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ARITHMETIC MCQs

Total Questions : 147 | Page 2 of 15 pages
Question 11. In a school, 40% of the students draw and paint. 40% of those who draw do not paint. If the students do one of the two, then what % of students paint?
  1.    70
  2.    82.3
  3.    73.33
  4.    50.54
 Discuss Question
Answer: Option C. -> 73.33
:
C
If we assume the total number of students=100, then
the number of students who both draw and paint= 40
Also, let the number of students who draw=x; then
the number of students who only draw= 0.4x
In A School, 40% Of The Students Draw And Paint. 40% Of Thos...
Thus, 0.4x+40=x => x= 66.66
Therefore, number of students who paint= 40+(100-66.66)= 73.33. Answer is option (c)
Question 12. A man purchased 40 kg of cotton at a rate of Rs 65 per kg. then he extracted  20%  waste(by weight) from it so that the quality of the cotton improved and he was able to sell them at Rs.80 per kg. Also the waste had  60%   cotton seed by weight which he was able to sell Rs.20 per kg. what  %  profit did he make?
  1.    8.65%
  2.    1.24%
  3.    1.47%
  4.    2.15%
 Discuss Question
Answer: Option D. -> 2.15%
:
D
wt = 40 kg
cost = Rs.65/kg
Total cost =40×65
= Rs 2600
SP
wt after 20% is extracted
32 kg
Selling cost = 32 × 80
= Rs 2560
60% of waste =60100×8=4.8kg
selling price =4.8×20
= 96
Total price = 2656
Profit =562600×100=2.15%
Question 13. Fresh grapes contain  90%  water by weight and dry grapes contain  20%   water by weight. The weight of dry grapes obtained from 20 kg of fresh grapes is (in kg., in decimal, up to 2 decimal places) ___
 Discuss Question

:
20 kg 10% (non water content) = 2kg
2 = 80% (non water content dry grapes)
wt = 2.50 kg
Question 14. Answer the questions based on the information given below:
Out of 210 accidents that occurred on the DND Flyway, 50 resulted in Head Injury, 105 in Chest Injury and 56 in Limb Injury. 32 suffered both Head and Chest Injury, 30 suffered both Head and Limb Injury and 45 suffered both Limb and Chest Injuries. 
The number of people having no injuries is ___.
 Discuss Question

:
All the people were involved in atleast one accident. Hence, 123
Question 15. In a music school, three instruments are taught: Tabla, Violin and Guitar. Out of 278 students in the school, 20 learn Tabla and Violin, 23 learn Violin and Guitar and 21 learn Tabla and Guitar. 9 students learn all three instruments. It is known that the equal number of seats in all three instruments classes. (If a student is learning Guitar as well as Tabla, then he occupies two seats: one in Tabla class and one in Guitar class) 
Determine the number of students who have occupied only one seat.
  1.    232
  2.    212
  3.    200
  4.    197
  5.    230
 Discuss Question
Answer: Option A. -> 232
:
A
In A Music School, Three Instruments Are Taught: Tabla, Viol...
No. of students who have occupied only one seat = x + y + z + 14 + 12 + 11 + 9 = 278
=> x + y + z =278-46= 232.
Hence option (a)
Question 16. Out of 210 accidents that occurred on the DND Flyway, 50 resulted in Head Injury, 105 in Chest Injury and 56 in Limb Injury. 32 suffered both Head and Chest Injury, 30 suffered both Head and Limb Injury and 45 suffered both Limb and Chest Injuries.  
The minimum number of people who suffered all the three injuries is ___.
 Discuss Question

:
Number of people who suffered all the injuries is x
123= 55+72+65-23-26-28+x
x=8
Question 17. In a music school, three instruments are taught: Tabla, Violin and Guitar. Out of 278 students in the school, 20 learn Tabla and Violin, 23 learn Violin and Guitar and 21 learn Tabla and Guitar. 9 students learn all three instruments. It is known that equal number of seats in all three instrument classes. (If a student is learning Guitar as well as Tabla, then he occupies two seats: one in Tabla Class and one in Guitar Class)
Determine the number of students who have occupied seats in Tabla and Violin Class but not in Guitar Class.
  1.    9
  2.    11
  3.    13
  4.    7
  5.    15
 Discuss Question
Answer: Option B. -> 11
:
B
Going by the information given in the question, we get the three sets venndiagram as:
In A Music School, Three Instruments Are Taught: Tabla, Viol...
Hence, no. of students who have occupied the seat in
Tabla and Violin Class, but not in Guitar Class = 20 – 9 = 11. Hence option (b)
Question 18.  Find the maximum number of people who suffered at least one injury.
  1.    141
  2.    153
  3.    156
  4.    134
  5.    none of these
 Discuss Question
Answer: Option D. -> 134
:
D
Option (d)
Question 19. In an examination, it was found that every student has failed in at least one subject out of the three subjects: English, Maths and Science. 28 students failed in English, 30 students failed in Maths and 32 students failed in Science. 6 students failed in English and Maths, 8 students failed in Maths and Science and 10 students failed in English and Science. The number of students who failed in only one subject is 54. Also, 20 students failed only in Maths. 
The number of students who failed in English and Science but not Maths is ___.
 Discuss Question

:
No. of students who failed only in Maths= 20 (Given)
According to condition given,
Students who failed in Maths and English only + Students who failed in Science and Maths only + Students who failed in all three papers= 30-20= 10.
Therefore, 6+8-x=10 (x being the number of students who failed in all three subjects)
Solving the above equation gives x=4
Student who failed in:-
All three subjects=4
Maths and English only=2
Maths and Science only=4
Science and English only=6
English only=16
Science only=18
Question 20.  In an examination, 38% of students failed in Science and 33% failed in Maths while 19% failed in both the subjects. If the number of students who passed in only Science is 700, then determine the total number of students who appeared in the examination.
  1.    500
  2.    350
  3.    5000
  4.    3500
  5.    1400
 Discuss Question
Answer: Option C. -> 5000
:
C
Soln:
 In An Examination, 38% Of Students Failed In Science And 3...
So, the % of students failed in at least one subject = 19 + 19 + 14 = 52 %
So, the % of students who didn’t fail even in one subject = 100 – 52 = 48%
% of students failed in Science = 38%
% of students who passed in Science = 100 – 38 = 62%
% of students failed in Maths = 33%
% of students who passed in Mathematics = 100 – 33 = 67%
Now, consider the % of students who passed:
 In An Examination, 38% Of Students Failed In Science And 3...
So, as we see from the Venn diagram, % of students passed in only Science = 14%.
If the total no. of students who appeared = x, then .14x = 700 x = 5000.
Hence option (c)

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