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ATOS Quantitative Aptitude model placement paper


• Amit and Vinit invested rupees 30,000 and 40,000 respectively in a business for one year. What shall be Vinit’s profit If they earned rupees 7,700 at the end of the year?

a. 4,400 rupees
b. 3,300 rupees
c. 3,800 rupees
d. 4,000 rupees

• What is the probability of a/b will be an integer when a=2x3y and b=2l3m and all of x, y, I, m are positive integers?

a. 1/6
b. 2/3
c. 1/2
d. 1/4
e. 3/4

• The value of y=(x2)/(x4+1) lines in which of the following inequality?

a. -1/2<=y<=1/2
b. 0c. 0d. –ae. 0<=y<=a

• What is the women’s age when the average age of a woman and her daughter is 16 years and the ratio of their ages in 7:1 respectively?

a. 28 years
b. 4 years
c. 6 years
d. 32 years
e. None of the above

• Anjali bought 5 pens, 7 books and 4 colours and Rajni bought 6 pens, 8 colours and 14 books for an amount which was half more than what Anjali had paid. How much percentage did Anjali pay just for the pens out of the total amount he paid for buying pens, books and colours?

a. 50%
b. 37.5%
c. 63.5%
d. None of the above

• What will be the equivalent discount of three successive discounts 10, 20 and 40%?

a. 56.8%
b. 50%
c. 60%
d. None of the above

• What effect in terms of percentage will be seen on a cylinder when the radius of the cylinder is increased by 30% and height decreased by 40%?

a. Increase by 1.4%
b. Decrease by 1.4%
c. Volume of the cylinder remains same
d. None of the above

• Answer the questions based on the following data:

If each digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 are represented by different letters A, B, C, D, E, F, G, H and I but may not be the same order as displayed above. Therefore each of A+B+C, C+D+E, E+F+G and G+H+I = 13, then

1. What shall be the sum of C+E+G?

a. 11
b. 7
c. 9
d. Cannot be determined

2. What will be the value of E?

a. 7
b. 4
c. 5
d. Cannot be determined

3. How many different sums of A, D, F and I will be possible?

a. 2
b. 4
c. 1 
d. Cannot be determined

• The total expense of a boarding house is partly fixed and partly variable with the number of boarders. What will be the charge of 100 boarders per head when the charges for 25 boarders are 70 rupees per head and for 50 boarders it is 60 rupees?

a. 55
b. 45
c. 65
d. 55

• Find the number if 2/3 of 1/7th of a number is 87.5% of 240?

a. 2205
b. 2670
c. 2450
d. 1470
e. None of the above

• Based on the information given below, answer the following questions:

The table below gives us the data received by conducting a survey on assessing the satisfaction levels of customers with televisions available in the market from various brands. 
Note: the indexes mentioned in the below given table are in form of percentages.



Base: is the number of features in a product, higher the number higher the features.

Experience Index: indicates overall good experience of the customers

Delight Index: indicates the experience more than good of the customers

Loyalty Index: recommendation to other customers by existing customers due to their good experience

Dissatisfaction Index: customers not satisfied and unhappy with the brand

1. Based on the survey, which brand has the maximum number of loyal customers who would recommend the brand to others as well?
a. E 
b. F 
c. A
d. D 
e. Cannot be determined

2. Which brand has the maximum indexes based on its quality when the quality is directly proportional to product of the base and experience of the customers of that particular brand?

a. H 
b. F 
c. E
d. C
e. A

3. Assuming that the customers use only one brand, how many number of consumers were dissatisfied with any of the brands mentioned above in the table?

a. 750
b. 720
c. 840
d. 740
e. 850

4. How much is the difference between Brand 1 and 5 in terms of sale, how low is brand 1 in terms of percentage?

a. 13.3%
b. 11.11%
c. 10%
d. 12.6%
e. Cannot be determined

• If a, b and c are in geometric progression (a, b, c>0) and log (5c/a), log(3b/5c) and log(a/3b) are in arithmetic progression then in that case a, b and c will be sides of:

a. Isosceles triangle
b. Acute angled triangle
c. Right angled triangle
d. Equilateral triangle
e. None of the above

• There are 2 printers installed to print some pages. If you have to find out how many pages will the printers print at 35°C when one printer’s work is directly proportional and the others printer work is inversely proportional to the temperature and the total work done at 15°C is 20 pages and that done on 20°C is 25 pages?

a. 40 pages
b. 41.2 pages
c. 40.7 pages
d. 43.2 pages
e. 39.7 pages

• Which will be that integer which is the largest and always divides n5-5n3+4n for all natural ‘n’?

a. 24
b. 30
c. 120
d. 40
e. 60

• Four Employees Nikita, Nisha, Naman and Ronak work with 4 different organisations Samsung, ICICI, Bank of America and Wipro with job titles as Risk Analyst, Business Consultant, Marketing Head and Project Leader and each draws varying salary ranging from 5 to 8 lakhs. The data mentioned may not necessary be in the same order. 

I. Nikita works in Samsung and earns less than the project leader.
II. Nikita is the risk analyst.
III. The marketing head is not working with Wipro.
IV. The business Consultant earns more than Ronak and Naman.
V. Nisha works with ICICI and earns more than the Risk Analyst.
VI. Naman does not work with Deutsche bank.

1. Based on the data given, what shall be the salary of Nisha?

a. 5
b. 7
c. 8
d. 6
e. Cannot be determined

2. Which of the following statements stand true based on the data given:

i. Naman is working with Wipro
ii. Nikita does not earn 7 Lakh rupees
iii. Ronak works with Bank of America
iv. Nisha is the business consultant

a. Only ii, iii and iv
b. Only ii and iv
c. Only i and ii
d. Only i and iv
e. All of the above

3. Who holds the designation of a project leader?

a. Nisha
b. Naman
c. Ronak
d. Nikita
e. Cannot be determined

• What will be the remainder of 11+22+33+..+1010/5?

a. 2
b. 4
c. 1
d. 3
e. 0

• Find the average of: (54,820)2 and (54,822) 2

a. (54,820.5) 2
b. (54,821) 2
c. (54,821) 2-1
d. (54,821.5) 2
e. (54,821) 2+1

• A monkey is climbing up a greased pole which is 64 meters long, on which the monkey ascends 10 meters and slips down 2 meters in alternate minutes. How long will the monkey to reach the top of the greased pole?

a. 18 minutes
b. 14 minutes
c. 16 minutes
d. 12 minutes
e. None of the above

• What shall be the weight of a watermelon that weighs 5000 gm and 99% of its weight is water. After drying the watermelon in drying room it is seen that 98% of its weight is still water.

a. 4500
b. 2450
c. 2500
d. 4851
e. None of the above

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