1 . Study the following information carefully to answer the questions given there after. There is a cluster of 3 villages neighbouring City 'XYZ' - village A, village B and village C. The respective ratio between the population of village A, village B and village C is 4 : 3 : 5. Out of the total population of village A, $3 \over 16$ of the total villagershave qualified only upto class X, $7 \over 16$ of the total villagers have qualified only upto XII and the remaining 3000 villagers have qualified only upto Graduation. Out of the total population of village B, $3 \over 10$ of the total villagers have qualified only upto class X, 1 5 of the total villagers have qualified only upto class XII and the remaining villagers have qualified only upto Graduation. Out of the total population of village C, $1 \over 8$ of the total villagers have qualified only upto class X, $5 \over 8$ of the total villagers have quali fied only upto class XII and the remaining villagers have qualified only upto Graduation.
In village C, out of the total number of villagers who have qualified only upto Graduation, 28% have applied for Post-Graduation courses and in villlage B, out of the total number of villagers who have qualified only upto Graduation, 22% have applied for Post-Graduation courses. What is the total number of villagers who have applied for Post-Graduation courses from village B and C together ?
A.  1360
B.  1420
C.  1350
D.  1240
E.  1180
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2 .
The present age of Sneha is $1 \over 8$ of Lara's present age and the respective ratio between the Lara's age four year ago and the Sneha's age after four years is 7 : 2. What will be the Rupali's age after two years, if Rupali's present age is twice Sneha's present age ? (in years)
A.  6
B.  12
C.  10
D.  14
E.  8
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3 .
A, B and C started a business with their investment in the ratio 1 : 3 : 5. After 4 months, A invested the same amount as before and B as well as C with drew half of their investments. What is the ratio of their profits at the end of the year ?
A.  4 : 3 : 5
B.  5 : 6 : 10
C.  6 : 5 : 10
D.  10 : 5 : 6
E.  5 : 4 : 7
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4 .
A tank (of capacity 160 litre) has one inlet, A and one outlet, B. Inlet A, alone can fill the empty tank in 6 hours and outlet B alone can empty the full tank in 24 hours. In how many hours will inlet A fill 16 litre water in the tank when outlet B is also open?
A.  1
B.  $4 \over 5$
C.  1$1 \over 5$
D.  1$1 \over 12$
E.  $1 \over 5$
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5 .
The respective ratio between length and breadth of a rectangle is 8 : 5 and its perimeter is 208 cm. If the side of the square is 40% less than the breadth of the rectangle, what is the perimeter of the square? (in cm)
A.  54
B.  68
C.  88
D.  96
E.  92
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6 .
The respective ratio of cost prices of articles A and B is 7 : 9. Article A was sold at a profit of 40% and article B was sold at a profit of 10%. If the total profit earned after selling both the articles (A and B) is Rs. 148, what is the difference between cost price of articles A and B?
A.  Rs. 120
B.  Rs. 160
C.  Rs. 200
D.  Rs. 80
E.  Rs. 40
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7 .
Two years hence, the respective ratio between A's age at that time and B's age at that time will be 6 : 5. A's age thirteen years ago was half of B's present age. What is A's present age? (in years)
A.  16
B.  40
C.  28
D.  22
E.  34
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8 .
Ranu's monthly salary is$4 \over 5$ thof Ali's monthly salary. Ranu and Ali save $1 \over 4$th and $2 \over 5$th amount from their respective monthly salaries. If the difference between the amount saved by Ranu and that saved by Ali is Rs. 7000, what is Ranu's monthly salary?
A.  Rs. 30000
B.  Rs. 35600
C.  Rs. 35000
D.  Rs. 28000
E.  Rs. 21000
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9 .
The average score of 29 students of a class in a History test is 68 (out of 120). After removing the top 3 scores, the average score drops by 2.5. If the second highest score is less than 85 and the second highest and the third highest scores are not the same, the highest score should be at least what value ? (Consider all scores are integers)
A.  96
B.  98
C.  106
D.  108
E.  102
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10 .
18 men can complete a piece of work in 24 days and 12 women can complete the same piece of work in 32 days. 18 men start working and after a few days, 4 men leave the job and 8 women join. If the remaining work is completed in 15$15 \over 23$ days after how many days did the four men leave ?
A.  8
B.  5
C.  6
D.  4
E.  2
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