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The average age of a husband and wife was 23 years at the time of their marriage. After 5 years they have a one year old child. The average age of the family now is
Nine persons went to a hotel for taking their meals. Eight of them spent Rs 12 each over their meals and the ninth spent Rs 8 more than the average expenditure of all the nine. Total money spent by them was
Let the average expenditure of all the nine be Rs. x.
Then. 12 × 8 + (x + 8) = 9x
⇒ x = 13
Total money spent = 9x = 9 × 13 = Rs. 117
If 1/x = 3 and y = 4, then what is x in terms of y?
If α and β are the two roots of the equation 2x^{2}7x3=0, then find the value of (α+2)(β+2)
The minute hand and the hour hand of a clock are 14 cm and 7 cm long respectively. The total distance covered by their tips in one day is
Distance Travel by hour hand in one day is = 2 × 2 πr
= 2 × 2 × (22/7) × 7 = 88 cm
Distance Travel by minute hand in one day is = 2 πr × 24
= 2 × (22/7) × 14 × 24 = 2112 cm
Total distance covered by their tips is = 2112 + 88 = 2200 cm = 22m
The wheel of a scooter has a diameter of 70 cm. The number revolution it must make to maintain a speed of 33 km/hour is
A sum invested for 2 years 4 months at the rate of pa compounded annually will amount to Rs. 14,641. The sum is closest to
A park is in form of a rectangle 120m x 100m. At the centre of the park is a circular lawn. The area of the park excluding the lawn is 10614 m^{2}. The cost of grass carpeting the lawn @ Rs. 27/m^{2} is
Area of the park = 100 × 120
= 12000 m^{2}
Area of the park excluding the lawn = 10614 m^{2}
∴ The Area of the lawn = 12000  10614 = 1386 m^{2}
The Cost of fencing the lawn = Rs. (27 × 1386) = Rs. 37422.00
If the arithmetic mean (A.M) of seventy five numbers is calculated, it is 35. If each number is increased by 5, then A.M.of new numbers is
In the given figure AD and AF are tangents to the circle. Then the correct statement out of the following is
BE = BD and CE = CF
pr. ∆ABC = AB + BE + CE + CA
= AB + BC + CF + CA
= AD + AF = 2AD[as AD = AF]
All sides of a polygon of 36 sides are equal. Each of its interior angle is of mesure
The angle of elevation of an object from a point P on the level ground is α . Moving d metres on the ground towards the objcet, the angle of elevation is found to be β . Then the height (in metres) of the object is
A number when divided by 32 leaves the remainder 29.This number when divided by 8 will leave the remainder
Let x be the number and y be the quotient
Then x = 32 × y + 29
= (8 × 4 × y) + (8 × 3) + 5
= 8 × (4y + 3) + 5
Hence required remainder is 5
In a certain shop, which stocks four types of caps,there are 1/3 as many red caps as blue and 1/2 as many green caps as red caps. There are 42 blue caps, then what percent of the total caps in the shop are blue?
If 5% more is gained by selling an article for Rs 350, then by selling it for Rs 340,the cost of the article is
Let C.P. be Rs x
Then, 5% of x = (350  340) = 10
⇒ x/20 = 10
⇒ x = 200
A train 110 m long takes 3 seconds to pass a standing man. How long is the platform if the train passes through it in 15 seconds moving with the same speed?
Speed of the train = 110/3 m/s
∴ Length of the platform
= Speed of train x Time taken to pass the platform
= ( 110/3 x 15) m = 550 m
Water flows through a cylindrical pipe of internal diameter 7 cm at 2 m per second. If the pipe is always half full, then what is the volume of water (in litres) discharged in 10 minutes?
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 :
In a school the periodical examinations are held every second month. In a session during April 2001March 2002, a student of Class IX appeared for each of the perodical exams. The aggregate marks obtained by him in each periodical exam are represented in the line graph given below. Study the graph and answer the question based on it given below.
Marks obtained by a student in six periodical exams held in every two months during the years in the session 200102. Maximum total marks in each periodical exam = 500.
Q. The total number of marks obtained in Feb. 02 is what per cent of the total marks obtained in Apr. 01 ?
From the graph that the student obtained 360, 365, 370, 385, 400 and 405 marks in periodical exams held in Apr 01, Jun 01, Aug 01, Oct 01, Dec 01 and Feb 02 respectively.
Required percentage = (405/360 × 100) % = 112.5%
In a school the periodical examinations are held every second month. In a session during April 2001March 2002, a student of Class IX appeared for each of the perodical exams. The aggregate marks obtained by him in each periodical exam are represented in the line graph given below. Study the graph and answer the question based on it given below.
Marks obtained by a student in six periodical exams held in every two months during the years in the session 200102. Maximum total marks in each periodical exam = 500.
Q. What are the average marks obtained by the student in all the periodical exams during the last session ?
Average marks obtained in all the periodical exams
= 1/6 × [360 + 365 + 370 + 385 + 400 + 405] = 380.83 ≈ 381
In a school the periodical examinations are held every second month. In a session during April 2001March 2002, a student of Class IX appeared for each of the perodical exams. The aggregate marks obtained by him in each periodical exam are represented in the line graph given below. Study the graph and answer the question based on it given below.
Marks obtained by a student in six periodical exams held in every two months during the years in the session 200102. Maximum total marks in each periodical exam = 500.
Q. What is the percentage of marks obtained by the student in the periodical exams of Aug. 01 and Oct. 01 taken together ?
In a school the periodical examinations are held every second month. In a session during April 2001March 2002, a student of Class IX appeared for each of the perodical exams. The aggregate marks obtained by him in each periodical exam are represented in the line graph given below. Study the graph and answer the question based on it given below.
Marks obtained by a student in six periodical exams held in every two months during the years in the session 200102. Maximum total marks in each periodical exam = 500.
Q. In which periodical exams there is a fall in percentage of marks as compared to the previous periodical exams ?
As is clear from the graph, the total marks obtained in periodical exams, go on increasing.
Since, the maximum marks for all the periodical exams are the same; it implies that the percentage of marks also goes on increasing.
Thus, in none of the periodical exams, there is a fall in percentage of marks compared to the previous exam.
Above circle graph shows the composition of Exports and Imports percent during 199899. Study the graph carefully and answer the questions.
Q. India's trade balance during the year 199899 was
As observable from the above piecharts, imports are greater than exports.
∴∴ India's trade balance is unfavourbale
Above circle graph shows the composition of Exports and Imports percent during 199899. Study the graph carefully and answer the questions.
Q. Maximum export contribution has been due to
As observable from the graph, maximum export contribution is due to Manufactured goods
Above circle graph shows the composition of Exports and Imports percent during 199899. Study the graph carefully and answer the questions.
Q. The import of capital goods and other bulk items incurred nearly ___ of total expenditure.
Required % = (16.6 +35.9)% = 52.5%
Required Answer = 50%
Above circle graph shows the composition of Exports and Imports percent during 199899. Study the graph carefully and answer the questions.
Q. The imports exceeded exports by about ____ millions.
Imports exceeded by US $ (41857.933650.5) million ≈ US $ 8200 million
Above circle graph shows the composition of Exports and Imports percent during 199899. Study the graph carefully and answer the questions.
Q. The export of agriculture and allied products was to the tune of US$.
Export of agricultural and allied products (in US$)
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