INTREST
a) 5% b) 10% c) 15% d) 20%
2) Intrest on Rs a at the simple interest 10% per annum for b months is:
a) Rs ab/100 b) Rs ab/120 c) Rs ab/1200 d) Rs ab/10
3) If the ratio of principal and yearly amount be in the ratio 25:28, then the yearly rate of interest is
a) 3% b) 12% c) 75/7% d) 8%
4) If the total intrest becomes Rs x for any principal having the rate of simple interest of x% per annum for x years then the principal will be
a) Rs x b) Rs 100x c) Rs 100/x d) Rs 100/x²
5) The total interest of a principal in n years, at the rate of simple interest of r% per annum is pnr/25, The principal will be
a) Rs 2p b) Rs 4p c) Rs p/2 d) none
6) If the intrest on Rs p at the rate of simple interest of r% per annum in t years is I, then
a) I= prt b) prt I= 100 x I c) prt= 100 x I d) none
7) A principal becomes twice of its amount in 20 years at a certain rate of simple interest. At that same rate of simple interest, that principal becomes thrice of its amount in
a) 30 years b) 35 years c) 40 years d) 45 years
8) A sum of Rs 400 amounts to Rs 480 in 4 years. What will it amount to if the rate of interest is increased by 2%?
a) Rs 484 b) Rs 560 c) Rs 512 d) none
9) At what rate of percent per annum will Rs 2304 amount to Rs 2500 in 2 years at compound interest?
a) 9/2% b) 21/5% c) 25/6% d) 13/3%
10) An amount doubles itself in 5 years with simple interest. What is the amount of intrest percent per annum?
a) 10% b) 20% c) 25% d) 30%
11) A person deposited Rs 100 in a bank and got the amount Rs 121 for two years. The rate of compound interest is
a) 10% b) 20% c) 5% d) 21/2%
12) In case of compound interest, the rate of compound interest per annum is -
a) equal b) unequal c) both equal or unequal d) none
13) In case of compound interest
a) The principal remains unchanged each year
b) Principal changes in each year
c) Principal may be equal or unequal in each year
d) none
1b 2b 3b 4c 5b 6c 7c 8c 9c 10b 11a 12c 13b
1) A person deposited Rs 100 in a bank and gets the amount Rs 121 after two years. The rate of compound interest is ___%.
2) If the simple interest of a principal for n years at r% per annum be Rs (pnr)/25, then the principle will be Rs ____
3) At same rate samet percent per annum, the simple interest and compound interest of same principal are same in ____year.
4) A person depreciated certain rate over time its called ____.
5) Amount of Rs 2P per t year at the rate of simple interest r/2% per annum (2P + ____) Rs.
6) If the ratio principal and amount for 1 year is 8:9, then the rate of the simple interest per annum is ____.
7) Fixed amount rupees fixed annual interest rate 1 year compound interest rate and simple interest rate ____.
8) With the passage of time, someone grows at a certain rate, it is called ___.
1) 10% 2) 4p 3) one 4) homogeneous depreciation 5) Rs (Prt)/100 6) 25/2% 7) equals 8) Identical
1) The amount of Rs 2p in t years at the rate of simple interest of r/2% per annum is Rs (2p + prt/100).
2) The difference between the simple interest and the compound interest of Rs 100 in 1 year at the rate of 10% p.a is Rs 1.
3) At same rate of interest the simple interest for 2 years is more than the compound interest on the same principle.
4) The present value of an article is Rs 100. The value of the article depreciates by 10% per annum. After 29 years the cost of the article be Rs 81.
5) The present price of an article is Rs x. The rate of increase in price per year is y%. After z years the cost of the article will be Rs (1+ y/100)².
6) Since the rate of interest on the specified principal remains the same, the simple interest for 2 years will be higher than the compound interest.
7) When time and rate of interest are equal, total interest is proportional to principal.
8) If the principal and the rate of the simple interest per annum are the same, the total interest is inversely related to time.
9) Any principal amount will double in 20 years at the rate of 5% simple interest per annum.
10) The compound interest on a principal at the same rate of interest per annum for the same period of time will be less than the simple interest.
11) In the compoun intrest, the interest is the sum of the principal amount over a specified period of time. For this reason the amount of principal keeps on increasing gradually.
1) t 2) f 3) f 4) t 5) t 6) f 7) t 8) f 9) t 10) f 11) t
2 MARKS
1) If the ratio of a principal and its compound for 5 years is 5:6, decide the annual simple rate of interest.
2) What will be the monthly interest of Rs 1 at the rate of 5% simple interest per annum.
3) The rate of simple interest per r reduces from 4% to 15/4% and for this, a person's annual income decreases by Rs 60. Determine the principal of that person .
4) A sum of money is doubled in 8 years at r% rate of compound interest per annum. At the same rate in how many years it will be four times of the Sum ?
5) Calculate Whats sum of money will amount to Rs 3528 after 2 years at the rate of 5% compound interest per annum.
6) For how many years will the principal amount double at the rate of 25/4% simple interest per annum.
7) At what rate of annual simple interest is the interest of a principal 8/25 part of the principle amount in 4 years ?
8) What is the rate of simple interest per annum, the interest of 2/5 a rupee for 10 years will be part of the compound ?
9) If the compounded compound interest of Rs 400 for 2 years is Rs 441, then what is the compound interest rate per annum ?
10) 5% compound interest of a few rupees in 2 years at the rate of compound interest per annum is Rs 615, then find the principal.
11) What is the rate of simple interest per annum, when the interest on some money in 10 years will be 2/5 parts of its amount (principle along with interest).
12) if the rate of compound interest for the first and second year are 5% and 6% respectively, let us calculate the compound interest on Rs 5000 for 2 years.
1) 4% 2) Rs240 3) Rs 24000 4) 16 5) Rs 3200 6) 16 year 7) 8 8) 20/3% 9) 5% 10) Rs6000 11) 20/3% 12) Rs 565
5 MARKS
1) The price of a machine in a factory of your uncle depreciates at the rate of 10% every year. If its present price is Rs 6000 then what will be its price after 3 years ?
2) If interest is compounded half yearly what will be the compound interest and amount on Rs 8000 at the rate of 10% compound interest per annum for 3/2 years ?
3) Khawaish has taken a loan of rse64000 from a bank, if the rate of interest be 2.5 paise per annum, calculate the compound interest payable after 2 years.
4) The difference between simple interest and compound interest for 2 years of a sum of money becomes Rs 80 at 4% interest per annum. Calculate the sum of money.
5) As a result of Sarba Siksha Abhiyan, the students leaving the school before completion, the students are readmitted, so the number of students in a year is increased by 5% in comparison to its previous year. If the number of such readmitted students in a district be 3528 in the present year, calculate the number of students readmitted 2 years before in this manner.
6) Calculate in how many years Rs 50000 will amount to Rs 60500 the rate of 10% compound interest per annum .
7) Calculate the compound interest and amount on Rs 1600 for 3/2 years at the rate of 10% compound interest per annum, compounded at an interval of 6 months .
8) At present the sum of the number of the student in Magnus Academy is 3993. if the increase in the number of students in a year was 10% of its previous year, Calculate the sum of the number of Students 3 years before in all in Magnus Academy.
9) Calculate the sum of the money, if the difference between compound interest and simple interest for 2 years at the rate of 9% interest per annum is Rs 129.60.
10) As a result publicity on smoking, the number of smokers is decreased by 25/4% every year in comparison to its previous year. If the number of smokers at present in a city is 33750, calculate the number of smokers in that city 3 years before.
11) A bank gives 5% simple interest per annum, In that Bank Archana deposits Rs 15000 at the beginning of the year, but withdraws Rs 3000 after 3 months and then again, after 3 months, she deposits Rs 8000. Find the amount (principal along with interest) Archana will get at the end of the year.
12) Kushagra deposity the money for each of his two daughters in such a way that when the ages of each of his daughters will be 18 years, each one will get Rs 120000. The rate of simple interest per annum in the bank is 10% and the present ages of his daughters are 13 years in 8 years respectively. Find the money he had deposited separately in the bank for each of his daughters.
13) if simple interest and compound interest of a certain sum of money for 2 years are Rs 8400 and Rs 8652, then find the sum of money and the rate of the interest.
14) Raju got Rs 10000 when retired from his service. He deposited some of that money in the post office and get Rs 5400 in total per year as interest. If the rate of simple interest per annual in the bank and in the post office at 5% and 6% respectively, then find the money he had deposited in the bank and the post office.
15) Robin Sir takes a loan amount of Rs240000 from a bank for constructing a building at the rate of simple interest of 12% per annum . After 1 year of taking the loan he rents the house at the rate of Rs5200 per month. Determine the number of years he would take to repay his loan along with interest from the income of the house rent.
1) Rs 4374 2) Rs 9261, Rs 1261 3) Rs 3240 4) Rs 50000 5) 3200 6) 2 years 7) Rs 252.20 8) 3000 9) Rs 16000 10) 40960 11) Rs 20837.50 12) 80000, 60000 13) 6%, 70000 14) 60000 in bank, 40000 in P. O 15) 9 years
QUADRATIC EQUATION
1) The product of two roots of the equation x²- 7x +3=0 is
a) 7 b) -7 c) 3 d) -3
2) Under what condition one root of the equation ax²+ bx+ c=0 is zero
a) a= 0 b) b= 0 c) c= 0 d) none
3) 2x²- 3x + k +2 =0 one root of the equation is zero. The product. The value of k is
a) 2 b) -2 c) 1/2 d) -1/2
4) If two roots of equation x² + 4x +k =0 are equal, then the value of k is
a) 1 b) 2 c) 3 d) 4
5) If two roots of equation x² - 6x +k =0 are real and unequal , then the value of k is
a) more than 6 b) less than 9 c) more than 9 d) less than 9
6) The sum of two roots of the equation x² - 6x +2 =0
a) 2 b) -2 c) 6 d) -6
7) If the product of two roots of the equation x² - 3x +k = 10 is -2, what is the value of k?
a) -2 b) -8 c) 8 d) 12
8) If two roots of the equation ax² + bx + c=0 (a≠ 0) be equal, then
a) c= - b/2a b) c= b/2a c) c= - b²/4a d) c= b²/4a
9) The root/s of equation x²/x = 6 is/are
a) 0 b) 6 c) 0 and 6 d) -6
10) If two roots of the equation (k +1)x² + 2kx + (k +2) =0 are equal and negative then value of k is
a) 1 b) -1 c) 0 d) -2
11) If roots of the equation ax² + bx + c=0 (c≠ 0) are real and unequal then b²- 4ac will be
a) > 0 b) =0 c) < 0 d) none
12) The number of roots of quadratic equation is
a) one b) two c) three d) none
13) If ax² + bx + c is a quadratic equation then
a) b≠ 0 b) c≠ 0 c) a ≠ 0 d) none
14) The highest power of the variable of a quadratic equation is
a) 1 b) 2 c) 3 d) none
15) The equation 4(5x² -7x + 2)= 5(4x²- 6x +3) is
a) linear b) quadratic c) 3rd degree d) none
1c 2c 3a 4d 5d 6c 7c 8d 9c 10c 11a 12b 13c 14b 15a
16) The roots of the equation ax² + 2bx + c= 0 (a≠ 0) are real and equal, then b²= ____
17) If the product and sum of two quadratic surds is a rational number, then the surds are ____ surd.
18) The equation (a-2)x²+ 3x +5=0 will not be a quadratic equation for a = ____
19) If in a quadratic equation ax² + bx + c=0 (a≠ 0), b²= 4ac, then the roots of the equation will be real and ____.
20) If the sum and product of two quadratic equation is a fundamental number, then both the conditions are ____.
21) 7x² - 12x + 18=0. The ratio of the sum and the product of the roots of the equations_____.
22) ax² + bx + c= 0 (a≠ 0). If both the roots of the equation are mutually inverse (reciprocal), then c= _____.
23) ax² + bx + c= 0 (a≠ 0) if both the roots of the equation are mutually inverse and negative, then a+ c =____'
16) ac 17) pure 18) 2 19) equal 20) supplement 21) 2:3 22) a 23) 0 24)
24) √π is a quadratic. T/F
25) x² + x + 1= 0 both the roots of the equation are real. T/F
26) x² + x + 2 = 0 both the roots of the equation are not real. T/F
27) x²= 25 the only root of the equation is 5. T/F
28) 3x² - 2 √6x +2=0 both of the equation will be real and equal. T/F
24) f 25) f 26) t 27) f 28) t
29) If the roots of the equation 5x² - 2x + 3 = 0 be a and b, find the value of (1/α + 1/β).
30) If the roots of the equation be 2 and -3, then write the equation.
31) Without solving, find the values of p for which the equation x²+ (p -3)x + p=0 has real and equal roots.
32) If kx²+ 2x + 3k =0 (k≠ 0) the sum and product of the roots of the equation are the same, write the value of k.
33) If x² - 22x + 105 =0 the equation has two roots α and β then determine the value of
(α - β).
29) 2/3 30) x²+ x - 6=0 31) 9,1 32) -2/3 33) ±8
34) Solve: 1/(x -3) - 1/(x +5) = 1/6. 7,-9
35) The product of two consecutive positive odd numbers is 143. Determine the numbers. 11,13
36) Determine the equation whose roots are the square of the roots of the equation x²+ x +1=0.
37) If the price of 1 dozen pens is reduced by Rs 6, then 3 more pens can be bought in Rs 30. Find the price of 1 dozen pens before the reduction of price. Rs 38
38) Solve: {(x+4)/(x -4)}² - 5(x+4)/(x -4)+ 6 =0, x ≠ 4. 8,12
39) The digit in the unit's place of a two digited number is 6 more than that at the ten's place. The product of the digits is 12 less than the number. Find the possible values of the digits in the unit's place. 8 or 9
40) If 5 times of a positive whole number is less by 3 then twice of its square, then find the number. 3
41) solve: 1/x - 1/(x - b) = 1/a - 1/(a + b). a, -(a+ b)
42) Solve: x²- (√3+ 2) x + 2√3=0. √3, 2
43) (x+3)/(x -3) + 6{(x-3)/(x +3)}= 5. 9,6
44) x/(x +1) + (x +1)/x = 25/12, x≠0,-1. 3,-4
45) (2x +1) + 3/(2x +1) = 4. 0,1
46) (x +1)/2 + 2/(x +1) = (x +1)/3 + 3/(x +1) - 5/6. 0,-7
47) {(x+a)/(x -a)}² - 5{(x+a)/(x -a)} + 6 =0, x≠ a. 2a, 3a
48) The tens digit of a two digit number is 3 less than the unit. Substracting their product from the number gives the disjunction 15. Find the unit's digit of the number. 5 or 9
49) There are two in our school's cistern. A cistern is filled in a 1/x minutes by both of drains. The second tap takes 5 minutes longer than the first. In how much time will each tap fill the cistern separately? 20,25 minutes
50) When two digits positive numbers is multiplied by its unit digit, the product is 189. If the tens digit's is twice the unit digr, then what is the unit's digit? 3
51) (b - c)x² + (c - a)x + (a - b)=0 if both the roots of a quadratic equation are equal, show that 2b= a+ c.
52) (a²+ b²)x² - 2(ac+ bd)x + (c²+ d²)=0. If both the roots of equation are equal, then show that a/b = c/d.
53) ax²+ bx + c=0 if one root is twice the other, then show that 2b²= 9ac.
54) There is a square park in our locality. The area of a rectangular Park of length 5m more than the length of one side of this park and 3m less in width is equal to that of a square Park. then find the length of the side of the square Park. 9m
55) Pralay Babu of our village decided to plant 350 red pepper plants in one of his rectangular plots of land . After planting the sapling in rows, he saw that after planting in 24 more rows than the number of saplings planted in each row, 10 saplings were left, Then how many saplings have been planted by them in each row? 10
56) The length of the base of a triangle is 18m more than twice its height. If the area of the triangle is 360 square metres. Find the height ? 15m
57) The distance between two places is 200 km. The time taken by motor car to travel from one place to another is 2 hours less than it takes to travel by jeep. If the speed of the motor car is 5km per hour less than that of the Jeep, then find the speed of the motor car. 20
58) The area of Anita's rectangular land is 2000 square meters and its boundary is 180 meters , then find the length and the breadth of the Anita's rectangular land. 50,40
59) The velocity of a boat in still water is 8 km/hr. A boat takes 5 hours to go 15km downstream and 22km upstream, then what is the velocity of the stream? 8/5
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