Q.1 A gardener increased the area of his rectangular garden by increasing its length by 40% & decreasing its width by 20%.The area of the new garden
A) has increased by 20%
B) has increased by 12%
C) has increased by 8%
D) Same as the old area
The area of the new garden=
Q.2 There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate Rs100 per metre it will cost the village panchayat Rs 75000 to fence the plot. What are the dimensions of the plot?
A) 274 & 100 m
B) 275 & 200 m
C) 275 & 100 m
D) None of the above
Let the common ratio between the length and breadth of the rectangular plot be x. Hence, the length and breadth of the rectangular plot will be 11x m and 4x m respectively.
Perimeter of the plot = 2(Length + Breadth)
It is given that the cost of fencing the plot at the rate of Rs 100 per metre is Rs 75, 000.
? 100 × Perimeter = 75000
100 × 30x = 75000
3000x = 75000
Dividing both sides by 3000, we obtain
x = 25
Length = 11x m = (11 × 25) m = 275 m
Breadth = 4x m = (4 × 25) m = 100 m
Hence, the dimensions of the plot are 275 m and 100 m respectively.
Q.3 A Village having a population of 4000 requires 150 litres of water per head per day. It has a tank measuring 20m x 15m x 6m. The water of this tank will last for
A) 2 days
B) 3 days
C) 4 days
D) 5 days
Total amount of water for 4000 people=
Volume of tank= 20m * 15m * 6m
Therefore,required no. of days=
Q.4 Cost of carpeting a room 8m long & 4m wide with a carpet 2m wide is Rs.50 per metre. Find the cost of carpeting the floor?
A) Rs. 650
B) Rs. 700
C) Rs. 750
D) Rs. 800
Length = L * B/ Width of carpet
Or 8 * 4 / 2
Now, Cost = 16*50 = Rs.800
Q.5 A garden is 112m long & 78 m wide. It has walking path 25m wide all around it on inside. Find the area of path ?
A) 925 m2
B) 927 m2
C) 929 m2
D) 934 m2
If path is within the garden then use this formula:
2 * B * (L + B – 2 * B)
2 * 25 (112 + 78 – 2 * 25)
= 5 * 185 = 925 m2