Mathematics · Quantitative Aptitude

Surds and Indices

408 Questions

Surds and indices questions focus on evaluating square roots, cube roots, and fractional exponents. These topics are a core part of the quantitative aptitude section in many competitive exams. Practicing these problems builds speed and accuracy for solving numerical equations.

Square roots evaluationCube roots calculationExponents and powersFractional exponentsSurds multiplication

Surds and Indices Questions

Multiple choice

Sqr() returns

  1. a string

  2. a variable

  3. square root of a number

  4. square of a number
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The Sqr() function in Visual Basic returns the square root of a numeric value. For example, Sqr(16) returns 4. It is the inverse of the square operation.

Multiple choice

Given √(224) r = 13r, the value of radix r is

  1. 10

  2. 8

  3. 5

  4. 6
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

sqrt(224 base r) = 13 base r implies 224 base r = (13 base r)^2. (2*r^2 + 2*r + 4) = (r + 3)^2 = r^2 + 6r + 9. Solving r^2 - 4r - 5 = 0 gives (r-5)(r+1)=0. Since r > 0, r=5.

Multiple choice

The following statements find the

define hypotenuse(a, b) sqrt( a*a + b*b);

the macro call hypotenuse (a+2,b+3);

  1. hypotenuse of a triangle with sides, a+2 and b+3.

  2. the square root of 3*a + 4*b + 5

  3. the square root of (a+2) 2 + (b+3) 2

  4. none of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Macros perform simple text substitution. Replacing a and b with (a+2) and (b+3) in sqrt(a*a + b*b) yields sqrt((a+2)(a+2) + (b+3)(b+3)). The provided option B is a literal expansion of the macro without the intended mathematical grouping.