61. In a election between two candidate 10% of votes were invalid winner got 70% of valid votes and was elected by a majority of 900 votes. find the total number of votes?
Answer: 2500
Explanation:Lets assume votes = x
valid votes are 0.9x,
Given 70% of 0.9x is 900 more than 30% of 0.9x,
=> 0.9*0.7-900=0.3*0.9x
=> x=2500
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Accenture
62. log base 12 144p=3 then p= ?
Answer: 12
Explanation:log base 12 144p=3
=> 144p=12^3
=> 144p=12^2 *12
=> 144p=144*12
=> p=12
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63. 3 men and 8 women complete a task in same time as 6 men and 2 women do. How much fraction of work will be finished in same time if 4 men and 5 women will do that task.
Answer: 13/14
Explanation:3M + 8W = 6M + 2W ---------(1)
solving this we get
M = 2W
Therefore 3M + 8W = 14W
4M + 5W =13W
=>fraction of work is 13/14
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64. The sum of ages of suresh and his father is 78 years.6 years hence father's age will be twice of suresh's age. Find present age of father.
Answer: 54 years
Explanation:Lets assume suresh age = x years.
So, father age = (78-x) years.
Condition : 6 years hence
2* (x + 6) = (78 - x + 6)
=> 2x + 12 = 84 - x
=> 3x = 72
x = 24 years.
Father age = 78 - 24 = 54 years.
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65. In this question A^B means A raised to the power of B Start with the integers from 1 to 10^2012. Replace each of them by the sum of its digits to get a string of 10^2012 numbers. Keep doing this until you get 10^2012 single digit numbers. Let m be the number of 1's and n be the number of 2's. Then m - n
Answer: 1
Explanation:We divide all the numbers into groups of 9. (1 to 9), (10 to 18).....
Now when we divide each term in the first group by 9, we get 1, 2, 3 ..0 as remainders. Now digit sum is nothing but finding remainder when a number is divided by 9. So the last term, 10^2012 gives remainder 1 when divided by 9. So there is one "1" extra than 2's.
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66. Two trains A and B start simultaneously from stations X and Y towards each other respectively. After meeting at a point between X and Y,train A reaches station Y in 9 hours and train B reaches station X in 4 hours from the time they have met each other. If the speed of trainA is 36 km/hr, what is the speed of train B?
Answer: 54 km/hr
Explanation:Naming the trains as A and B. Then,
(A's speed) : (B's speed) = (b : a)^.5
where b and a is the time taken by trains B and A, to reach their destination after they meet.
hence,
36/B's speed = (4: 9)^.5
=> B's speed = 54km/hr
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Accenture
67. Five different roads join a village to nearby city. The no. of different ways in which a person can go to town and come back is ?
Answer: 25 ways
Explanation:If we choose 1st road, To come back we have 5 ways..
similarly for 2nd,3rd,4th,5th road.
so total ways = 5+5+5+5+5 = 25 ways
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Accenture
68. Which of the following values of 'n' satisfies the in-equality n2 - 24n + 143 < 0?
Answer: 11 < n < 13
Explanation:n^2 - 24n + 143 < 0
=> (n-11)(n-13) < 0
=> 11 < n < 13
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Accenture
69. A car starts from rest and accelerates uniform upto speed 90 km/hrs in 5 sec. Total distance covered by car in this time will be
Answer: 62.5 m
Explanation:Speed of car at last instant of given interval
= 90*5/ 18 m/s = 25 m/s
so average speed = 0+25 / 2
Therefore distance = 5 * 25/2 = 125/2 = 62.5 m
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70. In a bid two firms A and B competing against each other.If the probability of bid amount quoted by B being lower than that of A is 0.8 and if it is known that the bid is won by the ones who quotes the lowest price,what is the probability that A wins the bid?
Answer: 0.2
Explanation:Probability of 'a' biding lower than 'b' = 1 - 0.8 = 0.2
so probability of wining of 'a' = 0.2
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