BKS — Bhartiya Knowledge System

Indian Mathematics MCQ Answer Key

All 75 questions with options and correct answers — for revision before the quiz

50 MCQs + 25 Quick Drill Indian Mathematics Reference Sheet
01
Q 1–50
Multiple Choice Questions
1
Who is considered the author of Aryabhatiya?
A) BrahmaguptaB) AryabhataC) BhaskaracharyaD) Pingala
B
2
In which verse does Aryabhata describe Principles of Mathematics?
A) 3.1B) 1.1C) 3.2D) 3.11
B
3
Value of π given by Aryabhata is:
A) 3.1416B) 3.1429C) 3.1315D) 3.125
D
4
Which sutra introduces the Sine function?
A) 1.1B) 3.1C) 3.2D) 3.11
C
5
Sanskrit term for sine is:
A) KotijyaB) JyāC) MandalaD) Trikonamiti
B
6
Verse 3.11 deals with:
A) GeometryB) SquaresC) TrigonometryD) Quadrilaterals
C
7
Shulba Sutras are related to:
A) AstronomyB) Geometry of altar constructionC) PoetryD) Algebra
B
8
Pythagorean theorem appears in:
A) 1.1B) 1.2C) 3.2D) 2.5
B
9
Diagonal square equals:
A) Sum of sidesB) DifferenceC) Sum of squaresD) Product
C
10
Shape constructed in 4.2.1:
A) CircleB) SquareC) TriangleD) Pentagon
B
11
Area of circle method:
A) RectangleB) Diameter formulaC) Convert to squareD) π directly
C
12
Shulba Sutras belong to:
A) BrahmanasB) SamhitasC) AranyakasD) Vedangas
D
13
Triangle formula matches:
A) BrahmaguptaB) AryabhataC) HeronD) Baudhayana
C
14
Brahmagupta lived in:
A) 1st centuryB) 5th centuryC) 7th centuryD) 10th century
C
15
Brahmagupta's text:
A) Siddhanta ShiromaniB) AryabhatiyaC) BrahmasphutasiddhantaD) Sulba Sutra
C
16
Cyclic quadrilateral formula by:
A) AryabhataB) BrahmaguptaC) ApastambaD) Panini
B
17
Brahmagupta's formula for cyclic quadrilateral area:
A) √[(s−a)(s−b)(s−c)(s−d)]B) ½bhC) πr²D) ab+cd
A
18
's' represents:
A) Smallest sideB) SumC) Semi-perimeterD) Square
C
19
Modern π value is approximately:
A) 3.121B) 3.142C) 3.155D) 3.101
B
20
Shulba means:
A) NumberB) RopeC) AngleD) Circle
B
21
Zero introduced by:
A) AryabhataB) BrahmaguptaC) BhaskaracharyaD) Baudhayana
B
22
Aryabhata's π value of 3.125 is:
A) More accurateB) Less accurateC) ExactD) Unrelated
B
23
Purpose of Shulba Sutras:
A) AltarsB) AlgebraC) PoetryD) Eclipses
A
24
Kotijya refers to:
A) CosineB) TangentC) CotangentD) Secant
A
25
Brahmagupta's formula extends:
A) AryabhataB) ShulbaC) HeronD) Baudhayana
C
26
Aryabhata's sine concept is based on:
A) RadiusB) Half chordC) Tangent lineD) Angle degree
B
27
Aryabhata used which unit for angles?
A) DegreesB) RadiansC) Minutes of arcD) Seconds
C
28
Aryabhata's work mainly contributed to:
A) AlgebraB) AstronomyC) CalculusD) Statistics
B
29
Cosine in Aryabhatiya is defined as:
A) Reciprocal sineB) Complement of sineC) Inverse sineD) Double sine
B
30
Place value system implies:
A) Roman systemB) Fixed value digitsC) Positional valueD) Binary
C
31
Sulba Sutras primarily deal with:
A) AlgebraB) Ritual geometryC) StatisticsD) Logic
B
32
Earliest geometry use was for:
A) NavigationB) Land divisionC) Ritual altarsD) Trade
C
33
Pythagorean theorem in Sulba Sutra shows:
A) Algebraic thinkingB) Geometric reasoningC) Statistical methodD) Calculus
B
34
Which is NOT from Sulba Sutras?
A) Square constructionB) Triangle areaC) Quadratic formulaD) Circle approximation
C
35
Area of triangle =
A) bhB) ½bhC) bh²D) b+h
B
36
Brahmagupta formula works only when:
A) RectangleB) SquareC) Cyclic quadrilateralD) Parallelogram
C
37
Semi-perimeter formula is:
A) a+bB) (a+b+c)/2C) (a+b+c+d)/2D) abcd
C
38
If s = 10, a=3, b=4, c=5, d=6 → expression equals:
A) √(7×6×5×4)B) √(6×5×4×3)C) √(8×7×6×5)D) √(9×8×7×6)
A
39
Aryabhata's π method uses:
A) AlgebraB) Geometric approximationC) CalculusD) Series
B
40
Indian trigonometry influenced:
A) ChinaB) Europe via ArabsC) AfricaD) America
B
41
Assertion: Aryabhata defined cosine — Reason: Cosine is complement of sine
A) Both trueB) Both falseC) A true, R falseD) A false, R true
A
42
Brahmasphutasiddhanta belongs to:
A) AryabhataB) BrahmaguptaC) BhaskaraD) Panini
B
43
Shulba Sutras belong to:
A) VedangasB) UpanishadsC) PuranasD) Smritis
A
44
Aryabhata's sine concept replaced:
A) Angle systemB) Chord systemC) RadiusD) Circle
B
45
Which is closest to modern π?
A) 3.125B) 3.1416C) 3.2D) 3.0
B
46
Geometry in Vedic period was:
A) AbstractB) PracticalC) TheoreticalD) Logical
B
47
Which mathematician worked on quadrilaterals?
A) AryabhataB) BrahmaguptaC) BhaskaraD) Panini
B
48
If sine increases, cosine:
A) IncreasesB) DecreasesC) SameD) Zero
B
49
Aryabhata's trigonometry was used in:
A) BankingB) AstronomyC) ArchitectureD) Politics
B
50
Indian mathematics contribution mainly lies in:
A) CalculusB) Algebra + Geometry + TrigonometryC) StatisticsD) Probability
B
02
Q 51–75
Quick Drill — Rapid Revision
51
Jyā refers to
Sine
52
Kotijya refers to
Cosine
53
Sulba means
Rope
54
First sine table by
Aryabhata
55
Geometry used in
Altars
56
π approx method
Geometric
57
Brahmagupta century
7th
58
Cyclic quad needs
Circle
59
Heron formula extended for
Quadrilateral
60
Ancient math use
Astronomy
61
Square construction — source
Sulba
62
Diagonal relation
Pythagoras
63
Area of circle (early method)
Approximation
64
Aryabhata's field
Astronomy
65
Vedic math base
Geometry
66
Trigonometry origin
India
67
Semi-perimeter
Half sum
68
Circle-square conversion — source
Sulba
69
Sine derived from
Chord
70
Ancient math nature
Applied
71
Brahmagupta formula type
Root expression
72
Geometry earliest use
Rituals
73
Aryabhata's number system
Place value
74
Cosine relation
Complement
75
Indian math legacy
Global influence