RAMANUJAN MATHEMATICS CLUB,

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1 A. B Q R C A=, BQ= AC=11 BC=... In the adjacent figure, If A= cm, BQ= cm and AC=11 cm, then BC=...cm. 1 ) 1 ) ) 1 8. ; Match the following. a) r h ) b) ) c) ) d) 1 r r r h 1 a, b, c, d ) 1 d, c, b, a ) 1 b, d, a, c ) 1 d, b, c, a 9. cos sec 1 tan cot ec 1 ) ) 1 ). If log 9, then () ) ) ;Does not eist ) 8 RAMANUJAN MATHEMATICS CLUB SALUR, VIZIANAGARAM DIST. (Estd. Cell: 91 (Regd.) 1 th DISTRICT LEVEL MATHEMATICS TALENT TEST 1 CLASS : X (Up to November Syllabus) Dt All the Best 1 ORGANISER : R. RAJANIKANTH

2 SALUR X 1 th RAMANUJAN MATHEMATICS TALENT TEST-1 X CLASS (Up to November Syllabus) Name :... Date : Ma. Marks : School :... Time : 1 am am. (OMR Sheet) 1., 16 The H.C.F. of, 16 and is 1 ) 18 ) 1 ) 6. A B. n A, n A B 1 n B A and B are disjoint sets. If n A, n A B 1 then n B, ) ) 6 ) 1 Degree of the polynomial ; Not defined ) 8 ) ). a by c y is. p X- The distance between the two intersecting points of X-ais and the graph of p is units ) units ) units ) units. If a two digit number is four times the sum of its digits and twice the product of it digits, then the number is 6 ) 6 ) 9 ) Which constant should be added to solve the quadratic equation by the method of completing the square? 9 16 R ) 16 ) y C Q A. ; From the adjacent figure the relation between and y is y 1. ) y ) y 1 ) y 6 11 B ) y

3 and () y tan, then () 9. If sec 1 y ) ) 8 ). X- To draw the more than type ogive curve... should be taken on X-ais. ; Lower boundaries ) ; Upper boundaries ) ; GCF ) ; Frequency 1. log 1. 1 ) 1 ) 9 16 ) ; does not eist. n A 1, n B n A B If n A 1, n B, then greatest and least values of n A B 1, ) 1, ) 6, ) 6, 1 The condition, if a by c represents a linear equation in two variables and y is a b ) a b ) a b ) a b. 6 The product of two Consecutive positive integers is 6. Representation in quadratic equation is 6 ) 6 ) 16 ) 6 6. ABCD, AB= AC BD If in a rhombus ABCD, AB=cm, then AC BD ) 6 ) ) 8. A line which intersects the given circle at two distinct points is called a ; Tangent ) ; Secant ) ; Chord ) ; None 8. A vender selling an ice cream. It may be in the combination of 9. ; Triangle, Hemisphere ) ; Cone, Hemisphere ) ; Cone, Semi circle ) ; Cylinder, Circle 1 sin sin cos sin ) tan ) cos ) cot

4 1.,,,,,,,, Mode of the data,,,,,,,, is, ), ),, ) ;Does not eist 11. Which of the following will be converted in to a non - terminating decimal? 1. A B 1. ) 6 ) 9 If A B, then which of the following is true? A B B ) A B A ) A B ) ; All the above 1 olynomial 1 has... zeroes. ) ; Only one real ) ; No real ) ; Only two real ) ; One real and the other non-real 1. y 8 y Which of the following is a solution of y 8 and y?, 1 ) 1, ) 1, ), 1. 1 k 1 k If the discriminant of 1 k is 1, then k. k 6 k 1 k If the sum of the roots of the equation k k 6 1 is equal to half of the product, then k 6 ) ) 1 ) 6. ABC B M,N AB BC AN CM. If ABC is a right angled triangle, right angled at verte B and M, N are the mid-points of AB and BC respectively, then AN CM AC ) AC ) S T O AC ) 6AC From the adjacent figure,which of the following is false? OT 9 ) OT 6 ) T=S ) TS TOS , 8, 1 If the three metallic spheres of radii 6 cm, 8 cm and 1 cm are melted into form a single sphere, then the diameter of resulting sphere is... cm. 1 ) ) ) 6 9

5 .,,, 6,, 8, 9, If is deleted from the data,,, 6,, 8, 9,, then the median is increased by. ) 1 ) 1. ) 1. roduct of any three consecutive positive numbers is always divisible by ) 6 ) 1 ) 1. A={}, B= {1} A B B A If A {prime numbers lessthan}, B {whole numbers lessthan1},then A B B A. ) ) A ) B 1 The quotient and remainder when 1 is divided by are, 11 ), 11 ), 11 ), Half the perimeter of a rectangular garden is 6 m. If the length is m more than its width, then the area of the garden is... m 6 ) ) ) ) 8 ) ) ( QR ). BC=1, QR= ABC ~ QR ABC ABC ~ QR, Such that ar ABC ar QR. If BC=1 cm, then QR=...cm. 9 ) 1 ) 6 ) 8 1. O If Radius of a circle with centre O is cm. is a point at a distance of cm from O, then the number of tangents that can be drawn to the circle is 1 ) ) ) If a rectangular paper of length cm and width 1 cm is revolved along its width and cylinder is formed, then radius of its base is... cm. ) 11 ) sec A cos ec A If sec A cos ec A, A A ) 11 =, where A is an acute angle, then the measure of A is ) ) 9 ) The mean of 11 observations is. If the mean of first si observations is 9 and that of last si observations is, 8 then the sith observation is 6 ) ) )

6 1. The fundamental theorem of arithmetic is applicable to the number is ) ) ) 1. Which of the following is not a singleton set? { : 1, N } ) { : 9, N } ) { :, N } ) { : } ; { : isa prime, } 9 1 1,, If,, are the zeroes of the cubic polynomial , then ) ) ) A fraction becomes 9, if is added to both the numerator and denominator. If is added to both the 11 numerator and denominator it becomes, then the fraction is 6 9 ) 9 ) ) 9 9. If and Q M , then the value of is ) N R 1 6 ) 1 ) ) ) 1 ) ;The value 1 represented by from the adjacent figure is. cm ) 6 cm ) 8 cm ) 1 cm. Angle made by the minutes hand in a clock during a period of minutes is 1 ) ) 6 ) If A cylinder, cone and sphere have made with the same iron sheet of equal radii and heights. Then which one contain maimum volume of liquid. ;cone ) ; sphere ) ; cylinder ) ; can t say cot, then () cos sin