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Quiz - Quadratic Equation & Caselet DI - 31 August 2021

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Question 1

Direction: In the following questions two equations numbered I and II are given. Solve the equations and choose the correct answer.
 
I. 49x2 – 7x – 12 = 0
II. 14y2 – 9y – 45 = 0

Question 2

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+ 2x – 1 = 0
II. 2y2 + 7y + 6 = 0

Question 3

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.
3x2 + 4x – 15 =0
12y2 – 24y – 15=0

Question 4

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. 3x2 + 25 x + 52 = 0,

II. 15y2 – 38y – 40 = 0

Question 5

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.

II.

Question 6

Direction: Answer the questions based on the information given below.

Mahesh sells six different kinds of toys A, B, C, D, E and F. The marked price of toy A is Rs. 100 and marked price of toy B is Rs. 200, toy A is sold for x% profit and toy B is sold for (x + 10)% profit, the value of x is [A] when ratio of cost between A and B is and 16% discount on toy A and 48% discount on B is offered. Difference between the selling price of toy C and toy D is Rs. 2000  and sum of marked price of toy C and D is Rs. 14000, Mahesh offers 25% discount on toy C and 2.5x% discounts on toy D when marked price of toy C is [B]. The selling price of E is [C] which is thrice the average SP of toy A, B and C. Toy F is a special type of toy in a sense, in market the selling price depends upon number of toys one seller sells. The first toy sold for Rs. 100, second sold for Rs. 200 and like this third sold for Rs. 300 and so on. The cost price of the toy F is Rs. 50 and Mahesh sold [D] number of F toys in the market when he earns a total profit of 400%. The selling price of toy D is [E] percentage more than toy A .

Find the value at place A .

Question 7

Direction: Answer the questions based on the information given below.

Mahesh sells six different kinds of toys A, B, C, D, E and F. The marked price of toy A is Rs. 100 and marked price of toy B is Rs. 200, toy A is sold for x% profit and toy B is sold for (x + 10)% profit, the value of x is [A] when ratio of cost between A and B is and 16% discount on toy A and 48% discount on B is offered. Difference between the selling price of toy C and toy D is Rs. 2000  and sum of marked price of toy C and D is Rs. 14000, Mahesh offers 25% discount on toy C and 2.5x% discounts on toy D when marked price of toy C is [B]. The selling price of E is [C] which is thrice the average SP of toy A, B and C. Toy F is a special type of toy in a sense, in market the selling price depends upon number of toys one seller sells. The first toy sold for Rs. 100, second sold for Rs. 200 and like this third sold for Rs. 300 and so on. The cost price of the toy F is Rs. 50 and Mahesh sold [D] number of F toys in the market when he earns a total profit of 400%. The selling price of toy D is [E] percentage more than toy A .

Find the value at place B.

Question 8

Direction: Answer the questions based on the information given below.

Mahesh sells six different kinds of toys A, B, C, D, E and F. The marked price of toy A is Rs. 100 and marked price of toy B is Rs. 200, toy A is sold for x% profit and toy B is sold for (x + 10)% profit, the value of x is [A] when ratio of cost between A and B is and 16% discount on toy A and 48% discount on B is offered. Difference between the selling price of toy C and toy D is Rs. 2000  and sum of marked price of toy C and D is Rs. 14000, Mahesh offers 25% discount on toy C and 2.5x% discounts on toy D when marked price of toy C is [B]. The selling price of E is [C] which is thrice the average SP of toy A, B and C. Toy F is a special type of toy in a sense, in market the selling price depends upon number of toys one seller sells. The first toy sold for Rs. 100, second sold for Rs. 200 and like this third sold for Rs. 300 and so on. The cost price of the toy F is Rs. 50 and Mahesh sold [D] number of F toys in the market when he earns a total profit of 400%. The selling price of toy D is [E] percentage more than toy A .

Find the value at place C.

Question 9

Direction: Answer the questions based on the information given below.

Mahesh sells six different kinds of toys A, B, C, D, E and F. The marked price of toy A is Rs. 100 and marked price of toy B is Rs. 200, toy A is sold for x% profit and toy B is sold for (x + 10)% profit, the value of x is [A] when ratio of cost between A and B is and 16% discount on toy A and 48% discount on B is offered. Difference between the selling price of toy C and toy D is Rs. 2000  and sum of marked price of toy C and D is Rs. 14000, Mahesh offers 25% discount on toy C and 2.5x% discounts on toy D when marked price of toy C is [B]. The selling price of E is [C] which is thrice the average SP of toy A, B and C. Toy F is a special type of toy in a sense, in market the selling price depends upon number of toys one seller sells. The first toy sold for Rs. 100, second sold for Rs. 200 and like this third sold for Rs. 300 and so on. The cost price of the toy F is Rs. 50 and Mahesh sold [D] number of F toys in the market when he earns a total profit of 400%. The selling price of toy D is [E] percentage more than toy A .

Find the value at place D.

Question 10

Direction: Answer the questions based on the information given below.

Mahesh sells six different kinds of toys A, B, C, D, E and F. The marked price of toy A is Rs. 100 and marked price of toy B is Rs. 200, toy A is sold for x% profit and toy B is sold for (x + 10)% profit, the value of x is [A] when ratio of cost between A and B is and 16% discount on toy A and 48% discount on B is offered. Difference between the selling price of toy C and toy D is Rs. 2000  and sum of marked price of toy C and D is Rs. 14000, Mahesh offers 25% discount on toy C and 2.5x% discounts on toy D when marked price of toy C is [B]. The selling price of E is [C] which is thrice the average SP of toy A, B and C. Toy F is a special type of toy in a sense, in market the selling price depends upon number of toys one seller sells. The first toy sold for Rs. 100, second sold for Rs. 200 and like this third sold for Rs. 300 and so on. The cost price of the toy F is Rs. 50 and Mahesh sold [D] number of F toys in the market when he earns a total profit of 400%. The selling price of toy D is [E] percentage more than toy A .

Find the value at place E(approx.).
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