Question : The difference between two numbers is 9 and the difference between their squares is 207. The numbers are:
Option 1: 17 and 8
Option 2: 16 and 7
Option 3: 15 and 6
Option 4: 15 and 7
Latest: SSC CGL 2024 final Result Out | SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL Tier 1 Scorecard 2024 Released | SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: 16 and 7
Solution : Given: The difference between the two numbers is 9. The difference between their squares is 207. Let the numbers be $x$ and $y$. Difference between the numbers $(x-y)=9$ ----------------------(1) Difference between their squares $(x^{2}-y^{2})=207$ $⇒(x-y)(x+y)=207$ ---------------------------(2) Substituting the value of $(x-y)$ in equation (2) $⇒9×(x+y)=207$ $⇒(x+y)=23$ -------------------------(3) Adding equations (1) and (3), we get, $⇒2x=32$ $\therefore x=16$ So, $y=(23-16)=7$ Hence, the correct answer is 16 and 7.
Candidates can download this ebook to know all about SSC CGL.
Admit Card | Eligibility | Application | Selection Process | Preparation Tips | Result | Answer Key
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct? × and +, 9 and 6
Option 1: 7 × 6 ÷ 3 + 9 – 8 = 17
Option 2: 6 × 8 – 9 ÷ 3 + 5 = 50
Option 3: 7 + 6 × 4 ÷ 9 – 8 = 8
Option 4: 9 × 7 + 4 ÷ 1 – 6 = 7
Question : The sum of two numbers is equal to 25 and their difference is 20. The ratio of the two numbers is:
Option 1: 9 : 1
Option 2: 7 : 9
Option 3: 3 : 5
Option 4: 2 : 7
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct? – and +, 6 and 3
Option 1: 7 – 3 × 2 ÷ 6 + 4 = 17
Option 2: 8 × 3 – 6 + 4 ÷ 2 = 49
Option 3: 7 + 6 ÷ 3 × 8 – 5 = 35
Option 4: 9 – 6 ÷ 4 + 3 × 7 = 8
Question : If the ratio of two numbers is 1 : 5 and their product is 320, the difference between the squares of these two numbers is:
Option 1: 1024
Option 2: 1256
Option 3: 1536
Option 4: 1435
Question : Directions: By Interchanging the given two numbers which of the following equations will be not correct? 3 and 8
Option 1: 7 + 3 – 4 ÷ 2 × 8 = 9
Option 2: 6 ÷ 2 × 8 + 3 – 1 = 17
Option 3: 8 – 3 + 6 × 2 ÷ 4 = -2
Option 4: 2 + 3 – 6 ÷ 2 × 8 = 1
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile