Questions 21–30 of 46. Imported answers require independent review unless marked reviewed.

Topic practice 46 questionsPage 3 of 5

Question 6

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We have 2 rectangular sheets of paper, M and N, of dimensions 6 cm x 1 cm each. Sheet M is rolled to form an open cylinder by bringing the short edges of the sheet together. Sheet N is cut into equal square patches and assembled to form the largest possible closed cube. Assuming the ends of the cylinder are closed, the ratio of the volume of the cylinder to that of the cube is ______.
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Question 7

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GAMCQ2 marksNeeds review
Details of prices of two items P and Q are presented in the above table. The ratio of cost of item P to cost of item Q is 3:4. Discount is calculated as the difference between the marked price and the selling price. The profit percentage is calculated as the ratio of the difference between selling price and cost, to the cost (Profit % =

). The discount on item Q, as a percentage of its marked price, is ______.
Items
Cost (₹)
Profit %
Marked Price (₹)
P
5,400
---
5,860
Q
---
25
10,000
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Question 5

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The Cartesian coordinates

of a point

with polar coordinates

is
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Question 20

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BTNAT1 markNeeds review
The sum of the infinite geometric series

(rounded off to one decimal place) is ________.

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Question 41

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If the area of a triangle with the vertices

,

and

is 2 square units, the value of k is _____.

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Question 5

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The difference between the sum of the first

natural numbers and the sum of the first

odd natural numbers is _____.
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Question 6

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Repo rate is the rate at which Reserve Bank of India (RBI) lends commercial banks, and reverse repo rate is the rate at which RBI borrows money from commercial banks.
Which of the following statements can be inferred from the above page?
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Question 8

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The distance between Delhi and Agra is 233 km. A car

started traveling from Delhi to Agra and another car

started from Agra to Delhi along the same road 1 hour after the car

started. The two cars crossed each other 75 minutes after the car

started. Both cars were traveling at constant speed. The speed of car

was 10 km/hr more than the speed of car

. How many kilometers had car

traveled when the cars crossed each other?
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Question 10

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The profit shares of two companies P and Q are shown in the figure. If the two companies have invested a fixed and equal amount every year, then the ratio of the total revenue of company P to the total revenue of company Q, during 2013 - 2018 is_____.
Diagram for Biotechnology question 10

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Question 3

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The radius as well as the height of a circular cone increases by 10%. The percentage increase in its volume is ______.
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