# Quantitative Aptitude Practice Test for SBI PO mains

QUANTITATIVE APTITUDE PRACTICE TEST
Directions(1-5): The following table shows the number of new employees added to different categories of employees in a company and also the number of employees from these categories who left the company every year since the foundation of the company in 1995.

 Year Managers Technicians Operators Accountants Peons New Left New Left New Left New Left New Left 1995 760 - 1200 - 880 - 1160 - 820 - 1996 280 120 272 120 256 104 200 100 184 96 1997 179 92 240 128 240 120 224 104 152 88 1998 148 88 236 96 208 100 248 96 196 80 1999 160 72 256 100 192 112 272 88 224 120 2000 193 96 288 112 248 144 260 92 200 104

1.During the period between 1995 and 2000, the total number of Operators who left the company is what percent of the total number of Operators who joined the company?
a)19%
b)21%
c)27%
d)29%
e)32%

2.For which of the following categories the percentage increase in the number of employees working in the company from 1995 to 2000 was maximum?
a)Managers
b)Technicians
c)Operators
d)Accountants
e)Peons

3.What is the difference between the total number of Technicians added to the company and the total number of Accountants added to the company during the years 1996 to 2000?
a)128
b)112
c)96
d)88
e)72

4.What was the total number of Peons working in the company in the year 1999?
a)1312
b)1192
c)1088
d)968
e)908

5.What is the pooled average of the total number of employees of all categories in the year 1997?
a)1325
b)1285
c)1265
d)1235
e)1195

Directions(6-10): Study the following table carefully and answer the questions given below.

CLASSIFICATION OF 100 STUDENTS BASED ON THE MARKS OBTAINED BY THEM IN PHYSICS AND CHEMISTRY IN AN EXAMINATION.

 Marks out of 50>> Subject↓ 40 and above 30 and above 20 and above 10 and above 0 and above Physics 9 32 80 92 100 Chemistry 4 21 66 81 100 (Aggregate) Average 7 27 73 87 100

6.The number of students scoring less than 40% marks in aggeregate is:
a)13
b)19
c)20
d)27
e)34

7.If at least 60% marks in Physics are required for pursuing higher studies in Physics, how many students will be eligible to pursue higher studies in Physics?
a)27
b)32
c)34
d)41
e)68

8.What is the difference between the number of students passed with 30 as cut-off marks in Chemistry and those passed with 30 as cut-off marks in aggregate?
a)3
b)4
c)5
d)6
e)7

9.The percentage of the number of students getting at least 60% marks in Chemistry over those getting at least 40% marks in aggregate, is approximately:
a)21%
b)27%
c)29%
d)31%
e)34%

10.If it is known that at least 23 students were eligible for a Symposium on Chemistry, the minimum qualifying marks in Chemistry for eligibility to Symposium would lie in the range:
a)40-50
b)30-40
c)20-30
d)Below 20
e)Can't be determined

1.d)
2.a)
3.d)
4.b)
5.e)
6.d)
7.b)
8.d)
9.c)
10.c)

Solution
1.Total number of operators who left the company during 1995-2000
= (104 + 120 + 100 + 112 +144) = 580
Total number of operators who joined the company during 1995-2000
= (880 + 256 + 240 + 208 + 192 + 248) = 2024
so, required% = (580/2024) × 100 = 29% (approx)

2.Number of Managers working in the company:
In 1995 = 760
In 2000 = (760+280+179+148+160+193)  ̶   (120+92+88+72+96) = 1252
so, percentage increase in the number of Managers = [(1252  ̶  760)/760] × 100 = 64.74%
Number of Technicians working in the company:
In 1995 = 1200
In 2000 = (1200+272+240+236+256+288)  ̶  (120+128+96+100+112) = 1936
Percentage increase in number of Technicians = [(1936  ̶  1200)/1200] × 100 = 61.33%
Number of Operators working in the company:
In 1995 = 880
In 2000 = (880+256+240+208+192+248)  ̶  (104+120+100+112+144) = 1444
Percentage increase in number of Operators = [(1444  ̶  880)/880] × 100 = 64.09%
Number of Accountants working in the company:
In 1995 = 1160
In 2000 = (1160+200+224+248+272+260)  ̶  (100+104+96+88+92) = 1884
Percentage increase in number of Accountants = [(1884  ̶  1160)/1160] × 100 = 62.41%
Number of Peons working in the company:
In 1995 = 820
In 2000 = (820+184+152+196+224+200)  ̶  (96+88+80+120+104) = 1288
Percentage increase in number of Peons = [(1288  ̶  820)/820] × 100 = 57.07%
clearly, the percentage increase is maximum in case of Managers.

3.Required difference = (272+240+236+256+288)  ̶  (200+224+248+272+260) = 88

4.Total number of Peons working in the company in 1999
= (820+184+152+196+224)  ̶  (96+88+80+120) = 1192

5.Total number of employees of various categories working in the company in 1997 are:
Managers = (760+280+179)  ̶  (120+92) = 1007
Technicians = (1200+272+240)  ̶  (120+128) = 1464
Operators = (880+256+240)  ̶  (104+120) = 1152
Accountants = (1160+200+224)  ̶  (100+104) = 1380
Peons = (820+184+152)  ̶  (96+88) = 972
so, pooled average in 1997 = 1/5 (1007+1464+1152+1380+972) = 1195

6.We have 40% of 50 = (40/100) × 50 = 20
so, required number = Number of students scoring less than 20 marks in aggregate
= 100  ̶   number of students scoring 20 and above marks in aggregate
= 100   ̶   73 = 27

7.We have 60% of 50 = (60/100) × 50 = 30
so, required number = Number of students scoring 30 and above marks in Physics = 32

8.Required difference
= (Number of students scoring 30 and above marks in Chemistry)   ̶   (Number of students scoring 30 and above marks in aggregate)
= 27   ̶  21 = 6

9.Number of students getting at least 60% marks in Chemistry
= Number of students getting 30 and above marks in Chemistry = 21
Number of students getting at least 40% marks in aggregate = Number of students getting 20 and above marks in aggregate = 73
so, required% = (21/73) × 100 = 29% (approx)

10.Since 66 students get 20 and above marks in Chemistry and out of these 21 students get 30 and above marks, therefore to select top 35 students in Chemistry, the qualifying marks should lie in the range 20-30. 