Quantitative Aptitude Practice Test for SBI PO mains

QUANTITATIVE APTITUDE PRACTICE TEST

Directions(1-6): Study the following table carefully and answer these questions.
NUMBER OF CANDIDATES APPEARED AND QUALIFIED IN A COMPETITIVE EXAMINATION FROM DIFFERENT STATES OVER THE YEARS

Year>> Sate↓	1997		1998		1999		2000		2001
	App.	Qual.	App.	Qual.	App.	Qual.	App.	Qual.	App.	Qual.
M	5200	720	8500	980	7400	850	6800	775	9500	1125
N	7500	840	9200	1050	8450	920	9200	980	8800	1020
P	6400	780	8800	1020	7800	890	8750	1010	9750	1250
Q	8100	950	9500	1240	8700	980	9700	1200	8950	995
R	7800	870	7600	940	9800	1350	7600	945	7990	885

1.Combining the states P and Q together in 1998, what is the percentage of the candidates qualified to that of the candidates appeared?
a)10.87%
b)11.49%
c)12.35%
d)12.54%
e)13.05%


2.The percentage of the total number of qualified candidates to the total number of appeared candidates among all the five states in 1999 is:
a)11.49%
b)11.84%
c)12.21%
d)12.57%
e)12.73%

3.What is the percentage of candidates qualified from State N for all the years together, over the candidates appeared from State N during all the years together?
a)12.36%
b)12.16%
c)11.47%
d)11.15%
e)None of these

4.What is the average of candidates who appeared from State Q during the given years?
a)8700
b)8760
c)8810
d)8920
e)8990

5.In which of the given years the number of candidates appeared from State P has maximum percentage of qualified candidates?
a)1997
b)1998
c)1999
d)2000
e)2001

6.Total number of candidates qualified from all the states together in 1997 is approximately what percentage of the total number of candidates qualified from all the states together in 1998?
a)72%
b)77%
c)80%
d)83%
e)86%

Directions(7-10): The following table gives the percentage of marks obtained by seven students in six different subjects in an examination. Study the table and answer the questions based on it.The numbers in the brackets give the maximum marks in each subject.

Subjects(max marks)>> Student↓	Maths (150)	Chemistry (130)	Physics (120)	Geography (100)	History (60)	Computer Science (40)
Ayush	90	50	90	60	70	80
Aman	100	80	80	40	80	70
Sajal	90	60	70	70	90	70
Rohit	80	65	80	80	60	60
Muskan	80	65	85	95	50	90
Tanvi	70	75	65	85	40	60
Tarun	65	35	50	77	80	80

7.What was the aggregate of marks obtained by Sajal in all the six subjects?
a)409
b)419
c)429
d)439
e)449

8.What is the overall percentage of Tarun?
a)52.5%
b)55%
c)60%
d)63%
e)64.5%

9.What are the average marks obtained by all the seven students in Physics? (rounded off to two digits after decimal)
a)77.26
b)89.14
c)91.37
d)96.11
e)103.21

10.The number of students who obtained 60% and above marks in all the subjects is:
a)1
b)2
c)3
d)None
e)Can't be determined

Answer key

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

Solution

1.Required% = [(1020+1240)/(8800+9500)] × 100 = (2260/18300) × 100 = 12.35%

2.Required% = [(850+920+890+980+1350)/(7400+8450+7800+8700+9800)] × 100
                      = (4990/42150) × 100 = 11.84%

3.Required% = [(840+1050+920+980+1020)/(7500+9200+8450+9200+8800)] × 100
                      = (4810/43150) × 100 = 11.15%

4.Required avg = (8100+9500+8700+9700+8950)/5 = 44950/5 = 8990

5.The percentage of candidates qualified to candidates appeared from state P during different years are:
For, 1997 = (780/6400) × 100 = 12.19%
For, 1998 = (1020/8800) × 100 = 11.59%
For, 1999 = (890/7800) × 100 = 11.41%
For, 2000 = (1010/8750) × 100 = 11.54%
For, 2001 = (1250/9750) × 100 = 12.82%
So, maximum percentage is for the year 2001.

6.Required% = [(720+840+780+950+870)/(980+1050+1020+1240+940)] × 100
                      = (4160/5230) × 100 = 80%(approx)

7.Aggregate marks obtained by Sajal
= [(90% of 150) + (60% of 130) + (70% of 120) + (70% of 100) + (90% of 60) + (70% of 40)]
= 135 + 78 + 84 + 70 + 54 + 28 = 449

8.Aggregate marks obtained by Tarun
= [(65% of 150) + (35% of 130) + (50% of 120) + (77% of 100) + (80% of 60) + (80% of 40)]
= 97.5 + 45.5 + 60 + 77 + 48 + 32 = 360
Total maximum marks = (150 + 130 + 120 + 100 + 60 + 40) = 600
Overall percentage of Tarun = (360/600) × 100 = 60% 9.Average marks obtained in Physics by all the seven students = 1/7 [(90% of 120) + (80% of 120) + (70% of 120) + (80% of 120) + (85% of 120) + (65% of 120) + (50% of 120)] = 1/7 (520% of 120) = 624/7 = 89.14 10.From the table it is clear that Sajal and Rohit have 60% or more marks in each of six subjects.