34.95 240.016 + 23.98 -------- 298.946 --------
29.94 | = | 299.4 |
1.45 | 14.5 |
= | ❨ | 2994 | x | 1 | ❩ | [ Here, Substitute 172 in the place of 2994/14.5 ] |
14.5 | 10 |
= | 172 |
10 |
= 17.2
If | 144 | = | 14.4 | , then the value of x is: |
0.144 | x |
144 | = | 14.4 |
0.144 | x |
⟹ | 144 x 1000 | = | 14.4 |
144 | x |
⟹ x = | 14.4 | = 0.0144 |
1000 |
617.00 6.017 0.617 + 6.0017 -------- 629.6357 ---------
Then, (4.20 + 0.40z) - (6.30 + 0.15z) = 0.40
⟹ 0.25z = 0.40 + 2.10
⟹ z = | 2.50 | = | 250 | = 10. |
0.25 | 25 |
∴ X will cost 40 paise more than Y 10 years after 2001 i.e., 2011.
4.2 x 4.2 - 1.9 x 1.9 | is equal to: |
2.3 x 6.1 |
Given Expression = | (a2 - b2) | = | (a2 - b2) | = 1. |
(a + b)(a - b) | (a2 - b2) |
The value of | 0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02 | is: |
0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04 |
Given expression = | (0.1)3 + (0.02)3 | = | 1 | = 0.125 |
23 [(0.1)3 + (0.02)3] | 8 |
The fraction 101 | 27 | in decimal for is: |
100000 |
101 | 27 | = 101 + | 27 | = 101 + .00027 = 101.00027 |
100000 | 100000 |
(.000216)1/3 | = | ❨ | 216 | ❩ | 1/3 |
106 |
= | ❨ | 6 x 6 x 6 | ❩ | 1/3 |
102 x 102 x 102 |
= | 6 |
102 |
= | 6 |
100 |
= 0.06
∴ Number of members = √5929 = 77.
If x = | √3 + 1 | and y = | √3 - 1 | , then the value of (x2 + y2) is: |
√3 - 1 | √3 + 1 |
x = | (√3 + 1) | x | (√3 + 1) | = | (√3 + 1)2 | = | 3 + 1 + 2√3 | = 2 + √3. |
(√3 - 1) | (√3 + 1) | (3 - 1) | 2 |
y = | (√3 - 1) | x | (√3 - 1) | = | (√3 - 1)2 | = | 3 + 1 - 2√3 | = 2 - √3. |
(√3 + 1) | (√3 - 1) | (3 - 1) | 2 |
∴ x2 + y2 = (2 + √3)2 + (2 - √3)2
= 2(4 + 3)
= 14
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