**Q1. In a polyhedron, if the number of faces, edges and vertices are denoted by F, E and V respectively, then according to Euler’s formula**

**(a) F+V-E=2**

(b) F-V+E=2

(c) F-V-E=2

(d) F+V=E-2

**Sol.**

**In, Polygon the number of faces, edges and vertices are denoted by F,E and V respectively. According to Euler’s formula.**

**(F+V-E=2)**

**Q2. Which type of triangle will obtain from sides 2 cm, 3 cm and 6 cm?**

(a) Acute angled triangle

(b) Scalene triangle

**(c) Both ‘a’ and ‘b’**

(d) None of the above

**Sol.**

**Sides given 2 cm, 3 cm, 6 cm.**

**We can obtain acute angle triangle and scalene triangle.**

**Q3. A shopkeeper uses a weight of 800 gm for 1 kg and professes to sell his goods at cost price. His profit is**

**(a) 20%**

(b) 24%

(c) 25%

(d) 40%

**Sol.**

**Shopkeeper uses a weight of 800 gm instead**

**1 kg, so that = (1000 – 800)/1000×100**

**= 200 / 1000 × 100 = 20%**

**Q4. Throwing two dice at the same time, the probability of getting larger number at one dice than order another will be**

**(a) 1/6**

(b) 5/6

(c) 1/2

(d) 1

**Sol.**

**Total number of dice = 2**

**Total number of activity = 12**

**Because one dice has 6 numbers**

**So, getting a larger number at one**

**Dice =2/12=1/6**

**Q5. The number of diagonals in a regular hexagon will be**

(a) 3

(b) 6

**(c) 9**

(d) 10

**Sol.**

**The total number of diagonal will be 9.**

**Q6. The height of a room is x and the area of two adjacent walls of room are y and z respectively. The area of the roof of room will be**

**(a) yz/x^2**

(b) yz

(c) yz/x

(d) xyz

**Q7. In a farm, there are some hens and goats. The sum of their heads are 77 and sum of their legs are 248. The number of hens in the farm is**

(a) 25

**(b) 30**

(c) 40

(d) 47

**Q8. A semi-circular shaped window has diameter 49 cm. Its perimeter will be (use π=22/7)**

(a) 77 cm

(b) 126 cm

**(c) 154 cm**

(d) 203 cm

**Sol.**

**Diameter of semi circle = 49 cm**

**Perimeter = 2πr=49×22/7**

**= 154 cm**

**Q9. In given figure, the value of x°+y° will be**

**(a) 100°**

(b) 90°

(c) 75°

(d) 120°

**Q10. The value of 1.3 is equal to**

**(a) 13/10**

(b) -4/3

(c) -13/10

(d) 4/3

**Sol.**

**The value of 1.3 is =13/10**