quantities.