Merit Students
Time: 1 Hr.
Class: X - Algebra
Total Marks: 195
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Q 1: Convert the binary integer to their decimal equivalent.
Q 13: Find the H.C.F. of the following polynomials.
110012
3y( y + 1)
Q 2: Find Tn for the given sequence, if they are in
Q 14: Solve the given simultaneous equation by Cramer's
arithmetic progression:
rule:
5, 4.5, 4, 3.5 ...........
4x + 3y = –3 and 5x + y = 10
Q 3: Find Tn for the given sequence, if they are in
Q 15: Solve the given equation by Cramer's Rule:
arithmetic progression:
x – 2y + 2 = 0 and x + 2y = 10
2, 3.5, 5, 6.5 ............
Q 16: Solve the given equation by Cramer's Rule:
Q 4: Simplify :
2x – 5y = 6 and 5y – 3x = – 4
2
( y – 1) ; 6y2( y + 1) ( y – 2)
Q 17: Solve the given quadratic equation by the
factorization method:
Q 5: Simplify the following algebraic expression.
Q 18: Solve the given quadratic equation by formula
Q 6: Convert the binary integers to their decimal
method.
equivalent.
Q 19: Solve the following quadratic equation by formula
Q 7: Convert the decimal integer to its binary equivalent by
method.
using division-remainder technique.
6010
Q 20: Find the H.C.F and L.C.M of the given polynomial:
Q 8: Convert the decimal integer to its binary equivalent by
18x3 – 2x; 9x2 + 15x – 6; 45x3 – 30x2 + 5x
using division-remainder technique.
Q 21: Solve the following quadratic equation by
1410
factorization method.
Q 9: Convert the binary integer to their decimal equivalent.
101111102
Q 22: Find the L.C.M of the following polynomial :
Q 10: Simplify :
a2 – 8a + 7; a2 – 12a + 35; a3 – 5a2 – a + 5
Q 23: Solve the given quadratic equation by the
Q 11: Prepare a table showing class ( xi) , frequency
factorization method:
( fi) and fixi
Daily
100
110
120
130
140
Q 24: Solve the given equation.
wages
=0
( in
Q 25: Solve the given problem. Verify your answer in
Rs.)
No. of
2
3
7
5
1
decimal number system.
workers
10102 – 10012
Q 12: Find the L.C.M. of the given polynomial:
Q 26: Convert the given binary number into decimal
a2 – b2; a2 + 2ab + b2; a3 + 3a2b + 3ab2 +b3
number.
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101112 = _____
10
Q 27: Convert the given binary number into decimal
number.
1110012 = _____
Q 39: Simplify the following algebraic expression.
10
Q 28: Convert the decimal integer to its binary equivalent
by using expansion method.
Q 40: Simplify the following :
17310
Q 29: A gas cooking range is sold for Rs. 2500 cash or for
Rs. 520 cash down payment followed by four equal
monthly instalments. If the rate of interest charged is 25%
Q 41: Simplify the following:
p.a., find the monthly instalment.
Q 30: A room heater is sold for Rs.440 cash or for Rs.200
cash down payment together with Rs.244 to be paid after
Q 42: Simplify the following:
one month. Find the rate of interest charged in the
instalment scheme.
Q 31: Solve :
Q 43: Simplify the following:
Q 32: Find the value of b2 – 4ac the given quadratic
equation and state whether the roots are distinct, equal or
Q 44: Simplify the following :
no real roots.
Q 33: Solve the given quadratic equation by the perfect
Q 45: Simplify :
square method.
Q 46: Two dice are thrown. Find the probability of the
Q 34: Solve the given quadratic equation by the perfect
events.
square method.
i) the product of the numbers on their upper faces is
twelve.
Q 35: Find the value of b 2 – 4ac the given quadratic
equation and state whether the roots are distinct, equal or
no real roots.
ii) the numbers on their upper faces is same.
iii) the sum of the numbers on their upper faces is multiple
of 5.
Q 47: John Albert is a junior engineer in Electricity
Company. He earns Rs. 18,700 p.m., from salary. He
Q 36: Simplify :
donates Rs. 6000 in the funds of national defence. He pays
Rs. 4,750 as a house loan per month. Also he deposited
Rs. 1,200 and Rs. 1,500 towards G.P.F. and P.L.I.
Q 37: Simplify :
respectively per month. What amount he will have to pay
as net tax in the financial year 2006-2007.
Q 48: Solve the given quadratic equation by the formula
Q 38: Simplify :
method:
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Q 60: Out of 20 litres, a milkman sells some milk at the rate
Q 49: Solve the following equations using proper solution.
,
of 15 Rs./lt. and remaining at 20 Rs./lt. If he gets Rs. 340
on selling it, how much milk he sold at each rate ?
Q 50: Monthly salary of Shri Shashikant is Rs.14,000
( exclusive of C.A) and deduction are as follows : Fixed
deposits Rs.25,000, G.P.F Rs.5,000 and LIC premium of
Rs.1,500 p.m. Find net tax to be paid for the financial year
2006-2007.
Q 51: Simplify :
Q 52: Solve the given simultaneous equation:
3x – 4y = 7 and 2x + y = 12
Q 53: Rs.480 are distributed equally among some
students. If 10 students are less then each will gets Rs.4
more. Find the total number of students and the amount
each student gets in the beginning.
Q 54: If x = 100, then find the value of
Q 55: Find the mean.
Q 56: Calculate the mean, the median, frequency and
mode distribution given below.
Q 57: Solve the given simultaneous equation:
21x – 10y = 62 and 10x – 21y = 62
Q 58: Solve the given simultaneous equation :
x + y = 7 and x – y = 1
Q 59: Solve the given simultaneous equation :
33x + 12y = 123 and 12x + 33y = 102
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