Arithmetic mean of 2, 4, 6, 8, 10, and 12A.M = Sum of terms / No. of termsA.M = (2 + 4 + 6 + 8 + 10 + 12) / 6A.M = 42 / 6A.M = 7
To find the pattern in the series, let's analyze the differences between consecutive terms:
8 - 2 = 6
26 - 8 = 18
62 - 26 = 36
122 - 62 = 60
212 - 122 = 90
Notice that the differences between consecutive terms follow the pattern of adding consecutive even numbers: 6, 18, 36, 60, 90.
So, to find the next term in the series, we add the next consecutive even number to 212:
212 + 120 = 332
Therefore, the next term in the series is 332.
2 × 2 = 4
4 × 2 = 8
8 × 2 = 16
16 × 2 = 32
Two numbers are in the ratio 5:4 and their difference is 10 what is the larger number
let the numbers be 5x and 4x
5x - 4x = 10
x = 10
the numbers are 50 and 40
5x is the larger number
Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.
∴ (2x + 2) + 2x + x = 27
⇒ 5x = 25
⇒ x = 5.
Hence, B's age = 2x = 10 years.
2 * 2 = 4
3 * 3 = 9
4 * 4 = 16
5 * 5 = 25
6 * 6 = 36
Therefore, the series is 2, 4, 3, 9, 4, 16, 5, 25,36.
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ND11-12-2022
Amount of work done by A and B in 1 day = 1/30
Amount of work done by A and B in 20 days = 20 × (1/30) = 20/30 = 2/3
Remaining work – 1 – 2/3 = 1/3
A completes 1/3 work in 20 days
Amount of work A can do in 1 day = (1/3)/20 = 1/60
=> A can complete the work in 60 days
The area of a rectangle is calculated by multiplying its length by its breadth:
Area = Length × Breadth
= 16 cm × 3 cm
= 48 cm²