Questions 11–20 of 49. Imported answers require independent review unless marked reviewed.

Topic practice 49 questionsPage 2 of 5

Question 3

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How many 4-digit positive integers divisible by 3 can be formed using only the digits , such that no digit appears more than once in a number?
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Question 4

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The sum of the following infinite series is

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Question 5

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In an election, the share of valid votes received by the four candidates A, B, C, and D is represented by the pie chart shown. The total number of votes cast in the election were 1,15,000, out of which 5,000 were invalid.
Diagram for Architecture and Planning question 5

Based on the data provided, the total number of valid votes received by the candidates B and C is
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Question 7

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The probability of a boy or a girl being born is 1/2. For a family having only three children, what is the probability of having two girls and one boy?
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Question 8

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GAMCQ2 marksNeeds review
Person 1 and Person 2 invest in three mutual funds A, B, and C. The amounts they invest in each of these mutual funds are given in the table.

Mutual fund A
Mutual fund B
Mutual fund C
Person 1
₹10,000
₹20,000
₹20,000
Person 2
₹20,000
₹15,000
₹15,000
At the end of one year, the total amount that Person 1 gets is ₹500 more than Person 2. The annual rate of return for the mutual funds B and C is 15% each. What is the annual rate of return for the mutual fund A?
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Question 3

Open question
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A certain country has 504 universities and 2591 colleges. These are categorised into Grades I, II, and III as shown in the given pie charts. What is the percentage, correct to one decimal place, of higher education institutions (colleges and universities) that fall into Grade III?
Diagram for Architecture and Planning question 3

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Question 4

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The minute-hand and second-hand of a clock cross each other ______ times between 09:15:00 AM and 09:45:00 AM on a day.
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Question 7

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Consider the following inequalities


where

and

are positive integers. The value of

is ______.
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Question 9

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How many pairs of sets (S,T) are possible among the subsets of that satisfy the condition that S is a subset of T?
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Question 2

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The average of the monthly salaries of M, N and S is ₹ 4000. The average of the monthly salaries of N, S and P is ₹ 5000. The monthly salary of P is ₹ 6000.
What is the monthly salary of M as a percentage of the monthly salary of P?
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