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Question 1
Directions: In the following question two equations numbered I and II are given. You have to solve both the equations and answer the question.
I. (17)2 + 114 ÷ 18 = x
II. (26)2 – 18 × 21= y
II. (26)2 – 18 × 21= y
Question 2
Direction: In the following question, there are two equations. Solve the equations and answer accordingly:
I. 16x = 352 +112
II. y= 114 - 86
II. y= 114 - 86
Question 3
Direction: In the following question, there are two equations. Solve the equations and answer accordingly:
I. 1728 = x3
II. y2 = 144
II. y2 = 144
Question 4
Direction: In the following question two equations numbered I and II are given. You have to solve both the equations and give answers.
I. 5x2 + 28x = −15
II. 3y2 + 11y + 6 = 0
II. 3y2 + 11y + 6 = 0
Question 5
Direction: In the following question two equations are given in variables Xand Y. You have to solve these equations and determine relation between X and Y.
I. 
= x
II.
= y2
= x II.
= y2 Question 6
A three digit number is such that the sum of its digits is 10. The sum of unit place digit and hundredth place digit is equal to the tenth place digit. If digits have been reversed (unit place to hundredth place & hundredth place to unit place) then the number increases by 99. What was the original number?
Question 7
Rohit has some 50 paise coins, some Rs. 2 coins, some Rs. 1 coins and some Rs. 5 coins. The value of all the coins is Rs. 50. Number of Rs. 2 coins is 5 more than the Rs. 5 coins. 50 paise coins are double in number than Rs. 1 coin. Value of 50 paise coins and Rs. 1 coins is Rs. 26. How many Rs. 2 coins does he have?
Question 8
Two pipes can fill a cistern in 14 hr and 16 hr respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom, 32 mins extra are taken for the cistern to be filled up. If the cistern is full, in what time would the leak empty it?
Question 9
Class XII of a school has four students - A, B, C and D. The average weights of the students A, B, C together and A, C, D together is 45 kg and 55 kg respectively, while the average weight the students A, B, D together and B, C, D together is 50 kg and 60 kg respectively. Find the average weight of all the four students together.
Question 10
A corrupt rice vendor uses a weight of 1200 grams instead of 1 kg while buying rice, and uses a weight of 900 grams instead of 1 kg while selling it. He also adds 5 kg of white stones per 100 kg of rice to get more money. If he gives a discount of 10% to his customers on cost price then how much profit does he make?
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Mar 5PO, Clerk, SO, Insurance
