Question
There were two candidates in an election. 10% of the
total voters did not cast their votes whereas 5% of the casting votes were declared invalid. If the winning candidate received 50% of the total votes and won by 7250 votes then find out the total number of Voters?Solution
Let the total voters be 100 No. of votes cast (90%) = 90 No. of valid votes = 90 × (95 )/(100 ) = 85.5 Winning candidate got 50% of total votes = 50 Looser candidate got = 85.5 – 50 = 35.5 Difference between winning and looser candidate votes = 7,250 50 – 35.5 = 14.5 14.5 = 7,250 100 = (7,250 )/(14.5 )×100  = 50,000  Total number of votes = 50,000Â
Find the value of 3/4 cot² 30° + cos² 30°-3cosec²60° + tan² 60°.
If (m + n) = 9 and mn = 14, then find the value of (m² + n²).
If A = (7)1/3 + (7) -1/3, then the value of {3A3 – 9A} will be:
If, p³ + q³= 485 and (p + q = 5), then find the value of [(1/p) + (1/q)]
 `sqrt(sqrt(20+sqrt(20+sqrt(20)) ... prop)`  = ?
If {1/(y + 1) + 1/(y + 5)} = {1/(y + 2) + 1/(y + 4)}. Find the value of yÂ
x + y = 4, xy = 2, y + z = 5, yz = 3, z + x = 6 and xz =4, then find the value of x 3  + y 3  + z 3  – 3xyz.
...If (5x + 2)3 + (x – 1)3 + 8(3x – 7)3 = 6(5x + 2) × (x – 1) × (3x – 7), then the value of (5x + 3) isÂ
...105, 111, 123, 141, ?, 195
- If (r + s) = 7 and rs = 15, then find the value of (r² + s²).
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