Download PTU (I.K. Gujral Punjab Technical University Jalandhar (IKGPTU) B.Sc-Agriculture 2020 March Previous Question Papers
Roll No. Total No. of Pages : 02
Total No. of Questions : 09
B.Sc. Agriculture (2014 to 2018) (Sem.?1)
B.Sc. Hons. (Agriculture)
MATHEMATICS ? I
Subject Code : BSAG-106a
M.Code : 72213
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students
have to attempt any TWO questions.
SECTION-A
1. Answer briefly :
a) Find the centre and radius of :
x
2
+ (y +2)
2
= 9
b) Find equation of circle whose radius is 5 and centre lies on x-axis and passes through
point (2,3).
c) Determine x such that m = 2 and line passes (2,5) and (x,3)
d) How many number of two digits are divisible by 7?
e) The sum of four numbers in G.P. is 85 and product is 4096, find them.
f) Find the positive value of m for which coefficient of x
2
in the expansion of (l+x)
m
is
6.
g) Write the number of ways 7 men and 7 women can sit on a round table such that no
two women sit together.
h) If there are 12 persons in a party, and if each two of them shake hands with each
other, how many handshakes happen in the party?
i) How many number of two digits are divisible by 3?
j) Define Arithmetic Progression.
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1 | M-72213 (S2)-1115
Roll No. Total No. of Pages : 02
Total No. of Questions : 09
B.Sc. Agriculture (2014 to 2018) (Sem.?1)
B.Sc. Hons. (Agriculture)
MATHEMATICS ? I
Subject Code : BSAG-106a
M.Code : 72213
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students
have to attempt any TWO questions.
SECTION-A
1. Answer briefly :
a) Find the centre and radius of :
x
2
+ (y +2)
2
= 9
b) Find equation of circle whose radius is 5 and centre lies on x-axis and passes through
point (2,3).
c) Determine x such that m = 2 and line passes (2,5) and (x,3)
d) How many number of two digits are divisible by 7?
e) The sum of four numbers in G.P. is 85 and product is 4096, find them.
f) Find the positive value of m for which coefficient of x
2
in the expansion of (l+x)
m
is
6.
g) Write the number of ways 7 men and 7 women can sit on a round table such that no
two women sit together.
h) If there are 12 persons in a party, and if each two of them shake hands with each
other, how many handshakes happen in the party?
i) How many number of two digits are divisible by 3?
j) Define Arithmetic Progression.
2 | M-72213 (S2)-1115
SECTION-B
2. a) Find the area of a right angled triangle whose base is 12cm and hypotenuse is 13cm.
b) The altitude drawn to the base of an isosceles triangle is 8cm and the perimeter is
32cm. Find the area of the triangle.
3. a) If each side of a square is increased by 25%, find the percentage change in its area.
b) Two concentric circles form a ring. The inner and outer circumferences of the ring are
2
50 m
7
and
3
75 m
7
respectively. Find the width of the ring.
4. a) A cube of edge 15cm is immersed completely in a rectangular vessel containing
water. If the dimensions of the base of vessel are 20cm?15cm, find the rise in water
level.
b) A rectangular water tank is 80m ? 40m. Water flows into it through a pipe 40 sq. cm
at the opening at the speed of 10km/hr. By how much height, the water level will rise
in the tank in half an hour?
5. a) Solve the following quadratic equation by factorisation method
9x
2
? 12x + 20 = 0
b) Solve the quadratic equation 25x
2
? 30x + 11 = 0 by using the general expressions for
the roots of a quadratic equation.
6. a) How many words can be framed from the letters of word ?EXTRA? so that the vowels
are always together?
b) In how many ways can a cricket eleven be chosen out of a batch of 15 players?
SECTION-C
7. a) Expand (x
2
+ 2a)
5
by binomial theorem.
b) Find the sum of following series :
5 + 55 + 555 +????.to n terms.
8. a) Find the equation of a line that has y intercept 4 and is perpendicular to the line
joining (2, ?3) and (4,2).
b) Find the equation of the line which makes an angle of 15? with the positive direction
of x-axis and which cuts an intercept of length 4 on the negative direction of y-axis.
9. a) Find the equation of circle which passes through 2 points on the - axis which are at
distances 4 from the origin and whose radius is 5.
b) Find equation of the circle which passes through the origin and cuts off intercepts
3 and 4 from the positive parts of the axes respectively.
NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any
page of Answer Sheet will lead to UMC against the Student.
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This post was last modified on 02 April 2020