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1. Express 0.75 as rational number
a) 75/99
b) 75/90
c) 3/4 d) none 2. Which of the following statement is true?
a) every point on the number line represents a rational number
b) irratioinal numbers cannot be represented by points on the number line
c) 22/7 is a rational number d) none of these
1. Simplify: [(x+y)^{2} -z^{2}/(x+y+z)^{2}]
a) x+y+z
b) 1/(x+y+z)
c) 1 d) none 2. Find the value of "k" if the value expressions p(x) = kx^{3}+4x^{2}+3x-4 and q(x) = x^{3}-4x+k leave the same remainder when divided by (x-3).
a) k=-2
b) k=2
c) k=-1 d) k=3
3. Pair of Linear Equations in Two Variables - Quiz
SAMPLE QUESTIONS
1. Which of the following system of equations has unique solution?
a) 3x+y=2, 6x+2y=3
b) 2x-5y=3, 6x-15y=9
c) x-2y=3, 3x-2y=1 d) none 2. Divide 62 into two parts such that fourth part of the first and two- fifth part of the second are in the ratio 2:3
a) 24,38
b) 32,30
c) 16,46 d) 40,22
1. If a&b are the roots of x^{2}-px+q = 0, then a^{2}+b^{2} = _________
a) p^{2}+q^{2}
b) p^{2}+2q
c) p^{2}-q^{2} d) p^{2}-2q 2. The solution of √(5x-1) + √(x-1) = 2 is
a) x=2,x=1
b) x=2
c) x=1 d) none
1. If the sum of the first 10 terms and the sum of the first 100 terms of a given A.P. are 100 and 10 respectively.The the sum of the first 110 terms is ________
a) 90
b) -90
c) 110 d) -110 2. If x≠y and the sequence x,a_{1},a_{2},y and x,b_{1}, b2, y each are in AP, then (a_{2}-a_{1})/(b_{2}-b_{1}) = ______
a) 2/3
b) 3/2
c) 1 d) 3/4
1. ΔABC is equilateral with side 2cm. The perimeter of triangle formed by joining its mid points is
a) 6 cm
b) 3 cm
c) 2 cm d) none 2. In ΔABC DE| |BC then x =_____
1. If (0,0) and (3,√3) are two vertices of an equilateral triangle then the third vertex is _______
a) (0,2√3) or (3,-√3)
b) (0,-2√3) or (3,-√3)
c) (0,2√3) or (-3,√3) d) (0,2√3) or (-3,-√3) 2. In what ratio is the segment joining the points (-3,2) and (6,1) divided by Y-axis ?
a) 1:3
b) 2:1
c) 1:2 d) 3:1
1. √{(1+cosθ)/(1-cosθ)} = (cosecθ + cotθ)
a) 1
b) 0
c) (cosecθ-cotθ)/(cosecθ-cotθ) d) none 2. If X = a sinθ - bcosθ , Y = acosθ + bsinθ then
a) {(x^{2}/a^{2})+( y^{2}/b^{2})} = 1
b) {(x^{2}/Y^{2})+( a^{2}/b^{2})} = 1
c) x^{2}+Y^{2} = a^{2}+b^{2} d) none
1. The triangle with measurements a=(2p-1)cm,b=(2√2p , c=(2p+1)cm is __________
a) equilateral
b) right angled isoceles
c) isoceles d) right angled triangle. 2. The areas of two similar triangles are 196sq cm and 169cm^{2}. If the median of first one is 4cm, the other median is
a) 7.31
b) 1.73
c) 3.71 d) 1.37
1. PT is the tangent drawn from P. If the radius is 7 cm ; and OP is 25 cms. Then the length of the tangent is
a) 18cm
b) 12.5cm
c) 24cm d) 16cm 2. From the above figure , ∠PAC =
a) ∠AEC
b) ∠ACE
c) ∠QAC d) ∠ABC
1. The difference between circumference and radius of a circle is 37m. The circumgerence of that circle is
a) 7m
b) 44m
c) 154m d) none 2. Calculate the diameter of a circle, given that its circumference is 0.28π cm.
a) 0.7 cm
b) 0.14 cm
c) 0.28 cm d) 0.56 cm
1. A cuboidal metal of dimensions 44cm × 30 cm × 15 cm was melted and cast into a cylinder of height 28 cm. Its radius is _________
a) 20cm
b) 15cm
c) 10cm d) none 2. Ratio of volumes of two cones with same radii is
a) h_{1} : h_{2}
b) r_{1} : r_{2}
c) s_{1} : s_{2} d) none
1. An average which can determined graphically is
a) Median
b) Mode
c) H.M. d) A.M. 2. The mode of 9, 10, 6, 9, 6, 7, 9, 9, 10, 8, 10 is
a) 10
b) 13
c) 12 d) 9
1. The chance that a nin-leap year contains 53 saturdays is
a) 2/7
b) 1/7
c) 2/365 d) 1/365 2. A card is drawn from a packet of 100 cards numbered 1 to 100. The probability of drawing a number which is a square is
a) 1/10
b) 9/100
c) 1/100 d) 2/100