Question
Four number-pairs are given, out of which three are
alike in a certain manner and one is different. Choose the different number pair.Solution
The logic followed here is as follows: The square of each digit of the 1st number is added together and then, the resultant is multiplied by 2 to obtain the 2nd number. 379: 278 → [2 × {(3)² + (7)²+ (9)² }] = [2 × {9 + 49 + 81}]= [2 × 139] = 278 663: 162 → [2 × {(6)² + (6)² + (3)² }] = [2 × {36 + 36 + 9}]= [2 × 81] = 162 746: 202 → [2 × {(7)² + (4)² + (6)² }] = [2 × {49 + 16 + 36}]= [2 × 101] = 202 498: 382 → [2 × {(4)² + (9)² + (8)² }] = [2 × {16 + 81 + 64}]= [2 × 161] = 322 ≠382
- A sum of money grows to Rs. 7,500 in 5 years and Rs. 8,250 in 7 years under simple interest. What is the original principal amount?
Invest Rs. (3x + 150) at 12% per annum to earn Rs. 1080 after 3 years. Find the interest earned when Rs. (2x - 50) is invested at the same interest rate...
'K' distributed his investments among two distinct funds, Mutual Fund X and Mutual Fund Y, in the respective ratio of 9:8. While Mutual Fund X generates...
Riya invests Rs. ‘X’ for 5 years in scheme-A offering simple interest at 12% p.a., while Karan invests the same amount for 3 years in scheme-B offer...
Ankita invested Rs. 1800 at an annual interest rate of (a + 5)%, and she earned a total interest of Rs. 1404 after three years. Now, if she decides to i...
Some amount out of Rs. 15000 was lent out at 10% per annum and the rest amount @ 16% per annum and thus in 4 years the total interest from both the amou...
Suresh earned an interest of Rs. 516 on principal amount of Rs. 1600 at some rate of compound interest in 2 years. How much more/less interest would he ...
A certain sum of money invested at a rate of 12% p.a. amounts to Rs. 11576.25 at the end of 15 months if the rate of interest is compounded 5 monthly. F...
What is the difference between the simple interest earned on an investment of Rs. 16,200 for 5.5 years at an annual interest rate of 8%, and the total a...
- A certain amount was deposited at compound interest of x% per annum, compounded annually. It grows to Rs. 6400 in 2 years and Rs. 9216 in 3 years. Determin...