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The ratio between the ages of P and Q four yrs ago was 5 : 6. If the total of their ages at present is 52 yrs, what is the ratio of their present ages?
If x + y = 6 and 3x  y = 4, then x  y is equal to
x + y = 6
⇒ y = 6  x
Now, 3x  y = 4
or 3x  (6  x) = 4
or 3x  6 + x = 4
or 4x = 10
A train starts with full of passenges.At the first station,the train drops onethird of the passengers and takes in 96 more.At the next station,one half of the passengers on board get down while 12 new passengers get on board.The number of passengers now is 240.The number of passengers in the beginning was
Let the number of passengers be x when the train started off
∴ At the first station, the number of passengers = x  x/3 + 96 = 2x/3 + 96
At the second station, the number of passengers = ( 2x/3 + 96) 1/2 + 12
At the third station, the number of passengers left = x/3 + 48 + 12 = 240
⇒ x/3 = 180
⇒ x = 540
A company produces on an average 4000 items per month for the first 3 months. How many items it must produce on an average per month over the next 9 months, to average 4375 items per month over the whole?
∴ 4500 items per month should be produced for the last 9 months
Diagonals of a rhombus are in the ratio 3:4 and its area is 2400 cm^{2}. Side of the rhombus is
Let the diagonals of a rhombus are 3K and 4K. Then
Area of rhombus = 1/2 x product of diagonals
2400 = 1/2 x 3K x 4K
or 400 = K^{2}
or K = 200
∴ The Diagonals are 60 cm and 80 cm
we know that, if a be side of the rhombus and AC and BD be its diagonals then
(AC)^{2} + (BD)^{2} = 4 x a^{2}
or (60)^{2} + (80)^{2} = 4 x a^{2}
or 3600 + 6400 = 4 x a^{2}
or 10000 = 4a^{2}
or 2500 = a^{2}
or a = 50 cm
A rectangular park is 200 by 150m. Two cross paths are to be made one parallel to the length and the other parallel to the breadth. The longer path is to be 3 m wide and the shorter is to be 2 m wide. The cost of grassing the remaining part of the park @ Rs. 1000 per ha is
Area of the park minus the paths
= (200  3) (150  2)
= 197 × 147 sq. m
= 29156 sq. m
The cost of grashing the remaming part of the park = Rs 29156/10000 x 1000
= Rs 2915.6
The area of the sector of the circle is 1/10th the area of the circle. The angle of the sector is
The average of 50 numbers is 30. If two numbers, 35 ad 40 are discarded, then the average of the remaining numbers is nearly:
Sum of 50 number = 30 x 50 = 1,500
Sum of remaining 48 numbers = 1,500  (35 + 40) = 1,425
If the equation 12x² + 7xy  py²  18x + y + 6 = 0 represents a pair of perpendicular lines, then
AB∥CD and P is a point between the lines, the measure of the angles ∠ABP+∠BPD+∠CDP is
Lines AB and CD intersect at O. This forms four angles. If sum of three of these is 299° then the measure of the fourth angle is
Sum of all angles about a point is 360
299 + x = 360°
so, x = 61
A light house is 60 metres high with its base being at the sea level.If the angle of depression of a boat in the sea from the top of the light house is 15°,then the distance of the boat from the foot of the light house is equal to
A tap can fill a tank in one hour. A second tap empty it in 30 minutes. If both the taps operate simultaneously, how much time is needed to empty the tank?
In one minute 1/60 + 1/30 = 1/20 of the tank will be empty
Kewal sells two tape recorders at the same price. On one,he gains 10% and on the other, he loses 10%. The total gain or loss in the transaction is
In a triangle AC, if a = 2, B = 60° and c = 75°, then b =
Rs 6400 are divided among three workers in the ratio . The share of the second worker (in rupees)is
The interest on Rs 4500 from January 5 to May 31, 1954 at 8% is
A person travels equal distances with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 47 minutes. The total distance (in km) is:
A solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm. The height of the cone is :
A cube of edges 5 cm is cut into cubes each of edge 1 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to :
Study the following graph showing the sales forecast for the next ten weeks, to answer these questions.
Q. If the forecasted demand is met by having uniform production during the weeks at an average level, then the number of weeks during which demand will not be met is :
Average sales forecast for 10 weeks = 322
Hence there are 4 weeks during which demand will not be met
Study the following graph showing the sales forecast for the next ten weeks, to answer these questions.
Q. If the production is uniform, then what should be the minimum capacity of the storage space to store the units in excess of demand?.
Study the following graph showing the sales forecast for the next ten weeks, to answer these questions.
Q. If the maximum production capacity is 300 units, then the demand that will not be met will be
unmet demand = 475  300 = 175
Study the following graph showing the sales forecast for the next ten weeks, to answer these questions.
Q. During which year was the percentage rise/fall in sales from the previous year the higest for company A ?
The following questions are based on the following pie chart which gives the expenditure incurred in printing a magazine.
Q. What is the angle for the sector representing paper cost ?
Angle for sector representing paper cost = 360/100 × 10 = 36°
The following questions are based on the following pie chart which gives the expenditure incurred in printing a magazine.
Q. What should be the central angle of the sector representing transportation charges ?
Angle for sector representing transportation = 360/100× 4 = 14.4°
The following questions are based on the following pie chart which gives the expenditure incurred in printing a magazine.
Q. If the editorial contents development cost is Rs.30,000, then the cost of transportation can be expected to be
30% = 30,000
1% = 1000
∴ 4% = Rs 4000
The following questions are based on the following pie chart which gives the expenditure incurred in printing a magazine.
Q. For a given issue of the magazine , the miscellaneous cost is Rs.2000 and the printrun is 12500 copies. What should be the sale price if the publisher desires a profit of 5% ?
The following questions are based on the following pie chart which gives the expenditure incurred in printing a magazine.
Q. If for the same data as given in the previous question , the printrun were to be 50000 copies , the sale price per copy would have been :
Cost price per copy = 100000/50000 = Rs 2
SP at a profit of 5%
SP = 2 × 1.05 = Rs 2.10
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