Surveyor • 2019 • Technical Paper-II
What number comes next in the series? 36 : ....?..... : : 64 : 512
A)
125
B)
216
C)
135
D)
120
Pattern x²:x³, 6²=36→6³=216 and 8²=64→8³=512.
Surveyor • 2019 • Technical Paper-II
Tan = ?
A)
sec / sin
B)
cot / cos
C)
sin / sec
D)
cot / cos
Correct tanθ = Perpendicular/Base = sinθ/cosθ = sinθ·secθ; options misprinted, closest is C representing sin·sec relation.
Surveyor • 2019 • Technical Paper-II
Identify the correct pattern based on the provided visual sequence (refer to paper).
A)
Option a
B)
Option b
C)
Option c
D)
Option d
Based on reasoning / service rules.
Surveyor • 2019 • Technical Paper-II
If the perimeter of a circle is equal to that of square, then the ratio of their areas is
A)
22:7
B)
14:11
C)
7:22
D)
11:14
If 2πr=4a, area ratio πr²/a²=4/π=14/11.
Surveyor • 2019 • Technical Paper-II
Identify the correct pattern based on the provided visual sequence (refer to paper).
A)
Option a
B)
Option b
C)
Option c
D)
Option d
Based on reasoning / service rules.
Surveyor • 2019 • Technical Paper-II
The most common tool used for construction in geometry is :
A)
Compass
B)
Protactor
C)
Pen
D)
None of these
Correct option: A. Compass. The selected option best matches the fact, rule, calculation, or passage-based inference required. Topic: Quantitative Aptitude.
Surveyor • 2019 • Technical Paper-II
Find the value of (Cos 30° + Sin 60°) / (1 + Cos 60° + Sin 30°)
A)
5
B)
2.5
C)
2√3
D)
3√2
Numerator cos30+sin60=√3, denominator 1+0.5+0.5=2, value √3/2; among given options containing √3, C chosen but exact value is √3/2, options appear erroneous.
Surveyor • 2019 • Technical Paper-II
Point out which number will be on the opposite face to the number 3 (refer to cube diagrams in paper).
A)
1
B)
4
C)
6
D)
5
Cube opposite face logic (standard dice) 3 opposite 4.
Surveyor • 2019 • Technical Paper-II
The angle in a semi circle is a :
A)
Right angle
B)
Acute angle
C)
Straight angle
D)
Obtuse angle
Correct option: A. Right angle. The selected option best matches the fact, rule, calculation, or passage-based inference required. Topic: Quantitative Aptitude.
Surveyor • 2019 • Technical Paper-II
Identify the correct pattern based on the provided visual sequence (refer to paper).
A)
Option a
B)
Option b
C)
Option c
D)
Option d
Based on reasoning / service rules.
Surveyor • 2019 • Technical Paper-II
What number comes next in the series? 5, 9, 17, ...... , 65, 129
A)
23
B)
29
C)
33
D)
49
Pattern ×2-1 gives 5,9,17,33,65,129.
Surveyor • 2019 • Technical Paper-II
A large cube painted white on all six faces, is cut into 27 smaller identical cubes. How many of the smaller cubes have at least one face painted white?
A)
20
B)
23
C)
24
D)
26
26 cubes have at least one painted face; only central cube 1 has none, 27-1=26.
