Hello and welcome to ExamPundit. Here is a set of Data Interpretation Quiz for SBI PO.


There are a certain number of candidate appeared for the state level commission examination conducted by three different states Bihar, Jharkhand and Orissa. All of the candidates have cleared at least one states examination. 32.5 % students cleared Bihar's examination, 42.5 % students cleared Jharkhand examination and 54.5 % students cleared Orissa state examination. 9 % students cleared only Bihar and Jharkhand examination, 6 % students cleared only Jharkhand and Orissa examination and 7.5 % students cleared only Bihar and Orissa examination.
If total number of students in the group is 800 then answer the following questions:

1. How many students cleared all three state–level examination?
(a) 28
(b) 36
(c) 66
(d) 56
(e) None of these



2. What is the percentage of students who cleared the only examination conducted by state Bihar?
(a) 6 %
(b) 9 %
(c) 12.5 %
(d) 15 %
(e) 16 %



3. How many students are there who cleared examinations conducted by at least two states?
(a) 208
(b) 224
(c) 232
(d) 236
(e) None of these



4. What is the percentage of students who cleared the exam conducted by Jharkhand but couldn't clear the exam conducted by Orissa state?
(a) 29.5 %
(b) 32 %
(c) 27.5 %
(d) 33 %
(e) 35 %



5. How many students are there who have cleared at most one exam conducted by these three states?
(a) 514
(b) 508
(c) 524
(d) 560
(e) 592
Solutions:



X + K = 260 – (72 + 60) = 128 –––––– (I)
Y + K = 340 – (72 + 48) = 220 ––––––– (II)
Z + X = 436 – (48 + 60) = 328 –––––––(III)

X + Y + Z + K = 800 – (72 + 60 + 48) = 800 – 180 = 620

Now, equation (I) + (II) + (III) – equation (IV) gives

K = 28 2K = 56, X = 100 Y = 192 Z = 300

1. Number of students who cleared all the three state – level exams = 25
2. Required % = 100/800 x 100 = 12.5%
3. Required number of students = 72 + 48 + 60 + 28 = 208
4. Required % = 264/800 x 100 = 33%
5. Required number of students = 100+ 192 + 300 = 592

Winners of this Quiz:

1. Wall-E
2. Avishek/Ashutosh
3. Sanchita/FedEx




Regards



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