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1.) The product of Karan's age five years ago and his age after 9 years from now is 32.This is represented by the quadratic equation
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2.) X2 -4X + 77 = 0
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2.) The roots of the equation 6x2 - x-2= 0 are
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1.) 2/3 - 1/2
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3.) The equation 3x2 - 5x+2=0 has
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1.) two real and unequal roots |
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4.) Find two numbers whose sum in 27 and product is 182
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2.) 13 , 44
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5.) Each one of 100 boxes is led with 50 one rupee coins on first day and 25 more coins added every next day. The AP representing the progression is:
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3.) 50, 75, 100, 125,....
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6.) Common difference of the AP 3, 1, -1, -3, ... is
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2.) -5 |
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7.) Tenth term of the AP 1, -1, -3, -5,... is
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2.) -7 |
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8.) The sum of the first 22 terms of the AP 8, 3, -2, ... is
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1.) -979 |
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9.) D and B are the midpoints of sides AB and AC of a triangle ABC respectively and BC-10 cm. If DE| BC, then the length of DE is
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2.) 5 cm |
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10.) Which of the following is not similar figures
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3.) Isoscles Trianglez |
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11.) ΔODC - ΔOBA and ∠BOC = 125°, then ∠DOC = ?
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2.) 55° |
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12.) If M(P/3 , 4) is the mid point of the line segment joning A (-6,5) and B(-4,3), then M (P/3 , 4) is
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1.) -10 |
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13.) The distance between the points (2,3) and (4.7 is
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3.) 2√2 |
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14.) The coordinates of the point P(x,y) which divides the line segment joining th points A(X1 , Y1) and B(X2 , Y2 ) internally in the ratio m1: m2 are
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2.) |
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15.) The points (1, 5), (2, 3) and (-2,-11) form a
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1.) Triangle |
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16.) If 15cot A = 8, then sin A = ?
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2.) 15/17 |
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17.) 2 tan 30° / 1+ tan? 30° =
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1.) sin 60° |
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18.) (sec A + tan A)(l- sin A) - 2
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2.) cos A |
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19.) Which of the following is true?
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2.) The value of sin θ increases as θ increases, 0 ≤ θ ≤ 90° |
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20.) The angle formed by the line of sight with the horizontal when it is above the horizontal level is
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1.) Angle of elevation |
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21.) A ladder is leaned against a wall with angle of 60° with the ground and its foot is 6 feet away from the wall, then the length of the ladder is
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1.) 12 feet |
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22.) Two cars aré seen from the top of a tower of height 75 m with angles of depress 30" and 45" respectively. The distance between the cars if they are on either a of the tower on the same line with the tower is
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1.) 75 (√3+1)m |
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23.) The number of tangents a circle can have from a point outside the circle is
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2.) two |
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24.) The angle made by the tangent at any point of circle with the radius at the point of contact is
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4.) 90° |
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25.) A tangent PQ at a point P of a circle of radius 9 cm meets a line through the centre O at a point Q so that 0Q = 15 cm. The length of PQ is
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1.) 12 cm |
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26.) Area of a sector of a circle with radius 4 cm and angle 30* is (use π = 3.14)
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3.) 4.18 cm2 |
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27.) Length of an are of a sector of angle 45' when the radius of the circle is 3 cm, is
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2.) 3π/4 cm |
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28.) Area of minor segment if a chord of a circle of radius 10 cm subtends a right angle at the centre is (use π - 3.14),
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2.) 28.5 cm2 |
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29.) A toy is in the form of a cone of radius r and lateral height l mounted on a hemisphere of same radius and the total height of the toy is h, then the total surface area of the toy is
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1.) xr(2r+l) |
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30.) A model is made with two cones each of height 2 cm attached to the two ends of cylinder. The diameter of the model is 3 cm and its length is 12 cm. Then volume of the model is (use π = 22 / 7)
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3.) 72 cm3 |
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31.) The mode and mean of a data are 7 and 5 respectively, then median is
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2.) 17/3 |
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32.) If assumed mean of a data is 47•5, ∑f1d1 , = 435 and ∑f1 = 30, then mean of & data is
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3.) 63 |
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33.) The cumulative frequency of a class is the frequency obtained by
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1.) adding the frequencies of all the classes preceding the given class) |
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34.) Formula for finding mode for grouped data is
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1.) |
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35.) Which of the following cannot be a probability?
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4.) -1.5 |
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36.) P(E) =
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1.) 1- P(E) |
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37.) Which of the following has equally likely outcomes?
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4.) all of the above |
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38.) A card is drawn from a set of 52 cards. The probability of getting a queen card is
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3.) 1/13 |
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39.) Ram and Syam are friends. Probability that both will have same birthday is
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2.) 1/365 |
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40.) 491400 =
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2.) 23 x33 x52 x7x13 |
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