Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
This question is based on five, four-digit numbers given below. (Example- 6970 тАУ First digit = 6, second digit = 9, third digit = 7 and fourth digit=0) 2314 7651 3245 9072 8062 How many numbers are there wherein the sum of first and second digits is equal to the sum of third and fourth digits?
Three
Four
One
Two
Three
To solve this problem, we calculate the sum of the first two digits and the last two digits for each number: 2+3=5, 1+4=5 (Match); 7+6=13, 5+1=6 (No match); 3+2=5, 4+5=9 (No match); 9+0=9, 7+2=9 (Match); 8+0=8, 6+2=8 (Match). Since three numbers satisfy the condition, the result is three.
To solve this problem, we calculate the sum of the first two digits and the last two digits for each number: 2+3=5, 1+4=5 (Match); 7+6=13, 5+1=6 (No match); 3+2=5, 4+5=9 (No match); 9+0=9, 7+2=9 (Match); 8+0=8, 6+2=8 (Match). Since three numbers satisfy the condition, the result is three.
This mathematical reasoning question tests numerical aptitude, which is a foundational component of the General Intelligence and Reasoning section in competitive exams like SSC CGL and UPSC CSAT.
Identify individual digits of the 4-digit numbers based on their position (1st to 4th).
Perform addition of specific pairs as defined by the problem constraint.
Verify every number against the constraint to ensure no count is missed.
Numerical reasoning questions require systematic step-by-step verification to avoid calculation errors.
The process involves binary condition testing (Sum A == Sum B) for each element in the set.
Option B (Four) and Option C (One) are incorrect as they do not align with the derived count of three valid numbers.
A is correct тАФ The numbers 2314, 9072, and 8062 satisfy the given condition.
Similar logic is often applied in 'Number Series' and 'Missing Number' problems where digits within a number or sequences of numbers follow specific operational rules (addition, subtraction, or arithmetic progressions).
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants