IPMAT Indore - The possible values of x in the set \1, 5, 13\ for which the mean of eight observations 5, 8, 3x + 2, 15, 27, 29, 36, 5x - 2 equals their median are | PYQs + Solutions

IPMAT Indore

Arithmetic

Medium

only 1

5 and 13

only 13

only 5

✅ Correct Option: 2

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Central Tendencies

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Let 50 distinct positive integers be chosen such that the highest among them is 100, and the average of the largest 25 integers among them exceeds the average of the remaining integers by 50. Then the maximum possible value of the sum of all the 50 integers is _________.

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The following table shows the number of employees and their median age in eight companies located in a district.

Company	Number of employees	Median age
A	32	24
B	28	30
C	43	39
D	39	45
E	35	49
F	29	54
G	23	59
H	16	63

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In company F, the lowest possible sum of the ages of all employees is:

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Suppose $a, b$ and $c$ are three real numbers such that Max $(a, b, c) \ +$ Min $(a, b, c) = 15$ , and Median $(a, b, c) \ -$ Mean $(a, b, c) = 2.$ Then the median of $a, b$ and $c$ is

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