SOLUTION: 13). A purse contains one rupee.50 paise and 25paise coins in the
ratio 2:3:4.If the total value of the coins is Rs 90,find the number
coins in each de
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Question 200913: 13). A purse contains one rupee.50 paise and 25paise coins in the
ratio 2:3:4.If the total value of the coins is Rs 90,find the number
coins in each denominations.
14). The digit at tens place of a two digit number is four times the
digit at unit place.If the sum of this number and the number
formed by reversing the digits is 55.Find the number.
*15).Three prizes are to be given in a quiz contest.The value of the
second prize is three fourth of the value of the first prize and
four third of the third prize.If the total value of the three prizes
is Rs 222.Find the prize value of each prize.
16).The numerator of a fraction is 5 less than the denominator.If 3
is added to both the numerator and the denominator,the new
fraction is 2/3.Find the fraction.
* 17).A man is 40 years old and his son is 12 years old.
(i) How many years ago was the mans age eight times the age
of his son?
(ii) How many years hence will the age of the man be three
times the age of his son?
18) . The perimeter of a triangle measures 49cm.The one side is
7cm longer than the other and 5cm shorter than the third .
Find the length of each side
*19). A field can be ploughed in 14 days.If 20 hectares of land is
ploughed more daily,the work will be finished in 10 days.Find
the area of the land which can be ploughed daily.Also find the
area of the field.
1). Find the value of 2x3- 3x2 + x 1 if x = -2.
2). If x= 1,y= 2, z= -1,find the value of each of the following
expressions.
2xy4 15x2y + z (ii) x3 + y3+ z3 3xyz
(iii)x3 y3+ z3+ 3xyz (iv) 4xy2 3yz2 + 4x2z
3). Add the following expressions
(i)x3, ,-3x3,2x3,-4x3 (ii)2a2- 3ab,5a2 + 4ab
(iii) a2+ 2ab + b2,a2 2ab + b2,a2- b2
(iv) 18a 10b,-2a + 12b,-10a + 6b
(v) 2x2 - 4x- 3,5x-6x2+ 2,6x-3 +5x2
4). Subtract
(i)4a +3b from 2a + 2b 4 (ii) x2 + y2 from 5x2 + 3y2 + 2
(iii) 10a2 -5a from -10a -6a2
(iv) 6x3 7x2 + 5x 3 from 4 5x + 6x2 8x3
(v) x2y -4xy2+ 4xy from 2x2y + 3xy2-xy
5). From the sum of 4x2 -6x + 3 and -4x2 -7x + 5 subtract 3x2-8x + 6.
6). What should be added to 5x2 + 6x -3 to get 3x + 2?
7). Multiply
(i) 9x2y and 2y2x2 (ii) -4/3ab and 3/2 a2c
(iii) x3(x2y + y2x) (iv) -8y( 2xy + 3y2)
(v) 3/5xy⌊1/10 x - 4/7 y⌋ (vi) xyz(4y2 + 9x2)
8.Simplify
i) p^2 (p^2 - q^2 ) + q^2 (p^2 - q^2 )
ii)a(b-c) - b(c a) c(a b)
iii)xy^2 (4xy -2x^2 )- x^3 y( 1-2y)+ x^2 y(x- y^2 )
9. Find the products
i) (x + a)( x + b)
ii) (9x + 5y)(3x 2y)
iii)(2x^2- 1)(4x^2+ 5x)
iv) (3x2 + 7y)(5x 6y)
v)(3/5 xy+ 5/2 y^2 z)(2x-3yz)
10. Find the products and verify the results for x = 1 and y = -2
i)(7xy + 4y^2 )(3y^2+ 8x^2)
ii)(11y + 7x^2)(1/2 x^(3 )+ xy))
iii)(9x + 1/2 y^3 )(x^(3 ) y^3 )
11.Simplify
i)3x2 + 4x(3x 4y) - 20 xy
ii)8ab x 2 b2 + 7a2b x (5y 3x)
iii)1/5 ( 5x^(2 )+ 10y^2 )(x^2 y^2 )
iv)(2x + y) (1 + 4x + 3y) - 6x (x + y)
v)(3y + 5x 7)(x -1) (y -2x + 3) (x + 4)
12.)Multiply
i) (x + y ) and (x2 xy + y2) ii)(2a + 3) x 5a x (-a + 1)
iii)1/(2 ) m x (8m -6) x ( 4 12 m)
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