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Three math classes : X, Y and Z take an algebra test
1. The average score of class X is 83
2. The average score of class Y is 76.
3. The average score of class Z is 85.
4. Average score of class X and Y is 79.
5. Average score of class Y and Z is 81.
What is the average score of classes X, Y, Z?
Let the number of students in class x, y & z be a, b and c respectively
Then,
Total of x = 83 a
Total of y = 76 b
Total of z = 85 c
And,
Area of a square field is 1 hectare. The length of another square field is 1% more than the length of this square field. The difference in their areas is
1 hectare = 10000 m^{2}
Area of a square field = 10000 m^{2}
let length of a square field be x m
then x^{2} = 10000
x = 100m
length of other square field = 100 + 100 x 1/100 = 101
Area of Another square field = (101)^{2} = 10201 m^{2}
∴ Difference in their areas = 10201  10000
= 201 m^{2}
A circular running path is 726 metres in circumference. Two men start from the same point and walk in opposite directions at the speed of 3.75 km. per hour and 4.5 km per hour respectively. Then when will they meet for first chance:
The two men walk in opposite directions @ 62.5 metres/minute and 75 metres/minute respectively
∴ They will meet for the first time after
AB and CD are two straight lines. Transversal EF intersects them as shown in the given figure. If b = c then
Clearly x + y = 180°
Two villages are 2 km apart.If the angles of depression of these villages when observed from a plane are found to be 45°and 60° respectively,then the height of the plane is
If x% of y is equal to z, what percent of z is x?
A boy,after giving away 80% of his pocket money to one companion and 6% of the remainder to another, has 47 paise left with him. How much pocket money did the boy have in the begining ?
The angle subtended at the centre of a circle of radius 3 m by the arc measuring 1 m is:
Into a circular drum of radius 4.2 m and height 3.5 m how many full bags of wheat can be emptied if space required for each wheat bags is 2.1m^{3}.
A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of areas of the four walls, the volume of the hall is :
A cylinder with base radius of 8 cm and height of 2 cm is melted to form a cone of height 6 cm. The radius of the cone will be :
Above graph shows the percentage growth in population in six states A, B, C, D, E, and F from 1994 to 1995 and 1995 to 1996. Study the graph and answer their questions.
Q. Population of State 'F' in 1995 was approximately what percent of its population in 1996 ?
= 66.66%
≈67%
[Let population in 1995 be 100 then population in 1996 is 150]
Above graph shows the percentage growth in population in six states A, B, C, D, E, and F from 1994 to 1995 and 1995 to 1996. Study the graph and answer their questions.
Q. If the population of State 'B' in the year 1994 was 5 lakh, what was approximately its population in the year 1996?
Population of B in 1996 = 5 × 1.55 × 1.35 lakh = 10.4625 lakhs
≈10.5 lakhs
Above graph shows the percentage growth in population in six states A, B, C, D, E, and F from 1994 to 1995 and 1995 to 1996. Study the graph and answer their questions.
Q. If the population of States C and D in 1995 are in the ratio 2 : 3 respectively and the population of State 'C' in 1994 was 2.5 lakhs, what was the population of State D in 1995 ?
Popualtion of C : Population of D = 2 : 3
Hence Population of D in 1994
= 3.75 × = 6 lakh
Population of D in 1995 = 3.75 lakhs
Above graph shows the percentage growth in population in six states A, B, C, D, E, and F from 1994 to 1995 and 1995 to 1996. Study the graph and answer their questions.
Q. In 1994 the population of States B and D are equal and the population of State B in 1996 is 20.925 lakhs. What approx. was the population of State 'D' in 1996 ?
Let population of B in 1994 be x
Then x × 1.55 × 1.35 = 20.925 lakhs
⇒ x = 10 lakhs
As in 1994, population of D = Population of B Hence Population of D in 1994 is 10 lakhs Population of D in 1996 is = 10 × 1.6 × 1.7 lakh = 27.2 lakh
≈27 lakhs
The pie chart given below shows the funding arrangements for National Highways Development ProjectsPhase 1. Study the chart carefully to answer these questions.
Funding arrangements for NHDPI(total cost: Rs.30,000 Crores)
Q. Near about 25% of the funding arrangement is through
The pie chart given below shows the funding arrangements for National Highways Development ProjectsPhase 1. Study the chart carefully to answer these questions.
Funding arrangements for NHDPI(total cost: Rs.30,000 Crores)
Q. The angle of the segment formed at the center of the pie chart, representing Cess/Market borrowings is approximately
The pie chart given below shows the funding arrangements for National Highways Development ProjectsPhase 1. Study the chart carefully to answer these questions.
Funding arrangements for NHDPI(total cost: Rs.30,000 Crores)
Q. If the toll is to be collected through an outsourced agency by allowing a maximum of 10% commission. How much amount should be permitted to be collected by the outsourced agency, so that the project is supported with Rs.1,690 Crores?
Amount required to be permitted = 1690/0.9 = Rs 1878 crore
The pie charts show estimated revenue and expenditure budgets for 20042005 for country X.
Notes: 1. Corporate tax revenues increased by Rs.2545 crore in the budget estimates for 20042005 over the estimates for 20032004.
2. Service tax brings in Rs.3990crore according to the budget for 20042005.
3. Total expenditure on defence increased by a whopping 28 percent from Rs.6030crore in 20032004 to Rs.7700crore in 20042005.
Q. The revenue generated by Custom duty, Income tax and Corporate tax according to the budget for 20042005 is.
The pie charts show estimated revenue and expenditure budgets for 20042005 for country X.
Notes: 1. Corporate tax revenues increased by Rs.2545 crore in the budget estimates for 20042005 over the estimates for 20032004.
2. Service tax brings in Rs.3990crore according to the budget for 20042005.
3. Total expenditure on defence increased by a whopping 28 percent from Rs.6030crore in 20032004 to Rs.7700crore in 20042005.
Q. What is the percentage increase in the revenue generated by corporate tax is 20042005 over 20032004 according to the budgets?
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