Mathematics · Reasoning

Algebraic Expressions

157 Questions

Algebraic expressions form the foundation of mathematics, involving variables, constants, and arithmetic operations. This topic includes evaluating coefficients, solving proportional relationships, and understanding boolean logic. It is widely tested across various competitive exams to assess analytical skills.

Variable evaluationExpression coefficientsBoolean logic variablesDirect proportionalityProgramming expressions

Algebraic Expressions Questions

Multiple choice

In boolean algebra, x. y = _____

  1. x

  2. y

  3. x.y

  4. y. x
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The commutative law states that the order of operands in an AND operation does not change the result. Therefore, x . y is equivalent to y . x.

Multiple choice

If (126)x = (56)y , find x and y

  1. 8, 16

  2. 16, 10

  3. 2, 8

  4. 16, 8
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

1*x^2 + 2*x + 6 = 5*y + 6. If x=8, 64+16+6 = 86. If y=16, 5*16+6 = 86. The equation holds for x=8 and y=16.

Multiple choice

Find the values of x and y from the equations – = 1 and + = 3.5.

  1. x = 2, y = 3

  2. x = 4, y = 3

  3. x = 4, y = 9

  4. x = 2, y = 9

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Take = a, = b. Then, the equations will become 4a – 3b = 1 ……..(1) And a + ab = 3.5 ………(2) (1) × 3 + (2)⇒ a = and by substituting a in either (1) and (2), we can get b = . a = = ⇒ x = 4 and b = = ⇒ y = 9 Option 3 is correct.

Multiple choice

Find the respective values of x and y.

37x + 29y = 53 29x + 37y = 13

  1. 3 and - 2

  2. 2 and - 3

  3. 3 and 2

  4. -3 and - 2
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

37x + 29y = 53...(i)29x + 37y =13...(ii) Adding (i) and (ii), we get66x + 66y = 66$\Rightarrow$ x + y = 1 ... (iii) Subtracting (ii) from (i), we get 8x - 8y = 40$\Rightarrow$ x- y = 5 ...(iv) Adding (iii) and (iv), we get 2x = 6$\Rightarrow$x = 3. Subtracting (iv) from (iii), we get 2y = -4$\Rightarrow$ y = - 2 Hence, the solution is x = 3 and y = -2.

Multiple choice statistics time series moving average and variation simple moving average

In simple linear regression, the numbers of unknown constants are: 

  1. One

  2. Two

  3. Three

  4. Four
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$\Rightarrow$  In simple linear regression, the number of unknown constants are $:Two$

$\Rightarrow$  The line of regression of $y$ on $x$ is given by $y=a+bx$ where $a$ and $b$ are unknown constants known as intercept and slope of the equation. This is used to predict the unknown value of variable $y$ when value of variable $x$ is known.