Surveyor • 2019 • Technical Paper-II
The side of a square whose diagonal is 16cm is :
A)
16√5cm
B)
8√2cm
C)
5cm
D)
7.5cm
Side=diagonal/√2=16/√2=8√2cm.
Surveyor • 2019 • Technical Paper-II
The volume of sphere can be measured by using :
A)
πr3
B)
4/3 πr3
C)
4/3 πr2
D)
4/3 πr2
Volume sphere=4/3πr³.
Surveyor • 2019 • Technical Paper-II
The coordinates of a point in the third quadrant are in the form :
A)
+, +
B)
+, -
C)
-, -
D)
-, +
Third quadrant both coordinates negative (-,-).
Surveyor • 2019 • Technical Paper-II
From the following figure (triangle PQR with sides 12cm, 13cm, 5cm), find tan P :
A)
25/12
B)
7/12
C)
4/25
D)
5/12
In 5-12-13 right triangle tan P = opposite/adjacent =5/12 assuming figure labels.
Surveyor • 2019 • Technical Paper-II
The angle of depression of the top and bottom of a tower as seen from the top of a 100m high cliff are 30° and 60° respectively. Find the height of the tower.
A)
60m
B)
55.67m
C)
67.45m
D)
66.67m
Let d=100/tan60, 100-h=d·tan30=100/3 => h=66.67m.
Surveyor • 2019 • Technical Paper-II
Section formula in coordinates geometry is :
A)
((mx2 + m1x1, my2 + m1y1) / (m1 + m2))
B)
((mx2 - m1x1, my2 - m1y1) / (m1 + m2))
C)
((mx2 + m1x1, my2 + m1y1) / (m2 - m1))
D)
None of these
Internal section formula ((m*x2+m1*x1)/(m1+m2),(m*y2+m1*y1)/(m1+m2)).
Surveyor • 2019 • Technical Paper-II
Sin2 + Cos2 = ?
A)
2
B)
3
C)
1
D)
4
Identity sin²θ+cos²θ=1.
Surveyor • 2019 • Technical Paper-II
A line which intersects a circle in two distinct points is called a_______of the circle.
A)
Secant
B)
Cosecant
C)
Tangent
D)
Cotangent
Correct option: A. Secant. The selected option best matches the fact, rule, calculation, or passage-based inference required. Topic: Quantitative Aptitude.
Surveyor • 2019 • Technical Paper-II
In an isosceles triangle ABC, AB=AC=25cm and BC =14cm. The altitude from A on BC is:
A)
24cm
B)
22cm
C)
27cm
D)
25.5cm
Altitude=√(25²-7²)=√576=24cm.
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.
Surveyor • General English
Indicate the correct meaning of the idiom: Scot free
A)
punished
B)
set free
C)
freedom
D)
unpunished
'Scot free' means without suffering punishment.
Surveyor • General English
Choose the right alternative to fill in the gap: She bats her _______ as he locks eyes with him.
A)
eyelashes
B)
eyelids
C)
tongue
D)
lips
You bat your eyelashes.
Surveyor • General English
In the sentence "She had one too many drinks and now she’s extremely inebriated", inebriated means?
A)
drunk
B)
tired
C)
nearly passing out
Inebriated means drunk/intoxicated.
Surveyor • General English
Analyze the sentence and choose the correct option: "I am out of paper for the printer."
A)
simple
B)
compound
C)
negative
D)
complex
It contains one independent clause, so it is simple.
