All questions

• WAP in C++ that first initializes an array of given 10- sorted real numbers. The program must verify whether a given Output:: Below code is executed on gdb turbo c++ compiler , it takes 10 input of given number then sort by binary search technique #include<... Programming 2 answers
• write html code for following Faculty Arts Science Commerce Code :: <!DOCTYPE html> <table border="1" cellspacing="10px"> <tr> <th rowspan="2" colspan="2" > </th> <th colspan="3"> Faculty</th> </tr> <... HTML 1 answer
• JEE MAINS EXAM APRIL AND MAY SESSION DATES JEE MAINS EXAM APRIL AND MAY SESSION DATES https://jeemain.nta.nic.in/webinfo2021/Page/Page?PageId=1&LangId=P May attempt is postponed Uncategorized 1 answer
• The least value of |z| where z is complex number which satisfies the inequality Answer: (1) 3 Read the inequality as exp((|z|+3)(|z|-1)/|z|+1log_e 2) ≥ log_(sqrt2)|5sqrt7 + 9i| . Right side: |5sqrt7 + 9i| = √(175 + 81) =... COMPLEX NUMBERS AND QUADRATIC EQUATIONS 1 answer
• The area of the triangle with vertices A(z), B(iz) and C (z + iz) is : Answer: (2) 1/2|z|² Look at the sides meeting at C: overrightarrowCA = z - (z + iz) = -iz , length |z| . overrightarrowCB = iz - (z + iz) =... COMPLEX NUMBERS AND QUADRATIC EQUATIONS 1 answer
• Let S1, S2 and S3 be three sets defined as S1 = {z ∈ C : |z - 1| ≤ √2} Answer: (3) Has infinitely many elements Let z = x + iy . S₁ : |z-1| ≤ sqrt2 is the closed disc with centre (1, 0) and radius sqrt2 . S₂ : (... COMPLEX NUMBERS AND QUADRATIC EQUATIONS 1 answer
• If the equation a|z|^2 + bar (bar α z + α bar z) + d = 0 represents a circle Have a look in image for answer COMPLEX NUMBERS AND QUADRATIC EQUATIONS 2 answers
• Let a complex number be w = 1 – √3i . Let another complex number z be such that |zw| = 1 and arg(z) – arg(w) Correct Answer is (2) 1/2 Explaination:: Image:: COMPLEX NUMBERS AND QUADRATIC EQUATIONS 1 answer
• The statement among the following that is a tautology is : (1) A ∧ (A ∧ B) (2) A ∧(A ∧ B) (3) B → [A ∧(A → B)] (4) [A ∧ (A → B)] → B Correct Answer is (4) [A ∧ (A → B)] → B MATHEMATICAL REASONING 2 answers
• The negation of the statement ∼p∧(p∨q) is : A ) p∨∼q B) ∼p∨q C) ∼ p ∧ q D) p ∧ ∼ q Option (A) is correct A ) p∨∼q MATHEMATICAL REASONING 2 answers
• The statement A → (B → A) is equivalent to : (1) A → (A ∧ B) (2) A →(A → B) (3) A → Option 4) is correct (4) A → (A V B) MATHEMATICAL REASONING 2 answers
• The contrapositive of the statement "If you will work, you will earn money" is : (1) You will earn money, Correct answer is (3) If you will not earn money, you will not work Contrapositive of p → q is ~q → ~p p : you will work q : you will earn m... MATHEMATICAL REASONING 1 answer
• Let F1(A,B,C) = (A∧~B) ∨ [~C ∧ (A ∨ B)] ∨~A and F2(A, B) = (A ∨ B) ∨ (B →~A) be two logical expressions. Correct option is (3) (3) F₁ is not tautology but F₂ is a tautology F₁ : (A ∧~B) ∨[~C ∧ (A ∨ B)] ∨~A F₂ : (A ∨ B) ∨ (B →~A) F₁ : (A ∧~B) ∨~A... MATHEMATICAL REASONING 1 answer
• Which of the following Boolean expression is a tautology? (1) (p ∧ q) ∨ (p ∨ q) Correct Answer is 4) (p ∧ q) → (p → q) MATHEMATICAL REASONING 1 answer
• If the Boolean expression (p ⇒ q) ⇔ (q * ( ∼ q) is a tautology, then the boolean expression p * ( ∼ q) is equivalent to : Answer: (a) (p → q) ⇔ (q * ~ P) p q p → q q * ~ P ~ q ~ q ∧ p ~ (~ q ∧ p) T T T T F F T T F F F T T F F T T T F F T F F T T T F T ∴ ~ (~ q ∧... MATHEMATICAL REASONING 1 answer
• If the Boolean expression ( p ∧ q ) ⊙ ( p ⊗ q ) is a tautology, then ⊙ and ⊗ are respectively given by : Option 1 is Correct ( →, →) ( p ∧ q ) → ( p → q ) ( p ∧ q ) → ( ∼ p ∨ q ) ( ∼ p ∨ ∼ q ) ∨ ( ∼ p ∨ q ) ∼ p ∨ ( ∼ q ∨ q ) ⇒ Tautology ⇒ ⊙ ⇒→ ⊗... MATHEMATICAL REASONING 1 answer
• If P and Q are two statements, then which of the following compound statement is a tautology ? Answer: (b) (P ⇒ Q) ^ ~ Q = (~ P ∨ Q) ^ ~ Q ≡ (~ P ∧ ~ Q) ∨ (Q ∧ ~ Q) = (~ P ∨ ~ Q) ∨ (Q ^ ~ Q) = ~ (P ∨ Q) Now, (1) ~ (P v Q) ⇒ P = (P v Q)... MATHEMATICAL REASONING 1 answer
• Let Z be the set of integers. If A = {x ∈ Z : 2(x +2)(x^2 - 5x + 6) = 1} and B {x ∈ Z : -3 < 2x - 1 < 9}, Option 2) 215 is correct SETS, RELATIONS AND FUNCTIONS 2 answers
• Let S = {1, 2, 3, ... , 100}. The number of non-empty subsets A of S such that the product of elements in A is even is : The correct option (2) 2⁵⁰(2⁵⁰ – 1) Explanation: Product of elements in A is even = (total subjects) – (Number of subject of all whose eleme... SETS, RELATIONS AND FUNCTIONS 1 answer
• Let X = {n ∈ N : 1 ≤ n ≤ 50}. If A = {n ∈ X : n is multiple of 2} and B = {n ∈ X : n is a multiple of 7}, n(A) = 25 n(B) = 7 n(A ∩ B) = 3 n(A ∪ B) = 25 + 7 - 3 = 29 SETS, RELATIONS AND FUNCTIONS 2 answers
• Let Ui = 1 Xi for i ∈ 50 = Ui = 1 for i ∈ n Yi = T, where each Xi contains 10 elements and each Yi contains 5 elements. Correct answer is 30 EXplaination: n(X_i) = 10. U_(i = 1 )X_i for i ∈ 50 = T, n (T) = 500 each element of T belongs to exactly 20 elements o... SETS, RELATIONS AND FUNCTIONS 1 answer
• A survey shows that 73% of the persons working in an office like coffee, whereas 65% like tea. Answer is 36 Note**then x cannot be: C > person like coffee T > Person like Tea n(C)=73 n(T) =65 n(C U T) ≤ 100 n(C)+n(T) -n(C ∩ T) ≤ 100 73... SETS, RELATIONS AND FUNCTIONS 1 answer
• Set A has m elements and Set B has n elements. If the total number of subsets of A is 112 more than the total number of subsets Correct answer is 28 Explaination: No. of subsets of A=2m No. of subsets of B=2n 2^m=2ⁿ+112 2^m−2ⁿ=112 2ⁿ(2^(m−n)−1)=112 2ⁿ(2^(m−n)−1)=2⁴(2³... SETS, RELATIONS AND FUNCTIONS 1 answer
• In a college of 300 students, every student read 5 newspaper and every newspaper is read by 60 students. Correct option is C) Exactly 25 Let the number of newspapers be x. If every student reads one newspaper, the number of students would be x (... SETS, RELATIONS AND FUNCTIONS 1 answer