Math
1)Find the [HCF X LCM] for the numbers 100 and 190.
  
2)Find the number of solutions of the following pair of linear equations: x + 2y – 8 = 0 , 2x + 4y = 16.
  
3)If 4/5, a, 2 are three consecutive terms of an A.P., then find the value of a.
  
4)Two coins are tossed simultaneously. Find the probability of getting exactly one head.
  
5)In the figure below, ΔABC is circumscribing a circle. Find the length of BC.
  
6)If the diameter of a semicircular protractor is 14 cm, then find its perimeter.
  
7)If 1 is a zero of the polynomial p(x) = ax2 – 3(a – 1)x – 1, then find the value of a.
  
8)In ΔLMN, ∠L = 50° and ∠N = 60°. If Δ LMN ~ ΔPQR, then find ∠Q.
  
9)If sec2θ (1 + sin θ)(1 – sin θ) = k, then find the value of k.
  
10)Find the discriminant of the quadratic equation 3√3x2 + 10x + √3 =0;
  
11)A rational number between √2 and √3 ____________
  
12)What is the next term of A. P √8,√18,√32, .......
  
13)If one of the roots of the quadratic equation2x2 + px - 4 =0 is 4, then the value of p is:
  
14)From a point Q, the length of the tangent to a circle is 15 cm, and the distance of Q from the centre is 17 cm. The radius of the circle is:
  
15)The angle between any tangent and the radius at the point of contact of a circle is:
  
16)A bag contains five red balls and three black balls. A ball is drawn at random from the bag. The probability that the ball drawn is red is:
  
17)If the HCF of 612 and 1314 is 18, then their LCM is
  
18)The remainder when 5x2 - 4x + 1 is divided by x – 3 is
  
19)If the sum of two angles of a triangle is 80o and their difference is 30o, then the angles of the triangles are
  
20)If the median and mode of an ungrouped data are 25.6 and 21.4 respectively, then the mean of the data is _____________.
  
21)(Sec 13o - cot 77o)(Sec 13o + cot 77o)
  
22)The roots of the equation are x2 + x - 182 = 0 are:
  
23)The radii of the top and bottom of a frustum of a cone are 4 cm and 3 cm, respectively, and the height is 5 cm. Then its slant height is
  
24)Find a point on the y-axis, which is equidistant from the points A (6, 5) and B (- 4, 3).
  
25)The wickets taken by a bowler in 10 matches are as follows:- 2,6,4,5,0,2,1,3,2,3.The mode of data is
  

  


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