Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
The mean of six numbers is 23. If one of the numbers is excluded, the mean of the remaining numbers is 20, then the excluded number is
A)
25
B)
43
C)
38
D)
20
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '38' (Option C).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
If the point (2,3) is on the graph of the equation 2x - ky = 4, then the value of k will be
A)
0
B)
1
C)
2
D)
3
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '3' (Option D).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
The number of natural numbers between 1 and 1000 which are divisible by 5 is
A)
197
B)
198
C)
200
D)
199
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '197' (Option A).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
What is the acronym of IDSP?
A)
Integrated Disease Surveillance Practise
B)
Integrated Development Studies and Practices
C)
Integrated Disease Surveillance Project
D)
Integrated Development System and Programme
Based on established principles in the relevant subject area, the correct and most appropriate choice is 'Integrated Disease Surveillance Practise' (Option A).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
Cube root of 0.001728 is
A)
0.17
B)
0.15
C)
0.13
D)
0.12
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '0.17' (Option A).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
The value of (3/4) * (2/3) is
A)
1/2
B)
1/3
C)
1/5
D)
1/7
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '1/3' (Option B).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
Who among the following India sportperson has been appointed as a member of International Olympic Committee’s (IOC) Athletes’ Commission?
A)
Mahendra Singh Dhoni
B)
Abhinav Bindra
C)
Saina Nehwal
D)
Sania Mirza
Based on established principles in Current Affairs, the correct and most appropriate choice is 'Abhinav Bindra' (Option B).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
The perimeter of a rectangle whose area is 650 cm2 and breadth 13 cm is
A)
156
B)
126
C)
139
D)
40
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '40' (Option D).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
A boy goes to school with a speed of 3 km per hour and returns with a speed of 2 km per hour. If he takes 5 hours in all, the distance between his home and the school is
A)
6 km
B)
5 km
C)
4 km
D)
8 km
Based on established principles in the relevant subject area, the correct and most appropriate choice is '5 km' (Option B).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
Who has written a book titled ‘Globalization and Its Discontent’?
A)
Thomas Sowell
B)
Milton Friedman
C)
Joseph Stiglitz
D)
James Robinson
Based on established principles in Literature & Linguistics, the correct and most appropriate choice is 'Milton Friedman' (Option B).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
A bag contains 8 red, 2 black and 5 white balls. One ball is drawn at random. The probability that the ball drawn is not black is
A)
2/15
B)
13/15
C)
8/15
D)
1/3
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '13/15' (Option B).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
The selling price of 16 articles is the same as the cost price of 20 articles. The gain percent is
A)
4%
B)
15%
C)
20%
D)
25%
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '20%' (Option C).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
The volume of a right cylinder is 567π cm2 and its height is 7 cm. The radius of the cylinder is
A)
81 cm
B)
9 cm
C)
18 cm
D)
21 cm
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '81 cm' (Option A).
Inspector of Statistics • Paper-III
An unbiased dice rolled on a plane. What is the probability of getting 1 or 2 or 6 on its face?
A)
1.0
B)
3.5
C)
0.75
D)
0.50
Three of the six equally likely faces are favourable, so P=(3/6)=0.5.
Inspector of Statistics • Paper-III
The data obtained by governmental and non-governmental sources are called as
A)
First hand data
B)
Secondary data
C)
Primary data
D)
Both Primary and Secondary data
Option B is correct: Secondary data.
Inspector of Statistics • Paper-III
The Laspeyres and Paasche index numbers are examples of:
A)
Aggregate index numbers
B)
Weighted price index only
C)
Weighted index numbers
D)
Weighted quantity index only
Option C is correct: Weighted index numbers.
Inspector of Statistics • Paper-III
Sampling errors are present in
A)
Sample survey
B)
Census survey
C)
In sample as well as census survey both
D)
None of the above
Option A is correct: Sample survey.
Inspector of Statistics • Paper-III
Pearson’s correlation coefficient (r) is lies between:
A)
0.2 < r < 2
B)
-1 <= r <= 1
C)
0 < r < 1
D)
None of the above
Pearson’s correlation coefficient always lies in [−1,1].
Inspector of Statistics • Paper-III
The standard deviation for the given data set is: Data: 2, 2, 2, 2, 2, 2, 2, 2, 2
A)
2 .0
B)
0.67
C)
0
D)
1.52
All nine values are 2, so every deviation from the mean is zero; hence the standard deviation is 0.
Inspector of Statistics • Paper-III
The correct expression for population mean square is
A)
S^2 = (1/N) ΣX^2 - X^2
B)
S^2 = (1/N-1) ΣX^2 - X^2
C)
S^2 = (1/n-1) ΣX^2 - X^2
D)
S^2 = N ΣX^2 - X^2 / (n-1)
Population variance is (1/N)ΣX² − X̄².
Inspector of Statistics • Paper-III
In following sentence which type of error is: P(x ∈ w | H is true) ; where w be the critical region
A)
Type-I
B)
Power of the test
C)
No error
D)
Type-II
P(reject H0 | H0 true) is the definition of a Type-I error probability.
Inspector of Statistics • Paper-III
Density function of Standard normal variate is given by
A)
1/(2π) * e^(-x^2/2)
B)
x * e^(-x^2/2σ^2) / (2π)
C)
1/(2πσ^2) * e^(-x^2/2σ^2)
D)
None of these
The standard normal density is (1/√(2π))e^(−x²/2); none of the listed expressions is written correctly.
Inspector of Statistics • Paper-III
Student’s t distribution is especially appropriate when:
A)
Sample size is large and variance known
B)
Sample size is small and population variance unknown
C)
Population is non normal
D)
Testing equality of several means
Student's t is especially useful with small samples when the population variance is unknown.
Inspector of Statistics • Paper-III
Which of the following is NOT a scale of measurement in statistics?
A)
Nominal
B)
Ordinal
C)
Interval
D)
Variable
Nominal, ordinal and interval are scales of measurement; 'variable' is not.
Inspector of Statistics • Paper-III
For two independent Normal samples, the ratio of sample variances follows:
A)
χ² distribution
B)
Normal distribution
C)
F-distribution
D)
t-distribution
For independent normal samples, the ratio of the two sample variances follows an F distribution after scaling by their degrees of freedom.
