Questions 61–70 of 91. Imported answers require independent review unless marked reviewed.

Topic practice 91 questionsPage 7 of 10

Question 7

Open question
GAMCQ2 marksNeeds review
Population of state X increased by x% and the population of state Y increased by y% from 2001 to 2011. Assume that x is greater than y. Let P be the ratio of the population of state X to state Y in a given year. The percentage increase in P from 2001 to 2011 is ________.
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Question 9

Open question
GAMCQ2 marksNeeds review
A square has sides 5 cm smaller than the sides of a second square. The area of the larger square is four times the area of the smaller square. The side of the larger square is _____ cm.
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Question 9

Open question
GAMCQ2 marksNeeds review
An oil tank can be filled by pipe X in 5 hours and pipe Y in 4 hours, each pump working on its own. When the oil tank is full and the drainage hole is open, the oil is drained in 20 hours. If initially the tank was empty and someone started the two pumps together but left the drainage hole open, how many hours will it take for the tank to be filled? (Assume that the rate of drainage is independent of the Head)
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Question 3

Open question
GAMCQ1 markNeeds review
Hem’s age is 5 years more than twice Hari’s age. Suresh’s age is 13 years less than 10 times Hari’s age. If Suresh is 3 times as old as Hem, how old is Hem?
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Question 3

Open question
GAMCQ1 markNeeds review

and

, where

,

,

and

are natural numbers. What is the value of

?
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Question 4

Open question
GAMCQ1 markNeeds review
Tower A is 90 m tall and tower B is 140 m tall. They are 100 m apart. A horizontal skywalk connects the floors at 70 m in both the towers. If a taut rope connects the top of tower A to the bottom of tower B, at what distance (in meters) from tower A will the rope intersect the skywalk?
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Question 4

Open question
GAMCQ1 markNeeds review
A three-member committee has to be formed from a group of 9 people. How many such distinct committees can be formed?
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Question 5

Open question
GAMCQ1 markNeeds review
The temperature

in a room varies as a function of the outside temperature

and the number of persons in the room

, according to the relation

, where

and

are constants. What would be the value of

given the following data?



25
2
32.4
30
5
42.0
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Question 5

Open question
GAMCQ1 markNeeds review
For non-negative integers,

,

,

, what would be the value of

if

?
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Question 6

Open question
GAMCQ2 marksNeeds review
A fruit seller sold a basket of fruits at 12.5% loss. Had he sold it for Rs. 108 more, he would have made a 10% gain. What is the loss in Rupees incurred by the fruit seller?
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