Comparing Quantities(7th Grade > Mathematics ) Questions and answers for exam Preparation

7th Grade > Mathematics

COMPARING QUANTITIES MCQs

Total Questions : 120 | Page 8 of 12 pages

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

Discuss Question

Answer: Option B. -> 250km × 200km
:
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 72.

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?

Ram, 90%
Anita, 89%
Ram, 9%
Anita, 99%

Discuss Question

Answer: Option A. -> Ram, 90%
:
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
= $\frac{90}{100}$
We know, percentages are numerators of fractions with denominator 100.

$∴$ Percentage of Ram's marks = 90%

Question 73.

$I n a n e n t r a n c e e x a m t h e r e w e r e f o u r s e c t i o n s e a c h o f 50 m a r k s . M a r k s s e c u r e d b y S a t y a m i n e a c h s e c t i o n i s s h o w n b e l o w$ $\begin{matrix} S u b j e c t & A p t i t u d e & G e n e r a l M a t h e m a t i c s & G e n e r a l A w a r e n e s s & E n g l i s h M a r k s & 45 & 40 & 35 & 40 \end{matrix}$

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%

Discuss Question

Answer: Option C. -> 90%, 80%, 70%, 80%
:
C
Percentage marks scored in Aptitude

= \frac{45}{50} \times 100 = 90

%
Percentage marks scored in General Mathematics

= \frac{40}{50} \times 100 = 80

%
Percentage marks scored in General Awareness

= \frac{35}{50} \times 100 = 70

%
Percentage marks scored in English

= \frac{40}{50} \times 100 = 80

Question 74.

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

Discuss Question

Answer: Option C. -> 90%, 80%, 70%, 80%
:

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 75.

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

Discuss Question

Answer: Option C. -> 90%, 80%, 70%, 80%
:

Percentage of students who like studying mathematics = $\frac{n o o f s t u d e n t s w h o l i k e m a t h s}{t o t a l n o o f s t u d e n t s}$ $\times$ 100 = $\frac{30}{40}$ x 100 = 75%

Question 76.

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 =

___

Discuss Question

Answer: Option C. -> 90%, 80%, 70%, 80%
:

Since 8 = $\frac{2}{3}$ × 12

Reeta has $\frac{2}{3}$ times the marbles that Amita has

Therefore, x + y = 2 + 3 = 5

Question 77.

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?

Discuss Question

Answer: Option B. -> 50%
:
B

Profit = S.P - C.P = 18 - 12 = ₹ 6

Profit percentage
$= \frac{P r o f i t}{C . P} \times 100$
$= \frac{6}{12}$ × 100 = 50%

Question 78.

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 $x \frac{1}{3}$ % p.a, then ' $x$ ' is ___.