Framing Of Equations
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Avg score: 23% Most missed: “(x3-6x2+px+q) is exactly divisible by (x2-3x+2) then,”
Framing Of Equations
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25 Questions

1. Last year Sunil's age was square of number and next year it will be cube of a number. After how many years his age is again a cube of a number?
2. In a group, each person has at most two cadbury. No person has less than three Kitkat. Considering all the persons in the group there are more cadbury than Munch, more Munch than kitkat and more kitkat than persons. Find the minimum number of persons in the groups?
3. The age of Suraj in 2002 was 1/90th of his birth year. What is his age in 2016?
4. What number should be subtracted from x3+4x2 - 7x+12, if it is to be perfectly divisible by x+3?
5. Bikram had a certain number of Rs 1 coins, Rs 2 coins and Rs 10 coins. If the number of Rs 1 coins he had is six times the number of Rs 2 coins Bikram had, and the total worth of his coins is Rs 160, find the maximum number of Rs 10 coins Bikram could have had.
6. In a cricket match, India scored 232 runs without losing any wicket. The runs scored by byes, wides and by two batsmen, Rahul and Sumant. The runs scored by the two batsmen are 26 times wides. There are 8 more byes than wides. If the ratio of the runs scored by Rahul and Sukant is 6:7, then the total runs scored by batsman is:
7. Uttam buys 18 passes for Rs 110. Each V.I.P pass costs Rs 10 and each general pass costs Rs 3. What will be the cost of another lot of 18 passes in which the numbers of V.I.P pass and general passes are interchanged?
8. Agniwesh has a certain amount of money in only Rs. 1 and Rs 10 notes. The number of Rs. 1 notes multiplied by the number of Rs 10 notes is equal to the total money (in Rs) that he has. The number of Rs 10 notes is less than ten. Which of the following is a possible figure for the total number of notes he can have?
9. In a green view apartment, the houses of a row are numbered consecutively from 1 to 49. Assuming that there is a value of x such that the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it. Then, what will be the value of x?
10. Sudip has Rs 29 in 5-rupee and 2-rupee denominations. The number of 5-rupee notes in one-half of one less than the number of 2-rupee notes. How many 5-rupee notes and 2-rupee notes does Sudip have respectively?
11. In an objective examination of 90 questions, 5 marks are allotted for every correct answer and 2 marks are deducted for every wrong answer. After attempting all the 90 questions Sumit got a total of 387 marks. Find the number of questions that he attempted wrong.
12. A group of 630 students of Gyan Bharati school is arranged in rows for PT session. Each row contains three fewer students than the row in front of it. Which of the following number of rows is not possible?
13. Abhilash purchased 40 chocolates; dairy milk and kitkat for Rs 17. Had he purchased as many as kitkat as dairy milk and as many dairy milk as kitkat, he would have paid Rs 15. Find the cost of a dairymilk and a kitkat together.
14. Security guards of a company are made to stand in rows. If 4 Security guards are extra in each row, there would be 2 rows less. If 4 Security guards are less in each row, there would be 4 more rows. The number of Security guards in the company is:
15. Santosh was asked to divide a number by 6 and add 12 to the quotient. He, however first added 12 to the number and then divided it by 6, getting 112 as the answer. The correct answer should have been:
16. Vikrant purchased 21 apple and 29 banana for Rs 79. But if he interchanged the number of apple and banana, the cost reduced by Rs 8. Find the cost of each banana.
17. A Bakery produced a certain number of biscuits flavouring pineapple, mango and black-forest, charging for each biscuits as many rupees as there were biscuits of that kind; altogether they produced 23 biscuits and charged Rs 211; find the number of each kind of biscuits that they produced, if mango biscuits are cheaper than pineapple biscuits and dearer than black-forest biscuits.
18. Sum of digits of a two digit number is 10. If digits are interchanged, obtained number is 54 less than original number. What is the number?
19. In a certain game, each participants scores either 2 points or 5 points. If n participants score 2 points and m participants score 5 points and the total number of points scored is 50, what is the least possible positive difference between n and m?
20. In a Call centre, number of bonus point is related to working hour by linear equation. One day there were 1000 working hours and 8 bonus points and on another day there were 400 working hours and 5 bonus points. What is the expected number of bonus points when there were no working hours.
21. F(x) is a fourth order polynomial with integral coefficients and with no common factor. The roots of F(x) are '2, '1, 1, 2. If p is a prime number greater than 97, then the largest integer that divides F(p) for all values of p is
22. The difference between a number and 2/5th th of the number is 30. The number is 5
23. (x3-6x2+px+q) is exactly divisible by (x2-3x+2) then,
24. Suman purchased two kitkat, 3 dairy milk and 5 munch and paid Rs 40. If Suman had purchased 3 kitkat, 5 dairy milk and 9 munch, he would have to pay Rs 64. Tripti demanded only 1 kitkat, 1 dairy milk and 1 munch. If Suman purchased only what was demanded by Tripti, then what amount would have been required?
25. Sukant has 1044 candles. After burning, he can make a new candle from 9 stubs left behind. Find the maximum number of candles that can be made.