Quantitative Reasoning I BS Mathematics 1 Semester/Term GCUF — Government College University Faisalabad 2025
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GOVT. COLLEGE UNIVERSITY, FAISALABAD
External Semester Examinations Fall-2024-2025
BS Mathematics, 1st Semester
Degree: 95 Mathematics
Semester: 1st
Paper: Subjective
Course Title: Quantitative Reasoning-l
Note: Attempt all questions. All the questions carry equal marks.
Marks: 60
Course Code: QTR-601
Time allowed: 2:30 Hours
Q.1 （a） Solve x2+5x+6=0（br（22+0+六）
(b) A tank is cube-shaped with sides measuring 5 m. What is reconsial in all-dimension so a.
facor of
7. What will be soe new volume of volume?
(c) From a committee of 5 men and 3 women, what is the number of ways to form a sub-
committee of 3 people if it must have at least one woman' least one woman?
(d) An article is sold for Rs. 500 at a loss of 20%. Find the cost price.
(f) A book is bought
for Rs. 300 and sold for Rs. 360.
(d) Calculate the profit percentage.
Q.2
(a) The following sooks represents the Full Oordination table with 5 basic matinaza course.
23
40
28
37
23
47
43
91
92
25
37
53
41
39
94
39
97
87
62
Using "g" intervals with bonen starting of "30", eill all a frequency diagramatic using Tally
Shoke.
(b) Consider the data of number of students in a college of College.
Caaraot
30
30
51
90
38
10
Construct of Hebula The Class
Q.3
(a) The area of a click is 1510 secure inches. Find the area of the settor chave crestal angle is 49°.
(b) Thagnoss all contents in woires. Of these, 22 study Stadaens, 17 study Physics and 15 study
Stotioa Stanaling sen Physics. By scawing a thrsa Diagram. Find the number of students with
study lilely Starsding and Physics.
(c) Bet one real wireed function, / a la = f(x) = (-a + 1)½, And f-'(-27)
Q.4
(a) Find the mose of the reaction of - like + 18 =
5.
(v) Calculate the average age of the los year students have the following Frequency distribution.
4cm
（8..）
No. of Studiens
10cm
5cm
Age (mm)
10
14
18
20
17
13
10cm
Q.4
(a) Calculate the sample standard deviation for the following raw numerical data set:
67, 34, 45, 66, 55, 60, 48, 52
(b) Determine the sample variance for the data in part
(a).
Q.5 Find the median of the following dataset:
[23, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41,
42, 43, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62]
(1)
(2)
(2)
(2)
(10)
(10)
(8)
(7)
(3)
(3)
(S)
(S)
(10)
