Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 14
The sum of four consecutive two-digit odd numbers, when divided by 10, becomes a perfect square. Which of the following can possibly be one of these four numbers?
Solution
Maximum sum of the four numbers <= 384=99+97+95+93
384/10 = 38.4
So, the perfect square is a number less than 38.4
The possibilities are 36, 25, 16 and 9
For the sum to be 360, the numbers can be 87, 89, 91 and 93
The sum of four consecutive odd numbers cannot be 250
For the sum to be 160, the numbers can be 37,39,41 and 43
The sum of 4 consecutive odd numbers cannot be 90
So, from the options, the answer is 41.
Video Solution
Create a FREE account and get:
- All Quant CAT complete Formulas and shortcuts PDF
- 35+ CAT previous year papers with video solutions PDF
- 5000+ Topic-wise Previous year CAT Solved Questions for Free
CAT Quant Questions | CAT Quantitative Ability
CAT Probability, Combinatorics QuestionsCAT Functions, Graphs and Statistics QuestionsCAT Averages, Ratio and Proportion QuestionsCAT Logarithms, Surds and Indices QuestionsCAT Progressions and Series Questions
CAT DILR Questions | LRDI Questions For CAT
CAT Truth Lie Concept QuestionsCAT Charts QuestionsCAT Data change over a period QuestionsCAT Coins and Weights QuestionsCAT Special Charts Questions
