Quantitative Aptitude MCQs Set 01

Multiple Choice Questions (MCQs) for General Aptitude Arithmetic Ability: Quantitative Aptitude

Review structured MCQ sets for General Aptitude Arithmetic Ability Quantitative Aptitude. Built according to official Aptitude guidelines, these downloadable questions support daily revision and core concept reinforcement.

Practice Quantitative Aptitude MCQs for General Aptitude Arithmetic Ability

Access the complete set of multiple-choice questions for Quantitative Aptitude below. This focused format allows students to isolate specific topics for thorough review and uninterrupted practice alongside official Aptitude textbooks.

Multiple Choice Questions

Question 1: Let the coefficient of the middle term of (1 + x)²ⁿ be α and those of the middle terms of (1 + x)²ⁿ⁻¹ be β and γ. Which relation is correct?
(a) α = β + γ
(b) α > β + γ
(c) α < β + γ
(d) α = βγ
Show Answer & Explanation

Answer: (a) α = β + γ

Explanation:
1. C(2n − 1, n − 1) + C(2n − 1, n) = C(2n, n).

Question 2: If C(20, n + 2) = C(20, n − 2), then n is equal to
(a) 10
(b) 8
(c) 12
(d) 16
Show Answer & Explanation

Answer: (a) 10

Explanation:
1. (n + 2) + (n − 2) = 20.

Question 3: What is the number of terms in the expansion of [(2x − 3y)²(2x + 3y)²]²?
(a) 5
(b) 4
(c) 8
(d) 16
Show Answer & Explanation

Answer: (a) 5

Explanation:
1. It is (4x² − 9y²)⁴, which has 5 terms.

Question 4: In the expansion of (1 + ax)ⁿ the first three terms are 1, 12x and 64x² respectively. What is n?
(a) 9
(b) 6
(c) 10
(d) 12
Show Answer & Explanation

Answer: (a) 9

Explanation:
1. na = 12 and C(n, 2)a² = 64 give (n − 1)/n = 8/9.

Question 5: Question: The expenditure of Company B in 2003 and 2004 were in the ratio 5 : 7. What was the respective ratio of their incomes?

The table gives the per cent profit earned by two companies A and B over the years (data of a line graph). Profit = Income − Expenditure and Profit % = (Profit/Expenditure) × 100.

Company20032004200520062007
A35%25%50%40%35%
B40%30%35%45%30%

(a) 8 : 13
(b) 10 : 13
(c) 11 : 14
(d) 13 : 14
(e) None of these
Show Answer & Explanation

Answer: (b) 10 : 13

Explanation:
1. Incomes = 1.40 × 5 : 1.30 × 7 = 7 : 9.1 = 70 : 91 = 10 : 13.

Question 6: If the numerator and the denominator of a proper fraction are increased by the same positive quantity, then the resulting fraction is
(a) always greater than the original fraction
(b) always less than the original fraction
(c) always equal to the original fraction
(d) None of these
Show Answer & Explanation

Answer: (a) always greater than the original fraction

Explanation:
1. For a proper fraction a/b (a < b) and k > 0, (a + k)/(b + k) − a/b = k(b − a)/[b(b + k)] > 0, so it always increases. E.g. 1/2 → 3/4.

Question 7: Which one of the following is correct?
(a) −7/10 < −2/3 < −5/8
(b) −5/8 < −2/3 < −7/10
(c) −5/8 < −7/10 < −2/3
(d) −7/10 < −5/8 < −2/3
Show Answer & Explanation

Answer: (a) −7/10 < −2/3 < −5/8

Explanation:
1. −7/10 = −0.7, −2/3 ≈ −0.667, −5/8 = −0.625, so −7/10 < −2/3 < −5/8.

Question 8: Given that 0.111... = 1/9, 0.444... is equal to:
(a) 1/90
(b) 2/45
(c) 1/99
(d) 4/9
Show Answer & Explanation

Answer: (d) 4/9

Explanation:
1. 0.444... = 4 × 0.111... = 4/9.

Question 9: The value of 0.0373737... (recurring 37) is
(a) 37/1000
(b) 37/990
(c) 1/37
(d) 1/27
Show Answer & Explanation

Answer: (b) 37/990

Explanation:
1. Let x = 0.0373737...; 100x − x = 3.7, so x = 3.7/99 = 37/990.

Question 10: What is the value of 0.2̄ + 0.23̄ (bars over the repeating digits 2 and 23)?
(a) 0.45̄ (45 repeating)
(b) 0.43̄
(c) 0.223̄
(d) 0.2̄23
Show Answer & Explanation

Answer: (a) 0.45̄ (45 repeating)

Explanation:
1. 2/9 + 23/99 = 45/99 = 5/11 = 0.4545...

Question 11: If point M is 9m south of Point S, what is the shortest distance between point R and M?

Ankur starts his journey from point T, walks 8m towards East to reached at point P, then takes a right turn and walks for 15m to reach point X. From point X he takes a left turn and walks for 7m to reach at point S, from point S, he takes a right turn and walks 14m to reach at point J, then takes a right turn and walks 18m to reach point O. From point O, He walks 14m in north direction and reached point H.
(a) 26m
(b) 22m
(c) 21m
(d) 24m
(e) 25m
Show Answer & Explanation

Answer: (e) 25m

Explanation:
1. The correct answer is option (e): 25m.

Question 12: What is the total distance covered by Ankur from point T to point H?

Ankur starts his journey from point T, walks 8m towards East to reached at point P, then takes a right turn and walks for 15m to reach point X. From point X he takes a left turn and walks for 7m to reach at point S, from point S, he takes a right turn and walks 14m to reach at point J, then takes a right turn and walks 18m to reach point O. From point O, He walks 14m in north direction and reached point H.
(a) 76m
(b) 65m
(c) 68m
(d) 74m
(e) 75m
Show Answer & Explanation

Answer: (a) 76m

Explanation:
1. The correct answer is option (a): 76m.

Question 13: Pointing to a lady, Dinesh says to his only Brother, "She is daughter of my mother’s only daughter in law". Dinesh’s brother is unmarried. How is the lady related to Dinesh?

Ankur starts his journey from point T, walks 8m towards East to reached at point P, then takes a right turn and walks for 15m to reach point X. From point X he takes a left turn and walks for 7m to reach at point S, from point S, he takes a right turn and walks 14m to reach at point J, then takes a right turn and walks 18m to reach point O. From point O, He walks 14m in north direction and reached point H.
(a) Brother
(b) Daughter-in-law
(c) Sister
(d) Daughter
(e) Wife
Show Answer & Explanation

Answer: (d) Daughter

Explanation:
1. The correct answer is option (d): Daughter.

Question 14: If log₁₀(x + 1) + log₁₀ 5 = 3, then what is the value of x?
(a) 199
(b) 200
(c) 299
(d) 300
Show Answer & Explanation

Answer: (a) 199

Explanation:
1. 5(x + 1) = 1000 gives x = 199.

Question 15: What is the number of digits in the numeral form of 8¹⁷ (given log₁₀ 2 = 0.3010)?
(a) 16
(b) 51
(c) 15
(d) 14
Show Answer & Explanation

Answer: (a) 16

Explanation:
1. 17 × 3 × 0.3010 = 15.35, so there are 16 digits.

Question 16: If the roots of x² − 4x − log₃ N = 0 are real, what is the minimum value of N?
(a) 1/81
(b) 1/256
(c) 1/27
(d) 1/64
Show Answer & Explanation

Answer: (a) 1/81

Explanation:
1. 16 + 4 log₃ N ≥ 0 gives log₃ N ≥ −4.

Question 17: If r^(1/3) + 1/r^(1/3) = 3 for a real number r ≠ 0, then what is r + 1/r?
(a) 18
(b) 27
(c) 9
(d) 36
Show Answer & Explanation

Answer: (a) 18

Explanation:
1. Cubing gives r + 1/r + 3(3) = 27.

Question 18: If x = 2^(1/3) − 2^(−1/3), what is the value of 2x³ + 6x?
(a) 3
(b) 1
(c) 2
(d) 4
Show Answer & Explanation

Answer: (a) 3

Explanation:
1. x³ + 3x = 2 − 1/2 = 3/2.

Question 19: What is the value of √(5√(5√(5√...∞)))?
(a) 5
(b) √5
(c) 1
(d) 5^(1/4)
Show Answer & Explanation

Answer: (a) 5

Explanation:
1. x = √(5x) gives x = 5.

Question 20: If x = 2 + 2^(1/3) + 2^(2/3), what is the value of x³ − 6x² + 6x?
(a) 2
(b) 1
(c) 3
(d) −2
Show Answer & Explanation

Answer: (a) 2

Explanation:
1. (x − 2)³ = 6 + 6(x − 2), which expands to x³ − 6x² + 6x = 2.

Question 21: What is the value of √(8 + 2√(8 + 2√(8 + ...∞)))?
(a) 4
(b) 10
(c) 8
(d) 6
Show Answer & Explanation

Answer: (a) 4

Explanation:
1. x² = 8 + 2x gives x = 4.

Question 22: If x = a^(1/3) − a^(−1/3), then what is x³ + 3x equal to?
(a) a − 1/a
(b) zero
(c) a + 1/a
(d) a³ + 1/a³
Show Answer & Explanation

Answer: (a) a − 1/a

Explanation:
1. x³ = a − 1/a − 3x.

Question 23: A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is 9 feet and the sum of the lengths of the painted sides is 37 feet, what is the area of the parking space in square feet?
(a) 46
(b) 81
(c) 126
(d) 252
Show Answer & Explanation

Answer: (c) 126

Explanation:
1. Painted sides: 9 + 2b = 37 ⇒ b = 14 ft; area = 9 × 14 = 126 sq ft.

Question 24: Bisectors of two adjacent angles A and B of a quadrilateral ABCD intersect each other at a point P. Which one of the following is correct?
(a) 2∠APB = ∠C + ∠D
(b) ∠APB = ∠C + ∠D
(c) ∠APB = 180° − (∠C + ∠B)
(d) ∠APB = 180° − (∠C + ∠D)
Show Answer & Explanation

Answer: (a) 2∠APB = ∠C + ∠D

Explanation:
1. ∠APB = 180° − (∠A + ∠B)/2 = (360° − ∠A − ∠B)/2 = (∠C + ∠D)/2.

Question 25: The number of diagonals in a polygon of m sides is
(a) ½ m(m − 5)
(b) ½ m(m − 1)
(c) ½ m(m − 3)
(d) ½ m(m − 2)
Show Answer & Explanation

Answer: (c) ½ m(m − 3)

Explanation:
1. Total pairs of vertices m(m − 1)/2 minus m sides gives m(m − 3)/2.

Question 26: If a polygon has 20 diagonals, then what is the number of sides?
(a) 8
(b) 6
(c) 10
(d) 12
Show Answer & Explanation

Answer: (a) 8

Explanation:
1. n(n − 3)/2 = 20 gives n = 8.

Question 27: How many diagonals will be in an n-sided regular polygon?
(a) n(n − 3)/2
(b) n(n − 1)/2
(c) n² − n
(d) n(n + 1)/2
Show Answer & Explanation

Answer: (a) n(n − 3)/2

Explanation:
1. Choose 2 vertices from n and subtract the n sides.

Question 28: The points (2, −2), (8, 4), (4, 6) and (−1, 1) in order are the vertices of which quadrilateral?
(a) Trapezium
(b) Square
(c) Rhombus
(d) Rectangle (but not square)
Show Answer & Explanation

Answer: (a) Trapezium

Explanation:
1. AB = (6, 6) is parallel to CD = (−5, −5), but BC and DA are not parallel.

Question 29: A square is drawn by joining mid-points of the sides of a square, and the process is continued indefinitely. If the side of the first square is 16 cm, what is the sum of the areas of all the squares?
(a) 512 sq cm
(b) 256 sq cm
(c) 1024 sq cm
(d) 512/3 sq cm
Show Answer & Explanation

Answer: (a) 512 sq cm

Explanation:
1. Areas form 256 + 128 + 64 + ... = 256/(1 − 1/2).

Question 30: In a parallelogram PQRS, angle P is four times of angle Q, then the measure of ZR is
(a) 36°
(b) 72°
(c) 130°
(d) 144°
Show Answer & Explanation

Answer: (d) 144°

Explanation:
1. In a parallelogram with angle P four times angle Q, the angles are 144 degrees and 36 degrees, so angle R is 144 degrees.

Question 31: What is the number of proper subsets of A = {a, b, c}?
(a) 7
(b) 5
(c) 6
(d) 8
Show Answer & Explanation

Answer: (a) 7

Explanation:
1. 2³ − 1 = 7.

Question 32: If φ is a null set, which of the following is correct?
(a) φ = { }
(b) φ = 0
(c) φ = {0}
(d) φ = {φ}
Show Answer & Explanation

Answer: (a) φ = { }

Explanation:
1. The null set has no elements and is written { } or φ.

Question 33: Out of 500 first-year students, 260 passed in the first semester and 210 in the second. If 170 did not pass in either semester, how many passed in both?
(a) 140
(b) 30
(c) 40
(d) 70
Show Answer & Explanation

Answer: (a) 140

Explanation:
1. Passed at least one = 330, so both = 260 + 210 − 330 = 140.

Question 34: Let U = {x ∈ N : 1 ≤ x ≤ 10}, N being the set of natural numbers. If A = {1, 2, 3, 4} and B = {2, 3, 6, 10}, what is the complement of (A − B)?
(a) {2, 3, 5, 6, 7, 8, 9, 10}
(b) {6, 10}
(c) {1, 4}
(d) {5, 6, 7, 8, 9, 10}
Show Answer & Explanation

Answer: (a) {2, 3, 5, 6, 7, 8, 9, 10}

Explanation:
1. A − B = {1, 4}; its complement in U is the rest.

Question 35: Let A = {x : x is a square of a natural number and x < 100} and B the set of even natural numbers. What is the cardinality of A ∩ B?
(a) 4
(b) 5
(c) 9
(d) none of these
Show Answer & Explanation

Answer: (a) 4

Explanation:
1. Even squares below 100 are 4, 16, 36, 64.

Question 36: The set A = {x : x + 4 = 4} can also be represented by
(a) {0}
(b) φ
(c) {φ}
(d) 0
Show Answer & Explanation

Answer: (a) {0}

Explanation:
1. The only solution is x = 0, so A = {0}.

Question 37: In a city, three newspapers A, B, C are published: 42% read A, 51% read B, 68% read C, 30% read A and B, 28% read B and C, 36% read A and C, 8% read none. What percentage read all three?
(a) 25%
(b) 20%
(c) 30%
(d) 40%
Show Answer & Explanation

Answer: (a) 25%

Explanation:
1. 92 = 42 + 51 + 68 − 30 − 28 − 36 + x gives x = 25.

Question 38: In the same city (A 42%, B 51%, C 68%, A and B 30%, B and C 28%, A and C 36%, none 8%), what percentage read exactly two papers?
(a) 19%
(b) 31%
(c) 44%
(d) none of these
Show Answer & Explanation

Answer: (a) 19%

Explanation:
1. (30 + 28 + 36) − 3 × 25 = 19.

Question 39: In the same city (A 42%, B 51%, C 68%, A and B 30%, B and C 28%, A and C 36%, none 8%), what percentage read only A but neither B nor C?
(a) 1%
(b) 4%
(c) 3%
(d) none of these
Show Answer & Explanation

Answer: (a) 1%

Explanation:
1. 42 − 30 − 36 + 25 = 1.

Question 40: If the area of a triangle with vertices (−3, 0), (3, 0), (0, k) is 9 sq. unit, then what is the value of k?
(a) 3
(b) 6
(c) 9
(d) 12
Show Answer & Explanation

Answer: (a) 3

Explanation:
1. ½ × 6 × ∣k∣ = 9 gives ∣k∣ = 3 (only 3 is offered).

Question 41: What is the area of the triangle formed by the lines y − x = 0, y + x = 0 and x = c?
(a) c²
(b) c/2
(c) 2c²
(d) c²/2
Show Answer & Explanation

Answer: (a) c²

Explanation:
1. The vertices are (0, 0), (c, c) and (c, −c), giving ½ × 2c × c.

Question 42: The sides of a triangle are 16 cm, 12 cm and 20 cm. Find the area
(a) 81 cm’
(b) 64 cm?
(c) 112 cm?
(d) 96 cm?
Show Answer & Explanation

Answer: (d) 96 cm?

Explanation:
1. A triangle with sides 12, 16 and 20 cm is right-angled, so its area is 96 cm².

Question 43: The perimeter of an isosceles triangle is 32 cm and each of the equal sides is 5/6 times of the base. What is the area (in cm?) of the triangle?
(a) 39
(b) 48
(c) 57
(d) 64
Show Answer & Explanation

Answer: (b) 48

Explanation:
1. The base is 12 cm and equal sides 10 cm, so the height is 8 cm and the area 48 cm².

Question 44: If the measure of three angles of a triangle are in the ratio 2: 3: 5, then the triangle is :
(a) equilateral
(b) isocsceles
(c) Obtuse angled
(d) right angled
Show Answer & Explanation

Answer: (d) right angled

Explanation:
1. Angles in the ratio 2 : 3 : 5 are 36 degrees, 54 degrees and 90 degrees, so the triangle is right-angled.

Question 45: If the inradius of a triangle with perimeter 32 cm is 6 cm, then the area of the triangle in sq. cm is
(a) 48
(b) 100
(c) 64
(d) 96
Show Answer & Explanation

Answer: (d) 96

Explanation:
1. Area = inradius x semi-perimeter = 6 x 16 = 96 sq cm.

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FAQs

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