Question
The digits of a two-digit number βNβ are reversed to
form a new number βMβ. If M < N and N β M = 27, then which of the following maybe βNβ?Solution
ATQ; Let the original number = N = β10a + bβ So, the new number = M = β10b + aβ ATQ; N = M + 27 So, 10a + b = 10b β a + 27 Or, 9a β 9b = 27 Or, a β b = 3 So, possible pairs of βaβ and βbβ = (9, 6), (8, 5), (7, 4), (6, 3), (5, 2), (4, 1) So, possible values of βNβ = 96, 85, 74, 63, 52, 41 Alternate Solution From option βaβ: N = 69 So, M = 96 Since, M > N {not possible} N = 41 So, M = 14 Also, N β M = 41 β 14 = 27
In how many ways can 5 boys and 5 girls sit around a circle such that no two boys sit adjacent and no two girls sit adjacent?
Find minimum of x + 9/x for x>0.
Find the equation if a point P(x, y) is equidistant from A(7, 3) and B(-3, 7).
Income of A is twice the income of B. B and A spend 55% and 65% respectively of their incomes. Find the savings of A, if B saves Rs. 18000 in a month.
Determine how many composite numbers exist between 61 and 99?
A rectangular prism has dimensions 10 cm Γ 6 cm Γ 4 cm. If a cube of side 2 cm is removed from one of the corners, what is the volume of the remaining...
What term is used to refer readers to a specific source within the same document, such as a table or graph?
A companyβs quarterly sales (in lakh units) are:
Q1: 18, Q2: 24, Q3: 21, Q4: 27
Find the percentage increase from...
124, 160, 224, ?,Β 468, 664
The probability of a student solving a problem correctly is 0.6. Out of 10 independent attempts, what is the probability that he solves at least 8 ?
Relevant for Exams:
