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# Important Questions of Maths For DSSSB Exams Q1. Medians of a triangle are 18 cm, 24 cm and 30 cm. Find area of triangle?
(a) 612
(b) 288
(c) 782
(d) 289

Q2. In ∆ABC, AD, BE, CF are medians G is centroid. Total area of triangle ABC is 48 unit. Which of the following is not true?
(a) ∆BGD = 8 unit^2
(b) ∆BGC = 16 unit^2
(c) □FGEA = 16 unit^2
(d) □FGDB = 12 unit^2

Q3. In a right angle ∆, ∠C = 90° AE and BD are two median of a ∆ABC meeting at F. The ratio of ∆ABF and □FDCE.
(a) 1 : 1
(b) 2 : 1
(c) 1 : 2
(d) 4 : 1

Q4. In a ∆ABC, D and E are two points on the side BC such that they trisect the line BC. M and N are the two point on line AB and AC. ME || AC and ND || AB. The line ME and ND intersect at O. Find (Area of ∆DOE + Area of □AMON)/(Area of ∆ABC)
(a) 1/3
(b) 2/5
(c) 5/6
(d) 6/7

Q5. If two medians BE and CF of a triangle ABC intersect each other at G and if BG = CG, ∠BGC = 60° and BC = 8 cm. Then, area of the triangle ABC is
(a) 14√2 cm^2
(b) 48√3 cm^2
(c) 48 cm^2
(d) 16√3 cm^2

Q6. In a triangle ABC, BE and CF are medians such that they intersect each other at right angle. If AB= 5 cm and AC = 6 cm, then find BC.
(a) 6 (1/5)
(b) 61
(c) √5
(d) √(61/5)

Q7. Difference between the interior and exterior angles of regular polygon is 60°. The number of sides in the polygon is:
(a) 7
(b) 9
(c) 6
(d) 10

Q8. If a polygon has 54 diagonals, then the number of sides of the polygon is:
(a) 10
(b) 12
(c) 9
(d) 18

Q9. Two parallel chords of length 8 cm and 6 cm of a circle of radius 5 cm are on the same side of centre then find the distance of one chord from another chord.
(a) 4 cm
(b) 3 cm
(c) 1 cm
(d) 2 cm

Solutions

S6. Ans.(d)
Sol.
5BC^2=AB^2+AC^2
5BC^2 = 25 + 36
BC^2 = 61/5
BC = √(61/5)

S7. Ans.(c)
Sol. (180 – 60)/2=120/2 = 60
Number of sides = 360/x
=360/60
= 6

S8. Ans.(b)
Sol. n(n – 3)/2 = 54
n(n – 3) = 108
n = 12

S9. Ans.(c)
Sol. Trick = (difference of chord)/2
=(8-6)/2=2/2
= 1 cm

S10. Ans.(b)
Sol. (b) option is correct.