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ICSE Class X Question Bank 2024 : Mathematics

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Dhruvin Mehta
Hiranandani Foundation School (HFS), Powai, Mumbai
1st to 10th
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/ 702110326 10th ICSE Mathematics 2024 Board Exam (All Types Covered) Note: After every question I have mentioned PROBABILITY OF COMING IN BOARDS (P.O.C.I.B) 7021103266 No calls will be answered before 14 Mar. All coomunication via Whatsapp before 14 Mar. 24 Hr Phone Helpline from 10 am 14 March (Thu) to 10 am 15 March (Fri) You may call or whatsapp anytime to clear your doubts. 1 / 702110326 Ch. 1 GST 1. M/s Ram Traders, Delhi, provided the following services to M/s Geeta Trading Company in Agra (UP). Find the amount of bill: (P.O.C.I.B - 100%) Number of 8 12 10 16 services Cost of each 680 320 260 420 service (in Rs.) GST% 5 12 18 12 2. A is a manufacturer of T.V. sets in Delhi. He manufactures a particular brand of T.V. set and marks it at Rs.75,000. He then sells this T.V. set to a wholesaler B in Punjab at a discount of 30%. The wholesaler B raises the marked price of the T.V. set bought by 30% and then sells it to dealer C in Delhi. If the rate of GST = 5%, find tax (under GST) paid by wholesaler B to the government. (P.O.C.I.B - 70%) 3. Kritika, a manufacturer, sells binoculars for Rs. 3,750 to Aarushi, a wholesaler, who sells it to Vashu, a retailer, at a profit of 12%. Vashu, The retailer, sells it to a customer, Dhir, at a profit of Rs. 600. The GST charged is 18%, and all the sales are intra-state, find: (i) The GST paid by the wholesaler, Aarushi, to the Central Government. (ii) The price paid by the retailer, Vashu, inclusive of tax. (iii) The total GST received by State Government. (iv) The price paid by the customer, Dhir. (P.O.C.I.B - 70%) 4. A shopkeeper buys an article whose list price is Rs. 450 at some rate of discount from a wholesaler. He sells the article to a consumer at the list price and charges GST at the rate of 6%. If the shopkeeper has to pay GST of Rs. 2.70, find the rate of discount at which he bought the article from the wholesaler. (P.O.C.I.B - 1 %) Ch. 2 Banking 1. Vedik deposited Rs. 350 per month in a bank for 1 year and 3 months under the Recurring Deposit Scheme. If the maturity value of his deposits is Rs. 5,565; find the rate of interest per annum. (P.O.C.I.B - 100%) 2. Rishabh has a Recurring Deposit Account in a post office for 3 years at 8% p.a. simple interest. If he gets Rs. 9,990 as interest at the time of maturity, find : (i) the monthly instalment (ii) the amount of maturity. (P.O.C.I.B - 100%) 3. Sonia had a recurring deposit account in a bank and deposited Rs. 600 per month for 2 years. If the rate of interest was 10% p.a., find the maturity value of this account. (P.O.C.I.B - 100%) 4. Mr. Britto deposits a certain sum of money each month in a Recurring Deposit Account of a bank. If the rate of interest is of 8% per annum and Mr. Britto gets Rs. 8088 from the bank after 3 years, find the value of his monthly instalment. (P.O.C.I.B - 100%) 5. The maturity value of a R.D. Account is Rs. 16,176. If the monthly installment is Rs. 400 and the rate of interest is 8%; find the time (period) of this R.D. Account. (P.O.C.I.B - 10%) 24 Hr Phone Helpline from 10 am 14 March (Thu) to 10 am 15 March (Fri) You may call or whatsapp anytime to clear your doubts. 2 / 702110326 Ch. 3 Shares & Dividend 1. A man buys 400, twenty-rupee shares at a premium of Rs. 4 each and receives a dividend of 12%. Find: (i) the amount invested by him. (ii) his total income from the shares. (iii) percentage return on his money. (P.O.C.I.B - 100%) 2. Vivek invests Rs. 4,500 in 8%, Rs. 10 shares at Rs. 15. He sells the shares when the price rises to Rs. 30, and invests the proceeds in 12% Rs. 100 shares at Rs. 125. (P.O.C.I.B - 60%) Calculate: (i) the sale proceeds (ii) the number of Rs. 125 shares he buys. (iii) the change in his annual income from dividend. 3. Mr. Gupta has a choice to invest in ten-rupee shares of two firms at Rs. 13 or at Rs. 16. If the first firm pays 5% dividend and the second firm pays 6% dividend per annum, find which firm is paying better? (P.O.C.I.B - 10%) 4. Gopal has some Rs. 100 shares of company A, paying 10% dividend. He sells a certain number of these shares at a discount of 20% and invests the proceeds in Rs. 100 shares at Rs. 60 of company B paying 20% dividend. If his income, from the shares sold, increases by Rs. 18,000, find the number of shares sold by Gopal. (P.O.C.I.B - 1%) 5. Mrs. Kulkarni invests 1,31,040 in buying 100 shares at a discount of 9%. She sells shares worth 72,000 at a premium of 10% and the rest at a discount of 5%. Find her total gain or loss on the whole. (P.O.C.I.B - 1%) Ch. 4 Linear Inequations 1. Solve the following inequation and graph the solution set on the number line 2x 3 < x + 2 3x + 5, x Z. (P.O.C.I.B - 100%) 2. (P.O.C.I.B - 100%) 3. (P.O.C.I.B - 100%) 4. (P. O.C.I.B - 100%) 5. P is the solution set of 7x 2 > 4x + 1 and Q is the solution set of 9x 45 5(x 5); where x R. Represent: (i) P Q (ii) P Q (iii) P Q on different number lines. (P.O.C.I.B - 1 %) 24 Hr Phone Helpline from 10 am 14 March (Thu) to 10 am 15 March (Fri) You may call or whatsapp anytime to clear your doubts. 3 / 702110326 Ch. 5 Quadratic Equations 1. Solve the following question and give your answer correct to 2 decimal 2 places: 5x 3x 4 = 0 2. (P.O.C.I.B - 100%) (P.O.C.I.B - 100%) 3. Solve for x using the quadratic formula. Write your answer correct to two significant figures: (x 1)2 3x + 4 = 0. (P.O.C.I.B - 100%) 4. Find the value of k for which x = 3 is a solution of the quadratic equation, (k + 2)x2 kx + 6 = 0. Thus find the other root of the equation. (20%) 5. Find the value of k for which the following equation has equal roots. x2 + 4kx + (k2 k + 2) = 0 (P.O.C.I.B - 80%) 6. Find the value of m for which the given equation has real and equal roots. x2 + 2 (m 1)x + (m + 5) = 0. (P.O.C.I.B - 80%) Ch. 6 Word Problems 1. Rs. 480 is divided equally among x children. If the number of children were 20 more then each would have got Rs. 12 less. Find x .(P.O.C.I.B - 100%) 2. A car covers a distance of 400 km at a certain speed. Had the speed been 12 km/h more, the time taken for the journey would have been 1 hour 40 minutes less. Find the original speed of the car. (P.O.C.I.B - 100%) 3. A two digit positive number is such that the product of its digits is 6. If 9 is added to the number, the digits interchange their places. Find the number. (P.O.C.I.B - 40%) 5. (P.O.C.I.B - 80%) 6. Five years ago, a woman s age was the square of her son s age. Ten years later her age will be twice that of her son s age. Find: (i) The age of the son five years ago. (ii) The present age of the woman. (P.O.C.I.B - 100%) 7. Two pipes flowing together can fill a cistern in 6 minutes. If one pipe takes 5 minutes more than the other to fill the cistern, find the time in which each pipe would fill the cistern. (P.O.C.I.B - 50%) 8. The area of a big rectangular room is 300 m2. If the length were decreased by 5m and the breadth increased by 5 m; the area would be unaltered. Find the length of the room. (P.O.C.I.B - 1 %) 9. The speed of a boat in still water is 15 km/hr. It can go 30 km upstream and return downstream to the original point in 4 hrs 30 mins . Find the speed of the stream. (P.O.C.I.B - 1 %) Link for explanation of upstream downstream concept: https://www.instagram.com/reel/CpQOv4Wq2JZ/?igshid=YmMyMTA2M2Y= 24 Hr Phone Helpline from 10 am 14 March (Thu) to 10 am 15 March (Fri) You may call or whatsapp anytime to clear your doubts. 4 / 702110326 10. In an auditorium. seats were arranged in rows and columus. The number of rows was equal to the number of seats in each row. When the number of rows was doubled and the number of seats increased by 300. Find: (P.O.C.I.B - 10%) (i) the number of rows in the original arrangement. (ii) the number of seats in the auditorium after re-arrangement. Ch. 7 Proportion 1. Find the least number to be added to 5, 17, 35, 87 such that the resulting numbers are in proportion. (P.O.C.I.B - 50%) 2. Find two numbers such that the mean proportional between them is 14 and third proportional to them is 112. (P.O.C.I.B - 80%) (P.O.C.I.B - 100%) 3. 4. (P.O.C.I.B - 100%) 5. (P.O.C.I.B - 100%) 6. (P.O.C.I.B - 100%) 7. If y is the mean proportional between x and z, prove that: 2 2 + 2 2 2 + 2 8. If = 9. If a = 11. If (P.O.C.I.B - 10%) = 4 + + + 4 6 , find the value of: 2 + 3 3 + 12 6 2 + 8 + 2 2 2 2 + 2 3 (P.O.C.I.B - 1%) + 2 3 3 + 27 (P.O.C.I.B - 60%) = 9 2 + 27 then prove that: x : y = 2 : 3. 12. Using properties of proportion solve for x: 12. If (P.O.C.I.B - 40%) prove that: bx2 2axy + by2 = 0 2 + 1 2 + + 1 = 14 ( 1) 13 ( + 1) 4 + 1 2 2 then find the value of x. = 17 8 (P.O.C.I.B - 40%) (P.O.C.I.B - 10%) 24 Hr Phone Helpline from 10 am 14 March (Thu) to 10 am 15 March (Fri) You may call or whatsapp anytime to clear your doubts. 5 / 702110326 Ch. 8 Remainder Factor Theorem 1. Find the value of a and b if x 1 and x 2 are factors of x3 ax + b. Hence, factorise completely. (P.O.C.I.B - 100%) 2. Using the Remainder Theorem, factorise the following completely: 4x3 + 7x2 36x 63. (P.O.C.I.B - 100%) 3. Find the values of constants a and b when (x2 + x 6) is a factor of expression x3 + ax2 + bx 12. Hence factorise completely. (P.O.C.I.B - 10%) 4. The polynomials 2x3 7x2 + ax 6 and x3 8x2 + (2a + 1) x 16 leave the same remainder when divided by x 2. Find the value of a . (P.O.C.I.B - 70%) Ch. 9 Matrices 1. (P.O.C.I.B - 100%) 2. (P.O.C.I.B - 100%) 3. (P.O.C.I.B - 70%) 4. (P.O.C.I.B - 70%) Ch. 10 A.P. & Ch. 11 G.P. 1. Which term of the arithmetic progression 1 + 4 + 7 + 10 + . is 52 ? (P.O.C.I.B - 100%) st th 2. Find the 31 term of an arithmetic progression whose 10 term is 38 and 16th term is 74. (P.O.C.I.B - 100%) 3. Find the sum of all natural numbers between 250 and 1000 which are divisible by 9. (P.O.C.I.B - 100%) 4. The sum of the first three terms of an Arithmetic Progression is 42 and the product of the first and third term is 52. Find the first term and the common difference. (P.O.C.I.B - 30%) 5. If (k 3), (2k + 1) and (4k + 3) are three consecutive terms of an A. P., find the value of k. (P.O.C.I.B - 30%) 6. How many terms of the A.P. 24, 21, 18, must be taken so that their sum is 78? (P.O.C.I.B - 80%) 7. The sum of three numbers in A.P. is 15 and the sum of the squares of the extreme terms is 58. Find the numbers. (P.O.C.I.B - 30%) 24 Hr Phone Helpline from 10 am 14 March (Thu) to 10 am 15 March (Fri) You may call or whatsapp anytime to clear your doubts. 6 / 702110326 8. Divide 96 into four parts which are in A.P. and the ratio between product of their means to product of their extremes is 15 : 7. (P.O.C.I.B - 30%) 9. Which term of the G. P. : 2 , 4 , 8 , is 4096? (P.O.C.I.B - 80%) 10. Find the G. P. with 4th term = 54 and 7th term = 1458. (P.O.C.I.B - 100%) 11. If the sum of 1 + 2 + 22 + . +2n 1 is 255 . Find value of n.(P.O.C.I.B - 80%) 12. In a G.P. the ratio between the sum of first three terms and that of the first six terms is 125:152 . Find its common ratio. (P.O.C.I.B - 10%) 13. Sum of three numbers in G.P. is Find the numbers. 39 10 and their product is 1. (P.O.C.I.B - 70%) Ch. 12 Reflection 1. Use a graph paper for this question. (Take 2 cm = 1 unit on both axes) (i) Plot the following points: A (0, 4), B (2, 3), C (1, 1) and D (2, 0). (ii) Reflect points B, C, D on the y-axis and write down their co-ordinates. Name the images as B , C , D respectively. (iii) Join the points A, B, C, D, D , C , B and A in order, so as to form a closed figure. Find its area and perimeter. (iv) Name two invariant points under reflection in y-axis. (P.O.C.I.B - 100%) 2. The points P (5, 1) and Q ( 2, 2) are reflected in line x = 2. Use graph paper to find the images P and Q of points P and Q in line x = 2. Take 2 cm = 2 units. (i) Name the figure PP QQ . (ii) Find the area of PP QQ . (P.O.C.I.B - 100%) Ch. 13 Section Midpoint Formula 1. In what ratio is the line joining (2, 3) and (5, 6) divided by the x-axis? Also find the co-ordinates of the point. (P.O.C.I.B - 100%) 2. Calculate the ratio in which the line joining A(6, 5) and B(4, 3) is divided by the line y = 2. (P.O.C.I.B - 80%) 3. The mid-point of the line segment joining (4a, 2b 3) and ( 4 , 3b) is (2, 2a). Find the values of a and b. (P.O.C.I.B - 50%) 4. The co-ordinates of the centroid of a triangle PQR are (2, 5). (P.O.C.I.B - 10%) If Q ( 6, 5) and R (11, 8); calculate the co-ordinates of vertex P. Ch. 14 Equation of Line 1. The line passing through ( 4, 2) and (2, 3) is perpendicular to the line passing through (a, 5) and (2, 1) find a. (P.O.C.I.B - 100%) 2. ABCD is a parallelogram where A(x, y), B(5, 8), C(4, 7) and D(2, 4). Find: (i) Co-ordinates of A. (ii) the equation of a line, through the centroid of triangle ABC and parallel to AB. (P.O.C.I.B - 100%) 24 Hr Phone Helpline from 10 am 14 March (Thu) to 10 am 15 March (Fri) You may call or whatsapp anytime to clear your doubts. 7 / 702110326 3. (P.O.C.I.B - 100%) 4. In ABC, A(3, 5), B(7, 8) and C( 1, 10). Find the equation of the median through A, altitude through B, perpendicular bisector of AB. (P.O.C.I.B - 80%) 5. Find the equation of lines equally inclined to the co-ordinate axes and passing through ( 2, 0). (P.O.C.I.B - 10%) Ch. 15 Similarity 1. (ii) Find PT if PR is 13 cm (iii) Find A ( PTS) : A ( QTRS) (P.O.C.I.B - 100%) 2. (iii) If A ( TPS) = 90 cm2, find A (TQR). (P.O.C.I.B - 40%) 3. (P.O.C.I.B - 10%) 4. A model of a ship is made to a scale of 1 : 200. (i) The length of the model is 4 m; calculate the length of the ship. (ii) The area of the deck of the ship is 160000 m2; find the area of the deck of the model. (iii) The volume of the model is 200 litres; calculate the volume of the ship in m3. (P.O.C.I.B - 50%) Ch. 16 Loci 24 Hr Phone Helpline from 10 am 14 March (Thu) to 10 am 15 March (Fri) You may call or whatsapp anytime to clear your doubts. 8 / 702110326 1. Construct a triangle ABC in which BC = 5 cm, CA = 4.6 cm and AB = 3.8 cm. Find by construction a point P which is equidistant from BC and AB, and also equidistant from B and C. (P.O.C.I.B - 100%) 2. Use ruler and compasses only for the following question. All construction lines and arcs must be clearly shown. (i) Construct a ABC in which BC = 6.5 cm, ABC = 60 , AB = 5 cm. (ii) Construct the locus of points from at a distance of 3.5 cm from A (iii) Construct the locus of points equidistant from AC and BC. (iv) Mark two points X and Y which are at a distance of 3.5 cm from A and also equidistant from AC and BC. Measure XY. (P.O.C.I.B - 100%) Ch. 17, 18 Circles, Tangents & Intersecting Chords 1. (P.O.C.I.B - 100%) 2. (P. O.C.I.B - 100%) 3. (P.O.C.I.B - 100%) 4. (P.O.C.I.B - 100%) 24 Hr Phone Helpline from 10 am 14 March (Thu) to 10 am 15 March (Fri) You may call or whatsapp anytime to clear your doubts. 9 / 702110326 5. (P.O.C.I.B - 40%) 6. (P.O.C.I.B - 70%) 7. ABC is a triangle with AB = 10 cm, BC = 8 cm and AC = 6 cm. Three circles are drawn touching each Other with the vertices as their centres. Find the radii of the three circles. (P.O.C.I.B - 10%) 8. In the given figure, AB is parallel to DC, BCE = 80 and BAC = 25 . Find: (i) CAD (ii) CBD (iii) ADC 9. In the given figure, AB & XY are diameters of a circle with centre O. If APX = 30 , find: (i) AOX (ii) APY (iii) BPY (iv) OAX (P.O.C.I.B - 100%) (P.O.C.I.B - 100%) 10. In the given figure, tangents PQ and PR are drawn to a circle such that angle RPQ = 30 . A chord RS is drawn parallel to the tangent PQ. Find the angle RQS. Ch. 19 Constructions 1. Draw a circle of radius 4.5 cm. Draw two tangents to this circle so that the angle between the tangents is 45 . (P.O.C.I.B - 30%) 2. Draw a circle of radius 3 cm. Mark a point P at a distance of 5 cm from the centre of the circle drawn. Draw 2 tangents PA and PB to the given circle and measure the length of each tangent. (P.O.C.I.B - 30%) 3. Construct a triangle ABC in which BC = 5.5 cm, AB = 6 cm and ABC = 120 . Construct a circle circumscribing the ABC. (P.O.C.I.B - 100%) 4. Construct the incircle of an equilateral XYZ with side 6.3 cm. (100%) 5. Construct regular hexagon of side 4 cm. Draw its circumcircle. (30%) 6. Construct regular hexagon of side 5 cm. Draw its incircle. (P.O.C.I.B - 30%) 24 Hr Phone Helpline from 10 am 14 March (Thu) to 10 am 15 March (Fri) You may call or whatsapp anytime to clear your doubts. 10 / 702110326 Ch. 20 Cylinder, Cone & Sphere 1. A solid cone of height 8 cm and base radius 6 cm is melted and recast into identical cones, each of height 2 cm and diameter 1 cm. Find the number of cones formed. (P.O.C.I.B - 100%) 2. Two solid cylinders, one with diameter 60 cm and height 30 cm and the other with radius 30 cm and height 60 cm, are metled and recasted into a third solid cylinder of height 10 cm. Find the diameter of the cylinder formed. (P.O.C.I.B - 100%) 3. Eight metallic spheres each of radius 2mm, are melted and cast into a single sphere. Calculate the radius of the new sphere. (P.O.C.I.B - 100%) 4. From a rectangular solid of metal 42 cm by 20 cm by 30 cm, a conical cavity of diameter 14 cm and depth 24 cm is drilled out. (P.O.C.I.B - 70%) Find:(i) the volume of remaining solid, (ii) the surface area of remaining solid, (iii) the weight of the material drilled out if it weighs 7 gm per cm 3. Link for the concept of surface area: https://www.instagram.com/reel/Cl8-TSZvG3C/?igshid=YmMyMTA2M2Y= 5. A wooden toy is in the shape of a cone mounted on a cylinder as shown alongside. If the height of the cone is 24 cm, the total height of the toy is 60 cm and the radius of the base of the cone is twice the radius of the base of the cylinder is 10 cm; find the total surface area of the toy. [Take = 3.14] (P.O.C.I.B - 70%) 6. A vessel, in the form of an inverted cone, is filled with water to the brim. Its height is 32 cm and diameter of the base is 25.2 cm. Six equal solid cones are dropped in it, so that they are fully submerged. As a result, one-fourth of water in the original cone overflows. What is the volume of each of the solid cones submerged? (P.O.C.I.B - 1 %) 7. The internal and external diameters of a hollow hemispherical vessel are 21 cm and 28 cm respectively. Find its total surface area. (P.O.C.I.B - 50%) 8. A circular tank of diameter 2 m is dug and the earth removed is spread uniformly all around the tank to form an embankment 2 m in width and 1.6 m in height. Find the depth of the circular tank. (P.O.C.I.B - 1 %) 9. A circus tent is cylindrical to a height of 8m surmounted by a conical part. If total height of the tent is 13m and the diameter of its base is 24m; calculate: (i) total surface area of the tent (ii) Area of canvas, required to make this tent allowing 10% of the canvas used for folds and stitching. (P.O.C.I.B - 1 %) 10. A toy is composed of a cylinder with a cone and a hemisphere 24 Hr Phone Helpline from 10 am 14 March (Thu) to 10 am 15 March (Fri) You may call or whatsapp anytime to clear your doubts. 11 / 702110326 on either sides. The radius of each of the solids is 7 cm, the height of cylindrical part is 30 cm. Total height of the toy is 61 cm. Find the total surface area of the toy. (P.O.C.I.B - 80%) Ch. 21 Prove the following identities: 1. (P.O.C.I.B - 100%) 2. (1 + cot A cosec A) (1 + tan A + sec A) = 2 (P.O.C.I.B - 100%) 3. (P.O.C.I.B - 70%) 4. (sin A + cosec A)2 + (cos A + sec A)2 = 7 + tan2A + cot2A (P.O.C.I.B - 70%) 5. (P.O.C.I.B - 50%) 6. (P.O.C.I.B - 20%) 7. (P.O.C.I.B - 20%) 8. (P.O.C.I.B - 20%) 9. (P.O.C.I.B - 100%) 10. (P.O.C.I.B - 100%) Ch. 22 Heights & Distances 1. Find the height of a tree when it is found that on walking away from it 20 m, in a horizontal line through its base, the elevation of its top changes from 60 to 30 . (P.O.C.I.B - 100%) 2. From the top of a cliff, 60 meters high, the angle of depression of the top and bottom of tower is observed to be 30 and 60 . Find the height of the tower. (P.O.C.I.B - 100%) 3. From the top of a light house 100 m high, the angles of depression of two 24 Hr Phone Helpline from 10 am 14 March (Thu) to 10 am 15 March (Fri) You may call or whatsapp anytime to clear your doubts. 12 / 702110326 ships are observed as 48 and 36 respectively. Find the distance between the two ships (in the nearest metre) if the ships are on the opposite side of the light house. (P.O.C.I.B - 100%) 4. The angle of elevation of the top of an unfinished tower at a point distance 80 m from its base is 30 . How much higher must the tower be raised so that its angle of elevation at the same point may be 60 ? (P.O.C.I.B - 100%) 5. An aeroplane flying horizontally 1 km above the ground and going away from the observer is observed at an elevation of 60 . After 10 seconds, its elevation is observed to be 30 ; find the uniform speed of the aeroplane in km per hour. (P.O.C.I.B - 1 %) 6. The angle of elevation of a cloud from a point 60m above a lake is 30 and the angle of depression of the reflection of cloud in the lake is 60 . Find the height of the cloud from lake surface. (P.O.C.I.B - 1 %) Ch. 24 Measures of Central Tendency 1. (P.O.C.I.B - 100%) 2. (P.O.C.I.B - 100%) 3. 24 Hr Phone Helpline from 10 am 14 March (Thu) to 10 am 15 March (Fri) You may call or whatsapp anytime to clear your doubts. 13 / 702110326 (P.O.C.I.B - 100%) YouTube Link: https://youtu.be/Bx_gb26XvOw 4. (P.O.C.I.B - 100%) 5. (P.O.C.I.B - 100%) Ch. 25 Probability 1. Cards bearing numbers 2, 4, 6, 8, 10, 12, 14, 16, 18 and 20 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card which is: (i) A prime number (ii) A number divisible by 4 (iii) A number that is multiple of 6 (iv) An odd number. (P.O.C.I.B - 100%) 2. Sixteen cards are labelled as a, b, c ......... m, n, o, p. They are put in a box and shuffled. A boy is asked to draw a card from the box. What is the probability that the card drawn is: (i) a vowel. (ii) a consonant (iii) none of the letters of the word median. (P.O.C.I.B - 100%) 3. From a pack of 52 playing cards all cards whose numbers are multiples of 24 Hr Phone Helpline from 10 am 14 March (Thu) to 10 am 15 March (Fri) You may call or whatsapp anytime to clear your doubts. 14 / 702110326 3 are removed. A card is now drawn at random What is the probability that the card drawn is: (i) a face card (King, Jack or Queen) (ii) an even numbered red card? (P.O.C.I.B - 20%) 4. Two coins are tossed once. Find the probability of getting: (i) 2 heads (ii) at least 1 tail (P.O.C.I.B - 20%) 5. When 3 coins are tossed simultaneously, what is the probability of finding: (i) At most1 tail? (ii) At least 2 tails? (iii) Not less than 2 heads? (P.O.C.I.B - 20%) 6. A box contains some black balls and 30 white balls. If the probability of drawing a black ball is two-fifth of a white ball, find the number of black balls in the box. (P.O.C.I.B - 10%) Whatsapp on the given number to avail the answer key Some Imp Videos Hexagon Cheat Method GST Chain of Transactions Mean Short-cut Step Deviation Median Median Ogive Histogram Locus Quadratic Word Problems Formula List: https://drive.google.com/file/d/1I2xK_OeKxWehzlNbIAZtUhJtwUoHFvlh/view?usp=sharing All Subjects School Prelim Papers https://drive.google.com/drive/folders/1LPTZJbKxS9QQA-AxMv48sskjhrX8iUtE 24 Hr Phone Helpline from 10 am 14 March (Thu) to 10 am 15 March (Fri) You may call or whatsapp anytime to clear your doubts. 15

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