Quantitative Aptitude - Online Test

Q1. Directions: Read the following information carefully and answer the questions given below:
In a hospital, there are 200 employees working in two departments: Neurology and Cancer center. Each employee from each department knows one or more languages out of English, Hindi and Tamil. 45% of the employees belong to Neurology and the remaining employees belong to Cancer center.
Out of the employees in Neurology, doctors and nurses are in the ratio of 5:4. Out of the doctors in neurology, 16% know only English, 10% know only Hindi and 4% know only Tamil. 24% know English as well as Hindi, 20% know English as well as Tamil and 14% know Hindi as well as Tamil. The remaining doctors know all the three languages. Out of the nurses in neurology, 20% know only English, 10% know only Hindi and 10% know only Tamil. 20% know English as well as Hindi, 20% know English as well as Tamil and 10% know Hindi as well as Tamil. The remaining nurses know all the three languages.
Out of the employees in cancer center, doctor and nurse are in the ratio of 5:6. Out of the doctors in cancer center, 20% know only English, 16% know only Hindi and 4% know only Tamil. 18% know English as well as Hindi, 24% know English as well as Tamil, and 10% know Hindi as well as Tamil. The remaining doctors know all three languages. Out of the nurses in cancer center, 15% know only English, 15% know only Hindi and 5% know only Tamil. 20% know English as well as Hindi, 20% know English as well as Tamil, and 15% know Hindi as well as Tamil. The remaining nurses know all three languages.
How many employees working in neurology know only either English or Hindi?
Explaination / Solution:

Total employees = 200

NEUROLOGY

CANCER CENTER

Employees working in neurology know only English = 8 + 8 = 16
Employees working in neurology know only Hindi = 5 + 4 = 9
∴Employees working in neurology know only either English or Hindi = 16 + 9 = 25

Q2. Directions: Read the following information carefully and answer the questions given below:
In a hospital, there are 200 employees working in two departments: Neurology and Cancer center. Each employee from each department knows one or more languages out of English, Hindi and Tamil. 45% of the employees belong to Neurology and the remaining employees belong to Cancer center.
Out of the employees in Neurology, doctors and nurses are in the ratio of 5:4. Out of the doctors in neurology, 16% know only English, 10% know only Hindi and 4% know only Tamil. 24% know English as well as Hindi, 20% know English as well as Tamil and 14% know Hindi as well as Tamil. The remaining doctors know all the three languages. Out of the nurses in neurology, 20% know only English, 10% know only Hindi and 10% know only Tamil. 20% know English as well as Hindi, 20% know English as well as Tamil and 10% know Hindi as well as Tamil. The remaining nurses know all the three languages.
Out of the employees in cancer center, doctor and nurse are in the ratio of 5:6. Out of the doctors in cancer center, 20% know only English, 16% know only Hindi and 4% know only Tamil. 18% know English as well as Hindi, 24% know English as well as Tamil, and 10% know Hindi as well as Tamil. The remaining doctors know all three languages. Out of the nurses in cancer center, 15% know only English, 15% know only Hindi and 5% know only Tamil. 20% know English as well as Hindi, 20% know English as well as Tamil, and 15% know Hindi as well as Tamil. The remaining nurses know all three languages.
How many employees of the hospital know all three languages?
Explaination / Solution:

Total employees = 200

NEUROLOGY

CANCER CENTER
Employees of the hospital know all three languages = 10 + 10 = 20

Q3. Directions: Read the following information carefully and answer the questions given below:
In a hospital, there are 200 employees working in two departments: Neurology and Cancer center. Each employee from each department knows one or more languages out of English, Hindi and Tamil. 45% of the employees belong to Neurology and the remaining employees belong to Cancer center.
Out of the employees in Neurology, doctors and nurses are in the ratio of 5:4. Out of the doctors in neurology, 16% know only English, 10% know only Hindi and 4% know only Tamil. 24% know English as well as Hindi, 20% know English as well as Tamil and 14% know Hindi as well as Tamil. The remaining doctors know all the three languages. Out of the nurses in neurology, 20% know only English, 10% know only Hindi and 10% know only Tamil. 20% know English as well as Hindi, 20% know English as well as Tamil and 10% know Hindi as well as Tamil. The remaining nurses know all the three languages.
Out of the employees in cancer center, doctor and nurse are in the ratio of 5:6. Out of the doctors in cancer center, 20% know only English, 16% know only Hindi and 4% know only Tamil. 18% know English as well as Hindi, 24% know English as well as Tamil, and 10% know Hindi as well as Tamil. The remaining doctors know all three languages. Out of the nurses in cancer center, 15% know only English, 15% know only Hindi and 5% know only Tamil. 20% know English as well as Hindi, 20% know English as well as Tamil, and 15% know Hindi as well as Tamil. The remaining nurses know all three languages.
What percent of the total no. of nurses in the hospital do not know Hindi?
Explaination / Solution:

Total employees = 200

NEUROLOGY

CANCER CENTER
Total no. of nurses in the hospital = 100
Number of Nurses who do not know Hindi = 8 + 4 + 8 + 9 + 3 + 12 =44
Required percentage = 44/100 × 100 = 44%

Q4. Directions: Read the following information carefully and answer the questions given below:
In a hospital, there are 200 employees working in two departments: Neurology and Cancer center. Each employee from each department knows one or more languages out of English, Hindi and Tamil. 45% of the employees belong to Neurology and the remaining employees belong to Cancer center.
Out of the employees in Neurology, doctors and nurses are in the ratio of 5:4. Out of the doctors in neurology, 16% know only English, 10% know only Hindi and 4% know only Tamil. 24% know English as well as Hindi, 20% know English as well as Tamil and 14% know Hindi as well as Tamil. The remaining doctors know all the three languages. Out of the nurses in neurology, 20% know only English, 10% know only Hindi and 10% know only Tamil. 20% know English as well as Hindi, 20% know English as well as Tamil and 10% know Hindi as well as Tamil. The remaining nurses know all the three languages.
Out of the employees in cancer center, doctor and nurse are in the ratio of 5:6. Out of the doctors in cancer center, 20% know only English, 16% know only Hindi and 4% know only Tamil. 18% know English as well as Hindi, 24% know English as well as Tamil, and 10% know Hindi as well as Tamil. The remaining doctors know all three languages. Out of the nurses in cancer center, 15% know only English, 15% know only Hindi and 5% know only Tamil. 20% know English as well as Hindi, 20% know English as well as Tamil, and 15% know Hindi as well as Tamil. The remaining nurses know all three languages.
In cancer center, employees who know Tamil is approximately what percentage of employees in cancer center who do not know Tamil?
Explaination / Solution:

Total employees = 200

NEUROLOGY

CANCER CENTER
In cancer center,
Employees who know Tamil = 2 + 3 + 5 + 9 + 12 + 12 + 4 + 6 = 53
Employees who do not know Tamil = 10 + 9 + 8 + 9 + 9 + 12 = 57
∴Required percentage = 53/57 × 100 = 92.98% ≈ 93%

Q5. Directions: Read the following information carefully and answer the questions given below:
In a hospital, there are 200 employees working in two departments: Neurology and Cancer center. Each employee from each department knows one or more languages out of English, Hindi and Tamil. 45% of the employees belong to Neurology and the remaining employees belong to Cancer center.
Out of the employees in Neurology, doctors and nurses are in the ratio of 5:4. Out of the doctors in neurology, 16% know only English, 10% know only Hindi and 4% know only Tamil. 24% know English as well as Hindi, 20% know English as well as Tamil and 14% know Hindi as well as Tamil. The remaining doctors know all the three languages. Out of the nurses in neurology, 20% know only English, 10% know only Hindi and 10% know only Tamil. 20% know English as well as Hindi, 20% know English as well as Tamil and 10% know Hindi as well as Tamil. The remaining nurses know all the three languages.
Out of the employees in cancer center, doctor and nurse are in the ratio of 5:6. Out of the doctors in cancer center, 20% know only English, 16% know only Hindi and 4% know only Tamil. 18% know English as well as Hindi, 24% know English as well as Tamil, and 10% know Hindi as well as Tamil. The remaining doctors know all three languages. Out of the nurses in cancer center, 15% know only English, 15% know only Hindi and 5% know only Tamil. 20% know English as well as Hindi, 20% know English as well as Tamil, and 15% know Hindi as well as Tamil. The remaining nurses know all three languages.
Out of the employees in cancer center, what is the ratio of the number of doctors knowing English to the number of nurses knowing Hindi?
Explaination / Solution:

Total employees = 200

NEUROLOGY

CANCER CENTER
In cancer center,
Number of doctors knowing English = 10 + 9 + 12 + 4 = 35
Number of nurses knowing Hindi = 9 + 12 + 9 + 6 = 36
Thus, the required ratio is 35: 36

Q6. Direction:There are five shoe companies: Puma, Nike, Adidas, Reebok and Bata. In the following line graphs, the first line graph shows the marked up price with respect to the cost price of the shoes and the second line graph shows the discount percentage given on the marked up price with the help of the given information answer the following questions.

What is the loss/gain percentage of Nike?
Explaination / Solution:

Let the cost price of Nike shoe be INR x
Marked up price of Nike shoe is 200% of the cost price
⇒M.P. = 200% of x
⇒M.P. = INR 2x
Discount given is 45% on the marked price
As we know, Selling price = M.P. – discount
⇒S.P. = 2x – 45% of 2x
⇒S.P. = 2x – 9x/10
⇒S.P. = INR 11x/10
Now, Gain = S.P. – C.P.
⇒Gain = 11x/10 – x (∵S.P. > C.P.)
⇒Gain = INR x/10
Gain % = ((x/10)x100=10%
Thus, there is a gain of 10% on Nike shoe

Q7. Direction:There are five shoe companies: Puma, Nike, Adidas, Reebok and Bata. In the following line graphs, the first line graph shows the marked up price with respect to the cost price of the shoes and the second line graph shows the discount percentage given on the marked up price with the help of the given information answer the following questions.

If the cost price of the Puma shoe and Adidas shoe is equal then the selling price of Puma shoe is how much % more than the selling price of Adidas shoe.
Explaination / Solution:

Let the cost price of Puma be INR x
Marked up price of Puma is 150% with respect to C.P. of Puma shoe
⇒M.P = 150% of x
⇒M.P. = INR 3x/2
Discount given is 25% on the marked price
As we know, Selling price = M.P. – discount
⇒S.P. = 3x/2 – 25% of 3x/2

⇒S.P. of Puma shoe = INR 9x/8 = INR 1.125x
According to given information:
The cost price of Adidas is also INR x
Marked up price of Adidas is 160% with respect to C.P. of Adidas shoe
⇒M.P = 160% of x
⇒M.P. = INR 8x/5
Discount given is 50% on the marked price
As we know, Selling price = M.P. – discount
⇒S.P. = 8x/5 – 50% of 8x/5
⇒S.P. = 4x/5
⇒S.P. of Adidas shoe =INR 0.8x
Profit=.325x
∴Required percentage = 0.325*100/.0.8= 40.625

Q8. Direction:There are five shoe companies: Puma, Nike, Adidas, Reebok and Bata. In the following line graphs, the first line graph shows the marked up price with respect to the cost price of the shoes and the second line graph shows the discount percentage given on the marked up price with the help of the given information answer the following questions.

If the cost price of Reebok is increased by 10% and other percentages (marked price /discount) remain same, then how much more percent loss company will get as compared to previous loss?
Explaination / Solution:

Let the previous C.P of Reebok shoe be INR 100
Marked up price of Reebok is 180% with respect to C.P. of Reebok shoe
⇒M.P = 180% of 100
⇒M.P. = INR 180
Discount given is 60% on the marked price
As we know, Selling price = M.P. – discount
⇒S.P. = 180 – 60% of 180
⇒S.P. = 180 – 108
⇒S.P. of Reebok shoe = INR 72
∴Loss = 100 – 72 = INR 28
Now, loss percentage = 28/100 × 100 = 28%
According to the given information:
If C.P. of Reebok shoe increase by 10%
Then, New C.P. = INR 110
Marked up price of Reebok is 180% with respect to C.P. of Reebok shoe
⇒M.P = 180% of 110
⇒New M.P. = INR 198
Discount given is 60% on the marked price
As we know, Selling price = M.P. – discount
⇒S.P. = 198 – 60% of 198
⇒ S.P. = 198 – 118.8
⇒ New S.P. of Reebok shoe = INR 79.2
∴ Loss = 110 – 79.2 = INR 30.8
Now, loss percentage = 30.8/110 × 100 = 28%
Thus, there is no increase in loss.

Q9. Direction:There are five shoe companies: Puma, Nike, Adidas, Reebok and Bata. In the following line graphs, the first line graph shows the marked up price with respect to the cost price of the shoes and the second line graph shows the discount percentage given on the marked up price with the help of the given information answer the following questions.

Which shoe company makes the highest profit, if the C.P. is INR 500 of each shoe?
Explaination / Solution:

C.P. of Puma shoe = INR 500
Marked up price of Puma shoe is 150% of the cost price
⇒M.P. = INR 750
Discount given is 25% on the marked price
⇒S.P. = 750 – 25% of 750
⇒S.P. = 750 – 187.5
⇒S.P. = INR 562.5
⇒Gain on Puma shoe = INR 62.5
C.P. of Nike shoe = INR 500
Marked up price of Nike shoe is 200% of the cost price
⇒M.P. = INR 1000
Discount given is 45% on the marked price
⇒S.P. = 1000 – 45% of 1000
⇒S.P. = 1000 – 450
⇒S.P. = INR 550
⇒Gain on Nike shoe = INR 50
C.P. of Adidas shoe = INR 500
Marked up price of Adidas shoe is 160% of the cost price
⇒M.P. = INR 800
Discount given is 50% on the marked price
⇒S.P. = 800 – 50% of 800
⇒S.P. = 800 – 400
⇒S.P. = INR 400
⇒Loss on Adidas shoe = INR 100
C.P. of Reebok shoe = INR 500
Marked up price of Reebok shoe is 180% of the cost price
⇒M.P. = INR 900
Discount given is 60% on the marked price
⇒ S.P. = 900 – 60% of 900
⇒ S.P. = 900 – 540
⇒S.P. = INR 360
⇒Loss on Reebok shoe = INR 140
C.P. of Bata shoe = INR 500
Marked up price of Bata shoe is 125% of the cost price
⇒M.P. = INR 625
Discount given is 10% on the marked price
⇒S.P. = 625 – 10% of 625
⇒S.P. = 625 – 62.5
⇒S.P. = INR 562.5
Now, Gain = 562.5 – 500
⇒ Gain on Bata shoe = INR 62.5
Hence, Bata and Puma made the highest gain.

Q10. Direction:There are five shoe companies: Puma, Nike, Adidas, Reebok and Bata. In the following line graphs, the first line graph shows the marked up price with respect to the cost price of the shoes and the second line graph shows the discount percentage given on the marked up price with the help of the given information answer the following questions.

If the profit of Nike and Bata shoe is same and C.P. of Bata is INR 400 then find the C.P of Nike shoe?
Explaination / Solution:

The cost price of Bata shoe be INR 400
Marked up price of Bata shoe is 125% of the cost price
⇒M.P. = 125% of 400
⇒M.P. = INR 500
Discount given is 10% on the marked price
As we know, Selling price = M.P. – discount
⇒S.P. = 500 – 10% of 500
⇒S.P. = 500 – 50
⇒S.P. = INR 450
Now, Gain = S.P. – C.P.
⇒Gain = 450 – 400 (∵ S.P. > C.P.)
⇒Gain = INR 50
According to the given information
Gain on Nike shoes is INR 50
Let the cost price of Nike shoe be INR x
Marked up price of Nike shoe is 200% of the cost price
⇒M.P. = INR 2x
Discount given is 45% on the marked price
⇒S.P. = 2x – 45% of 2x
⇒S.P. = 2x – 9x/10
⇒S.P. = INR 11x/10
∴ Gain = 11x/10 – x
⇒ Gain = INR x/10 = 50
⇒ x = 500
Hence, C.P. of Nike shoe is INR 500