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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your Class 11 knowledge and support exam preparation. Choose a topic below to get started.
201. |
I want some mcqs on sets chapter.. |
Answer» 1. The number of elements in the Power set P(S) of the set S = [ [ Φ] , 1, [ 2, 3 ]] is A. 4B. 8C. 2D. None of these 2. If A and B are sets and A∪ B= A ∩ B, then A. A= ΦB. B= ΦC. A=BD. None of these3. Let S be an infinite set and S1, S2, S3, ..., Sn be sets such that S1 ∪S2 ∪ S3∪....Sn = S then A. atleast one of the sets Si is a finite set B. not more than one of the set Si can be infinite C. atleast one of the sets Si is an infinite set D. none of these 4. If A be a finite set of size n, then number of elements in the power set of A x A A. 2??B. 2?²C. (2?)?D. none of these 5. Total number of different partitions of a set having four elements is A. 16 B. 8 C. 15 D. 4 6. A - (B ∪ C) is A. (A - B) ∪ (A - C) B. A - B - C C. (A - B) ∩ (A - C) D. A - (B ∩ C)\' 7. Which of the following sets are null sets?A. {0}B. ØC. { }D. Both (b) & (c)8. Number of subsets of a set of order three is A. 3 B. 6 C. 8 D. 9 9. The number of elements in the power set of the set {{a, b}, c} is A. 8 B. 4 C. 3 D. 7 10. In a language survey of students it is found that 80 students know English, 60 know French, 50 know German, 30 known English and French, 20 know French and German, 15 know English and German and 10 students know all the three languages. How many students know at least one language? A. 135B. 30C. 10D. 4511. In a room containing 28 people, there are 18 people who speak English, 15 people who speak Hindi and 22 people who speak Kannada, 9 persons speak both English and Hindi, 11 persons speak both Hindi and Kannada where as 13 person speak both Kannada and English. How+ many people speak all the three languages? A. 6B. 7C. 8D. 912. Order of the power set of a set of order n is A. nB. 2n C. n2D. 2n13. In a beauty contest, half the number of experts voted for Mr. A and two thirds voted for Mr. B. 10 voted for both and 6 did not vote for either. How many experts were there in all?A. 18 B. 36 C. 24 D. None of these 14. Let n(A) denotes the number of elements in set A. If n(A) =p and n(B) = q, then how many ordered pairs (a, b) are there with a ∈ A and b ∈ B ? A. p2B. p x qC. p + qD. 2 pq15. The set of all Equivalence classes of a set A of cardinality C A. has the same cardinality as AB. forms a partition of AC. is of cardinality 2CD. is of cardinality C216. In a class of 120 students numbered 1 to 120, all even numbered students opt for Physics, those whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subjects?A. 19B. 41C. 47D. 21E. 5717. Of the 200 candidates who were interviewed for a position at a call center, 100 had a two-wheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both, a two-wheeler and a credit card, 30 had both, a credit card and a mobile phone and 60 had both, a two wheeler and mobile phone and 10 had all three. How many candidates had none of the three? A. 0B. 20C. 10D. 1818. In a class of 40 students, 12 enrolled for both English and German. 22 enrolled for German. If the students of the class enrolled for at least one of the two subjects, then how many students enrolled for only English and not German? A. 30B. 10C. 18D. 2819. In a class 40% of the students enrolled for Math and 70% enrolled for Economics. If 15% of the students enrolled for both Math and Economics, what % of the students of the class did not enroll for either of the two subjects?A. 5%B. 15%C. 0%D. 25%20. In a group of 60 people, 27 like cold drinks and 42 like hot drinks and each person like at least one of the two drinks. How many like both coffee and tea? A. 30B. 15C. 14D. 9 21. In a competition, a school awarded medals in different categories, 36 medals in dance, 12 medals in dramatics and 18 in music. If these medals went to a total of 45 students and only 4 students got medals in all the three categories, How many did receive medals in exactly two of the categories? A. 10 B. 8 C. 7 D. 3 22. Among 200 ppl, 56% like strawberry, 44% like apple, and 40% like raspberry. IF 30% of people like both strawberry and apple, what is the LARGEST possible number of people who like raspberry but do not like either strawberry or apple? A. 20B. 60C. 80D. 8923. A marketing firm determined that, of 200 households surveyed, 80 used neither Brand A nor Brand B soap, 60 used only Brand A soap, and for every household that used both brands of soap, 3 used only Brand B soap. How many of the 200 households surveyed used both brands of soap? A. 40B. 30C. 20D. 1524. There are 230 students. 80 play football, 42 play soccer and 12 play rugby. 32 play exactly 2 sports and 4 play all three. How many students play none? A. 132B. 136C. 140 D. 94 Answers 1. B 2. C 3. C 4. B 5. C 6. C 7. D 8. C 9. C 10. A 11. A 12. D 13. B 14. B 15. B 16. C 17. C 18. C 19. A 20. D 21. D 22. B 23. D 24. A | |
202. |
find the domain of the function f(x)=x/(x^2+3x+2) |
Answer» | |
203. |
Power set of set a={1, 2, 3, 4, 5} |
Answer» 2^5 = 8<br>32<br>Power of set = 2^nn(number of element in set)In your question number of elements = 5 i.e 2^5=32<br>2^5 | |
204. |
Cos2x sinx+cos6x sin3x/sin2x sinx+sin6x sin3x=cot 5x |
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205. |
Ihsgs ji e it efe by sisgwcwnkasbscs siaagva akagw CNN w MI S if VN no usebsslahcamaauafw VN ka |
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206. |
Draw all graphs for 4 quadrants of complex numbers to change polar form |
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207. |
Cot X = 3/4,X lies in third quadrant |
Answer» 1 | |
208. |
-441÷625 convert in square root in ayota form |
Answer» √441 i / √625 root of 441 is 21 and root of 625 is 2521i / 25<br>21i/25 | |
209. |
1-i in square root |
Answer» 1-i = (x+iy)^21-i = x- (iy)^2= x^2- y^2+ 2xyix^2- y^2 = 1 and 2xy = -1(x^2+y^2)^2 = (x^2- y^2)^2 + (2xy)^2(x^2+ y^2)^2 =1 - 1 =0 | |
210. |
Find the value of:sin 38° 30\'. cos 21° 30\' + cos 38° 30\'. sin 21° 30\'. |
Answer» Qwēêéèërtyūüúûùìï | |
211. |
write the following sets in roster form. x={x: x€n and x=n3} |
Answer» | |
212. |
28-86 |
Answer» -58<br>-58<br>58 | |
213. |
Can anyone tell me the inverse function of x+sinx with derivation |
Answer» | |
214. |
If z is any complex number then z-z is |
Answer» 0 | |
215. |
Write the solution set of the equation x*2+x-2=0 in roaster form. |
Answer» {1,-2} | |
216. |
Range of f(x) = sin[x] and x belongs to -π/4,π/4 |
Answer» 0 when x>0 or x=0-Sin(1) when x<0So range ={(-sin1),0}<br>π\\4 | |
217. |
Domain of f(x)=tan2x |
Answer» R-(2n+1)π/4 not π/2<br>R-(2n+1)π/2 | |
218. |
Find domain of cot3x |
Answer» R-nπ/3 | |
219. |
Find the derivative of sin^4x without using first principle |
Answer» | |
220. |
Please suggest best YouTube channel for Jee Maths |
Answer» Vedantu all YouTube channel are best for jee<br>Go for "vedantu maths"<br>Go with "Vedantu Maths". | |
221. |
a-b/c = Sin(A-B/2)/cos c/2 |
Answer» | |
222. |
Evaluate x lim extend to 0 √{ 1+2x-(√1-2x)}÷sinx |
Answer» Not defined that is infinity | |
223. |
Find the values of sin 36 sin 72 sin 108 sin 44 |
Answer» 5/16 | |
224. |
If a + b + c =π find sin (b + c - A )+ sin(c + a -b ) + sin ( a + b - c) |
Answer» | |
225. |
If a + b + c =π,find sinA+sinB+sinC\\cosA+cosB+cosC-1 |
Answer» | |
226. |
Cosec(-690°) |
Answer» Its 2 not -2<br>-2 | |
227. |
Find the range of f(x)=x|x| |
Answer» | |
228. |
Application of derivativesChapters question |
Answer» | |
229. |
Find the value of tan π÷8 |
Answer» 0.0068 | |
230. |
RCos Q + ri sin Q |
Answer» It\'s uh | |
231. |
How many sets you know define all with an examples? |
Answer» Types of Sets in MathsThe different types of sets are as follows:Empty Set\xa0The set is empty! This means that there are no elements in the set. This set is represented by ϕ or {}. An empty set is hence defined as:Definition:\xa0If a set doesn’t have any elements, it is known as an empty set or null set or void set. For e.g. consider the set,P = {x : x is a leap year between 1904 and 1908}Between 1904 and 1908, there is no leap year. So, P = ϕ.Similarly, the set,Q = {y : y is a whole number which is not a natural number,y ≠ 0}0 is the only whole number that is not a natural number. If y ≠ 0, then there is no other value possible for y. Hence, Q = ϕ.Singleton SetIf a set contains only one element, then it is called a singleton set. For e.g.A = {x : x is an even prime number}B = {y : y is a whole number which is not a natural number}Finite SetIn this set, the number of elements is finite. All the empty sets also fall into the category of finite sets.Definition:\xa0If a set contains no element or a definite number of elements, it is called a finite set.If the set is non-empty, it is called a non-empty finite set. Some examples of finite sets are:A = {x : x is a month in a year}; Set A will have 12 elementsB={y: y is the zero of a polynomial\xa0(x4\xa0−\xa06x2\xa0+\xa0x\xa0+\xa02)}; Set B will have 4 zeroesInfinite SetJust contrary to the finite set, it will have infinite elements. If a given set is not finite, then it will be an infinite set.For e.g.A = {x : x is a natural number}; There are infinite natural numbers. Hence, A is an infinite set.B = {y: y is the ordinate of a point on a given line}; There are infinite points on a line. So, B is an infinite set.Power SetAn understanding of what subsets are is required before going ahead with Power-set.Definition:\xa0The power set of a set A is the set which consists of all the subsets of the set A. It is denoted by P(A).For a set A which consists of n elements, the total number of subsets that can be formed is\xa02n. From this, we can say that P(A) will have\xa02n\xa0elements.Example: If set A =\xa0{-9,13,6}, then power set of A will be:P(A)={ϕ, {-9}, {13}, {6}, {-9,13}, {13,6}, {6,-9}, {-9,13,6}}Sub SetIf A={-9,13,6}, then,Subsets of A= ϕ, {-9}, {13}, {6}, {-9,13}, {13,6}, {6,-9}, {-9,13,6}Definition:\xa0If a set A contains elements which are all the elements of set B as well, then A is known as the subset of B.Universal SetThis is the set which is the base for every other set formed. Depending upon the context, the universal set is decided. It may be a finite or infinite set. All the other sets are the subsets of the Universal set. It is represented by U.For e.g. The set of real numbers is a universal set of integers, rational numbers, irrational numbers.In the discussion above, we have learned how to classify sets on the basis of their elements. To learn more about sets and other topics, visit our site BYJU’S and find interesting articles on every topic. | |
232. |
If R= {(2,1), (3,1), (4,2)} write the domain of the relation R. |
Answer» Domain of R = {2,3,4} | |
233. |
What is range and domain of f( x)=√9-x² ? |
Answer» Domain=[-3,3]Range=[0,3] | |
234. |
All types of inverse functions with examples |
Answer» | |
235. |
important question of ch sets |
Answer» <a href="https://mycbseguide.com/dashboard/category/1372/type/6">https://mycbseguide.com/dashboard/category/1372/type/6</a><br>https://mycbseguide.com/accounts/login/?next=/dashboard/category/1372/type/6<br>Try out NCERT EXAMPLER | |
236. |
d/dx cos(x-a)/sin x |
Answer» | |
237. |
Test divisibility of 67529124 by 8 |
Answer» The divisibility test of 8 is that the last 3 digits of a number should be divisible by 8.124/ 8 = 15.5As 124 is not exactly divisible by 8, 67529124 is not divisible by 8.<br>The divisibility test of 8 is that the last 3 digits of a number should be divisible by 8.124/ 8 = 15.5As 124 is not exactly divisible by 8, 67529124 is not divisible by 8. | |
238. |
No. Of subset in natural no. |
Answer» A={1,2,3,4,5,6,7,___,} | |
239. |
-3x + 17 < -13 then |
Answer» X>10 | |
240. |
If (A-B) subset of (B-A), then a) A-B = B-Ab) B Subset Ac) A Subset Bd) A union B = A |
Answer» C.<br>C. | |
241. |
tan(2100) |
Answer» √3<br>tan(2100) | |
242. |
what is sin x= 1 negative or positive?and sin x= -1 negative or positive? |
Answer» | |
243. |
(Root3+i)^10=a+ib |
Answer» | |
244. |
40 degree 15 minute 36 second class 11th maths |
Answer» | |
245. |
If 3cosx+ 4sinx=4 then the value of 3cosx-4sin is |
Answer» | |
246. |
Evaluate sin2x. X tends to x/4 |
Answer» | |
247. |
Cos X/1-sin X+1-sin X/cos X=2 sec X prove that |
Answer» | |
248. |
Write the power set of |
Answer» A power set is a set of collection of all the subsets of a set | |
249. |
How many Basic theorems are there in Class 10 and which are deleted among it |
Answer» 2 | |
250. |
prove that:sin5x =5cos^4x sin x-10cos^2x sin^3x+sin^5x |
Answer» | |