MCQOPTIONS
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MCQOPTIONS
This section includes 462 Mcqs, each offering curated multiple-choice questions to sharpen your SRMJEEE knowledge and support exam preparation. Choose a topic below to get started.
| 201. |
If A is {{Φ}, {Φ, {Φ}}}, then the power set of A has how many element? |
| A. | 2 |
| B. | 4 |
| C. | 6 |
| D. | 8 |
| Answer» C. 6 | |
| 202. |
Two sets A and B contains a and b elements respectively. If power set of A contains 16 more elements than that of B, value of ‘b’ and ‘a’ are _______ |
| A. | 4, 5 |
| B. | 6, 7 |
| C. | 2, 3 |
| D. | None of the mentioned |
| Answer» B. 6, 7 | |
| 203. |
If A has 4 elements B has 8 elements then the minimum and maximum number of elements in A U B are ____________ |
| A. | 4, 8 |
| B. | 8, 12 |
| C. | 4, 12 |
| D. | None of the mentioned |
| Answer» C. 4, 12 | |
| 204. |
Let A be set of all prime numbers, B be the set of all even prime numbers, C be the set of all odd prime numbers, then which of the following is true? |
| A. | A ≡ B U C |
| B. | B is a singleton set. |
| C. | A ≡ C U {2} |
| D. | All of the mentioned |
| Answer» E. | |
| 205. |
Let A: All badminton player are good sportsperson. |
| A. | Z contains both X and Y |
| B. | Z contains X and Y is outside |
| C. | X contains Y and Z |
| D. | None of the mentioned |
| Answer» B. Z contains X and Y is outside | |
| 206. |
Let Ai = {i, i+1, i+2, …..}. Then set {n, n+1, n+2, n+3, …..} is the _________ of the set Ai. |
| A. | Union |
| B. | Intersection |
| C. | Set Difference |
| D. | Disjoint |
| Answer» C. Set Difference | |
| 207. |
The relation between sets A, B, C as shown by venn diagram is __________ |
| A. | A is subset of B and B is subset of C |
| B. | C is not a subset of A and A is subset of B |
| C. | C is subset of B and B is subset of A |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 208. |
The bit strings for the sets are 1111100000 and 1010101010. The union of these sets is ___________ |
| A. | 1010100000 |
| B. | 1010101101 |
| C. | 1111111100 |
| D. | 1111101010 |
| Answer» E. | |
| 209. |
The set difference of the set A with null set is __________ |
| A. | A |
| B. | |
| C. | U |
| D. | B |
| Answer» B. | |
| 210. |
In which of the following sets A – B is equal to B – A? |
| A. | A = {1, 2, 3}, B = {2, 3, 4} |
| B. | A = {1, 2, 3}, B = {1, 2, 3, 4} |
| C. | A = {1, 2, 3}, B = {2, 3, 1} |
| D. | A = {1, 2, 3, 4, 5, 6}, B = {2, 3, 4, 5, 1} |
| Answer» D. A = {1, 2, 3, 4, 5, 6}, B = {2, 3, 4, 5, 1} | |
| 211. |
Let the set A is {1, 2, 3} and B is {2, 3, 4}. Then the set A – B is? |
| A. | {1, -4} |
| B. | {1, 2, 3} |
| C. | {1} |
| D. | {2, 3} |
| Answer» D. {2, 3} | |
| 212. |
Let the set A is {1, 2, 3} and B is { 2, 3, 4}. Then number of elements in A ∩ B is? |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» C. 3 | |
| 213. |
Which of the following statements regarding sets is false? |
| A. | A X B = B X A |
| B. | A X B ≠ B X A |
| C. | n(A X B) = n(A) * n(B) |
| D. | All of the mentioned |
| Answer» B. A X B ≠ B X A | |
| 214. |
If C = {1} then C X (C X C) = (C X C) X C the given statement is true or false. |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» C. May be True or False | |
| 215. |
Let the set A is {1, 2, 3} and B is {2, 3, 4}. Then the number of elements in A U B is? |
| A. | 4 |
| B. | 5 |
| C. | 6 |
| D. | 7 |
| Answer» B. 5 | |
| 216. |
If set A has 3 elements then number of elements in A X A X A are __________ |
| A. | 9 |
| B. | 27 |
| C. | 6 |
| D. | 19 |
| Answer» C. 6 | |
| 217. |
If set A and B have 3 and 4 elements respectively then the number of subsets of set (A X B) is? |
| A. | 1024 |
| B. | 2048 |
| C. | 512 |
| D. | 4096 |
| Answer» E. | |
| 218. |
If set A has 4 elements and B has 3 elements then set n(A X B) is? |
| A. | 12 |
| B. | 14 |
| C. | 24 |
| D. | 7 |
| Answer» B. 14 | |
| 219. |
Let the sets be A, B, C, D then (A ∩ B) X (C ∩ D) is equivalent to __________ |
| A. | (A X C) ∩ (B X D) |
| B. | (A X D) U (B X C) |
| C. | (A X C) U ( B X D) |
| D. | None of the mentioned |
| Answer» B. (A X D) U (B X C) | |
| 220. |
Let set A = {1, 2} and C be {3, 4} then A X B (Cartesian product of set A and B) is? |
| A. | {1, 2, 3, 4} |
| B. | {(1, 3),(2, 4)} |
| C. | {(1, 3), (2, 4), (1, 4), (2, 3)} |
| D. | {(3, 1), (4, 1)} |
| Answer» D. {(3, 1), (4, 1)} | |
| 221. |
If in sets A, B, C, the set B ∩ C consists of 8 elements, set A ∩ B consists of 7 elements and set C ∩ A consists of 7 elements then the minimum element in set A U B U C will be? |
| A. | 8 |
| B. | 14 |
| C. | 22 |
| D. | 15 |
| Answer» B. 14 | |
| 222. |
If A ⊆ B then A X C ⊆ B X C the given statement is true or false. |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» B. False | |
| 223. |
Let C = {1,2,3,4} and D = {1, 2, 3, 4} then which of the following hold not true in this case? |
| A. | C – D = D – C |
| B. | C U D = C ∩ D |
| C. | C ∩ D = C – D |
| D. | C – D = Φ |
| Answer» D. C – D = Φ | |
| 224. |
Which of the following statement regarding sets is false? |
| A. | A ∩ A = A |
| B. | A U A = A |
| C. | A – (B ∩ C) = (A – B) U (A –C) |
| D. | (A U B)’ = A’ U B’ |
| Answer» E. | |
| 225. |
For two sets C and D the set (C – D) ∩ D will be __________ |
| A. | C |
| B. | D |
| C. | Φ |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 226. |
Let C and D be two sets then C – D is equivalent to __________ |
| A. | C’ ∩ D |
| B. | C‘∩ D’ |
| C. | C ∩ D’ |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 227. |
If set C is {1, 2, 3, 4} and C – D = Φ then set D can be ___________ |
| A. | {1, 2, 4, 5} |
| B. | {1, 2, 3} |
| C. | {1, 2, 3, 4, 5} |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 228. |
Let C and D be two sets then which of the following statements are true? |
| A. | Both of the statements |
| B. | Only i statement |
| C. | Only ii statement |
| D. | None of the statements |
| Answer» B. Only i statement | |
| 229. |
If C’ U (D ∩ E’) is equivalent to __________ |
| A. | (C ∩ (D U E))’ |
| B. | (C ∩( D∩ E’))’ |
| C. | (C ∩( D’ U E))’ |
| D. | (C U ( D ∩ E’)’ |
| Answer» D. (C U ( D ∩ E’)’ | |
| 230. |
Let the students who likes table tennis be 12, the ones who like lawn tennis 10, those who like only table tennis are 6, then number of students who likes only lawn tennis are, assuming there are total of 16 students. |
| A. | 16 |
| B. | 8 |
| C. | 4 |
| D. | 10 |
| Answer» D. 10 | |
| 231. |
Let a set be A then A ∩ φ and A U φ are __________ |
| A. | φ, φ |
| B. | φ, A |
| C. | A, φ |
| D. | one of the mentioned |
| Answer» C. A, φ | |
| 232. |
The number of subsets of a set can be odd or even. |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» B. False | |
| 233. |
Let Universal set U is {1, 2, 3, 4, 5, 6, 7, 8}, (Complement of A) A’ is {2, 5, 6, 7}, A ∩ B is {1, 3, 4} then the set B’ will surely have of which of the element? |
| A. | 8 |
| B. | 7 |
| C. | 1 |
| D. | 3 |
| Answer» B. 7 | |
| 234. |
If the number of subsets of a set are 4 then the number of elements in that sets are _________ |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» C. 3 | |
| 235. |
The number of subsets of a set is 5. |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» C. May be True or False | |
| 236. |
If a set is empty then number of subsets will be _________ |
| A. | 1 |
| B. | 2 |
| C. | 0 |
| D. | 4 |
| Answer» B. 2 | |
| 237. |
If a set contains 3 elements then the number of subsets is? |
| A. | 6 |
| B. | 3 |
| C. | 12 |
| D. | 8 |
| Answer» E. | |
| 238. |
The set containing all the collection of subsets is known as _________ |
| A. | Subset |
| B. | Power set |
| C. | Union set |
| D. | None of the mentioned |
| Answer» C. Union set | |
| 239. |
If A={1, 2, 3, 4}, then the number of the subsets of A that contain the element 2 but not 3, is? |
| A. | 16 |
| B. | 4 |
| C. | 8 |
| D. | 24 |
| Answer» C. 8 | |
| 240. |
If set A X B=B X A then which of the following sets may satisfy? |
| A. | A={1, 2, 3}, B={1, 2, 3, 4} |
| B. | A={1, 2}, B={2, 1} |
| C. | A={1, 2, 3}, B={2, 3, 4} |
| D. | None of the mentioned |
| Answer» C. A={1, 2, 3}, B={2, 3, 4} | |
| 241. |
Let the set be A= {a, b, c, {a,b}} then which of the following is false? |
| A. | {a, b} Є A |
| B. | a Є A |
| C. | {a} Є A |
| D. | b, c ЄA |
| Answer» D. b, c ЄA | |
| 242. |
Let a set be A={1, 2, 3} then the number of subsets containing two elements will be _________ |
| A. | 4 |
| B. | 3 |
| C. | 5 |
| D. | 8 |
| Answer» C. 5 | |
| 243. |
Which of the following function f: Z X Z → Z is not onto? |
| A. | f(a, b) = a + b |
| B. | f(a, b) = a |
| C. | f(a, b) = |b| |
| D. | f(a, b) = a – b |
| Answer» D. f(a, b) = a – b | |
| 244. |
The value of ⌊1/2.⌊5/2⌋ ⌋ is ______________ |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 0.5 |
| Answer» B. 2 | |
| 245. |
A function is said to be ______________ if and only if f(a) = f(b) implies that a = b for all a and b in the domain of f. |
| A. | One-to-many |
| B. | One-to-one |
| C. | Many-to-many |
| D. | Many-to-one |
| Answer» C. Many-to-many | |
| 246. |
Let A(1), A(2), A(3),…….., A(100) be 100 sets such that number of elements in A(i)=i+1 and A(1) is subset of A(2), A(2)is subset of A(3),….., A(99) is subset of A(100). The number of elements in union of the all the sets are: n(A(1) U A(2) U A(3) …..U A(100)). |
| A. | 99 |
| B. | 100 |
| C. | 101 |
| D. | 102 |
| Answer» D. 102 | |
| 247. |
The function f(x) = x³ is bijection from R to R. Is it True or False? |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» B. False | |
| 248. |
The inverse of function f(x) = x³ + 2 is ____________ |
| A. | f⁻¹ (y) = (y – 2)½ |
| B. | f⁻¹ (y) = (y – 2)⅓ |
| C. | f⁻¹ (y) = (y)⅓ |
| D. | f⁻¹ (y) = (y – 2) |
| Answer» C. f⁻¹ (y) = (y)⅓ | |
| 249. |
{x: x is an integer neither positive nor negative} is ________ |
| A. | Empty set |
| B. | Non-empty set |
| C. | Finite set |
| D. | Non- empty and Finite set |
| Answer» E. | |
| 250. |
The shaded area of figure is best described by? |
| A. | A‘ (Complement of A) |
| B. | B – (A ∩ B) – (C ∩ B) |
| C. | A ∩ C ∩ B |
| D. | B’ (Complement of B) |
| Answer» C. A ∩ C ∩ B | |