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Question 1
Two pipes A and B can fill 20 gallons, 30 gallons of water in one hour respectively. Pipe C can drain ‘x’ gallons water in one hour. If the these three pipes are opened together, the tank gets filled in 15 hours, and when pipe A and B are opened together the tank gets filled in 12 hours. How much gallons of water is drained by pipe C in an hour?
Question 2
A, B and C are three sisters. A and B are twins. The sum of ages of A and B is same as that of C alone. Three years ago, the ratio of the age of A and C was 2 : 7. What will be the age of B, 5 years hence?
Question 3
The strength of a institute increases and decreases every alternate year, It starts with increase by 10% and there-after the percentage of increase/decrease is the same. Which of the following is definitely true about the strength of the institute in 2001 as compared to that in 1996?
Question 4
A is two times more efficient than B. C is two times as efficient as B. A and B work together for 6 days and then they are joined by C. Together they complete the work in 3 more days. Find the number of days in which C can alone finish the work.
Question 5
Average of three consecutive odd number is “X” and average of three consecutive even number if “Y”. If “Y” is 5 less than “X” and sum of the all three even consecutives number is 30 then what is the sum of the smallest odd number and highest odd number?
Question 6
Direction:In the following two equations numbered 1 and 2 are given. You have to solve both the equations and
1) 63x−94√x+35=0
2) 32y−52√y+21=0
2) 32y−52√y+21=0
Question 7
Direction: In the following question, two equations are given in variables X and Y. You have to solve these equations and determine relation between X and Y.
1) 15x2−11x−12=0
2) 20y2−49y+30=0
2) 20y2−49y+30=0
Question 8
Direction: In the following question, two equations are given in variables X and Y. You have to solve these equations and determine relation between X and Y.
I. 2x2 − 13x + 21 = 0
II. 5y2 − 22y + 21 = 0
II. 5y2 − 22y + 21 = 0
Question 9
Direction: In the following question, two equations are given in variables x and y. You have to solve these equations and determine relation between x and y.
I. 3x + 2y − 58 = 0
II. 4x + 4y − 92 = 0
II. 4x + 4y − 92 = 0
Question 10
Direction: In the following question, two equations are given in variables X and Y. You have to solve these equations and determine relation between X and Y.
1) x2−8√3x+45=0
2) y2−√2y-24=0
2) y2−√2y-24=0
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Jul 7PO, Clerk, SO, Insurance