Question : If 'a' and 'b' are positive integers such that a2 – b2 = 19, then the value of 'a' is:
Option 1: 10
Option 2: 20
Option 3: 9
Option 4: 19
New: SSC MTS Tier 1 Answer key 2024 out
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 10
Solution : a2 – b2 = 19 ⇒ (a + b)(a – b) = 19 × 1 Since 'a' and 'b' are positive integers, ⇒ a + b = 19 -------(i) and a – b = 1 ------(ii) Adding equations (i) and (ii), we get, 2a = 20 ⇒ a = 10 Hence, the correct answer is 10.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : If a : b = b : c, then what is the value of a6 : b6?
Option 1: a3 : b3
Option 2: b3 : ac
Option 3: a3 : c3
Option 4: a2 : b2
Question : When was the 'League of Nations' formed?
Option 1: 10th February 1920
Option 2: 10th December 1919
Option 3: 10th January 1920
Option 4: 1st January 1920
Question : If A = 23 × 37, B = 27 × 35 and C = 28 × 34, then what is the least common multiple of A, B and C?
Option 1: 27× 37
Option 2: 26 × 37
Option 3: 28 × 37
Option 4: 29 × 37
Question : Suspension particles have a size between
Option 1: 10-2 and 10-4 cm
Option 2: 10-5 and 10-7 cm
Option 3: 10-8 and 10-10 cm
Option 4: 10-1 and 10-2 cm
Question : Find the value of 144 ÷ 12 + 42 – 44 + 54 ÷ 3 × 2.
Option 1: 5
Option 2: 15
Option 3: 20
Option 4: 30
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile