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 general knowledge

(x+y)^2=x^2+xy2+y^2 (1 minute quiz)

  1. (x+y)^2=x2+xy^2+y^2

  2. (x+y)2=x^2+xy2+xy^2

  3. (x+y)^2=x^2+xy2+y^2

  4. (x+y)^2=xy2+xy2+y^2
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Option C matches the given expression (x+y)^2=x^2+xy2+y^2. The notation xy2 appears to represent the middle term 2xy in the binomial expansion. The standard form of (x+y)^2 is x^2 + 2xy + y^2, but this question uses compressed notation where xy2 serves as the middle term.

Multiple choice softskills communication

If (2X-Y)=4, then (6X-3y) = ?

  1. 15

  2. 12

  3. 18

  4. 10
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Given 2X - Y = 4, we need 6X - 3Y. Factor out 3: 3(2X - Y) = 3 × 4 = 12. This tests recognition of common factors. Option A (15) would come from incorrectly distributing, option C (18) from multiplying only one term, option D (10) from random calculation.

Multiple choice

If x=5 and y=++x, what are the values of x and y?

  1. x=5, y=5

  2. x=5, y=6

  3. x=6, y=6

  4. x=6, y=5

  5. x=5, y=7
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

This is the correct answer. Here student uses Pre increment operator of C programming language and increases the value of x by 1. After that he assigns the value of x to y and he also assigns new value to x, which is 6. So, both x and y contain 6.

Multiple choice

After Jenny deposited s dollars into her savings account, she had d dollars in the account. After that, if she withdrew (s - 70) dollars from this account, how many dollars did she have in her account?

  1. d - s - 70

  2. d - s + 70

  3. d + s - 70

  4. d - s

  5. d - 70
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The first bit of information is in fact irrelevant. What the second bit says is that from an account which had d dollars, she withdrew (s - 70) dollars. So, what will be left behind is d - (s - 70) = d - s + 70 dollars.

Multiple choice

In Boolean algebra, x (y + z) is equal to

  1. x

  2. y

  3. x.y

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

This demonstrates the distributive property in Boolean algebra: x AND (y OR z) = (x AND y) OR (x AND z). The operation distributes over OR just like in regular algebra.

Multiple choice

If (123) base 5 = (x3) y, then the number of possible values of x is

  1. 4

  2. 1

  3. 3

  4. 2
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

(123)_5 = 1×25 + 2×5 + 3 = 38 in decimal. For (x3)_y = 38, we need x×y + 3 = 38, so x×y = 35. Factor pairs of 35 with x < y (required for valid digit in base y) are (1,35) and (5,7), giving x = 1 or 5. The base y must exceed the highest digit (3), so y = 35 or 7 are both valid.