Algebraic Expressions Model Questions Set 1 Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 1 EXERCISES
The following question based on Algebraic Expressions topic of quantitative aptitude
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
The correct answers to the above question in:
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
Discuss Form
Read more model questions set 1 Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
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
Question : 3
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) $4p^2$ = 16 (ii) $q^2$ – 10q + 25 = 0
a) if p ≥ q and
b) if q ≥ p
c) if p = q
d) if q > p
e) if p > q
Answer »Answer: (d)
(i) $4p^2$2 = 16; p = $√4$ = 2
(ii) $q^2 $ – l0q + 25 = 0 ⇒ (q – 5)(q – 5) = 0
or, q = 5 ∴ q > p
Question : 4
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 : 5
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
GET Algebraic Expressions PRACTICE TEST EXERCISES
Algebraic Expressions Model Questions Set 1
Algebraic Expressions Shortcuts and Techniques with Examples
Verbal Reasoning
Question & Answer Quiz
Non Verbal Reasoning
Question & Answer Quiz
Quantitative Aptitude
Question & Answer Quiz
Computer MCQ
Question & Answer Quiz
General English
Question & Answer Quiz
History GK
Question & Answer Quiz
Polity GK
Question & Answer Quiz
Geography GK
Question & Answer Quiz
Economy GK
Question & Answer Quiz
General Awareness GK
Question & Answer Quiz
Recently Added Subject & Categories For All Competitive Exams
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 »
IBPS Profit and Loss Questions Solved Problems with PDF
Most important Profit and Loss multiple choice questions and answers with PDF for IBPS RRB PO. 100+ Aptitude MCQ Practice Exercises all competitive exams
Continue Reading »
100+ Average Aptitude Questions Answers solutions MCQ PDF
New Average multiple choice questions and answers with PDF for IBPS RRB PO. 100+ Quantitative Aptitude MCQ Practice Exercises all competitive exams
Continue Reading »