Quantitative Aptitude for SBI PO | IBPS – Set 112

In a school the periodical examination are held every second month. In a session during April 2001 – March 2002, a student of Class IX appeared for each of the periodical exams. The aggregate marks obtained by him in each periodical exam are represented in the line-graph given below.

Marks Obtained by student in Six Periodical Held in Every Two Months During the Year in the Session 2001 – 2002.

Maximum Total Marks in each Periodical Exam = 500

1) In which periodical exams did the student obtain the highest percentage increase in marks over the previous periodical exams ?
a) June, 01
b) August, 01
c) Oct, 01
d) Dec, 01

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Answer c) Oct, 01
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2) The total number of marks obtained in Feb. 02 is what percent of the total marks obtained in April 01 ?
a) 110%
b) 112.5%
c) 115%
d) 116.5%

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Answer b) 112.5%
Here it is clear from the graph that the student obtained 360, 365, 370, 385, 400 and 405 marks in periodical exams held in Apr 01, Jun 01, Aug 01, Oct 01, Dec 01 and Feb 02 respectively.
Required percentage = (405/360 x 100 )% = 112.5%.

3) What is the percentage of marks obtained by the student in the periodical exams of August, 01 and Oct, 01 taken together ?
a) 73.25%
b) 75.5%
c) 77%
d) 78.75%

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Answer b) 75.5%
Required percentage = [(370 + 385)/(500 + 500)x 100]% = (755/1000 x 100 )% = 75.5%.

4) What are the average marks obtained by the student in all the periodical exams during the last session ?
a) 373
b) 379
c) 381
d) 385

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Answer c) 381
Average marks obtained in all the periodical exams
= 1/6 x [360 + 365 + 370 + 385 + 400 + 405] = 380.83 ~= 381.

5) In which periodical exams there is a fall in percentage of marks as compared to the previous periodical exams ?
a) None
b) June, 01
c) Oct, 01
d) Feb, 02

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Answer a) None
As is clear from the graph, the total marks obtained in periodical exams, go on increasing. Since, the maximum marks for all the periodical exams are the same; it implies that the percentage of marks also goes on increasing.

Thus, in none of the periodical exams, there is a fall in percentage of marks compared to the previous exam.

The following table gives the percentage distribution of population of five states, P, Q, R, S and T on the basis of poverty line and also on the basis of sex.

State Percentage of Population below the Poverty Line Proportion of Males and Females
Below Poverty Line Above Poverty Line
M : F M : F
P 35 5 : 6 6 : 7
Q 25 3 : 5 4 : 5
R 24 1 : 2 2 : 3
S 19 3 : 2 4 : 3
T 15 5 : 3 3 : 2

6) If the male population above poverty line for State R is 1.9 million, then the total population of State R is?
a) 4.5 million
b) 4.85 million
c) 5.35 million
d) 6.25 million

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Answer d) 6.25 million
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7) What will be the number of females above the poverty line in the State S if it is known that the population of State S is 7 million?
a) 3 million
b) 2.43 million
c) 1.33 million
d) 5.7 million

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Answer b) 2.43 million
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8) What will be the male population above poverty line for State P if the female population below poverty line for State P is 2.1 million?
a) 2.1 million
b) 2.3 million
c) 2.7 million
d) 3.3 million

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Answer d) 3.3 million
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9) If the population of males below poverty line for State Q is 2.4 million and that for State T is 6 million, then the total populations of States Q and T are in the ratio?
a) 1:3
b) 2:5
c) 3:7
d) 4:9

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Answer b) 2:5
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