Maths MCQs 481 to 500 questions

 

 This comprehensive Mathematics MCQ collection is designed to meet the needs of candidates preparing for a wide range of competitive examinations and job recruitment tests. It includes carefully selected multiple-choice questions with detailed solutions, covering all essential mathematical concepts required for various sectors and exams.

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Banking Exams: IBPS, SBI, RBI, Clerk, PO, SO Teaching Eligibility Tests, TET, CTET, State-level exams, Engineering Jobs: Civil & Mechanical Engineering Recruitment, Defence, and more.

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Key Features:

MCQs with solutions for effective practice and revision. Covers Arithmetic, Algebra, Geometry, Trigonometry, Mensuration, Statistics, Probability, and Advanced Mathematics. Questions are organized by topic for systematic learning and review. Includes previous year exam patterns and model questions. Helpful for both technical and non-technical posts. Improves speed, accuracy, and problem-solving skills essential for competitive exams.

Why these MCQs?

Mathematics is a core subject in almost every competitive exam. We offers

comprehensive coverage, clear concepts, and enough practice questions to ensure success across various job sectors.

Mathematics MCQs - Part 17

481. The value of tanθ / cot(90°-θ) is:

1 0 tan²θ cot²θ

Explanation: Since cot(90°-θ) = tanθ, the expression becomes tanθ / tanθ = 1.

482. If the volume of a sphere is 4851 cm³, what is its radius? (Use π ≈ 22/7)

7 cm 14 cm 10.5 cm 21 cm

Explanation: V = (4/3)πr³ => 4851 = (4/3)(22/7)r³ => r³ = (4851 × 3 × 7) / (4 × 22) = 1157.625. So, r = ³√1157.625 = 10.5 cm.

483. The distance between the points (x, y) and (0, 0) is:

x + y x² + y² |x| + |y| √(x² + y²)

Explanation: This is a direct application of the distance formula where one point is the origin.

484. All circles are ______.

Congruent Similar Equal Concentric

Explanation: All circles have the same shape, but not necessarily the same size. Therefore, all circles are similar to each other.

485. The value of cos²17° - sin²73° is:

1 0 -1 2

Explanation: Since 73° = 90° - 17°, sin(73°) = sin(90°-17°) = cos(17°). The expression becomes cos²17° - cos²17° = 0.

486. The area of a circle is 314 cm². Its radius is approximately:

31.4 cm 10 cm 100 cm 20 cm

Explanation: Area A = πr² = 314. Using π ≈ 3.14, we have 3.14r² = 314. So, r² = 100, and r = 10 cm.

487. A quadrilateral ABCD is drawn to circumscribe a circle. Then AB + CD is equal to:

AC + BD 2(AD + BC) AD + BC 2(AC + BD)

Explanation: This is Pitot's theorem, which states that for a tangential quadrilateral (a quadrilateral that circumscribes a circle), the sums of opposite sides are equal. So, AB + CD = AD + BC.

488. The slope of the line passing through points (0, 4) and (0, -3) is:

0 1 7 Not defined

Explanation: The line passes through two points with the same x-coordinate (0), which means it is a vertical line (the Y-axis). The slope of a vertical line is undefined.

489. The value of sin 30° / cos 60° is:

1 0 2 1/2

Explanation: sin 30° = 1/2 and cos 60° = 1/2. Their ratio is (1/2) / (1/2) = 1.

490. If the height of a cylinder is equal to its radius, its volume is:

πr² 2πr³ πr³ 3πr³

Explanation: Volume V = πr²h. If h = r, then V = πr²(r) = πr³.

491. A tree casts a shadow 15m long when the angle of elevation of the sun is 60°. The height of the tree is:

15 m 15√2 m 15√3 m 30 m

Explanation: The shadow is the adjacent side (15m). Let h be the height (opposite side). tan(60°) = h/15. So, √3 = h/15, which gives h = 15√3 m.

492. The point P(x, y) lies in the fourth quadrant. What are the signs of x and y?

x > 0, y > 0 x < 0, y > 0 x < 0, y < 0 x > 0, y < 0

Explanation: The fourth quadrant is defined by positive x-coordinates and negative y-coordinates.

493. The value of tan 45° × cot 45° is:

0 1 2 Not defined

Explanation: Since cotθ is the reciprocal of tanθ, their product is always 1.

494. The number of edges of a cube is:

6 8 10 12

Explanation: A cube has 12 edges (the line segments where the faces meet).

495. The sum of the angles of a 20-sided polygon (icosagon) is:

1800° 3600° 3240° 3420°

Explanation: The sum of the interior angles of a polygon with n sides is (n-2) × 180°. For an icosagon, n=20, so the sum is (20-2) × 180° = 18 × 180° = 3240°.

496. If the radius of a cone is tripled and its height is divided by 3, its volume will:

Remain the same Triple Be one-third Be nine times

Explanation: Original Volume V = (1/3)πr²h. New radius = 3r, new height = h/3. New Volume V' = (1/3)π(3r)²(h/3) = (1/3)π(9r²)(h/3) = 3 × [(1/3)πr²h] = 3V. The volume will triple.

497. The slope of a line perpendicular to the line y = -3x + 1 is:

-3 1/3 3 -1/3

Explanation: The slope of the given line is -3. The slope of a perpendicular line is the negative reciprocal. So, m_perp = -1/(-3) = 1/3.

498. The value of sin A / cos A is:

1 cot A tan A sec A

Explanation: This is the definition of the tangent function in terms of sine and cosine.

499. If the sides of a triangle are 2, 2, and 3, what type of triangle is it?

Acute-angled Isosceles Obtuse-angled Isosceles Right-angled Isosceles Equilateral

Explanation: Since two sides are equal, it is isosceles. Check for angle type: 2² + 2² = 4 + 4 = 8. The longest side is 3, and 3² = 9. Since 8 < 9 (a² + b² < c²), the triangle is obtuse-angled.

500. The length of the diagonal of a rectangle with sides 20 cm and 21 cm is:

41 cm 29 cm 31 cm 442 cm

Explanation: Using the Pythagorean theorem, d² = 20² + 21² = 400 + 441 = 841. The diagonal d = √841 = 29 cm. (20, 21, 29 is a Pythagorean triplet).

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