If the median of x/5, x/4, x/2, x and x/3, where x > 0, is 8, find the value of x. Option 1: 12 Option 2: 24 Option 3: 36 Option 4: 48

Answer: 24. Solution: For x>0, ordering the five values gives: x/5 < x/4 < x/3 < x/2 < x. The median (middle value) is x/3 = 8 x = 24.

Arithmetic

Central Tendency

Medium

If the median of x/5, x/4, x/2, x and x/3, where x > 0, is 8, find the value of x.

✅ Correct Option: 2

For $x>0$ , ordering the five values gives: $\frac{x}{5} < \frac{x}{4} < \frac{x}{3} < \frac{x}{2} < x$ .

The median (middle value) is $\frac{x}{3} = 8 \Rightarrow x = 24$ .

2026: 25 May Shift 2

The mean of 40 observations was 34. Upon checking, it was found that two observations were wrongly copied as 4 and 7. If incorrect observations are replaced by the corrected values 11 and 13, then find the corrected mean.

2026: 19 May Shift 2

The following table shows the ages of the patients admitted in a hospital during a year:

Age (in year)	5-15	15-25	25-35	35-45	45-55	55-65
Number of patients	6	11	19	23	14	7

Find the mean of the above data.

2026: 24 May Shift 1

The total sum in marks for 50 students in a class is 2250. Find the average marks in the class.

2026: 31 May Shift 1

Match the LIST-I with LIST-II

LIST-I (Measure of Dispersion)	LIST-II (Property of the Measure of Dispersion)
A. Range	I. Based on absolute deviation from mean or median
B. Variance	II. Based on squared deviation from mean
C. Standard Deviation	III. Square of standard deviation
D. Mean Deviation	IV. Difference between largest and smallest values

Choose the correct answer from the options given below:

2025: 30 May Shift 2

Match List I with List II

List I	List II
Statistical Measure	Definition
(A) Mode	(I) Sum of all observations divided by their count
(B) Median	(II) Measure of the spread from the mean
(C) Mean	(III) Central value when observations are arranged in order
(D) Standard Deviation	(IV) Observation which has the highest frequency

Choose the correct answer from the options given below:

2025: 14 May Shift 2

Find out the median of the following frequency distribution:

Variable	11	12	13	14	15	16	17	18	Total
Frequency	5	7	11	9	8	7	3	5	55

If the median of x/5, x/4, x/2, x and x/3, where x > 0, is 8, find the value of x.

Solution

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