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PHRONESIS MIND 2024 - Inter - School Individual (English Medium)

Total questions: 25

Worksheet time: 41mins

Name
Class
Date
1.

Who was the United States Assistant Secretary of State who arrived in Sri Lanka on December 5, 2023?

a)

Donald Lu

b)

Linda Thomas-Greenfield

c)

Robert A. Wood

d)

David M Robinson

2.

Which Sri Lankan cricketer was handed a one-year ban under the ICC Anti-Corruption Code in October 2024?

a)

Nishan Madushka

b)

Praveen Jayawickrama

c)

Binura Fernando

d)

Chamika Gunasekara

3.

What is the short telephone number used in Sri Lanka to contact for inquiries related to examination matters?

a)

1911

b)

1912

c)

1913

d)

1914

4.

Who was the author awarded the Nobel Prize in Literature in the year 2023?

a)

Salman Rushdie

b)

Annie Ernaux

c)

Haruki Murakami

d)

Jon Fosse

5.

Which country surpassed Germany as the world's second-largest exporter of motor vehicles in the year 2023?

a)

South Korea

b)

United Kingdom

c)

Japan

d)

China

6.

Select the option that correctly represents the next two numbers in the following numerical sequence.

7, 29, 65, 115, .........., ..........

a)

148, 258

b)

148, 253

c)

179, 257

d)

179,253

7.

Siril travels from home to his office by bicycle at a uniform speed of 10 kmh-1, and it takes him 50 minutes to reach the office. If he travels by motorcycle at a uniform speed of 100 kmh-1, how much time will it take for him to reach the office?

a)

05 Minutes

b)

25 Minutes

c)

30 Minutes

d)

15 Minutes

8.

A hall has 5 entrance gates and 4 exit gates. It is not allowed to enter through an exit gate or exit through an entrance gate. How many ways can a person enter and then exit the hall?

a)

20

b)

15

c)

25

d)

05

9.

A factory has two machines: one is new, and the other is old. The new machine can complete a certain task in 30 hours, while the old machine takes 60 hours to complete the same task. To expedite the task, the factory manager starts both machines simultaneously. What percentage of the task will be completed in 10 hours?

a)

40%

b)

50%

c)

55%

d)

60%

10.

How many distinct words can be formed using the letters of the word "ඝරසරප" without repeating any letters?

a)

60

b)

65

c)

50

d)

55

11.

Consider this stem and leaf diagram. All possible extreme values of the distribution are,

a)

218, 219, 288

b)

218, 219, 220

c)

218, 278, 288

d)

262, 278, 288

12.

Consider the given grouped frequency distribution. The class limit and class boundary corresponding to the class interval (14–18) are, respectively:

a)

(13.5 - 18.5) and (14 - 18)

b)

(14 - 18) and (13 - 19)

c)

(14 - 18) and (13.5 - 18.5)

d)

(13 - 19) and (14 - 18)

13.

In a messokurtic distribution, if the interdecile range is 120 and the value of the third quartile (Q3) is exactly three times the value of the first quartile (Q1), what is the value of Q3?

a)

15.78

b)

31.56

c)

63.12

d)

94.68

14.

In a certain region, individuals are categorized into three income levels, and the relevant information is presented in the table. If the average monthly income of all individuals in the region is Rs. 90,000, what are the respective percentages of individuals in the high-income and middle-income categories?

a)

15% and 60%

b)

20% and 80%

c)

40% and 60%

d)

80% and 20%

15.

In a data distribution consisting of 40 observations, the median is 45, and the mean is 48. However, it was later discovered that one recorded observation of 50 was incorrect, and its actual value should be 60. After making this correction, what will be the revised values of the mean and median, respectively?

a)

45.25 and 48

b)

45.25 and 60

c)

55 and 48

d)

55 and 60

16.

Given the regression lines constructed from the observations of two correlated variables x and y, the regression line of y on x is given by 4x+10y−20 and

  • the regression line of x on y is given by 6x+5y−18.

What are the means of x and y, respectively?


a)

2 and 1.2

b)

2 and 5

c)

5 and 2

d)

5 and 7.5

17.

The correlation coefficient between advertising expenditure (X) (in thousands of rupees) and sales revenue (Y) (in thousands of rupees) is given as r=0.7.

The provided statistics are as follows:

Mean of X (Advertising Expenditure) = 54

Standard Deviation of X = 3.6

Mean of Y (Sales Revenue) = 102

Standard Deviation of Y = 12.6

Given these values, what is the expected sales revenue when the advertising expenditure is 80?

a)

156,000

b)

165,700

c)

226,300

d)

248,200

18.

If A and B are two independent events, the given probabilities are:

Probability that both events occur = 1/10, Probability that neither event occurs = 2/5, and P(A) < P(B).

Using these conditions, what is the value of P(B)?

a)

P(B) = 1/2

b)

P(B) = 1/5

c)

P(B) = 1/10

d)

P(B) = 2/3

19.

In a commercial establishment, the probability distribution for the weekly demand of a certain item is given. What is the value of Y2​ in this distribution?

a)

1/10

b)

-1

c)

1/100

d)

1

20.

What is the probability of having 53 Mondays in a normal year?

a)

1/7

b)

53/365

c)

1/53

d)

0

21.

Which of the following statements regarding the limitations of statistics is true?

a)

Falsely interpretation of the results of an analysis.

b)

Statistical methods can be used to verify any situation unconditionally.

c)

In statistics, only business phenomena can be measured.

d)

Statistical conclusions being involved in uncertainly.

22.

Consider the following statements regarding measurement scales:

A - In Nominal Scale data, the mode is meaningful.

B - In Interval Scale data, addition and subtraction are not meaningful operations.

C - Calculating the standard deviation is meaningful for Ratio Scale data.

Which of the above statements are true?

a)

Only A and B

b)

Only A and C

c)

Only B and C

d)

All A, B, and C

23.

The measurement that provides a quick and general idea about dispersion over a short period is:

a)

Quartile Deviation

b)

Range

c)

Median Deviation

d)

Median

24.

Which of the following statements regarding correlation is true?

a)

The correlation between a quantitative variable and a categorical variable cannot be quantified.

b)

The chi-square test is used to measure the correlation between two categorical variables.

c)

The linear as well as non-linear correlation between two quantitative variables is measured using Karl Pearson's product-moment correlation coefficient.

d)

When the two variables are measured on an ordinal scale, Spearman's rank correlation coefficient is more appropriate for measuring their correlation.

25.

Consider the following statements:

A - Frequency density is used in constructing a histogram for a frequency distribution with unequal class intervals.

B - A frequency polygon cannot be constructed without a histogram.

C - It is not necessary for the area of the histogram to be equal to the area enclosed by the frequency polygon.

Among the above statements, the true statements are:

a)

Only A

b)

Only B

c)

Only A and C

d)

All A, B and C