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.
| 301. |
A Subset of B x B is called a |
| A. | Relation in A |
| B. | Relation in B |
| C. | Relation from A to B |
| D. | Relation from B to A |
| Answer» C. Relation from A to B | |
| 302. |
Set of real number R is a subset of |
| A. | The set of integers |
| B. | The set of Even integers |
| C. | The set of Natural numbers |
| D. | The set of Complex numbers |
| Answer» E. | |
| 303. |
An implication or conditional "if p then q "is denoted by |
| A. | p ← q |
| B. | p Ʌ q |
| C. | p → q |
| D. | p ˅ q |
| Answer» D. p ˅ q | |
| 304. |
(A ∪ B) ∪ C = |
| A. | A ∩ (B ∪ C) |
| B. | A ∪ ( B ∪ C) |
| C. | A ∪ (B ∩ C) |
| D. | π |
| Answer» C. A ∪ (B ∩ C) | |
| 305. |
P: 7 < 4, q: 6 > 11, disjuntion p˅q is |
| A. | Known |
| B. | Unknown |
| C. | True |
| D. | False |
| Answer» E. | |
| 306. |
{x|x ε N, x ≤ 10} is the |
| A. | Tabular method |
| B. | Set builder notation |
| C. | Descriptive method. |
| D. | Non descriptive method |
| Answer» C. Descriptive method. | |
| 307. |
A conjunction of two statement p and q is true only if |
| A. | p is true |
| B. | q is true |
| C. | both p and q are true |
| D. | both p and q are false |
| Answer» D. both p and q are false | |
| 308. |
A subset of A x A is called a |
| A. | Relation in A |
| B. | Relation in B |
| C. | Relation from A to B |
| D. | Relation from B to A |
| Answer» B. Relation in B | |
| 309. |
Conjunction of two statement p and q is denoted by |
| A. | p Ʌ q |
| B. | p ← q |
| C. | p → q |
| D. | p ↔ q |
| Answer» B. p ← q | |
| 310. |
Identity relation in A = {1,2,3,4,5,6} is |
| A. | {(1,1), (2,2),(3,3)} |
| B. | {(4,4),(5,5)(6,6)} |
| C. | {(1,1),(3,3)(4,4),(5,5)} |
| D. | {(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)} |
| Answer» E. | |
| 311. |
Set of first element of ordered pair forming a relation is called its |
| A. | Range |
| B. | Domain |
| C. | Relation in A |
| D. | Relation in B |
| Answer» B. Domain | |
| 312. |
If for two sets A and B, A U B = A? B = A, then we have |
| A. | A = B |
| B. | B ? A ? |
| C. | A- B ? f |
| D. | None of these |
| Answer» B. B ? A ? | |
| 313. |
If X = {1, 2, 3, 4, 5, 6, 7, 8, 9} A = {x ? N: 30 < x2 < 70}, B = {x : x is a prime number less than 10}, then which of the following is false: |
| A. | A-B = {6, 8} |
| B. | A? B = {7, 8} |
| C. | A ? B = {2, 3, 5, 6, 8} |
| D. | A U B = {2, 3, 5, 6, 7, 8} |
| Answer» C. A ? B = {2, 3, 5, 6, 8} | |
| 314. |
Let R be a relation N define by x + 2y = 8 . The domain of R is |
| A. | {2,4,6} |
| B. | {2,4,8} |
| C. | {1,2,3,4} |
| D. | {2,4,6,8} |
| Answer» B. {2,4,8} | |
| 315. |
If for a ? N, aN = {ax: x ? N}, then the set 6 N ? 8 N is equal to |
| A. | 8N |
| B. | 48N |
| C. | 24N |
| D. | 72N |
| Answer» C. 24N | |
| 316. |
If A Í B, then B’ – A’ is equal to |
| A. | ? |
| B. | A' |
| C. | B' |
| D. | A-B |
| Answer» B. A' | |
| 317. |
Number of subsets of a set of 4 elements |
| A. | 2 |
| B. | 4 |
| C. | 8 |
| D. | 16 |
| Answer» E. | |
| 318. |
A conditional statemnt is regarded as false only antecedent is true and consequent is |
| A. | Known |
| B. | Unknown |
| C. | True |
| D. | False |
| Answer» E. | |
| 319. |
A subset of B x A is called a |
| A. | Relation from B to A |
| B. | Relation from A to B |
| C. | Relation in B |
| D. | Relation in A |
| Answer» B. Relation from A to B | |
| 320. |
In a statement "if p then q" q is |
| A. | unknown |
| B. | conclusion |
| C. | hypothesis |
| D. | implication |
| Answer» C. hypothesis | |
| 321. |
Disjunction of two statements p and q is denoted by |
| A. | p ˅ q |
| B. | p ← q |
| C. | p → q |
| D. | p ↔ q |
| Answer» B. p ← q | |
| 322. |
Which of the following sets are null sets: |
| A. | 2 and 3 |
| B. | {x: x < 5, x > 6} |
| C. | {x: |x |< -4, x ?N} |
| D. | Set of all prime numbers between 15 and 19 |
| Answer» B. {x: x < 5, x > 6} | |
| 323. |
Which of the following are true: |
| A. | 1 and 2 |
| B. | {x: x >3, x ?0} ? ? |
| C. | {x: x2-1= 0, x ?N} ? {-1, 1} |
| D. | {x: x2 - 4x + 3 = 0} = {1, 3} |
| Answer» B. {x: x >3, x ?0} ? ? | |
| 324. |
Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. The values of m and n are respectively |
| A. | 4,1 |
| B. | 6, 3 |
| C. | 8, 5 |
| D. | none of these |
| Answer» C. 8, 5 | |
| 325. |
Let A = {x: x is a digit in the number 3591}, B = {x: x ? N, x |
| A. | A? B = {1,3,5,9} |
| B. | A-B = {2,4,6,7,8} |
| C. | A U B = {1,2,3,4,5,6,7,8,9} |
| D. | none of these |
| Answer» C. A U B = {1,2,3,4,5,6,7,8,9} | |
| 326. |
If A = {4n -3n -1: n ? N} and B = {9(n-1): n ? N}, then we have |
| A. | B Í A |
| B. | A Ì B |
| C. | A? B = ? |
| D. | none of these |
| Answer» C. A? B = ? | |
| 327. |
A compound statement of form " if p then q " is called an |
| A. | unknown |
| B. | conclusion |
| C. | implication |
| D. | hypothesis |
| Answer» D. hypothesis | |
| 328. |
P: 4 < 7, q: 6 > 11, conjuntion pɅ q is |
| A. | TRUE |
| B. | FALSE |
| C. | unknown |
| D. | not valid |
| Answer» C. unknown | |
| 329. |
{X | x ε N Ʌ x < 1} is the |
| A. | Empty set. |
| B. | singleton set. |
| C. | a set with three points. |
| D. | The set with two points. |
| Answer» E. | |
| 330. |
Set of rational numbers Q is a subset of |
| A. | The set of integers. |
| B. | set of Natural numbers. |
| C. | The set of Even integers. |
| D. | The set of Complex numbers. |
| Answer» E. | |
| 331. |
If A = {1, 2, 3, 4, 5}, then the number of proper subsets of A is |
| A. | 30 |
| B. | 31 |
| C. | 32 |
| D. | 33 |
| Answer» C. 32 | |
| 332. |
Which of the following does not have a proper subset |
| A. | {x: x ? Q} |
| B. | {x: x ? Q, 3 < x < 4 |
| C. | {x: x ? N, 3 < x < 4} |
| D. | none of these |
| Answer» D. none of these | |
| 333. |
Let X be the universal set for sets A and B. If n (A) = 200, n (B) = 300 and n (A?B) = 100, then n(A’? B’) is equal to 300 provided n(X) is equal to |
| A. | 500 |
| B. | 600 |
| C. | 700 |
| D. | 800 |
| Answer» D. 800 | |
| 334. |
If A = {(x, y) : x2 + y2 = 1; x, y ? R} and B = {(x, y): x2 + y2 = 4; x, y ?R} then |
| A. | A ? B = ? |
| B. | A ? B ? f |
| C. | A ? B = ? |
| D. | B ?A = B |
| Answer» B. A ? B ? f | |
| 335. |
If A U B = AU C and A ? B = A ? C, then |
| A. | B = C |
| B. | B = C only when A Í C |
| C. | B = C only when A ? B |
| D. | none of these |
| Answer» B. B = C only when A Í C | |
| 336. |
If A Í B then which of the following are correct? |
| A. | A- B = ? |
| B. | A U B = B |
| C. | A ? B = B - A |
| D. | All of these |
| Answer» E. | |
| 337. |
Which of the following is not correct? |
| A. | A ÍA' if and only if A = ? |
| B. | B = C if and only if A U B = A U C and A ? B = A? C |
| C. | A' Í A if and only if A = X, where X is the universal set |
| D. | All of these |
| Answer» E. | |
| 338. |
If A = {1, 2, 3, 6, 11,18, 21}, B = {5, 7, 9} and N is the universal set, then A’ U ((AU B) ? B’) is equal to |
| A. | A |
| B. | B |
| C. | N |
| D. | N-A |
| Answer» D. N-A | |
| 339. |
If aN = {an : n ? N} and bN ? cN = dN, where a, b, c ? N and b, c are coprime, then |
| A. | a = bd |
| B. | b = cd |
| C. | c = bd |
| D. | d = bc |
| Answer» E. | |
| 340. |
A survey shows that 63% of the Americans like cheese whereas 76% like apples. If x% of the Americans like both cheese and apples, then we have |
| A. | x ? 39 |
| B. | x ? 63 |
| C. | 39 ? x ? 63 |
| D. | none of these |
| Answer» D. none of these | |
| 341. |
The set (A U B U C) ? (A ? B’ ? C’)’ ? C’ is equal to |
| A. | B?C' |
| B. | A ? C |
| C. | B' ? C' |
| D. | none of these. |
| Answer» B. A ? C | |
| 342. |
A set contains k elements. The power set of this set contains |
| A. | k elements |
| B. | 2k elements |
| C. | k2 elements |
| D. | 2k ? 2 elements |
| Answer» C. k2 elements | |
| 343. |
Let f = {(x, x² /1+x² ): x € R } be a function from R into R . range of x is |
| A. | positive real numbers. |
| B. | negative real numbers |
| C. | non negative real numbers |
| D. | any positive real number x such that 0≤ x <1 |
| Answer» E. | |
| 344. |
A set is known by its _______. |
| A. | Elements |
| B. | Members |
| C. | Letters |
| D. | Values |
| Answer» B. Members | |
| 345. |
The range of the function f(x) = x / │x│ is |
| A. | R - {0} |
| B. | {-1, 1} |
| C. | R – {-1, 1} |
| D. | None of these |
| Answer» C. R – {-1, 1} | |
| 346. |
If f(x) = Log [(1 + x)/(1-x), then f (2x )/(1 + x²) is equal to |
| A. | {f(x)}² |
| B. | {f(x)}³ |
| C. | 2 f (x) |
| D. | 3 f(x) |
| Answer» D. 3 f(x) | |
| 347. |
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. | atleast one of the sets Si is an ininite set |
| C. | not more than one of the set Si can be inite |
| D. | none of these |
| Answer» C. not more than one of the set Si can be inite | |
| 348. |
If A and B are sets and A∪ B= A ∩ B, then |
| A. | A = B |
| B. | A = Φ |
| C. | B = Φ |
| D. | none of these |
| Answer» B. A = Φ | |
| 349. |
The number of elements in the Power set P(S) of the set S = [ [ Φ] , 1, [ 2, 3 ]] is |
| A. | 2 |
| B. | 4 |
| C. | 6 |
| D. | 8 |
| Answer» E. | |
| 350. |
Let P(S) denote the power set of set S. Which of the following is always TRUE ? |
| A. | S ∉ P(S) |
| B. | P(P(S)) = P(S) |
| C. | P(S) ∩ S = P (S) |
| D. | P(S) ∩ P(P(S)) = [ φ ] |
| Answer» E. | |