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Question 1 of 10

1. Question

1 points

Category: Quantitative Aptitude

The difference between downstream speed and upstream speed of the boat is 8 km/hr and boat travels 48 km from P to Q (upstream) in 6 hours. Then find the speed of the boat in still water?

Correct

Answer: 3) 12km/hr
Explanation:
Let the speed of boat in still water be x km/hr
And that of stream be y km/hr
ATQ,
(x+y)-(x-y) = 8
2y = 8
y = 4 km/hr
Upstream speed(x-y) = 48/6
(x-y) = 8
x-4 = 8
x = 12 km/hr

Incorrect

Answer: 3) 12km/hr
Explanation:
Let the speed of boat in still water be x km/hr
And that of stream be y km/hr
ATQ,
(x+y)-(x-y) = 8
2y = 8
y = 4 km/hr
Upstream speed(x-y) = 48/6
(x-y) = 8
x-4 = 8
x = 12 km/hr

Question 2 of 10

2. Question

1 points

Category: Quantitative Aptitude

In a vessel, there are two types of liquids A and B in the ratio of 4: 3. 21 litres of the mixture is taken out and 8 litres of type A liquid is poured into it, the new ratio (A: B) thus formed is 3:2. Find the final quantity of mixture in the vessel?

Correct

Answer: 3) 120 litres
Explanation:
Let the initial quantity of mixture in the vessel be x litres
ATQ,
(x*4/7 – 12+8)/(x*3/7 – 9) = 3/2
(4x – 28)/(3x – 63) = 3/2
8x-56 = 9x – 189
x = 133
Final quantity = 133-21+8
Final quantity = 120 litres

Incorrect

Answer: 3) 120 litres
Explanation:
Let the initial quantity of mixture in the vessel be x litres
ATQ,
(x*4/7 – 12+8)/(x*3/7 – 9) = 3/2
(4x – 28)/(3x – 63) = 3/2
8x-56 = 9x – 189
x = 133
Final quantity = 133-21+8
Final quantity = 120 litres

Question 3 of 10

3. Question

1 points

Category: Quantitative Aptitude

The average age of 12 students in a group is 16.75 years. When a new student joined them, the average age is decreased by 0.75 years. Then find the age of the new student.

Correct

Answer: 2) 7 years
Explanation:
Age of new student = 13*(16.75 – .75) – 12*16.75 = 7 years

Incorrect

Answer: 2) 7 years
Explanation:
Age of new student = 13*(16.75 – .75) – 12*16.75 = 7 years

Question 4 of 10

4. Question

1 points

Category: Quantitative Aptitude

A person has purchased two adjacent plots, one is rectangular and other is square and combined them to make a single new plot. The breadth of the rectangular plot is equal to the side of the square plot and the cost of ploughing the new plot is Rs. 576 (Rs. 8/m2). Find the side of the square if the length of the rectangular plot is 14 m.

Correct

Answer: 4) 4m
Explanation:

Let the breadth of rectangular plot be x m and length = 14 m
ATQ,
Area of new plot
x*(14+x) = 576/8
x*(14+x) = 72m2
x2+14x-72 = 0
x2+18x-4x-72 = 0
x(x+18)-4(x+18) = 0
(x-4)*(x+18) = 0
x = -18, 4 (but side of square cannot be –ve)
Therefore, side of square = 4m

Incorrect

Answer: 4) 4m
Explanation:

Let the breadth of rectangular plot be x m and length = 14 m
ATQ,
Area of new plot
x*(14+x) = 576/8
x*(14+x) = 72m2
x2+14x-72 = 0
x2+18x-4x-72 = 0
x(x+18)-4(x+18) = 0
(x-4)*(x+18) = 0
x = -18, 4 (but side of square cannot be –ve)
Therefore, side of square = 4m

Question 5 of 10

5. Question

1 points

Category: Quantitative Aptitude

A shopkeeper marked his article 40% above the cost price and gives a discount of 10% on it. If he had marked his article 55% above the cost price and gives a discount of 15% on it then find the earlier profit is approximately what percent of the profit earned latter?

Correct

Answer: 2) 82%
Explanation:
Let the CP be Rs. 100x
Then, MP = Rs. 140x
SP = 140x*(90/100) = 126x
Profit = 126x-100x = 26x
New MP = Rs. 155x
New SP = 155x*(85/100) = 131.75x
Profit = 131.75x-100x = 31.75x
Required % = (26x/31.75x)*100 = 81.88% = 82% (approx)

Incorrect

Answer: 2) 82%
Explanation:
Let the CP be Rs. 100x
Then, MP = Rs. 140x
SP = 140x*(90/100) = 126x
Profit = 126x-100x = 26x
New MP = Rs. 155x
New SP = 155x*(85/100) = 131.75x
Profit = 131.75x-100x = 31.75x
Required % = (26x/31.75x)*100 = 81.88% = 82% (approx)

Question 6 of 10

6. Question

1 points

Category: Quantitative Aptitude

Directions: (6-10) There are total five departments in a company. There are total 160 employees in customer care department which is 20% of total employees in the company. 5/16 of the total employees of the company are working in the marketing department. Employees working in the digital department are 20% less than that in the marketing department. The ratio between employees working in the hardware department and software department is 11:8.

The number of employees working in the Hardware department in what percent less than the number of employees working in the digital department?

Overall Explanation:
Let the total employees in the company be 100x
ATQ,
(20/100)*100x = 160
100x =800
Employees working in marketing department = (5/16)*800 = 250
Employees working in digital department = (80/100)*250 = 200
Remaining employees = 800-160-250-200 = 190
Employees working in hardware department = (11/19)*190 = 110
Employees working in software department = (8/19)*190 = 80

Overall Explanation:
Let the total employees in the company be 100x
ATQ,
(20/100)*100x = 160
100x =800
Employees working in marketing department = (5/16)*800 = 250
Employees working in digital department = (80/100)*250 = 200
Remaining employees = 800-160-250-200 = 190
Employees working in hardware department = (11/19)*190 = 110
Employees working in software department = (8/19)*190 = 80

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

Directions: (6-10) There are total five departments in a company. There are total 160 employees in customer care department which is 20% of total employees in the company. 5/16 of the total employees of the company are working in the marketing department. Employees working in the digital department are 20% less than that in the marketing department. The ratio between employees working in the hardware department and software department is 11:8.

Find the average number of employees working in marketing and hardware department?

Directions: (6-10) There are total five departments in a company. There are total 160 employees in customer care department which is 20% of total employees in the company. 5/16 of the total employees of the company are working in the marketing department. Employees working in the digital department are 20% less than that in the marketing department. The ratio between employees working in the hardware department and software department is 11:8.

The number of employees in the customer care department is how much less than the number of employees in the marketing department?

Directions: (6-10) There are total five departments in a company. There are total 160 employees in customer care department which is 20% of total employees in the company. 5/16 of the total employees of the company are working in the marketing department. Employees working in the digital department are 20% less than that in the marketing department. The ratio between employees working in the hardware department and software department is 11:8.

In the digital department, 30% of the employees are married and in the software department 85% of the employees are unmarried then find the total number of married employees in digital and software department?

Correct

Answer: 1) 72
Explanation:
Married employees in digital department = (30/100)*200 = 60
Married employees in software department = (15/100)*80 = 12
The total number of married employees in digital and software department = 60+12 = 72

Incorrect

Answer: 1) 72
Explanation:
Married employees in digital department = (30/100)*200 = 60
Married employees in software department = (15/100)*80 = 12
The total number of married employees in digital and software department = 60+12 = 72

Question 10 of 10

10. Question

1 points

Category: Quantitative Aptitude

Directions: (6-10) There are total five departments in a company. There are total 160 employees in customer care department which is 20% of total employees in the company. 5/16 of the total employees of the company are working in the marketing department. Employees working in the digital department are 20% less than that in the marketing department. The ratio between employees working in the hardware department and software department is 11:8.

The ratio between the total number of male and female employees in the marketing department is 7:3. Find the total number of male employees working in the marketing department?

Correct

Answer: 2) 75
Explanation:
Total number of male employees working in marketing department = (3/10)*250 = 75

Incorrect

Answer: 2) 75
Explanation:
Total number of male employees working in marketing department = (3/10)*250 = 75

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