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Quant practice set 20 for SBI PO PRELIM 2020



SBI Clerk and SBI PO Prelims exam are going to be held in the upcoming months. We have already provided you with the PDFs of many topics of Quantitative Aptitude like Simplification/Approximation, Number Series,datainterpretation.important Arithmetic questions to prepare for SBI Clerk and PO Pre exam. Practicing these questions will help you to know about the level of the questions. To increase your speed and accuracy, enhance your calculations.

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                           START TEST

1. Two trains A and B cross the same platform in 18 and 24 seconds respectively. The ratio of length of trains
A and B is 8:7 and the ratio of their speeds is 3:2. Length of platform is what percent of the length of train A?
(a) 12.5% (b) 20% (c) 30%
(d) 15% (e) 12%

2. If sum of upstream and downstream speed of boat is 72 km/hr. and if the boat travels 105 km upstream in 3 hours 30 min. then find the time taken to travel 126 km downstream
(a) 3 hours (b) 3 hours 20 min
(c) 2 hours (d) 2 hours 32 min
(e) None of these

3.S.P. of 4 shoes is equal to the profit on selling 12 Sandals and loss on selling 12 shoesequals to the S.P. of 6 sandals. Cost of a shoes is equal to one-third of cost of a sandal.What is ratio of S.P. of a shoes to S.P. of a sandal given that profit % is equal to the loss% ?
1. 9 : 2
2. 7 : 2
3. 9 : 7
4. 2 : 9
5. 7 : 6

4.Time taken by boat to cover 164 km in upstream is 50% more than time taken by boatw while returning. Find the time taken by man to cover 100 km in still water if speed of man is equal to speed of boat in still water and speed of stream is 10 km/hr?
1. 4 hr
2. 6 hr
3. 5 hr
4. 2 hr
5. 3 hr

5..A number is divided into three parts in such a way that, 60% of first part is 9 less than the 60% of second part and 40% of second part is 16 more than the 40% of third part. Find the difference between first part and third part?
a)15
b)20
c) 25
d)Data inadequate
e)30

(6 - 10)
There are 1200 employees in two different companies A and B and each company have two different departments – IT and HR. Total number of employees in company A is 500. 115 IT department employees from company B is female. The number of female employees from company B in HR department is 25% less than the number of female employees from A in IT department and 30 more than number of male employees from company A in HR department. Ratio of the number of male employees from company A in IT department to the number of female employees from A in HR department is 1: 2. Ratio of the number of male employees from B in IT department to the number of female employees from B in HR department is 5: 4. The number of male employees from B in HR department is 207.

6.What is the ratio of male person from HR department in company A to the male person from IT department in company B?
a) 26: 47
b) 23: 45
c) 23: 35
d) 47: 98
e) None of these

7.
What is the average of total number of male person from company A and B?

a) 300.50

b) 275.75

c) 325.25

d) 400.25

e) 335.50

9) If 50% of Female people only from HR department on both the companies are went for team lunch, what is the difference between all the male person in the IT department and the persons went for team lunch?

a) 116

b) 126

c) 135

d) 156

e) 188

10) If 66.66% of Male person from HR department are getting salary hike on 2020, then what is the sum of female person from both the department and the person who got salary hike in HR department?

a) 729

b) 839

c) 779

d) 629

e) 829

(10)A bag A contains some quantity of sugar bag B contains 80 kg of salt. 20% of sugar from A is taken out and mixed with same quantity of salt from bag B. If the remaining quantity of salt in bag B is 70% of its actual
quantity, then what is the initial quantity of sugar in bag A?
a)120 kg
b)150 kg
c) 100 kg
d)90 kg
e)None of these

SOLUTION:

1.Let length of platform = t meters
Length of train A and train B is 8x and 7x
respectively.
Speed of train A and train B is 3y and 2y
respectively.
∴(t+ 8π‘₯/18)/(𝑑 + 7π‘₯/24)
= 3y/2y
⇒ π‘₯ = 𝑑
Required percentage π‘₯/8π‘₯× 100 = 12.5%

2. Let speed of boat in still water = x km/hr
And speed of current = y km/hr
ATQ,
x – y + x + y = 72
2x = 72
x = 36 km/hr
π‘Žπ‘›π‘‘ π‘₯– 𝑦 =
105/3.5
= 30 π‘˜π‘š⁄β„Žπ‘Ÿ
y = 6 km/hr
Downstream = x + y = 42 km/hr
𝑋 + 𝑦 =126/t
𝑑 =126/42= 3 β„Žπ‘œπ‘’π‘Ÿπ‘ .

3.








4.






5.
Let the three parts of the number are 'x', 'y' and 'z'
respectively.
Given that,
60% of x = (60% of y) - 9
3x/5 = (3y/5) - 9 ........... (1)
Also given that,
40% of y = (40% of z) + 16
2y/5 = (2z/5) + 16
2y = 2z + 80
y = z + 40 ............... (2)
From (1) and (2):
3x/5 = [3(z + 40)/5] - 9
3x = 3z + 120 - 45
3x = 3z + 75
x - z = 25
Difference between the first part and third part = 25


( 6 - 10 )


Number of female employee from A in IT department = x
Number of female employees from B in HR department = x * 75/100 = 3x/4
Number of male employees from A in HR department = 3x/4 – 30
Number of male employees from B in IT department = 5/4 * 3x/4 = 15x/16
Total number of employees = 1200,
Total number of employee in Company A = 500
Total number of employee in Company B
= Total number of employees – Total number of employee in Company A
= 1200 – 500 = 700
Number of female employees from company B from IT department = 115
The number of male employees from B in HR department = 207
15x/16 + 115 + 207 + 3x/4 = 700
27x/16 = 700 – 322
27x/16 = 378
x = 224
Number of female employee from A in IT department = x = 224
Number of female employees from B in HR department =3x/4 = 168
Number of male employees from A in HR department = 3x/4 – 30 = 138
Number of male employees from B in IT department = 15x/16 = 210
Ratio of the number of male employees from company A in IT department (P) to the number of female employees from A in HR department (Q)
= P/Q = 1: 2 –> (1)
Total number of employee in Company A = 500
P + 224 + 138 + Q = 500
P + Q = 500 – 362
P + Q = 138 –> (2)
On solving (1) and (2) => P = 46, Q = 96

6.Answer: C
Ratio of male person from HR department in company A to the male person from IT department in company 
B=> 138 / 210 = 23: 35
7.Answer: A
Average = (46 + 210 + 138 + 207) / 4 = 601/2 = 300.50
8) Answer: B
50% of Female people only from HR department on both the companies are went for team lunch = 50% of (92 + 168)
= 50% of 260
= 130
Difference = 256 – 130 = 126
9) Answer: E
66.66% of Male person from HR department
= 2/3 of 345
= 230
Female person from both the department = 599
Sum = 599 + 230 = 829

(10)
Quantity of salt in bag B = 80 kg
Quantity of salt in mixture = (100 - 70)% of 80 = 24 kg
Then, quantity of sugar in mixture = 24 kg
Now, quantity of sugar in bag A = 24 x 100/20 = 120 kg