If the radius of a right circular cone is increased by 50%, its volume increases by
Question 2.
It takes 30 minutes to empty a half -full tank by draining it at a constant rate. It is decided to simultaneously pump water into the half -full tank while draining it. What is the rate at which water has to be pumped in so that it gets filled in 10 min utes?
Question 3.
In the summer of 2012, in New Delhi, the mean temperature of Monday to Wednesday was 41° C and of Tuesday to Thursday was 43°C If the temperature on Thursday was 15% higher than that of Monday, then the temperature in °C on Thursday was
Question 4.
Taxi charges in a city consists of fixed charges and remaining depending upon the distance travelled in kilometers. If a person travels 70 kms, he pays ` 1,130 and for travelling 100 kms, he pays ` 1,550. Find the charges for travelling 140 kms.
Question 5.
Amit started a shop by investing ` 5,00,000. In the first year he incurred a loss of 5%. However, during the second year he earned a profit of 10% which in the third year rose to 12%. Calculate his % Profit.
Question 6.
A sum invested at compound interest amounts to ` 8,800 in 1 year and to 10,648 in 3 years. Calculate the rate percent and the sum.
Question 7.
If the price of sugar increased by 25%, by how much percent a housewife should reduce the consumption so as not to increase the expenditure.
Question 8.
A, B and C can finish a piece of work in 12, 15 and 20 days respectively. If all the three work at it together and they are paid ` 9,600 for the whole work, what is B’s share?
Question 9.
500 students are taking one or more courses out of Chemistry, Physics and Mathematics. Registration records indicate course enrolment as follows : Chemistry (329), Physics (186), Mathematics (295), Chemistry and Physics (83), Chemistry and Mathematics (217 ) and Physics and Mathematics (63). How many students are taking all 3 subjects ?
Question 10.
Class XII of XYZ International School has three sections - K, L and M. In Mathematics examination, the average marks obtained by these sections are 72, 60 and 50 respectively. The average marks of sections K and L taken together is 69. If the ratio of the number of students in sections L and M is 6 : 7, what is the average score of all the three sections put together ?
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Question 1.
Sheena's test had 75 questions i.e., 10 on English, 30 on Reasoning and 35 on Legal Aptitude. Although she answered 70% of the English, 40% of the Reasoning and 60% of the Legal Aptitude questions correctly, she did not pass the test because she got less than 60% of the questions right. How many questions she would have needed to answer correctly to earn a 60% passing grade ?
Question 2.
Amrit wants to sell cars at 25% above the cost price. Due to a slump in the market, his cost reduces by 5%. He thus offers a discount of 8% due to which the sales go up by 25%. Compute the change in Amrit's profit.
Question 3.
In a group of students in a class, 20 are in the debating club, 24 in the drama club and 27 in the recitation club. If 12 like drama and debate, 10 like recitation and debate, 14 like drama and recitation and 7 like all the three activities, then the total number of students in the class is
Question 4.
A garden is rectangular in shape. A sum of Rs. 1,000 was spent to make the land usable at the rate of 25 paisa per m2. The breadth of the garden is 50 m. If the length of the garden is increased by 20 m, what will be the expenditure in rupees for making the land usable, at the same rate per m2?
Question 5.
A streamer goes downstream from one port to another in 4 hours. It covers the same distance upstream in 5 hours. If the speed of stream is 2 km/h, the distance between the two ports is
Question 6.
A train running at the rate of 40 km/h passes a man riding parallel to the railway line in the same direction at 25 km/h in 48 seconds. Find the length of the train in metres.
Question 7.
Reema, Ruchi and Richa can make a painting in 15, 20 and 30 days, respectively. They undertake to make a painting for Rs. 810. The share of Reema exceeds that of Ruchi by:
Question 8.
Population of a city is 2, 96,000 out of which 1,66,000 are males. 50% population is literate. If 70% males are literate, then the number of women who are literate is:
Question 9.
The average weight of 14 students was calculated as 71. But it was later found that the weight of one student had been wrongly entered as 42 instead of 56 and of another as 74 instead of 32. The correct average is
Question 10.
A shirt was sold at a profit of 15%. If its cost had been 5% less and it had been sold for Rs. 21 less, then the profit would have been 10%. Find the cost of the shirt.
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