Arithmetic

Central Tendency

Medium

Dittee has 10 purses and each of which having an average of 25 lipsticks in each purse. Further, it is known that each purse has a minimum of 8 lipsticks and none of the purse has identical number of lipsticks.

Determine that what can be the maximum number of lipsticks that Dittee shall have in any of her purse?

142

239

111

✅ Correct Option: 1

Total number of purses = 10

Average lipsticks per purse = 25

Total lipsticks = $10 \times 25 = 250$

To maximize the number of lipsticks in one purse, we minimize the number in the other 9 purses.

Given constraints:

Each purse must have at least 8 lipsticks
No two purses can have the same number of lipsticks

The minimum possible values for 9 purses are: 8, 9, 10, 11, 12, 13, 14, 15, 16

Sum of lipsticks in these 9 purses:

$8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16$

$= (8 + 16) + (9 + 15) + (10 + 14) + (11 + 13) + 12$

$= 24 + 24 + 24 + 24 + 12$

$= 108$

Maximum lipsticks in the 10th purse:

$= 250 - 108$

$= 142$

Therefore, the maximum number of lipsticks in any purse is 142.

2026: 31 May Shift 2

The mean of 30 observations was 15. Upon checking, it was found that two observations were wrongly taken as 2 and 5. If incorrect observations are replaced by the corrected values 7 and 11, then the corrected mean is?

2025: 29 May Shift 1

The median and mean of 7 observations are 9 and 11 respectively. If 2 is subtracted from each observation, then the new median and the new mean will respectively be which of the following?

2025: 15 May Shift 1

Read the information given in the table carefully and answer the question that follows:

NUMBER OF CALCULATORS SOLD BY SHOPS P, Q, R, & S IN JUNE, JULY AND AUGUST

STATIONERY SHOP	JUNE	JULY	AUGUST
P	112	100	130
Q	100	88	124
R	110	80	46
S	96	94	86

(A) The difference between the total number of calculators sold by shops P and Q together in August and the number of calculators sold by shops R and S together in June is 42

(B) The average number of calculators sold by Shop S in the three months is 92

(C) The respective ratio between the total number of calculators sold by shops P and Q in July and the total number of calculators sold by shop Q in August is 45 : 31

Choose the correct answer from the options given below:

2022: 17 Aug Shift 1

The median of data in numerals is

2025: 27 May Shift 1

The relation between Mean, Median and Mode for symmetrical distribution is:

2023: 5 June Shift 2

If mean of the data 5, 6, 8, 13, p+3, 8, 3 is 7 and its median is q, then find $\sqrt{p+q}$ .

Solution

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