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Question 17: Let A = {1, 2, 3, 4, . . . , 10} and B = { m/n : m, n∈ A, m< n and gcd (m, n) = 1}. Then n(B) is equal to : (i)  31               (ii)  36 (iii) 37              … Read more

Question 3:- Let the triangle PQR be the image of the triangle with vertices (1, 3), (3, 1) and (2, 4) in the line x + 2y = 2. If the centroid of ΔPQR is the point (α, β), then 15(α – β) is equal to : (1) 24              … Read more

Question 5:- From a library containing 5 identical physics books, 4 identical chemistry books & 6 identical maths books. Find the number of ways in which we can select (a) At least one book (b) At least one book of each subject (c) At least 2 books (d) At least 2 book of each subject. … Read more

Question 4:- Assuming cricket wordcup-2023 is played 10 teams. How many total matches are played in the league stage if each team plays with every other team exactly once Solution:- Number of team = 10 Selection of 2 team from 10 team if each team plays with every other team exactly once = 45 Question … Read more

Question 3:- 2n chairs are arranged symmetrically around a table. there are 2n people including A and B, whose wish to occupy the chair. Find the number of seating arrangements if:- (i) A and B are next to each (ii) A and B are diametrical Solution:- (i) If A and B sit together then, number … Read more

Question 1:- Let S be the set of all passwords which are six to eight characters long, where each character is either an alphabet from {A, B, C, D, E} or a number {1, 2, 3, 4, 5} with the repetition of characters allowed. If the number of passwords in S whose at least one … Read more

SBI Clerk Mains Admit Card 2025 Download Now! State Bank of India (SBI) has officially released the SBI Clerk Mains Admit Card 2025 on April 1, 2025. Candidates who have successfully qualified for the preliminary exam can now download their Mains Admit Card from the official website sbi.co.in. The admit card can be accessed from … Read more

Question 6:- A die with number 1 to 6 is biased such that P(2) = 3/10 and probability of other numbers is equal. Find the mean of the number of times number 2 appears on the dice, if the dice is thrown twice. Solution:-  Probability of number 2 appears on dice P(A) = 3/10 Probability … Read more

Learn how to find The nth derivative of tan inverse (1+x)/(1-x) using partial fractions and differentiation techniques. Follow our detailed step-by-step solution to master this calculus problem Q 3:- Find the nth derivative of Solution:- Let Let ⇒ ⇒ ⇒ ⇒ Now, differentiate with respect to x ⇒ ⇒ ⇒ Using partial fraction .  .  . … Read more