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Mathematics — Page 2

Practice Mathematics MCQ Questions 26–43 out of 43. Free quiz with answers and explanations for UPSC, SSC, Railway exam preparation. Build exceptional problem-solving speed and accuracy with our interactive Mathematics quantitative aptitude test. Solve top-tier objective questions covering percentage, profit and loss, time and work, speed-distance, algebra, geometry, and data interpretation metrics standard across all bank exams.

📄 43 Total Questions Page 2 of 2 MCQ Format 🇮🇳 हिंदी में पढ़ें

What statistical measure represents the value that appears most frequently in a dataset?

Explanation

The mode is the number that repeats the most often in an array. [Memory Trick: 'Mo'-de occurs 'Mo'-st frequently!]

What is the value of 5 factorial (5!)?

Explanation

5! is 5 * 4 * 3 * 2 * 1 = 120. [Memory Trick: Factorials grow quickly; five fingers tick exact '120' beats!]

An algebraic expression containing exactly three terms is called what?

Explanation

A trinomial consists of three algebraic terms (e.g., ax^2 + bx + c). [Memory Trick: A 'Tri'-cycle has 3 wheels, 'Tri'-nomial has 3 terms!]

What is the probability of flipping a fair coin three times and getting three tails?

Explanation

The probability is (1/2) * (1/2) * (1/2) = 1/8. [Memory Trick: Double the denominator: 2, 4, 8 to hit three tails!]

What is the derivative of any constant number with respect to x?

Explanation

Since constants do not change, their rate of change (derivative) is exactly zero. [Memory Trick: A static brick wall has 'Zero' rate of motion/running change!]

What mathematical system is founded on set operations using basic logic gates like AND, OR, and NOT?

Explanation

Boolean algebra operates on binary variables (True/False or 1/0) using standard logic operations, created by George Boole. [Memory Trick: 'Bool'ean variables can only be 'boldly' true or false!]

What theorem states that in any right triangle, the square of the longest side equals the sum of squares of the other two sides?

Explanation

The Pythagorean Theorem states a^2 + b^2 = c^2 for any right-angled triangle. [Memory Trick: Python shapes triangles along 'Pythagor'-ean coordinates!]

Which mathematician solved Fermat's Last Theorem in 1994, completing a proof that had baffled researchers for 350 years?

Explanation

British mathematician Sir Andrew Wiles published the formal proof of Fermat's Last Theorem using modern elliptic curves. [Memory Trick: He used his extreme 'Wiles' (clever strategy) to untie Fermat's knot!]

If a triangle has side lengths of 3, 4, and 5 units, what type of triangle is it?

Explanation

Since 3^2 + 4^2 = 9 + 16 = 25 = 5^2, it is a Pythagorean triplet, forming a right-angled triangle. [Memory Trick: Standard '3-4-5' layout is the builder's favorite to check 'Right' corners!]

What is the base of the hexadecimal number system?

Explanation

Hexadecimal uses base-16, containing digits 0-9 and letters A-F to signify values up to 15. [Memory Trick: 'Hexa' (6) + 'Decimal' (10) = Sixteen '16' base!]

What is the square root of 225?

Explanation

15 * 15 equals 225. [Memory Trick: 5-ending squares always have double fives, '15' meets 225!]

What do we call two lines in a flat 2D plane that never cross, regardless of how far they are extended?

Explanation

Parallel lines maintain an equidistant spacing and never meet. [Memory Trick: The three central 'l' letters in 'ParaLLeL' show parallel lines side-by-side!]

Which parameter describes the standard deviation squared of a mathematical statistical dataset?

Explanation

Variance measures how far a set of numbers are spread out from their average. It's the square of standard deviation. [Memory Trick: Square the deviation to watch the actual 'Variance' expand!]

In modular arithmetic, what is the value of 25 mod 7?

Explanation

25 divided by 7 is 3 with a remainder of 4 (7 * 3 = 21, 25 - 21 = 4). [Memory Trick: 25 has 4 units left over beyond the 21 boundary!]

What is the value of any real non-zero number raised to the power of 0?

Explanation

By definition, x^0 = 1 for any non-zero real number. [Memory Trick: Flattening any power to zero leaves a baseline of exactly '1' solid unit!]

Which century-old hypothesis concerns the distribution of prime numbers along critical coordinate boundaries, unsolved with a $1M Millennium Prize?

Explanation

The Riemann Hypothesis proposes that all non-trivial zeros of the Riemann zeta function have a real part equal to 1/2. [Memory Trick: 'Riemann' map traces 'R'-ecurrent prime number paths!]

How many degrees does a full circle traverse?

Explanation

A circle describes a complete 360-degree rotation. [Memory Trick: Turning fully around lands you back at the '360' peak point!]

A prime number larger than 2 must always be what?

Explanation

Since any even number larger than 2 is divisible by 2, all higher primes must be odd numbers. [Memory Trick: 2 is the ONLY even prime - the rest are odd outlaws!]

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