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7th Grade > Mathematics

FRACTIONS AND DECIMALS MCQs

Fractions, Decimals

Total Questions : 227 | Page 23 of 23 pages
Question 221.


The length of a cuboid is 0.3m. Its breadth and height is 0.03m and  0.003m respectively. The volume of the cuboid is given as the product of its length, breadth and height. The volume of cuboid is:


  1.      0.0027m3
  2.      2.7×105m3
  3.      2.7×104m3
  4.      0.000027m3
 Discuss Question
Answer: Option B. ->  2.7×105m3
:
B and D
Given, length = 0.3m
breadth = 0.03m
height = 0.003m
Volume = Length×Breadth×Height
Volume = 0.3×0.03×0.003m3
=0.000027m3
Question 222.


A bag contains 25 kg of rice at ₹ 20.04 per kg and 20 kg of dal at ₹ 15.28 per kg. What is the total cost of 5 such bags?


  1.     4033
  2.     4038.36
  3.     4038.92
  4.     4040.40
 Discuss Question
Answer: Option A. -> 4033
:
A

Cost of rice in one bag = 25×20.04
                                  = 501
Cost of dal in one bag = 20×15.28
                                 = 305.6
Total cost of one bag = 501 + 305.6
                                                     = 806.6
Cost of 5 such bags = 5×806.6
                                      = 4033


Question 223.


Convert the following fractions into decimals and find the sum of these decimals that rounded up to 2 decimal places.


 12, 52, 49, 520, 310, 7100, 1002, 10000010000000, 1248, 999, 525
Ans: ___


 Discuss Question
Answer: Option A. -> 4033
:

12=0.5


52=2.5


49=0.4444


520=0.25


310=0.3


7100=0.07


1002=50


10000010000000=0.01


1248=0.25


999=0.09090909


525=0.20


Sum = 54.615


When rounded up to two decimal place,


Then Sum = 54.62


Question 224.


On multiplying a decimal number by 100, we shift the decimal point  (i) ______  places to the  (ii) ______  and on dividing a decimal number by 100, we shift the decimal point,  (iii)_______  places to the  (iv) _______.


  1.     i) two ii) left iii) two iv) right
  2.     i) one ii) right iii) one iv) left
  3.     i) two ii) right iii) one iv) left
  4.     i) two ii) right iii) two iv) left
 Discuss Question
Answer: Option D. -> i) two ii) right iii) two iv) left
:
D

Let's take an example and visualize.


2.48×100=248.0 [Decimal point shifted two places to the right]


2480÷100=2480100=24.80 [Decimal point shifted two places to the left]


Question 225.


0.010.001+0.0010.01 equals ______.


  1.     10.101
  2.     100.1
  3.     10.01
  4.     10.1
 Discuss Question
Answer: Option D. -> 10.1
:
D

0.010.001=0.01×10.001=0.01×10001
         
         =10
0.0010.01=0.001×10.01=0.001×1001
         = 0.1


 0.010.001+0.0010.01 =10+0.1=10.1


Question 226.


Find the value of 722 correct up to 4 decimal places.


  1.     0.3183
  2.     0.3182
  3.     0.3180
  4.     0.1830
 Discuss Question
Answer: Option B. -> 0.3182
:
B

Find The Value Of 722 correct Up To 4 Decimal Places.


Now, the 5th decimal place is greater than 5. So, we add 1 to the previous digit, which gives 0.3182


Hence, the required answer is 0.3182.


Question 227.


4 kg of fruits are shared equally among 5 children. How many grams of fruits does each child get?


  1.     700 g
  2.     800 g
  3.     80 g
  4.     70 g
 Discuss Question
Answer: Option B. -> 800 g
:
B

Total weight of fruits = 4 kg
Total number of children among whom the fruits are to be shared equally = 5
Thus, the total quantity of fruits each child would get = 45 kg


= 45 ×1000 grams
=40005g


= 800 g


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