If 12 + 22 + …. + 92 = 285, then the value of (0.11)2 + (0.22)2 + … + (0.99)2 is -
1² + 2² + … + 9² = 285
Need to find: (0.11)² + (0.22)² + … + (0.99)²
Formula used:
If a number is multiplied by 0.11, its square becomes:
(0.11n)² = 0.0121 × n²
Solution:
We can write:
(0.11)² + (0.22)² + … + (0.99)²
= 0.0121 × (1² + 2² + … + 9²)
= 0.0121 × 285
= 3.4485
Correct answer is (c) 3.4485.
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150 Mins English English150 Questions150 Marks150 Mins English English150 Questions150 Marks150 Mins English12 numbers are in arithmetic progression. Average of first and last number of this progression is 16. What is the average of these 12 numbers?
6 + 12 + 18 + 24 + ....... +612 = ?
All pillars of street light was installed in a straight line at a distance of 50 meter(m) interval. What will be the distance between first and ninth pillar ?
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Next number in the series 1, 50, 100, 5000, 10000, ___ is :
On simplification, 1 - 2 + 3 - 4 + 5 - 6 + 7 - 8 + _____+ 111, we get
The sum of 21 + 22 + 23 + .....+ 50 is
1 + 2 + 3 +………+ 50 equals
On simplification 1 – 2 + 3 – 4 + 5 – 6 - - - - + 101, we get
If 12 + 22 + …. + 92 = 285, then the value of (0.11)2 + (0.22)2 + … + (0.99)2 is -
Suggested Test Series
Suggested Test Series
12 numbers are in arithmetic progression. Average of first and last number of this progression is 16. What is the average of these 12 numbers?
6 + 12 + 18 + 24 + ....... +612 = ?
All pillars of street light was installed in a straight line at a distance of 50 meter(m) interval. What will be the distance between first and ninth pillar ?
Find the sum of all three-digit numbers divisible by 9 .
Next number in the series 1, 50, 100, 5000, 10000, ___ is :
On simplification, 1 - 2 + 3 - 4 + 5 - 6 + 7 - 8 + _____+ 111, we get
The sum of 21 + 22 + 23 + .....+ 50 is
1 + 2 + 3 +………+ 50 equals
On simplification 1 – 2 + 3 – 4 + 5 – 6 - - - - + 101, we get
If 12 + 22 + …. + 92 = 285, then the value of (0.11)2 + (0.22)2 + … + (0.99)2 is -
