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SBI PO & Clerk : Quadratic & Arithmetic Quiz :10.05.2019

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Question 1

Direction: In the following question two equations are given in variables X and Y. You have to solve these equations and determine the relation between X and Y.
I. 25x2 + 35x + 12 = 0
II. 6y2 + 5y + 1 = 0

Question 2

Direction: In the following question, there are two equations. Solve the equations and answer accordingly.
x2 – 19x + 88 = 0
y2 – 25y + 156 = 0

Question 3

Direction: In the following question, there are two equations. Solve the equations and answer accordingly.
I. x2 – 7x + 12 = 0
II. y2 – 11y + 30 = 0

Question 4

Direction: In the following question, there are two equations. Solve the equations and answer accordingly.
I. X2 – 200X + 6400 = 0
II. Y2 – 200Y + 8400 = 0

Question 5

Direction: In the following question, there are two equations. Solve the equations and answer accordingly.
I. 5X2 + 15X + 50/4 = 5/4
II. 12Y2 + 18Y = 0

Question 6

A water tank has a leak which would empty it in 6 hours when no tap is opened. A tap is turned on which fills the water tank at 10 litres per hour if there is no leak. What is the capacity of the tank if it takes 15 hours in emptying the full tank when both tap & leak are opened together?

Question 7

A number is divided successively by 5, 9 and 13 and the remainders were 4, 8 and 12 respectively. If the number had been divided by 585, what would have been the remainder?

Question 8

Three wheels can complete 60, 36 and 24 revolutions per minute. There is a red spot on each wheel that touches the ground at time zero. After how much time, all these spots will simultaneously touch the ground again?

Question 9

There are 2 Cans containing a mixture of wine, water and coke. The first Can contains wine, water and coke in the ratio 3 : 5 : 2. The second Can contains water and wine in the ratio 5 : 4. 1litre of the first and 2 litres of the second are mixed together. What fraction of the mixture is coke?

Question 10

Aditya interchanged positions of the digits of a two-digit number, the number obtained is smaller than the original number by 27. If the digits of the number are in the ratio of 2 : 4, what is the original number?
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