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.
| 151. |
The big-omega notation for f(x, y) = x⁵y³ + x⁴y⁴ + x³y⁵ is? |
| A. | x⁵y³ |
| B. | x⁵y⁵ |
| C. | x³y³ |
| D. | x⁴y⁴ |
| Answer» D. x⁴y⁴ | |
| 152. |
f(x) is a bijection than f⁻¹(x) is a mirror image of f(x) around y = x. |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» B. False | |
| 153. |
The big-theta notation for function f(n) = 2n³ + n – 1 is? |
| A. | n |
| B. | n² |
| C. | n³ |
| D. | n⁴ |
| Answer» D. n⁴ | |
| 154. |
The solution to f(x) = f⁻¹(x) are __________ |
| A. | no solutions in any case |
| B. | same as solution to f(x) = x |
| C. | infinite number of solution for every case |
| D. | none of the mentioned |
| Answer» C. infinite number of solution for every case | |
| 155. |
If f(x) = (x³ – 1) / (3x + 1) then f(x) is? |
| A. | O(x²) |
| B. | O(x) |
| C. | O(x² / 3) |
| D. | O(1) |
| Answer» B. O(x) | |
| 156. |
What is the range of a function? |
| A. | the maximal set of numbers for which a function is defined |
| B. | the maximal set of numbers which a function can take values |
| C. | it is set of natural numbers for which a function is defined |
| D. | none of the mentioned |
| Answer» C. it is set of natural numbers for which a function is defined | |
| 157. |
The g⁻¹({0}) for the function g(x)= ⌊x⌋ is ___________ |
| A. | {x | 0 ≤ x < 1} |
| B. | {x | 0 < x ≤ 1} |
| C. | {x | 0 < x < 1} |
| D. | {x | 0 ≤ x ≤ 1} |
| Answer» E. | |
| 158. |
Set A has 3 elements and set B has 4 elements then number of injections defined from A to B are? |
| A. | 12 |
| B. | 24 |
| C. | 36 |
| D. | 48 |
| Answer» C. 36 | |
| 159. |
What is range of function f(x) = x⁻¹ which is defined everywhere on its domain? |
| A. | (-∞, ∞) |
| B. | (-∞, ∞) – {0} |
| C. | [0, ∞) |
| D. | None of the mentioned |
| Answer» B. (-∞, ∞) – {0} | |
| 160. |
The big-theta notation for f(n) = nlog(n² + 1) + n²logn is? |
| A. | n²logn |
| B. | n² |
| C. | logn |
| D. | nlog(n²) |
| Answer» B. n² | |
| 161. |
The big-Omega notation for f(x) = 2x⁴ + x² – 4 is? |
| A. | x² |
| B. | x³ |
| C. | x |
| D. | x⁴ |
| Answer» E. | |
| 162. |
The little-o notation for f(x) = xlogx is? |
| A. | x |
| B. | x³ |
| C. | x² |
| D. | xlogx |
| Answer» D. xlogx | |
| 163. |
If f1(x) is O(g(x)) and f2(x) is o(g(x)), then f1(x) + f2(x) is? |
| A. | O(g(x)) |
| B. | o(g(x)) |
| C. | O(g(x)) + o(g(x)) |
| D. | None of the mentioned |
| Answer» B. o(g(x)) | |
| 164. |
If f(x) = x² + 4 then range of f(x) is given by? |
| A. | [4, ∞) |
| B. | (-∞, ∞) – {0} |
| C. | (0, ∞) |
| D. | None of the mentioned |
| Answer» B. (-∞, ∞) – {0} | |
| 165. |
Onto function are known as injection. |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» C. May be True or False | |
| 166. |
What is domain of function f(x) = x⁻¹ for it to be defined everywhere on domain? |
| A. | (2, ∞) |
| B. | (-∞, ∞) – {0} |
| C. | [0, ∞) |
| D. | None of the mentioned |
| Answer» C. [0, ∞) | |
| 167. |
A function f(x) is defined as f(x) = x – [x], where [.] represents GIF then __________ |
| A. | f(x) will be intergral part of x |
| B. | f(x) will be fractional part of x |
| C. | f(x) will always be 0 |
| D. | none of the mentioned |
| Answer» C. f(x) will always be 0 | |
| 168. |
For any function fof⁻¹(x) is equal to? |
| A. | x |
| B. | 1 |
| C. | x² |
| D. | none of the mentioned |
| Answer» B. 1 | |
| 169. |
What is domain of function f(x)= x^1/2? |
| A. | (2, ∞) |
| B. | (-∞, 1) |
| C. | [0, ∞) |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 170. |
If f(x) = 3x² + x³logx, then f(x) is? |
| A. | O(x²) |
| B. | O(x³) |
| C. | O(x) |
| D. | O(1) |
| Answer» C. O(x) | |
| 171. |
For some integer n such that x < n < x + 1, ceil(x) < n. |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» C. May be True or False | |
| 172. |
For an inverse to exist it is necessary that a function should be __________ |
| A. | injection |
| B. | bijection |
| C. | surjection |
| D. | none of the mentioned |
| Answer» C. surjection | |
| 173. |
A floor function map a real number to ___________ |
| A. | smallest previous integer |
| B. | greatest previous integer |
| C. | smallest following integer |
| D. | none of the mentioned |
| Answer» C. smallest following integer | |
| 174. |
The big-O notation for f(n) = (nlogn + n²)(n³ + 2) is? |
| A. | O(n²) |
| B. | O(3ⁿ) |
| C. | O(n⁴) |
| D. | O(n⁵) |
| Answer» E. | |
| 175. |
If f(x) = 2^x then range of the function is? |
| A. | (-∞, ∞) |
| B. | (-∞, ∞) – {0} |
| C. | (0, ∞) |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 176. |
If x, and y are positive numbers both are less than one, then maximum value of floor(x + y) is? |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | -1 |
| Answer» C. 2 | |
| 177. |
Codomain is the subset of range. |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» C. May be True or False | |
| 178. |
The members of the set S = {x | x is the square of an integer and x < 100} is ________________ |
| A. | {0, 2, 4, 5, 9, 58, 49, 56, 99, 12} |
| B. | {0, 1, 4, 9, 16, 25, 36, 49, 64, 81} |
| C. | {1, 4, 9, 16, 25, 36, 64, 81, 85, 99} |
| D. | {0, 1, 4, 9, 16, 25, 36, 49, 64, 121} |
| Answer» C. {1, 4, 9, 16, 25, 36, 64, 81, 85, 99} | |
| 179. |
Floor(2.4) + Ceil(2.9) is equal to __________ |
| A. | 4 |
| B. | 6 |
| C. | 5 |
| D. | none of the mentioned |
| Answer» D. none of the mentioned | |
| 180. |
A ceil function map a real number to __________ |
| A. | smallest previous integer |
| B. | greatest previous integer |
| C. | smallest following integer |
| D. | none of the mentioned |
| Answer» D. none of the mentioned | |
| 181. |
For some bijective function inverse of that function is not bijective. |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» C. May be True or False | |
| 182. |
A function is defined by mapping f:A→B such that A contains m elements and B contains n elements and m > n then number of bijections are ________ |
| A. | ⁿCₘ x m! |
| B. | ⁿCₘ x n! |
| C. | 0 |
| D. | none of the mentioned |
| Answer» D. none of the mentioned | |
| 183. |
Which of the following is subset of set {1, 2, 3, 4}? |
| A. | {1, 2} |
| B. | {1, 2, 3} |
| C. | {1} |
| D. | All of the mentioned |
| Answer» E. | |
| 184. |
The big-O notation for f(n) = 2log(n!) + (n² + 1)logn is? |
| A. | n |
| B. | n² |
| C. | nlogn |
| D. | n²logn |
| Answer» E. | |
| 185. |
A = {∅,{∅},2,{2,∅},3}, which of the following is true? |
| A. | {{∅,{∅}} ∈ A |
| B. | {2} ∈ A |
| C. | ∅ ⊂ A |
| D. | 3 ⊂ A |
| Answer» D. 3 ⊂ A | |
| 186. |
Subset of the set A= { } is? |
| A. | A |
| B. | {} |
| C. | ∅ |
| D. | All of the mentioned |
| Answer» E. | |
| 187. |
What is the Cartesian product of A = {1, 2} and B = {a, b}? |
| A. | {(1, a), (1, b), (2, a), (b, b)} |
| B. | {(1, 1), (2, 2), (a, a), (b, b)} |
| C. | {(1, a), (2, a), (1, b), (2, b)} |
| D. | {(1, 1), (a, a), (2, a), (1, b)} |
| Answer» D. {(1, 1), (a, a), (2, a), (1, b)} | |
| 188. |
Power set of empty set has exactly _________ subset. |
| A. | One |
| B. | Two |
| C. | Zero |
| D. | Three |
| Answer» B. Two | |
| 189. |
What is the Cardinality of the Power set of the set {0, 1, 2}? |
| A. | 8 |
| B. | 6 |
| C. | 7 |
| D. | 9 |
| Answer» B. 6 | |
| 190. |
The set of positive integers is _____________ |
| A. | Infinite |
| B. | Finite |
| C. | Subset |
| D. | Empty |
| Answer» B. Finite | |
| 191. |
Convert set {x: x is a positive prime number which divides 72} in roster form. |
| A. | {2, 3, 5} |
| B. | {2, 3, 6} |
| C. | {2, 3} |
| D. | {∅} |
| Answer» D. {∅} | |
| 192. |
Which of the following two sets are equal? |
| A. | A = {1, 2} and B = {1} |
| B. | A = {1, 2} and B = {1, 2, 3} |
| C. | A = {1, 2, 3} and B = {2, 1, 3} |
| D. | A = {1, 2, 4} and B = {1, 2, 3} |
| Answer» D. A = {1, 2, 4} and B = {1, 2, 3} | |
| 193. |
{x: x ∈ N and x is prime} then it is ________ |
| A. | Infinite set |
| B. | Finite set |
| C. | Empty set |
| D. | Not a set |
| Answer» B. Finite set | |
| 194. |
What is the cardinality of the set of odd positive integers less than 10? |
| A. | 10 |
| B. | 5 |
| C. | 3 |
| D. | 20 |
| Answer» C. 3 | |
| 195. |
The Cartesian Product B x A is equal to the Cartesian product A x B. |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» C. May be True or False | |
| 196. |
The union of the sets {1, 2, 5} and {1, 2, 6} is the set _______________ |
| A. | {1, 2, 6, 1} |
| B. | {1, 2, 5, 6} |
| C. | {1, 2, 1, 2} |
| D. | {1, 5, 6, 3} |
| Answer» C. {1, 2, 1, 2} | |
| 197. |
If n(A)=10, n(B)=30,n(C)=50 and if set A, B, C are pairwise disjoint then which of the following is correct? |
| A. | n(A U B)=0 |
| B. | n(B U C)=0 |
| C. | n(A U B U C)=90 |
| D. | All of the mentioned |
| Answer» E. | |
| 198. |
If n(A)=20 and n(B)=30 and n(A U B) = 40 then n(A ∩ B) is? |
| A. | 20 |
| B. | 30 |
| C. | 40 |
| D. | 10 |
| Answer» E. | |
| 199. |
Let A be {1, 2, 3, 4}, U be set of all natural numbers, then U-A’(complement of A) is given by set. |
| A. | {1, 2, 3, 4, 5, 6, ….} |
| B. | {5, 6, 7, 8, 9, ……} |
| C. | {1, 2, 3, 4} |
| D. | All of the mentioned |
| Answer» D. All of the mentioned | |
| 200. |
Which sets are not empty? |
| A. | {x: x is a even prime greater than 3} |
| B. | {x : x is a multiple of 2 and is odd} |
| C. | {x: x is an even number and x+3 is even} |
| D. | { x: x is a prime number less than 5 and is odd} |
| Answer» E. | |