19 multiple-choice (MCQ / objective) questions from this chapter, in every exam-style shape used in the paper. Every question comes with an explanation along with the answer, so you remember why the option is correct, not just which one it is.
1 Direct Questions
Direct Questions
- 1 markWhich of the three methods of scale is considered the most suitable and universal?
(A) Statement of Scale(B) Representative Fraction (R.F.)(C) Graphical or Bar Scale(D) None of the above - 1 markOn a map, the distance between two places is known, in the language of scale, as the:
(A) Denominator(B) Numerator(C) Representative Fraction(D) Statement of Scale - 1 markWhat is a network of lines and polygons drawn without a scale called?
(A) A map(B) A sketch(C) A projection(D) A topographical map - 1 markHow many metres make one kilometre?
(A) 10 metres(B) 100 metres(C) 1,000 metres(D) 10,000 metres - 1 markIn the geometric method of dividing a line of unequal length into N equal parts, at what angle are the auxiliary lines drawn?
(A) 20° or 25°(B) 30° or 35°(C) 40° or 45°(D) 60° or 65° - 1 markAccording to the chapter, in how many ways is the relationship between the map and the ground expressed?
(A) Two(B) Three(C) Four(D) Five
2 Assertion-Reason
Assertion-Reason
- 1 markAssertion (A): The Representative Fraction of a Graphical Scale built on the statement ‘1 inch represents 1 mile’ will be 1:63,360. Reason (R): One mile equals 63,360 inches.
(A) Both A and R are true, and R is the correct explanation of A(B) Both A and R are true, but R is not the correct explanation of A(C) A is true, but R is false(D) A is false, but R is true
3 Match the Following
Match the Following
- 1 markMatch Column A with Column B correctly. Column A: 1) Statement of Scale 2) Graphical Scale 3) Representative Fraction 4) Sketch. Column B: a) Expresses distance as a fraction without stating the unit b) States the measured distance in a written sentence c) A network of lines and polygons drawn without a scale d) Marks primary and secondary divisions on a horizontal line.
(A) 1-b, 2-d, 3-a, 4-c(B) 1-a, 2-b, 3-c, 4-d(C) 1-c, 2-a, 3-d, 4-b(D) 1-d, 2-c, 3-b, 4-a - 1 markMatch Column A with Column B correctly. Column A: 1) R.F. 1:24,000 2) R.F. 1:36,000 (Metric/centimetre reading) 3) R.F. 1:36,000 (English/inch reading) 4) R.F. 1:253,440. Column B: a) 1 cm represents 360 metres b) 1 inch represents 1,000 yards c) 1 cm represents 2.53 km d) 1 unit on the map represents 24,000 units on the ground.
(A) 1-b, 2-c, 3-d, 4-a(B) 1-a, 2-d, 3-c, 4-b(C) 1-c, 2-b, 3-a, 4-d(D) 1-d, 2-a, 3-b, 4-c
4 Statement-Based Questions
Statement-Based Questions
- 1 markStatement I: The Statement of Scale becomes invalid when the map is enlarged or reduced. Statement II: The Graphical Scale also becomes invalid when the map is enlarged or reduced.
(A) Both statements are correct(B) Statement I is correct, Statement II is incorrect(C) Both statements are incorrect(D) Statement I is incorrect, Statement II is correct - 1 markStatement I: Before 1957, the English System was prevalent in India for linear measurement. Statement II: After 1957, the Metric System came into use in India.
(A) Both statements are correct(B) Statement I is correct, Statement II is incorrect(C) Both statements are incorrect(D) Statement I is incorrect, Statement II is correct
5 Arrange in the Correct Order
Arrange in the Correct Order
- 1 markArrange the following steps of constructing a Graphical Scale (in km/m) from R.F. 1:50,000 in the correct order: (1) Calculating the ground distance for the 15 cm length and converting it into kilometres (2) Taking a conventional length of about 15 cm (3) Working out the new line length for the nearest round number of km (4) Drawing the line and dividing it into main and sub-divisions.
(A) (2)->(1)->(3)->(4)(B) (1)->(2)->(3)->(4)(C) (4)->(3)->(2)->(1)(D) (2)->(3)->(1)->(4) - 1 markArrange the following English-system units in increasing order (smallest to largest): yard, inch, furlong, foot.
(A) Yard -> Furlong -> Foot -> Inch(B) Foot -> Inch -> Furlong -> Yard(C) Furlong -> Yard -> Foot -> Inch(D) Inch -> Foot -> Yard -> Furlong
6 Odd One Out
Odd One Out
- 1 markWhich of the following is NOT a method of expressing scale?
(A) Statement of Scale(B) Representative Fraction(C) Sketch(D) Graphical Scale
7 Passage-Based Questions
Passage-Based Questions
Passage
To measure horizontal distances between two points on the ground, kilometres, metres and centimetres are used. Sometimes miles, furlongs, yards and feet are also heard of. Two different systems of measurement are used across different countries of the world. The first is called the Metric System of Measurement, used in India and many other countries. The second is called the English System of Measurement, prevalent in the United States and the United Kingdom. India, too, used this system for measuring and showing linear distances before 1957.
- 1 markAccording to the passage, until what year was the English System used in India to measure linear distances?
(A) 1947(B) 1950(C) 1957(D) 1962 - 1 markAccording to the passage, in which two countries is the English measurement system said to be prevalent?
(A) India and the United Kingdom(B) The United States and the United Kingdom(C) India and the United States(D) France and the United Kingdom
Passage
If the given scale is 1:36,000, a person familiar with the Metric System will read the given units by converting them into centimetres, i.e. 1 cm on the map equals 36,000 cm on the ground, which expresses 1 cm represents 360 metres (dividing the denominator’s centimetres by 100 to get metres). Another person familiar with the English System will read the same scale by converting it into inches, understanding 1 inch on the map as representing 1,000 yards (dividing 36,000 by 36).
- 1 markAccording to the passage, what is the Metric (centimetre) reading of R.F. 1:36,000?
(A) 1 cm represents 36 metres(B) 1 cm represents 360 metres(C) 1 cm represents 3,600 metres(D) 1 cm represents 36,000 metres - 1 markAccording to the passage, how is the same R.F. (1:36,000) read in the English (inch) system?
(A) 1 inch represents 100 yards(B) 1 inch represents 360 yards(C) 1 inch represents 1,000 yards(D) 1 inch represents 36,000 yards
8 True / False
True / False
- 1 markConsider the following statements: (1) The numerator of the Representative Fraction is variable and can be of any value. (2) The denominator of the Representative Fraction represents the actual ground distance. (3) An angle of 40° or 45° is used to divide an unequal line into equal parts. Which of these statements are correct?
(A) 1, 2 and 3(B) Only 1 and 2(C) Only 1 and 3(D) Only 2 and 3
Answer Key and Explanations
Direct Questions
- (B) The Representative Fraction does not mention the unit of scale (e.g. 1:24,000), so it can be read by anyone in any system of measurement of their choice, which is what makes it the most suitable and universal method.
- (B) In the Representative Fraction, the map distance is called the Numerator (the number above the line in the fraction, always 1 unit), while the actual ground distance is called the Denominator (the number below the line).
- (B) Per the chapter’s own opening definition, a network of lines and polygons that does not carry a scale is called merely a “sketch”, not a map. Scale is an essential element of all maps.
- (C) Per Box 2.1 (Metric System of Measurement), 1 km = 1,000 metres, 1 metre = 100 centimetres, and 1 centimetre = 10 millimetres.
- (C) Per the text, auxiliary lines are drawn at a convenient angle of 40° or 45° from the start and end nodes of the line; N equal small divisions are then marked on them and joined to divide the original unequal line into N equal parts.
- (B) According to the chapter, the relationship between the map and the ground can be expressed in three ways: Statement of Scale, Graphical or Bar Scale, and Representative Fraction (R.F.).
Assertion-Reason
- (A) A is true and R directly explains it: since 1 mile = 63,360 inches, the statement ‘1 inch represents 1 mile’ can be rewritten, after converting units, as ‘1 inch represents 63,360 inches’, i.e. R.F. 1:63,360.
Match the Following
- (A) Correct match: 1-b, 2-d, 3-a, 4-c. Statement of Scale: a written sentence; Graphical Scale: primary and secondary divisions on a line; Representative Fraction: distance expressed as a fraction without a unit; Sketch: a network of lines and polygons without a scale.
- (D) R.F. 1:24,000 directly means 1 unit on the map = 24,000 units on the ground (d). R.F. 1:36,000’s Metric (centimetre) reading is ‘1 cm represents 360 metres’ (a), and its English (inch) reading is ‘1 inch represents 1,000 yards’ (b). R.F. 1:253,440’s statement is ‘1 cm represents 2.53 km’ (c). Correct match: 1-d, 2-a, 3-b, 4-c.
Statement-Based Questions
- (B) Statement I is correct: this is the Statement of Scale’s key limitation. Statement II is incorrect: the Graphical Scale has exactly the opposite property, it enlarges or reduces along with the map, so it remains valid even when the map’s size changes.
- (A) Both statements are correct: per the text, the English System was used in India for measuring and showing linear distances before 1957; the Metric System came into use in India (and many other countries) after that.
Arrange in the Correct Order
- (A) The correct order: first, a conventional length of about 15 cm is taken (2); then the resulting ground distance is calculated and converted into km (1); since this value (such as 7.5) is usually not a round number, the new line length for the nearest round km is worked out (3); finally, that new-length line is drawn and divided into main and sub-divisions (4).
- (D) Per Box 2.1, 1 foot = 12 inches, 1 yard = 3 feet (=36 inches), 1 furlong = 220 yards. So in increasing order: inch (smallest) -> foot -> yard -> furlong (largest).
Odd One Out
- (C) Statement of Scale, Representative Fraction and Graphical Scale are all methods of expressing the map-to-ground relationship, while a sketch is itself scale-less, making it the odd one out.
Passage-Based Questions
- (C) According to the passage, the English System was used to measure and show linear distances in India before 1957.
- (B) According to the passage, the English measurement system is prevalent in both the United States and the United Kingdom.
- (B) According to the passage, reading R.F. 1:36,000 in centimetres gives ‘1 cm represents 360 metres’ (dividing 36,000 cm by 100 to convert to metres).
- (C) According to the passage, converting into inches gives ‘1 inch represents 1,000 yards’ (dividing 36,000 by 36, the number of inches in a yard).
True / False
- (D) Statement 1 is incorrect: the numerator of a Representative Fraction is always fixed at 1 unit, not variable. Statement 2 is correct: the denominator expresses the actual ground distance, in units. Statement 3 is correct: this angle is part of the geometric method for dividing an unequal line into N equal parts. So the correct answer is ‘Only 2 and 3’.
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