Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
If Sin(A+B) = SinA CosB + CosA SinB, then the value of Sin 135° is
A)
1
B)
2
C)
1/2
D)
1/√2
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '1/2' (Option C).
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)
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)
25% of a number is 400, then the number is
A)
1600
B)
1400
C)
1200
D)
1000
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '1200' (Option C).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
Two numbers when added becomes 97 and one of the numbers exceeds the other by 51. The numbers are
A)
37, 64
B)
74, 23
C)
33, 58
D)
49, 62
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '74, 23' (Option B).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
The sum of all natural numbers from 1 to 150 is
A)
11235
B)
12135
C)
11325
D)
11352
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '11352' (Option D).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
If x+y+z = 13 and x^2+y^2+z^2 = 69, then the value of xy+yz+zx is equal to
A)
50
B)
40
C)
70
D)
60
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '70' (Option C).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
Find the HCF of 4/7 and 5/15
A)
1/13
B)
1/5
C)
1/15
D)
1/25
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '1/13' (Option A).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
A table was sold for Rs 900 at a loss of 10%. The cost price of the table is
A)
Rs 800
B)
Rs 950
C)
Rs 1000
D)
Rs 1050
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is 'Rs 800' (Option A).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
What was the respective ratio between the number of candidates qualified in the written test in the year 2002 for admission in institution B and the number of candidates qualified in the written test in the year 2006 for admission to institution A ?
A)
8:5
B)
7:8
C)
7:4
D)
7:5
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '7:8' (Option B).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
A result of a survey of persons with respect to their knowledge of Hindi (H), English (E) and Mizo (M) is given. What is the ratio of those who know all the three languages to those who do not know Mizo?
A)
13/2
B)
5/9
C)
10/9
D)
2/13
Based on established principles in the relevant subject area, the correct and most appropriate choice is '2/13' (Option D).
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-II (General Mathematics & General Knowledge)
The technology behind the bitcoin digital technology is:
A)
Blockchain
B)
Bitchain
C)
Brickchain
D)
Barchain
Based on established principles in the relevant subject area, the correct and most appropriate choice is 'Blockchain' (Option A).
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 average age of 40 employees in a company is 25 years. If the age of a new employee is included, then the average increases by 1 year. What is the age of the new employee ?
A)
26 years
B)
62 years
C)
66 years
D)
60 years
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '60 years' (Option D).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
The number of spherical lead balls each of radius 2 cm can be made from a sphere of radius 8 cm are
A)
64
B)
46
C)
74
D)
86
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '86' (Option D).
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)
Indian Boxing Council (IBC) was inducted into the World Boxing Organization (WBO) in the second week of October, the headquarter of WBO is:
A)
San Juan, Puerto Rico
B)
Isla Magarita, Venezuela
C)
Santo Domingo, Dominica
D)
Bogota, Colombia
Based on established principles in Current Affairs, the correct and most appropriate choice is 'Bogota, Colombia' (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)
In the figure, O is the center of the circle. If ∠CBD = 40°, then ∠BAD is
A)
40°
B)
130°
C)
90°
D)
140°
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '130°' (Option B).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
The missing term of 1, 9, 25, 49, 81, ? is
A)
90
B)
135
C)
121
D)
125
Based on established principles in Reasoning & Mental Ability, the correct and most appropriate choice is '121' (Option C).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
At an instant the length of the shadow of a pole is 3 times the height of the pole. The angle of elevation is
A)
30°
B)
45°
C)
60°
D)
75°
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '45°' (Option B).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
In which year, the production of Motor cycles of all factories was equal to the yearly average number of Motor cycles produced during 1985-1989 ?
A)
1985
B)
1986
C)
1987
D)
1988
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '1986' (Option B).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
The Union Budget 2015-16 has delinked eight Centrally Sponsored Schemes (CSS) from the support of central government, which one of the following isn’t among them?
A)
NEGAP
B)
BRGF
C)
RGPSA
D)
PMGSY
Based on established principles in Indian Economy, the correct and most appropriate choice is 'RGPSA' (Option C).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
If a chord of a circle is equal to the radius of the circle, then the angle subtended by the chord at a point on the minor arc is
A)
60°
B)
120°
C)
30°
D)
150°
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '120°' (Option B).
