Question
A and B can complete a piece of work in 15 days, B and C
in 30 days and C and A in 45 days. In how many days will they complete the work if they start working together?Solution
Let the work rates of A, B, and C be A, B, and C respectively. A + B = 1/15 B + C = 1/30 C + A = 1/45 Adding these three equations: (A + B) + (B + C) + (C + A) = 1/15 + 1/30 + 1/45 ⇒ 2A + 2B + 2C = 1/15 + 1/30 + 1/45 ⇒ 2(A + B + C) = (6 + 3 + 2) / 90 ⇒ 2(A + B + C) = 11 / 90 ⇒ A + B + C = 11 / 180 Time taken when A, B, and C work together = 1 / (A + B + C) ⇒ Time = 1 / (11 / 180) ⇒ Time = 180 / 11 ⇒ Time = 16 (4/11) days
7, 9, 21, ?, 107, 197
What will come in place of the question mark (?) in the following series?
112, 124, 138, 154, ?, 196
9 28 83 250 ? 2248
18Â Â Â 19Â Â Â 34Â Â Â 111Â Â Â Â 428Â Â Â Â 2165Â Â Â Â ?
...What will come in place of the question mark (?) in the following series?
17, 138, 307, 532, ?, 1182
5Â Â Â Â 12Â Â Â Â 26Â Â Â Â 47Â Â Â Â Â ? Â Â Â Â Â Â 110
...What will come in place of the question mark (?) in the following series?
144, ?, 154, 114, 194, 34
- What will come in place of (?) in the given number series.
7, 14, 28, 56, ?, 224 4, 9, 25, ?, 121, 169
What will come in place of the question mark (?) in the following series?
?, 65, 37, 73, 29, 81