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
