Latest Posts

A certain sum of money was divided among A, B and C in a certain way that C got half as much as A and B together got. A got one third of what B and C together got. What is the ratio of A’s share to that of C’s share? a) 1:4 b) 3:4 c) 4:1 d) 3:5 Sol:

By an engine the consumption of coal is directly proportional to the square of its velocity when velocity is 50 mile/hour then consumption is 18 kg. If cost of coal is 25 paise/kg and expenditure is 12.5 Rs/hour is another case. Then find the consumption in travelling 50 miles? a) 93 kg b) 80 kg ...

If tan (8θ – 11°) tan (11θ – 13°) = 1, then find the value of tan10θ + cot5θ ? Sol: We know, if tanA. tanB = 1 Then, A + B = 90° Now, Tan(8θ – 11) . tan (11θ – 13) = 1 ∴ 8θ – 11 + 11θ – 13 = 90 ⇒ 19θ = 114 ⇒ θ = 6 Now,Tan10θ + cot 5θ

A contractor hires 36 men for a work, they complete 3/4th of the work in 15 days. After that work is stopped due to rain. 25% of the completed work is destroyed by rain and 6 men falls sick. Find the time in which remaining work will be completed. ? a) 9 days b) 12 days ...

The investment made by x and y are in the ratio 3:2. If 5% of the total profit is donated and x gets Rs 8550 as his share of profit then what is the amount of total profit: a) Rs 14000 b) 15000 c) Rs 11050 d) None of these Sol: A : B = 3 : 2 5% of profit is donated Share of A = 8550 ...

There are two concentric circles of different radius. A chord of bigger circle is tangent to smaller circle if the length of tangent is 14 units, find the area enclosed between two circles? a) 49 sq. units ...

In the given figure. BE = FC and AB = EF also AB AD & EF BC, if AD = 3 units, and EF = 4 units. Find the area of ∆EFC (in sq. units) a) 15 b) 41/4 c) 40/3 d) 16 Sol:

If a³-b³= 208 and (a+b)²-ab= 4 then find the value of a²? a) (52-b)² b) (52+b)² c) (52-b) d) (52+b) Sol:

The centers of three circles of 1unit radius each lies on a straight line, AB, A is a point on the circumference of first circle. Second circle touches the first and third circle, From point A, a tangent AE is drawn to third circle, touching third circle at E this tangent cuts second circle at C ...

In a right-angled triangle ABC, right angled at B, point D and E are on AB and BC such that DE||AC. If AD = 3 cm and EC = 4 cm. and area of quadrilateral ADEC is 42cm sq. find the area of ∆DBE. (in sq. cm) a) 54 b) 36 c) 72 d) 64 Sol: