**Dear Students!!! There is most general as well as a scoring section in all the competitive entrance examinations in the teaching field i.e “Mathematics”.Because in this section only one thing is work i.e your accuracy and that could be nourished with the daily practice. So, for this, we are providing you the daily quiz for all teaching exams i.e CTET Exam 2018, DSSSB ,KVS,STET Exam.**

**Q1. The measure of each interior angle of a regular convex polygon is 156°. The number of slides of the polygon is:**

(a) 8

(b) 15

(c) 12

(d) 10

**Q2. The measure of each exterior angle of a regular polygon is 40°. How many sides does the polygon have?**

(a) 9

(b) 7

(c) 6

(d) 8

**Q3. In quadrilateral ABCD, ∠D = 60° and ∠C = 100°. The bisectors of ∠A and ∠B meet at point P. The measure of ∠APB is**

(a) 80°

(b) 100°

(c) 60°

(d) 70°

**Q4. The angles of an isosceles triangle cannot be**

(a) 61°, 61°, 58°

(b) 58°, 58°, 64°

(c) 50°, 50°, 80°

(d) 72°, 72°, 54°

(a) –15

(b) 2

(c) 1.75

(d) –1

**Q6. There is a three-dimensional figure in which F = 20 and V = 12. What will be the value of E?**

(a) 6

(b) 8

(c) 32

(d) 30

**Q7. In ∆PQR, PQ = 4 cm, PR = 6 cm and QR = 3 cm. Which of the following is correct?**

(a) ∠R > ∠Q

(b) ∠Q > ∠R

(c) ∠Q = ∠R

(d) ∠R < ∠P

**Q8. Which of the following letters is symmetric neither about x-axis (any line parallel to x-axis) nor about y-axis (any line parallel to y-axis)?**

(a) A

(b) C

(c) E

(d) G

**Q9. The number of lines of symmetry of the figure is**

(a) 1

(b) 3

(c) 4

(d) 6

**Q10. In ∆ABC, side BC is produced to a point D and ∠A = 50°. If AB = AC, the measure of ∠ACD is**

(a) 100°

(b) 115°

(c) 130°

(d) 65°

**Solutions**

S2. Ans.(a)

S3. Ans.(a)

Sol.

In quadrilateral ABCD,

∠A + ∠B + ∠C + ∠D = 360°

⇒ ∠A + ∠B + 100° + 60° = 360°

⇒ ∠A + ∠B + 160° = 360°

⇒ ∠A + ∠B = 200°

⇒ ∠PAB + ∠PBA = 100°

(AP and BP are angle bisectors of ∠A and ∠B)

⇒ 180° – ∠APB = 100°

(∵ ∠PAB + ∠PBA + ∠APB = 180°)

∴ ∠APB = 80°

S4. Ans.(d)

Sol. In an isosceles triangle, two angles are equal to each other and the sum of the three angles of the triangle is 180°.

In option (d), 72° + 72° + 54° = 198°

Hence, 72°, 72°, 54° are not angles of the isosceles triangle. In fact, they are not angles of any triangle.

S6. Ans.(d)

Sol. We know that F + V = E + 2

Or, 20 + 12 = E + 2

Therefore, E = 32 – 2 = 30

S7. Ans.(b)

Sol.

We know that the longest side is always opposite the largest interior angle, and the shortest side is always opposite the least interior angle.

Therefore, ∠Q > ∠R > ∠P

Hence, ∠Q > ∠R

S8. Ans.(d)

Sol. G is symmetric neither about x-axis (any line parallel to x-axis) nor about y-axis (any line parallel to y-axis).

S9. Ans.(d)

Sol. The lines of symmetry (shown in the given figure as dotted) is an imaginary line where you can fold the image and have both halves matching exactly.

6 lines of symmetry are possible in the given figure.

S10. Ans.(b)

Sol.

In triangle ABC, AB = AC

Therefore, triangle ABC is isosceles.

⇒ ∠ABC = ∠ACB

Now, in ∆ ABC,

∠ABC + ∠BAC + ∠ACB = 180°

⇒ ∠ABC + ∠A + ∠ABC = 180°

⇒ 2∠ABC + 50° = 180°

⇒ 2∠ABC = 130° ⇒ ∠ABC = 65°

Now,

∠ACD = ∠BAC + ∠ABC

(the exterior angle theorem)

⇒ ∠ACD = 50° + 65°

∴ ∠ACD = 115°