MAT 136 MODULE 6 PROBLEM SET SNH 2026
COMPLETE ASSIGNMENT QUESTIONS AND
SOLUTIONS GUARANTEED PASS
◉ Is a sequence of terms whose reciprocals form an arithmetic
progression?
A. Harmonic Progression
B. Geometric Progression
C. Algebraic Progression
D. None of the above. Answer: A. Harmonic Progression
◉ Find the probability that a couple having 4 children will have at
least one girl.
A. 11/12
B. 3/4
C. 2/3
D. 15/16. Answer: D. 15/16
◉ How many minutes after 4 o' clock will the hands of the clock be
opposite to each other?
A. 53.5
,B. 51.5
C. 52.5
D. 54.5. Answer: D. 54.5
◉ Water is being pumped into the conical tank at the rate of 120
ft3/min. The height of the tank is 20 ft and its radius is 5 ft. How fast
the water level rising when the water height is 10 ft?
A. 5.92
B. 6.11
C. 3.68
D. 4.17. Answer: B. 6.11
◉ In which quadrant will angle A terminates if sec A is negative and
csc A is negative?
A. QIV
B. QIII
C. QI
D. QII. Answer: B. QIII
◉ An arch 24 m high has the form of parabola with a vertical axis.
The length of a horizontal beam is placed across the arch 12m from
the top is 64m. Find the half width of the arch at the bottom.
A. 70.5
,B. 90.5
C. 60.5
D. 80.5. Answer: B. 90.5
◉ A goat is tied to a corner of a 30 ft by 35 ft building. If the rope is
40 ft long, what is the maximum area the goat can cover.
A. 3620
B. 3868
C. 4280
D. 4150. Answer: B. 3868
◉ Find the center of the ellipse 4x^2+9y^2+16x+54y+61=0.
A. (2, 3)
B. (2, -3)
C. (-2, -3)
D. (-2, 3). Answer: C. (-2, -3)
◉ What is the distance between the line x+2y+8 = 0 and the point (5,
2)?
A. 5.32
B. 6.13
C. 2.53
, D. 3.16. Answer: D. 3.16
◉ Given the equation of the parabola 20x - y2 + 6y - 9 = 0. Determine
the length of latus rectum.
A. 10
B. 12
C. 4
D. 20. Answer: D. 20
◉ Find the 2000th digit in the decimal equivalent to 1785/9999
starting from decimal point.
A. 5
B. 7
C. 8
D. 1. Answer: A. 5
◉ A friend on a strict diet loss 18 pounds in 2 months, 12 pounds in
the next 2 months 8 pounds in the next two months and so on for a
long time. If the friend initially weighs 214 lbs, what will be the
resulting weight?
A. 180
B. 170
C. 160
COMPLETE ASSIGNMENT QUESTIONS AND
SOLUTIONS GUARANTEED PASS
◉ Is a sequence of terms whose reciprocals form an arithmetic
progression?
A. Harmonic Progression
B. Geometric Progression
C. Algebraic Progression
D. None of the above. Answer: A. Harmonic Progression
◉ Find the probability that a couple having 4 children will have at
least one girl.
A. 11/12
B. 3/4
C. 2/3
D. 15/16. Answer: D. 15/16
◉ How many minutes after 4 o' clock will the hands of the clock be
opposite to each other?
A. 53.5
,B. 51.5
C. 52.5
D. 54.5. Answer: D. 54.5
◉ Water is being pumped into the conical tank at the rate of 120
ft3/min. The height of the tank is 20 ft and its radius is 5 ft. How fast
the water level rising when the water height is 10 ft?
A. 5.92
B. 6.11
C. 3.68
D. 4.17. Answer: B. 6.11
◉ In which quadrant will angle A terminates if sec A is negative and
csc A is negative?
A. QIV
B. QIII
C. QI
D. QII. Answer: B. QIII
◉ An arch 24 m high has the form of parabola with a vertical axis.
The length of a horizontal beam is placed across the arch 12m from
the top is 64m. Find the half width of the arch at the bottom.
A. 70.5
,B. 90.5
C. 60.5
D. 80.5. Answer: B. 90.5
◉ A goat is tied to a corner of a 30 ft by 35 ft building. If the rope is
40 ft long, what is the maximum area the goat can cover.
A. 3620
B. 3868
C. 4280
D. 4150. Answer: B. 3868
◉ Find the center of the ellipse 4x^2+9y^2+16x+54y+61=0.
A. (2, 3)
B. (2, -3)
C. (-2, -3)
D. (-2, 3). Answer: C. (-2, -3)
◉ What is the distance between the line x+2y+8 = 0 and the point (5,
2)?
A. 5.32
B. 6.13
C. 2.53
, D. 3.16. Answer: D. 3.16
◉ Given the equation of the parabola 20x - y2 + 6y - 9 = 0. Determine
the length of latus rectum.
A. 10
B. 12
C. 4
D. 20. Answer: D. 20
◉ Find the 2000th digit in the decimal equivalent to 1785/9999
starting from decimal point.
A. 5
B. 7
C. 8
D. 1. Answer: A. 5
◉ A friend on a strict diet loss 18 pounds in 2 months, 12 pounds in
the next 2 months 8 pounds in the next two months and so on for a
long time. If the friend initially weighs 214 lbs, what will be the
resulting weight?
A. 180
B. 170
C. 160
