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What should come in place of question mark (?) in the following number series?
11, 12, 16, 25, 41, ?
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789, 780, 762, ?, 699, 654
15, ?, 270, 945, 2835, 7087.5
5, 9, 18, ?, 59, 95, 144
4, 5, ?, 40, 104, 229, 445
Directions For Questions
DIRECTIONS: The following graph shows the election analysis over the years.
...view full instructions
If population in 1977 was 800 million, how many million votes did party X get?
Number of people eligible to votes
= (0.60 × 800 =) 480 million
Voter turnout (0.55 × 480) = 264 million
Votes polled for party X
= (0.5 × 264) = 132 million
Between 1984 and 1989 the number of people eligible to vote increased by 20%. Find the percentage increase in the population.
Let the population in 1984 and 1989 be P1 and P2 respectively.
Number of people eligible to vote in 1984
= 0.78 P1
Number of people eligible to vote in 1989
=0.80 P2
In 1967 if another 5% of the population had been eligible to vote, 2.50 million more votes would have been cast, assuming the same voter turnout. How many million votes were caste in 1967?
Let the population in -1967 be P.
Now, from the question, (0.80 x 0.50 - 0.75 x 0.50) P = 2.50
or, P = 2.50/0.025 = 100 million
Number of votes cast in 1967
= 0.75 x 0.50 x 100 = 37.50 million
If population in 1962 was 500 million, how many million votes did party X not get?
Number of people eligible to vote
= (0.70 × 500) 350 million
Voter turnout = (0.60 × 350) = 210 million
∴ votes not polled for party X
= (100 - 45)% of 210 = 55% of 210
= 115.50 million
If the voter turnout in 1989 and votes polled for party X in 1980 were the same, then find the ratio of the population in 1980 to that in 1989.
Let the population in 1980 and 1989 be P1 and P2 respectively.
Number of votes polled for party X in 1980
= P1 × 0.75 × 0.40 × 0.60
Voter turnout in 1989 P2 × 0.80 × 0.30
Now, P1 × 0.75 × 0.40 × 0,60 = P2 × 0.80 × 0.30
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