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# Placement Questions & Answers :: Accenture

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Not Attempted

61. find the numbers between 100 to 400 which is divisible by either 2,3,5,7..

Explanation:

LCM of 2,3,5,7=210

Tags: Accenture

ShortCut
Not Attempted

62. In a mixture of petrol and kerosene, petrol is only 99 litres. If this same quantity of petrol would be presented in another mixture of petrol and kerosene where total volume would be 198 litres less than the actual mixture then the concentration of petrol In the present mixture would have been 13.33% point less than that. What is the concentration of petrol in actual mixture?

Explanation:

Lets assume amount of petrol = x
So, (x*100)/198=13.33
x=26.3934
Now same amount of petrol is in 99 liters also.
so the percentage in actual mixture is
(26.3934*100)/99 =26.66%

ShortCut By :: RAKESH RAWAT

Ans=20%
(99/(t-198))*100 - (99/t)*100= 13.33
on solving t=495
so in actual mixture, conc of petrol= 99/495*100= 20%

Tags: Accenture

Not Attempted

63. 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?

Explanation:

Given 70% of 0.9x is 900 more than 30% of 0.9x,
=> 0.9*0.7-900=0.3*0.9x
=> x=2500

Tags: Accenture

Not Attempted

64. log base 12 144p=3 then p= ?

Explanation:

log base 12 144p=3
=> 144p=12^3
=> 144p=12^2 *12
=> 144p=144*12
=> p=12

Tags: Accenture

Not Attempted

65. 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.

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

Tags: Accenture

Not Attempted

66. 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.

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.

Tags: Accenture

Not Attempted

67. 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

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.

Tags: Accenture

Not Attempted

68. 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?

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

Tags: Accenture

Not Attempted

69. 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 ?

Explanation:

If we choose 1st road, To come back we have 5 ways..
so total ways = 5+5+5+5+5 = 25 ways

Tags: Accenture

Not Attempted

70. Which of the following values of 'n' satisfies the in-equality n2 - 24n + 143 < 0?