Exams > Cat > Quantitaitve Aptitude
ARITHMETIC MCQs
Total Questions : 147
| Page 2 of 15 pages
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
Thus, 0.4x+40=x => x= 66.66
Therefore, number of students who paint= 40+(100-66.66)= 73.33. Answer is option (c)
:
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
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?
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%
:
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%
:
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 ___.
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 ___.
:
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.
Determine the number of students who have occupied only one seat.
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 ___.
The minimum number of people who suffered all the three injuries is ___.
:
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.
Determine the number of students who have occupied seats in Tabla and Violin Class but not in Guitar Class.
Answer: Option D. -> 134
:
D
Option (d)
:
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 ___.
The number of students who failed in English and Science but not Maths is ___.
:
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
Answer: Option C. -> 5000
:
C
Soln:
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:
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)
:
C
Soln:
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:
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)