Testbook Logo
Exams SuperCoaching Test Series Skill Academy
More
English
Hindi

Question

Download Solution PDF

If the Cartesian product of two sets A and B(A × B) = {(3, 2), (3, 4), (5, 2), (5, 4)}, find set A.

This question was previously asked in
Bihar STET Paper I: Mathematics (Held In 2019 - Shift 1)
Download PDF Attempt Online
View all Bihar STET Papers >
  1. {3, 2}
  2. {3, 4}
  3. {3, 5}
  4. {3, 3}

Answer (Detailed Solution Below)

Option 3 : {3, 5}
Free Tests
View all Free tests >
Free
Bihar STET Paper 1 Mathematics Full Test 1
13.7 K Users
150 Questions 150 Marks 150 Mins
Start Now

Detailed Solution

Download Solution PDF

Given:

Cartesian product of two sets A and B: A × B = {(3, 2), (3, 4), (5, 2), (5, 4)}

Concept used: 

In a Cartesian product A × B, the first element of each ordered pair belongs to set A, and the second element belongs to set B.

Calculation:

From the given Cartesian product A × B, we can extract the elements of set A:

A = {3, 5}

∴ The set A is {3, 5}.

Download Solution PDF
Latest Bihar STET Updates

Last updated on Jan 29, 2025

-> The Bihar STET 2025 Notification will be released soon.

->  The written exam will consist of  Paper-I and Paper-II  of 150 marks each. 

-> The candidates should go through the Bihar STET selection process to have an idea of the selection procedure in detail.

-> For revision and practice for the exam, solve Bihar STET Previous Year Papers.

‹‹ Previous Ques
Next Ques ››

More Set Theory and types of Sets Questions

Q1.If set A = {1, 3, 5, 7}, set B = {1, 4, 7}, find the value of A − B.
Q2.If the Cartesian product of two sets A and B(A × B) = {(3, 2), (3, 4), (5, 2), (5, 4)}, find set A.
Q3.A ∪ (B ∩ C) = ____________
Q4.For any set A, (A')' is equal to:
Q5.If A = {2, 3, 4} and B = {3, 5} then A ∪ B will be:
Q6.The set builder form of the set \(\left\{ {\frac{1}{2},\frac{2}{3},\frac{3}{4},\frac{4}{5}} \right\}\) is
Q7.20 teachers of a school either teach Mathematics or Physics. 12 of them teach Mathematics while 4 teach both the subjects. Then, the number of teachers teaching Physics only is:
Q8.There are 17 students in a Hindi class and 30 students in an English class. Find the number of students who are either in a Hindi class or in an English class, if the two classes meet at different hours and 8 students are enrolled in both courses.
Q9.There are 20 students in a Maths class and 25 students in an English class. Find the number of students who are either in a Math class or in an English class, if the two classes meet at different hours and 6 students are enrolled in both courses.
Q10.What is the number of subsets of a set containg 5 elements?

More Sets Questions

Q1.If A = {x : x + 1 ≤ 7, x ∈ N} and B = {x : x + 3 > 5, x ∈ N}, then A ∩ B is
Q2.If set A = {1, 3, 5, 7}, set B = {1, 4, 7}, find the value of A − B.
Q3.If the Cartesian product of two sets A and B(A × B) = {(3, 2), (3, 4), (5, 2), (5, 4)}, find set A.
Q4.A ∪ (B ∩ C) = ____________
Q5.If A = {a, b}, B = {c, d} and C = {d, e}, then { (a, c), (a, d), (a, e), (b, c), (b, d), (b, e) is equal to 
Q6.For any set A, (A')' is equal to:
Q7.If A = {2, 3, 4} and B = {3, 5} then A ∪ B will be:
Q8.Let X = {x | x = 2 + 4k, where k = 0, 1, 2, 3,...24}. Let S be a subset of X such that the sum of no two elements of S is 100. What is the maximum possible number of elements in S ?  
Q9.In a party of 150 persons, 75 persons take tea, 60 persons take coffee and 50 persons take milk. 15 of them take both tea and coffee, but no one taking milk takes tea. If each person in the party takes at least one drink, then what is the number of persons taking milk only ? 
Q10.The set builder form of the set \(\left\{ {\frac{1}{2},\frac{2}{3},\frac{3}{4},\frac{4}{5}} \right\}\) is
Suggested Test Series
View All >
Bihar STET Paper 1 (माध्यमिक) Mock Test 2024
321 Total Tests with 5 Free Tests
Start Free Test
Bihar STET Paper 2 (उच्च माध्यमिक) Mock Test 2024
508 Total Tests with   24 Free Tests
Start Free Test

More Mathematics Questions

Q1.log10 10000 = _______?
Q2.Consider a system equation \(2x+y-z=0\), \(4x - py + 4z = 4\) and \(x-y+z=q\) where \(p, q \in I\) and \(p, q \in [1, 10]\), then identify the correct statement(s).   List-I List-II (I) Number of ordered pairs \((p, q)\) for which system of equation has unique solution is (P) 1 (II) Number of ordered pairs \((p, q)\) for which system of equation has no solution is (Q) 9 (III) Number of ordered pairs \((p, q)\) for which system of equation has infinite solution is (R) 91 (IV) Number of ordered pairs \((p, q)\) for which system of equation has atleast one solution is (S) 90
Q3.Match List I with List II:   List - I List - II (I) The number of solutions of the equation\((1 - \cos 2x)(\cos 2x + \cot^2 x) = 0\) where \(0 \le x \le 2\pi\) is (P) 4 (II) \(\tan 81^\circ - \tan 63^\circ - \tan 27^\circ + \tan 9^\circ\) equals (Q) 3 (III) The number of solutions of (x, y), which satisfy |y| = sin x and y = cos-1(cos x), where -2π ≤ x ≤ 2π is (R) 2 (IV) For the equation \(\cos^{-1}x + \cos^{-1}2x + \pi = 0\), the number of real solutions is (S) 1     (T) 0  
Q4.If Σn = 36, find n
Q5.If log 2 = 0.2614, log 3 = 0.3521, log 6 = ?
Q6.The growth model for a population is Nt = N0ert where Nt is the population at time t, N0 is the initial population and r is the per capita growth rate. How long does it take for the population numbers to double?
Q7.Suppose that the growth rate of the number of individuals (N) in a population in an environment with a carrying capacity K is modelled as \(\frac{d N}{d t}=r N \frac{K-N}{K}\) where r is the per capita growth rate and t is time; r and K are positive constants. At which of the following values of N will the population growth rate be the maximum?
Q8.The shadow of a vertical pole, formed due to a nearby lamp which is at a height of 12 m, measures 4 m. If the lamp is moved horizontally 2 m further away from the pole, the length of the shadow measures 8 m. What is the height (in m) of the pole?
Q9.A pack of cards contains 4 aces, 4 kings, 4 queens and 4 jacks. Out of these 16 number of cards, two cards are drawn at random. Find the probability that at least one of them is an ace :
Q10.If the equations 2x2 + kx - 5 = 0 and x2 - 3x - 4 = 0 have one root common, then find the value of k.
Important Exams
Super Coaching
Exams
Test Series
Previous Year Papers
Objective Questions
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
[email protected]
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Our Apps
Follow us on
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Get Free Access Now
Hot Links： teen patti master update teen patti 51 bonus teen patti octro 3 patti rummy teen patti win