algebraic expressions Model Questions & Answers, Practice Test for ibps clerk prelims 2023

ibps clerk prelims 2023 SYLLABUS WISE SUBJECTS MCQs

Ratio & Proportion

Percentages

Profit & Loss

Time & Work

Time & Distance

Simple Interest & Compound Interest

Mensuration: Area & Volumes

Algebraic Expressions

Trigonometric Ratios & Identity

Linear Equations

Quadratic Equations

Logarithm

Click To More Exercise For Algebraic Expressions
Question :1

If the sum of a number and its square is 182, what is the number?

Answer: (b)

Let the number = x

Then, $x^2$ + x = 182

or, $x^2$ + x – 182 = 0

or,x +14x – 13x – 182=0

or, x (x + 14) – 13 (x + 14) = 0

or,(x – 13)(x + 14) = 0

or, x = 13 (negative value is neglected)

Question :2

The digit in the units place of a number is equal to the digit in the tens place of half of that number and the digit in the tens place of that number is less than the digit in units place of half of the number by 1. If the sum of the digits of the number is seven, then what is the number?

Answer: (c)

Let ½ of the no. = 10x + y

and the no. = 10V + W From the given conditions,

W = x and V = y – 1

Thus the no. = 10(y – 1) + x …..(A)

∴2(10x + y) = 10(y – 1) + x ⇒ 8y – 19x = 10…(i)

Again, from the question,

V + W = 7 ⇒ y – 1 + x = 7

∴x + y = 8 …(ii)

Solving equations (i) and (ii), we get x = 2 and y = 6.

∴From equation (A), Number = 10(y – 1) + x = 52

Question :3

If 2x + 3y = 26; 2y + z = 19 and x + 2z = 29, what is the value of x + y + z ?

Answer: (a)

On solving equation we get

x = 7, y = 4, z = 11

Question :4

Directions :
In each of the following questions two equations are given. You have to solve them and give answer

  1. if x > y
  2. if x < y
  3. if x = y
  4. if x ≥ y
  5. if x ≤ y
I. $x^2$ – 5x + 6 = 0
II. $2y^2$ + 3y – 5 = 0

Answer: (c)

I. $x^2$ – 5x + 6 = 0

or, (x – 3) (x – 2) = 0 or, x = 2, 3

II. $2y^2$ – 3y – 5 = 0

or, y = 1, $-5/2$

Hence, x > y

Question :5

Out of total number of students in a college 12% are interested in sports. $3/4$ g the total number of students are interested in dancing. 10% of the total number of students are interested in singing and the remaining 15 students are not interested in any of the activities. What is the total number of students in the college?

Answer: (e)

Let 'x' be the total number of students in college

$x-{[{12x}/{100}+{3x}/{4}+{10x}/{100}]}=15$

$x-{[{48x+300x+40x}/400]}=15$ ∴x = 500

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