Question
Four consecutive two-digit odd numbers add up to a total
that, when divided by 10, results in a perfect square. Which of the following options could 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.
- Ravi scored 50% more in Economics than in Accountancy. If the average of his marks in Economics, Accountancy, and Business Studies is 88 and his marks in B...
Rahul saves Rs. 5800 more if he spends 55% of his income instead of 75%. Find the savings of Sumit whose income is 20% more than that of Rahul, and spen...
Aryan, Bhavya, and Chetan initiated a venture with initial investments of Rs. 50,000, Rs. 60,000, and Rs. 72,000 respectively. After six months, Aryan, ...
- X is 40% less than Y and Z is 30% more than W. If W is 25% more than X, then which of the following is true?
Suresh’s monthly salary is equal to 30% of Mahesh’s monthly salary. Mahesh’s monthly salary is Rs. 28000 less than Mohit’s monthly salary. If M...
What is the total number of students in a college?
Statement I. In the college 24% of the students are between 18 to 24 years of age, and 45% of...
A person purchases 50 shares of a company at a price of Rs 80 per share. He sells part of these shares at a 25% profit and the rest at a 15% loss. If hi...
Find the rate of interest if amount after 2 years on simple interest on a capital of Rs 1000 is Rs 1200.
Rohit spends 25% of his income on groceries, 40% of the remaining income on entertainment, 60% of the amount left after expenditure on groceries and ent...
0.5 is what percentage of 20?
