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

13.

If tan θ - cot θ = 0 and θ is positive acute angle, then the value of  is

• 3

• 
• 
• 

In Δ ABC,  and , if BD = 3 cm and CD = 4 cm, then the length of AD is

• 3.5 cm

• 5 cm

• 
• 

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

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

If (3x - 2y) : (2x + 3y) = 5  : 6, then one of the values of  is

• 

• 5

• 25

• 25

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