Algebraic Expressions Model Questions Set 1 Practice Questions Answers Test with Solutions & More Shortcuts
Algebraic Expressions PRACTICE TEST [1 - EXERCISES]
Algebraic Expressions Model Questions Set 1
Question : 1
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. p = $√4/√9$
II. $9q^2$ – 12q + 4 =0
a) if p is either equal to or greater than q
b) if p is either equal to or smaller than q.
c) if p is greater than q
d) if p is equal to q.
e) if p is smaller than q
Answer »Answer: (d)
I. p = $√4/√9$=$2/3$
II. $9q^2$ – 12q + 4 = 0
or, $9q^2$ – 6q – 6q + 4 = 0
or, 3q(3q – 2) – 2(3q – 2) = 0
or, (3q – 2)(3q – 2) = 0
or, q = $2/3$
Therefore, p = q
Question : 2
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. $q^2$ + q = 2
II. $p^2$ + 7p +10 = 0
a) if p ≥ q, and
b) if q ≥ p
c) if p = q
d) if q > p
e) if p > q
Answer »Answer: (b)
I. $q^2$ + q = 2
or, $q^2$ + q – 2 = 0
II. $p^2$ + 7p + 10 = 0
or, $p^2$ + 5p + 2p + 10 = 0
or, (q + 2) (q – 1) = 0
or, (q + 5)(p + 2) = 0
∴ q = – 2 or 1
∴p = – 5 or – 2
Hence, q ≥ p
Question : 3
Directions :
For the two given equations I and II, give answer
- if a is greater than b
- if a is smaller than b
- if a is equal to b
- if a is either equal to or greater than b
- if a is either equal to or smaller than b
I. 3a + 2b = 14
II. a + 4b – 13 = 0
a) if a is either equal to or greater than b
b) if a is either equal to or smaller than b
c) if a is greater than b
d) if a is equal to b
e) if a is smaller than b
Answer »Answer: (c)
I. 3a + 2b = 14
II. a + 4b = 13
Subtract equation I from equation II after multiplying II by 3.
We get 3a + 12b – 3a – 2b = 39 – 14
⇒10b = 25
⇒b = 2.5
Put value of b in equation II. We set a + 4 × 2.5 = 13.
Therefore, a = 3. Thus, a > b
Question : 4
Directions :
In each question below one or more equation(s) is /are given. On the basis of these, you have to find out the relationship between p and q. Give answer
- if p = q
- if p > q
- if p < q
- if p ≤ q
- if p ≥ q
I. $2p^2$ = 23p – 63
II. 2q ($q^{– 8}$) = $q^{–36}$
a) if p ≤ q
b) if p ≥ q
c) if p = q
d) if p < q
e) if p > q
Answer »Answer: (e)
I. $2p^2$ = 23p – 63
or, $2p^2$ – 23p + 63 = 0
II. 2q ($q ^{–8}$) = $q^{ –36}$
or, (2p – 9) (p – 7) = 0
or, $q^{ –7} × q^{36} = 1/2$
∴p = $9/2$ or 7
or, $q^{29} = 1/2$
∴q = $(1/2)^{1/29}$
Hence, p > q
Question : 5
Directions :
For the two given equations I and II, give answer
- if a is greater than b
- if a is smaller than b
- if a is equal to b
- if a is either equal to or greater than b
- if a is either equal to or smaller than b
I. $√2304$ a
II. $b^2$ = 2304
a) if a is either equal to or greater than b
b) if a is either equal to or smaller than b
c) if a is greater than b
d) if a is equal to b
e) if a is smaller than b
Answer »Answer: (d)
From I :
If $√{2304}$= a
then a = ± 48
(Do not consider – 48 as value of a)
Again,
From II :
If $b^2$ = 2304 then b = ± 48
Hence a = b
IMPORTANT quantitative aptitude EXERCISES
Algebraic Expressions Model Questions Set 1 Online Quiz
Click to Start..quantitative aptitude CATEGORIES
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 »