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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.
| 351. |
If R be a symmetric and transitvie relation on a set A, then |
| A. | R is not reflexive and hence not an equivalence relation |
| B. | R is reflexive and hence an equivalence relation |
| C. | R is reflexive and hence a partial order |
| D. | None of these |
| Answer» E. | |
| 352. |
If R is a relation on a finite set having a elements , then the number of relations on A is |
| A. | a² |
| B. | aª |
| C. | 2a |
| D. | 2a2 |
| Answer» E. | |
| 353. |
If R is the relation “is greater than” from A ={1,2,3,4,5}to B={1,3,4} , Than R-1 is |
| A. | {(3,4),(4,5),(3,5)} |
| B. | {(1,2) ,(1,3),(1,4),(1,5)} |
| C. | {(1,2), (1,3), (1,4), (3,4), (1,5), (3,5), (4,5)} |
| D. | {(2,1), (3,1), (4,1),(4,3), (5,1), (5,3), (5,4)} |
| Answer» D. {(2,1), (3,1), (4,1),(4,3), (5,1), (5,3), (5,4)} | |
| 354. |
If Y is the smallest set such that Y U {1, 2} = {1, 2, 3, 5, 9}, then Y is equal to |
| A. | {1,2} |
| B. | {3,5,9} |
| C. | {1,2,3,5,9} |
| D. | none of these |
| Answer» C. {1,2,3,5,9} | |
| 355. |
{ (a, b) : a² +b² = 1} on the set S has the following relation |
| A. | reflexive |
| B. | symmetric |
| C. | reflexive and transitive |
| D. | none |
| Answer» C. reflexive and transitive | |
| 356. |
The range of the function f(x) = │x – 1│ is |
| A. | R |
| B. | [0, ∞) |
| C. | (0, - ∞) |
| D. | (- ∞, 0) |
| Answer» C. (0, - ∞) | |
| 357. |
Solve f(x) = √9-x² the range is |
| A. | {x: 3≤ x ≤ 0} |
| B. | {x: 0≤ x ≤ 3} |
| C. | {x: 0< x < 3} |
| D. | {x: 3< x <0} |
| Answer» C. {x: 0< x < 3} | |
| 358. |
If n (A) = 115, n (B) = 326, n (A-B) = 47, then n (A U B) is equal to |
| A. | 165 |
| B. | 370 |
| C. | 373 |
| D. | 422 |
| Answer» D. 422 | |
| 359. |
If A = {1, 2, 5} and B = {3, 4, 5, 9}, then A ? B is equal to |
| A. | {1, 2, 5, 9} |
| B. | {1, 2, 3, 4, 5, 9} |
| C. | {1, 2, 3, 4, 9} |
| D. | none of these |
| Answer» D. none of these | |
| 360. |
Let R= {(x,y) :x, y belong to N, 2x+y =41}. The range is of the relation R is |
| A. | {2n: n belongs to N, 1< n< 20} |
| B. | { (2n+2) : n belongs to N, 1< n <20} |
| C. | {(2n +1):n belongs to N , 1≤ n≤ 20} |
| D. | {(2n-1) : n belongs to N, 1≤ n≤ 20} |
| Answer» E. | |
| 361. |
If A and B are two sets containing respectively m and n distinct elements. How many different relations can be defined for A and B? |
| A. | 2m-n |
| B. | 2m/n |
| C. | 2mn |
| D. | 2m+n |
| Answer» D. 2m+n | |
| 362. |
If A = {x ? C: x2 = 1} and B = {x ? C: x4 = 1}, then A ? B is equal to |
| A. | {-i, i} |
| B. | {-1, 1} |
| C. | {-1, 1, i, -i} |
| D. | none of these |
| Answer» B. {-1, 1} | |
| 363. |
If A = {1, 2, 5} and B = {3, 4, 5, 9}, then A ? B is equal to If A = {x: x = 3n, n ? 6, n ? N} and B = {x: x = 9n, n ? 4, n ? N}, then which of the following is false? |
| A. | A ? B = {9, 81, 729, 6561} |
| B. | A U B = {3, 9, 27, 81,243, 729, 6561} |
| C. | A-B = {3, 27,243} (d) A ? D = {3, 27, 243, 6561} |
| D. | none of these |
| Answer» B. A U B = {3, 9, 27, 81,243, 729, 6561} | |
| 364. |
If A, B, C be three sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C, then. |
| A. | A = B |
| B. | A = C |
| C. | B = C |
| D. | A = B = C |
| Answer» D. A = B = C | |
| 365. |
A set consisting of a definite number of elements is called a |
| A. | Finite set |
| B. | Null set |
| C. | Infinite set |
| D. | Singleton set |
| Answer» B. Null set | |
| 366. |
The number of proper subsets of the set {1, 2, 3} is. |
| A. | 5 |
| B. | 6 |
| C. | 7 |
| D. | 8 |
| Answer» C. 7 | |
| 367. |
Two finite sets have n and m elements. The number of elements in the power set of first set is 48 more than the total number of elements in power set of the second set. Then the values of m and n are |
| A. | 6, 3 |
| B. | 7, 6 |
| C. | 6, 4 |
| D. | 7, 4 |
| Answer» D. 7, 4 | |
| 368. |
If A and B are any two sets, then A ∩ (A ∪ B) is equal to |
| A. | A |
| B. | B |
| C. | Ac |
| D. | Bc |
| Answer» B. B | |
| 369. |
If A, B and C are any three sets, then A – (B ∪ C) is equal to |
| A. | (A - B) ∪ C |
| B. | (A - B) ∩ C |
| C. | (A - B) ∩ (A - C) |
| D. | (A - B) ∪ (A - C) |
| Answer» D. (A - B) ∪ (A - C) | |
| 370. |
The smallest set A such that A ∪ {1, 2} = {1, 2, 3, 5, 9} is |
| A. | {2, 3, 5} |
| B. | {3, 5, 9} |
| C. | {1,2, 5, 9} |
| D. | None of these |
| Answer» C. {1,2, 5, 9} | |
| 371. |
If A, B and C are any three sets, then A × (B ∪ C) is equal to. |
| A. | (A ∪ B) × (A ∪ C) |
| B. | (A × B) ∩ (A × C) |
| C. | (A × B) ∪ (A × C) |
| D. | None of these |
| Answer» D. None of these | |
| 372. |
A = {x: x ≠ x }represents |
| A. | {} |
| B. | {0} |
| C. | {1} |
| D. | {x} |
| Answer» B. {0} | |
| 373. |
In a set – builder method, the null set is represented by |
| A. | Φ |
| B. | { } |
| C. | { x : x = x} |
| D. | { x : x ≠ x} |
| Answer» E. | |
| 374. |
If x ≠ 1, and f(x) = x + 1 / x – 1 is a real function, then f(f(f(2))) is |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» D. 4 | |
| 375. |
If A ∩ B = B, then. |
| A. | A = ø |
| B. | B = ø |
| C. | A ⊂ B |
| D. | B ⊂ A |
| Answer» D. B ⊂ A | |
| 376. |
If A and B are any two sets, then A ∪ (A ∩ B) is equal to. |
| A. | A |
| B. | B |
| C. | Ac |
| D. | Bc |
| Answer» B. B | |
| 377. |
A survey showed that 63 % of the Americans like cheese whereas 76 % like apples. If x % of Americans like both cheese and apples, then find the range of x? |
| A. | 0 ≤ x ≤ 23 % |
| B. | 4 ≤ x ≤ 35 % |
| C. | 0 ≤ x ≤ 39 % |
| D. | 6 ≤ x ≤ 33 % |
| Answer» D. 6 ≤ x ≤ 33 % | |
| 378. |
If the set has p elements, b has q elements, the no of elements in A x B is |
| A. | p² |
| B. | pq |
| C. | p + q |
| D. | p + q + 1 |
| Answer» C. p + q | |
| 379. |
If A is any set, then |
| A. | A ∩ A' = U |
| B. | A ∪ A' = U |
| C. | A ∪ A' = ø |
| D. | None of these |
| Answer» B. A ∪ A' = U | |
| 380. |
The set of intelligent students in a class is. |
| A. | A null set |
| B. | A finite set |
| C. | A singleton set |
| D. | Not a well defined collection |
| Answer» E. | |
| 381. |
(A’)’ = ? |
| A. | A |
| B. | U |
| C. | A’ |
| D. | U-A |
| Answer» B. U | |
| 382. |
The union of sets A and B is expressed as ? |
| A. | A/B |
| B. | AUB |
| C. | AxB |
| D. | A-B |
| Answer» C. AxB | |
| 383. |
In lst quadrant ? |
| A. | X < 0, Y > 0 |
| B. | X > 0, Y < 0 |
| C. | X > 0, Y > 0 |
| D. | X < 0, Y < 0 |
| Answer» D. X < 0, Y < 0 | |
| 384. |
A C B is read as ? |
| A. | A is a subset of B |
| B. | B is a subset of A |
| C. | A is less than B |
| D. | A is a proper subset of B |
| Answer» E. | |
| 385. |
If A = {0,2) and B = {1,3), then Cartesian product ? |
| A. | AxB not equal BxA |
| B. | AxB = BxA |
| C. | is not possible |
| D. | None of the above |
| Answer» B. AxB = BxA | |
| 386. |
If A is not equal to B, then the Cartesian product ? |
| A. | A x B not equal B x A |
| B. | A x B = B >< A |
| C. | is not possible |
| D. | None of the above |
| Answer» B. A x B = B >< A | |
| 387. |
In 3rd quadrant ? |
| A. | X < 0, Y > 0 |
| B. | X > 0, Y < 0 |
| C. | X < 0, Y > 0 |
| D. | X < 0, Y > 0 |
| Answer» E. | |
| 388. |
If A =[5,6,7] and B=[7,8,9]then A U B is equal to: |
| A. | [5,6,7] |
| B. | [7,8,9] |
| C. | [5,6,7,8,9] |
| D. | None of these |
| Answer» D. None of these | |
| 389. |
A—B is read as ? |
| A. | Difference of B and A |
| B. | Difference of A and B of B and A |
| C. | Both a and b |
| D. | None of the above |
| Answer» C. Both a and b | |
| 390. |
In 2nd quadrant ? |
| A. | X < 0, Y > 0 |
| B. | X > 0, Y > 0 |
| C. | X > 0, Y < 0 |
| D. | X < 0,Y < 0 |
| Answer» B. X > 0, Y > 0 | |
| 391. |
In 4th quadrant ? |
| A. | X < 0, Y > 0 |
| B. | X > 0, Y < 0 |
| C. | X > 0, Y > 0 |
| D. | X < 0, Y < 0 |
| Answer» C. X > 0, Y > 0 | |
| 392. |
How many rational and irrational numbers are possible between 0 and 1 ? |
| A. | 0 |
| B. | Finite |
| C. | Infinite |
| D. | 1 |
| Answer» D. 1 | |
| 393. |
If R = {(1,1),(2,3),(4,5)}, then domain of the function is ? |
| A. | Range R = {2,3,4,5} |
| B. | Range R {1,1,4,5} |
| C. | Range R = {I,3,5} |
| D. | Range R {1,2,5} |
| Answer» D. Range R {1,2,5} | |
| 394. |
The intersection of sets A and B is expressed as ? |
| A. | AxB |
| B. | AnB |
| C. | A-B |
| D. | A/B |
| Answer» C. A-B | |
| 395. |
A set has n elements, then the, number of elements in its power set is ? |
| A. | 2n |
| B. | m x n |
| C. | m + n |
| D. | m - n |
| Answer» C. m + n | |
| 396. |
A — B will contain elements in ? |
| A. | A not in B |
| B. | B not in A |
| C. | Both A and B |
| D. | Neither A nor B |
| Answer» B. B not in A | |
| 397. |
A’ will contain how many elements from the original set A |
| A. | 0 |
| B. | 1 |
| C. | Infinite |
| D. | All elements in A |
| Answer» B. 1 | |
| 398. |
Empty set is a ? |
| A. | Infinite Set |
| B. | Invalid Set |
| C. | Finite Set |
| D. | None of the above |
| Answer» D. None of the above | |
| 399. |
Every set is a ___________ of itself |
| A. | Compliment |
| B. | Proper subset |
| C. | Improper subset |
| D. | None of the above |
| Answer» D. None of the above | |
| 400. |
"n/m" means that n is a factor of m, then the relation T is |
| A. | relexive, transitive and not symmetric |
| B. | relexive, transitive and symmetric |
| C. | transitive and symmetric |
| D. | relexive and symmetric |
| Answer» B. relexive, transitive and symmetric | |