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 square of each digit of the first number is added together and then, the resultant is multiplied by 2 to obtain the second number. 468: 232 → [2 × {(4)² + (6)² + (8)² }] = [2 × {16 + 36 + 64}]= [2 × 116] = 232. 552: 108 → [2 × {(5)² + (5)² + (2)² }] = [2 × {25 + 25 + 4}]= [2 × 54] = 108 635: 140 → [2 × {(6)² + (3)² + (5)² }] = [2 × {36 + 9 + 25}] = [2 × 70] = 140 387: 242 → [2 × {(3)² + (8)² + (7)² }] = [2 × {9 + 64 + 49}] = [2 × 122] = 244
- Average weight of a group of ‘x’ people increased by 2 kg, when a person weighing 68 kg joined the group, while the average weight increased by 3 kg wh...
The average of two numbers ‘X’ and ‘Y’ is 400 such that they are in the ratio 3:5 respectively. Another number ‘Z’ is 80 more than ‘Y’ a...
Average 20 numbers is ‘x’. If the average of first 12 numbers is 62.5 while average of last 5 numbers is 84.8 and 13th, 14th...
- The average of two numbers is 3 more than the smaller number among them. If the greater number is 25% more than the smaller number, then find the sum of th...
A student's marks were wrongly entered as 65 instead of 45. Due to this, the average marks for the class increased by 1 /3 The number of students in the...
The average age of A and B is 16 years. If A is to be replaced by C, the average would be 15 years. The average age of C and A is 17 years. Find the age...
The average weight of 8 persons is increased by 2.5 kg, when a person whose weight is 56 kg, is replaced by a new comer. Find the weight of new comer?
The average cost price of 25 pens (having equal cost price) decreased by Rs.4, when one of the pen is replaced by a new pen having cost price of Rs.60. ...
- The average of series 'S3', which consists of 6 consecutive even numbers, is 33. The second term of series 'T3', which consists of 5 consecutive odd number...
15 years ago, the average age of all the 80 teachers of the college was 50 years. 8 years ago, the principal has retired from her post at the age of 60 ...