In triangle ABC, DE || BC where D is a point on AB and E is a point on AC. DE divides the area of Δ ABC into two equal parts. Then DB : AB is equal to
√2 : (√2 + 1)
√2 : (√2 - 1)
(√2 - 1) : √2
(√2 + 1) : √2
Ram sold two horses at the same price. In one he gets a profit of 10% and in the other he gets a loss of 10%. Then Ram gets
2% loss
No loss or profit
1% loss
1% loss
A and B have their monthly incomes in the ratio 8 : 5, while their monthly expenditures are in the ratio 5 : 3. If they have saved Rs. 12,000 and Rs 10,000 monthly respectively, then the difference in their monthly incomes is
Rs 52,000
Rs. 42,000
Rs. 44,000
Rs. 44,000
B.
Rs. 42,000
Let A's monthly income be Rs. 8x
A's monthly expenditure be Rs. 5y
Let B's monthly income be Rs. 5x
B's monthly expenditure be Rs. 3y
According to the question,
8x - 5y = 12000 ...(i)
5x - 3y = 10000 ...(ii)
Solving (i) and (ii), we get
⟹ x = 14000
Difference between monthly incomes of A and B
= 8x - 5x = Rs. 3x = Rs. (3 x 14000)
= Rs. 42000
Pipe A can fill an empty tank in 6 hours and pipe B in 8 hours. If both the pipes are opened and after 2 hours pipe. A is closed, how much time B will take to fill the remaining tank?
A right prism has a triangular base, whose sides are 13 cm, 20 cm and 21 cm. If the altitude of the prism is 9 cm, then its volume is
1314 cm3
1134 cm3
1413 cm3
1413 cm3
Articles are marked at a price which gives a profit of 25%. After allowing a certain discount the profit reduces to The discount percent is
11.1%
10%
The portion of a ditch 48m long, 16.5m wide and 4 m deep that can be filled with stones and earth available during excavation of a tunnel, cylindrical in shape, of diameter 4 m and length 56 m is