algebraic expressions Model Questions & Answers, Practice Test for ssc cgl tier 1 2023
ssc cgl tier 1 2023 SYLLABUS WISE SUBJECTS MCQs
Number System
Ratio Proportion & Partnership
Averages
Percentages
Profit & Loss
Time & Work
Time & Distance
Simple Interest & Compound Interest
Mensuration: Area & Volumes
Algebraic Expressions
Linear Equations
Squareroots & Cuberoots
Directions :
In each question one or more equation(s) is (are) provided. On the basis of these you have
- if p = q
- if p > q
- if q > p
- if p ≥ q
- if p ≥ q
(i) $q^2$–I1q + 30 = 0 (ii) $2p^2$ – 7p + 6 = 0
Answer: (d)
q = 5, 6 & p = $3/2$ , 2
Directions :
In each of the following questions there are two equations. Solve them and give answer
- if P < Q
- if P > Q
- if P ≤ Q
- if P ≥ Q
- if P = Q
I. $3P^2$ – 10P + 7 = 0
II. $15Q^2$ – 22Q + 8 = 0
Answer: (e)
I. $3P^2$ – 10P + 7 = 0
$3P^2$ – 3P – 7P + 7 = 0
3P (P – 1) – 7 (P – 1) = 0
⇒ (3P – 7) ( P – 1) = 0
⇒ P = $7/3$, 1
II. $15Q^2$ – 22Q + 8 = 0
$15Q^2$ – 10Q – 12Q + 8 = 0
5Q (3Q – 2) – 4(3Q – 2) = 0
(5Q – 4) (3Q – 2) = 0
⇒ Q = $4/5 , 2/3$
∴P > Q
Directions :
In each of these questions two equations are given. You have to solve these equations and Give answer
- if x < y
- if x > y
- if x =y
- if x ≥ y
- if x ≤ y
I. $3x^2$ + 7x = 6
II. 6($2y^2$ + 1) = 17y
Answer: (b)
I. $3x^2$ + 7x – 6 = 0
or, $3x^2$ + 9 x – 2x – 6 = 0
or, (x + 3) (3x – 2) = 0
or, x = – 3, $2/3$
II. 6($2y^2$ + 1) = 17y
or, $12y^2$ + 6 – 17y = 0
or, $12y^2$ – 9y – 8y + 6 = 0
or, (4y – 3) (3y – 2) = 0
or, y=$3/4,2/3$
Hence, y ≥ x
Directions :
For the two given equations I and II give answer
- if p is greater than q
- if p is smaller than q
- if p is equal to q
- if p is either equal to or greater than q
- if p is either equal to or smaller than q.
I.$6p^2$ + 5p +1 = 0
II. $20q^2$ + 9q = –1
Answer: (e)
I. $6p^2$ + 5p + 1 = 0
or, $6p^2$ + 3p + 2p + 1 = 0
or, 3p(2p + 1) + 1 (2p + 1) = 0
or, (3p + 1) (2p + 1) = 0
Hence, p = $-1/3,-1/2$
II. $20q^2$ + 9q + 1 = 0
or, $20q^2$ + 5q + 4q + 1 = 0
or, 5q(4q + l) + 1(4q + 1) = 0
or, (5q + 1)(4q + l) = 0
Hence, q = $-1/5,-1/4$ Thus, p < q.
Directions:
In each question, one/two equations are provided. On the basis of these you have to find out the relation between p and q.
- if p = q
- if p > q
- if q > p
- if p ≥ q, and
- if q ≥ p
I. $2p^2$ + 12p+ 16 = 0
II.$2q^2$ + 14q + 24 = 0
Answer: (e)
I. $2p^2$ – 12p + 16 = 0
II. $2q^2$ + 14q + 24 = 0
or, $p^2$ – 6p + 8 = 0
or, (p – 4) (p – 2) = 0
or, $q^2$ + 7q + 12 = 0
or, (q + 4) (q + 3) = 0
p = + 4 or, + 2
∴q = – 3 or, – 4
When p = + 2, q = – 3, then, p > q
When p = + 4, q = – 4, then, p > q
When p = + 4, q = – 3, then, p > q
Hence p > q
ssc cgl tier 1 2023 IMPORTANT QUESTION AND ANSWERS
-
150+ Linear Equations Practice MCQ Test For SSC CGL 2023 »
-
Percentage Questions Solved Problems For SSC CGL Tier 1 2023 »
-
Top 150+ Algebraic Expressions MCQ Test For SSC CGL 2023 »
-
Profit and Loss Questions & Answers For SSC CGL Tier 1 2023 »
-
Top Ratio and Proportion Aptitude Questions For SSC CGL 2023 »
-
200+ Average Questions and Answers For SSC CGL Tier 1 2023 »
-
Square Root & Cube Root Questions and Answers For SSC CGL »
-
Mastering Time and Distance MCQs PDF for SSC CGL Tier 1 2023 »
-
299+ Time And Work Aptitude MCQ Test for SSC CGL TIER 1 2023 »
-
Number System Aptitude Questions Answers Test SSC CGL 2023 »
-
250+ Simple and Compound Interest Problems For SSC CGL 2023 »
-
New Mensuration 2D & 3D Shapes Questions For SSC CGL 2023 »
ssc cgl tier 1 2023TOPICS
Read More
ssc cgl tier 1 2023 2024 SYLLABUS
Read More
ssc cgl tier 1 2023 2024 NOTIFICATION
Read More
All Exams
-
SSC
»
Model MCQ Test [Syllabus Wise], Syllabus, Notification -
BANKING
»
Model MCQ Test [Syllabus Wise], Syllabus, Notification -
TNPSC
»
Model MCQ Test [Syllabus Wise], Syllabus, Notification
RECENT BLOGS
Recently Added Subject & Categories For All Competitive Exams
100+ Quadratic Equation Questions Answers PDF for Bank
Quadratic Equation multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams
Continue Reading »
IBPS Aptitude Linear Equations MCQ Questions Answers PDF
Linear equations multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams
Continue Reading »
New 100+ Compound Interest MCQ with Answers PDF for IBPS
Compound Interest verbal ability questions and answers solutions with PDF for IBPS RRB PO. Aptitude Objective MCQ Practice Exercises all competitive exams
Continue Reading »
100+ Mixture and Alligation MCQ Questions PDF for IBPS
Most importantly Mixture and Alligation multiple choice questions and answers with PDF for IBPS RRB PO. Aptitude MCQ Practice Exercises all Bank Exams
Continue Reading »