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.