IBPS PO Prelims Quantitative Aptitude Questions 2019 (Day-16)
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Directions (1 – 5): Study the following information carefully and answer the questions given below.
The given table shows the number of employee works in different departments in different companies.
The average number of employees in IT department in all the companies together is approximately what percent of the average Marketing department in all the companies together?
Correct
Answer: b)
IT department employees = (340 + 225 + 270 + 180 + 240)/5 = 1255/5 = 251
A train crosses 200 m long platform in 15 seconds and also it crosses a man running same direction at the speed of 15kmph in 4 seconds. Find the length of train.
Correct
Answer: e)
Let Length of train = x
Speed of train = y
200 + x = y * 5/18 * 15
1200 + 6x = 25y ———-(1)
x = (y â€“ 15)* 5/18 * 4
9x = 10y â€“ 150
9x + 150 = 10y——–(2)
1200 + 6x = 25 * (9x + 150)/10
2400 + 12x = 45x + 750
33x = 1650
x = 50 m
Incorrect
Answer: e)
Let Length of train = x
Speed of train = y
200 + x = y * 5/18 * 15
1200 + 6x = 25y ———-(1)
x = (y â€“ 15)* 5/18 * 4
9x = 10y â€“ 150
9x + 150 = 10y——–(2)
1200 + 6x = 25 * (9x + 150)/10
2400 + 12x = 45x + 750
33x = 1650
x = 50 m
Question 7 of 10
7. Question
The ratio of the length to breadth of the rectangle is 4: 3 and the side of the square is 14 cm. If the perimeter of the square is equal to the perimeter of the rectangle, then what is the area of the rectangle?
Correct
Answer: d)
Perimeter of the rectangle = 14 * 4 = 56 cm
56 = 2 * (4x + 3x)
x = 4
Length of the rectangle = 4 * 4 = 16 cm
Breadth of the rectangle = 3 * 4 = 12 cm
Area of the rectangle = 16 * 12 = 192 cm^{2}
Incorrect
Answer: d)
Perimeter of the rectangle = 14 * 4 = 56 cm
56 = 2 * (4x + 3x)
x = 4
Length of the rectangle = 4 * 4 = 16 cm
Breadth of the rectangle = 3 * 4 = 12 cm
Area of the rectangle = 16 * 12 = 192 cm^{2}
Question 8 of 10
8. Question
Ratio of the number of male to female employees in the company is 3: 4. If the number of male and female employees increased by 42 and 36 respectively, then the ratio of the number of male to female of the company becomes 4: 5. What is the initial number of male employees in the company?
Correct
Answer: a)
(3x + 42)/(4x + 36) = 4/5
16x + 144 = 15x + 210
x = 66
Number of male employees = 3 * 66 = 198
Incorrect
Answer: a)
(3x + 42)/(4x + 36) = 4/5
16x + 144 = 15x + 210
x = 66
Number of male employees = 3 * 66 = 198
Question 9 of 10
9. Question
Rahul invests Rs.5000 in simple interest scheme at the rate of x% per annum for 5 years and Sam invests same amount in another simple interest scheme at the rate of (x + 5)% per annum for 3 years. If the difference between the interest received by Sam and Rahul is Rs.250, then find the value of x.
Correct
Answer: c)
SI = P * N * R/100
5000 * 5 * x/100 â€“ 5000 * (x + 5) * 3/100 = 250
250x â€“ 150x â€“ 750 = 250
100x = 1000
x = 10%
Incorrect
Answer: c)
SI = P * N * R/100
5000 * 5 * x/100 â€“ 5000 * (x + 5) * 3/100 = 250
250x â€“ 150x â€“ 750 = 250
100x = 1000
x = 10%
Question 10 of 10
10. Question
A, B and C complete a work in 8 days, 24 days and 12 days respectively. A and B started together and C joined them 2 days before the completion of the work. In how many days the work will be completed?
Correct
Answer: d)
x/8 + x/24 + 2/12 = 1
(3x + x)/24 = 5/6
x/6 = 5/6
x = 5 days
Incorrect
Answer: d)
x/8 + x/24 + 2/12 = 1
(3x + x)/24 = 5/6
x/6 = 5/6
x = 5 days
Data Interpretation
Directions (1 – 5): Study the following information carefully and answer the questions given below.
The given table shows the number of employee works in different departments in different companies.
1) What is the difference between the number of employee works in Sales and Finance departments in A, C and E together?
a) 50
b) 60
c) 70
d) 80
e) 40
2) What is the ratio of the number of employees in B to D in all the departments together?
a) 227: 219
b) 223: 210
c) 217: 205
d) 227: 210
e) None of these
3) The average number of employees in IT department in all the companies together is approximately what percent of the average Marketing department in all the companies together?
a) 103%
b) 107%
c) 111%
d) 113%
e) 99%
4) What is the difference between the total number of HR employees and Sales department employees in all the companies together?
6) A train crosses 200 m long platform in 15 seconds and also it crosses a man running same direction at the speed of 15kmph in 4 seconds. Find the length of train.
a) 100 m
b) 150 m
c) 200 m
d) 250 m
e) None of these
7) The ratio of the length to breadth of the rectangle is 4: 3 and the side of the square is 14 cm. If the perimeter of the square is equal to the perimeter of the rectangle, then what is the area of the rectangle?
a) 132 cm^{2}
b) 144 cm^{2}
c) 178 cm^{2}
d) 192 cm^{2}
e) None of these
8) Ratio of the number of male to female employees in the company is 3: 4. If the number of male and female employees increased by 42 and 36 respectively, then the ratio of the number of male to female of the company becomes 4: 5. What is the initial number of male employees in the company?
a) 198
b) 177
c) 168
d) 186
e) None of these
9) Rahul invests Rs.5000 in simple interest scheme at the rate of x% per annum for 5 years and Sam invests same amount in another simple interest scheme at the rate of (x + 5)% per annum for 3 years. If the difference between the interest received by Sam and Rahul is Rs.250, then find the value of x.
a) 5%
b) 8%
c) 10%
d) 15%
e) None of these
10) A, B and C complete a work in 8 days, 24 days and 12 days respectively. A and B started together and C joined them 2 days before the completion of the work. In how many days the work will be completed?
a) 7 days
b) 8 days
c) 6 days
d) 5 days
e) None of these
Answers :
Directions (1-5) :
1) Answer: c)
Number of sales employees in A, C and E = 280 + 250 + 120 = 650
Number of finance department employees in A, C and E = 200 + 360 + 160 = 720