Ghoshbabu is staying at Ghosh Housing Society, Aghosh Colony, Dighospur , Calcutta. In Ghosh Housing Society 6 persons read daily Ganashakti and 4 read Anand Bazar Patrika; in his colony there is no person who reads both. Total number of persons who read these two newspapers in Aghosh Colony and Dighospur is 52 and 200 respectively. Number of persons who read Ganashakti in Aghosh Colony and Dighospur is 33 and 121 respectively; while the persons who read Anand Bazar Patrika in Aghosh Colony and Dighospur are 32 and 117 respectively. What is the Number of persons in Aghosh Colony who read both of these newspapers is

E, F, G and H have covered the distances x, ax, (x + a), (x - a) kilometers respectively in y, ay, (y + a), (y -a) hours respectively. If it is known that x > y, then which of them had the highest average speed?

Last week Martin received Rs.10 in commission for selling 100 copies of a magazine. Last week Miguel sold 100 copies of this magazine. He received his salary of Rs. 5 per week plus a commission of 2 cents for each of the first 25 copies sold, 3 cents for each of next 25 copies sold and 4 cents for each copy thereafter. (Rs.1 = 100 cents). I. Martin’s commission in the last week. II. Miguel’s total income for last week.

A right circular cone, a right circular cylinder and a hemisphere, all have the same radius, and the heights of the cone and cylinder equal to their diameters. Then their volumes are proportional, respectively to

Shyam went from Delhi to Shimla via Chandigarh by car. The distance from Delhi to Chandigarh is 3 times the distance from Chandigarh to Shimla. The average speed from Delhi to Chandigarh was one and half as much again as that from Chandigarh to Shimla. If the average speed for the entire journey was 49 kmph. What was the average speed from Chandigarh to Shimla?

F(x) = 2x + 3; G(x) = (x - 3)/2; F(x) = G(x -3). Find x.

A container has 40 litres of milk. 8 litres is taken out and replaced with an equal quantity of water. Then 10 litres of the solution is taken out and replaced with an equal quantity of water. The two steps are repeated once again. Find the final ratio of milk and water in the resultant solution.

Which is the least number that must be subtracted from 1856, so that the remainder when divided by 7, 12, and 16 is 4?

A water tank has three taps A, B, and C. A fills four buckets in 24 minutes, B fills 8 buckets in 1 hour and C fills 2 buckets in 20 minutes. If all the taps are opened together a full tank is emptied in 2 hours. If a bucket can hold 5 liters of water, what is the capacity of the tank?

Alphonso, on his death bed, keeps half his property for his wife and divide the rest equally among his three sons Ben, Carl and Dave. Some years later Ben dies leaving half his property to his widow and half to his brothers Carl and Dave together, shared equally. When Carl makes his will he keeps half his property for his widow and the rest he bequeaths to his younger brother Dave. When Dave dies some years later, he keeps half his property for his widow and the remaining for his mother. The mother now has Rs. 1,575,000. What was the ratio of the property owned by the widows of the three sons, in the end?

Three boys had a few coffee Bite toffees with them. The number of toffees with the second were four more than those with the first and the number of toffees with the third were four more than those with the second. How many toffees were there in all? I.The number of toffees with each of them is a multiple of 2. II.The first boy ate up four toffees from what he had and the second boy ate up six toffees from what had and the third boy gave them two toffees each from what he had and the number of toffees remaining with each of them formed a geometric progression.

Find the area under the graph |x+y|+ |x-y| ≤20.

You have 25 horses, only 5 horses can run in each race at the same time as there are only 5 tracks. What is the minimum number of races required to identify the fastest 3 horses without using a stopwatch or timer?

If md(x) = |x| , mn(x, y) = Minimum of x and y Ma(a, b, c) = maximum of a, b, c Given that a > b then the relation, Ma[md(a), mn(a,b)] = mn[a,md(Ma(a,b))] does not hold if

x, y, z are in G.P. with a common ratio r, x – 1/x = a, y – 1/y = b, z- 1/z = c; find r + 1/r.

ABCD is a rectangle. AC and BD intersect at P. E is the mid-point of BC. AE cuts BD at Q. area of APQ. Area of triangle is 24.

ABCD is a semicircle with the center C. A rectangle CDEM is drawn with CD as one of the sides such that the area of semicircle and rectangle is in the ratio 2π : 3. If line CE intersects arc of semicircle at point P and side CD = 4 units, then find the length of line PB.