Quiz Answers
The ratio of LCM and HCF of the least composite and the least prime numbers is - 2:1The value of k for which the lines 5x+7y=3 and 15x + 21y = k coincide is - 9A girl walks 200m towards East and then 150m towards North. The distance of the girl from the starting point is - 250mThe lengths of the diagonals of a rhombus are 24cm and 32cm, then the length of the altitude of the rhombus is - 19.2Two fair coins are tossed. What is the probability of getting at the most one head? - 3/4ΔABC~ΔPQR. If AM and PN are altitudes of ΔABC and ΔPQR respectively and AB2 : PQ2 = 4 : 9, then AM:PN = - 2:3If 2sin2β – cos2β = 2, then β is-------? - 90°The lines x = a and y = b, are - IntersectingThe distance of point A(-5, 6) from the origin is------ - √61 unitsIf a² = 23/25, then a is ---------------number. - IrrationalIf LCM(x, 18) =36 and HCF(x, 18) =2, then x is - 4In ΔABC right angled at B, if tan A= √3, then cos A cos C- sin A sin C = - 0The number of revolutions made by a circular wheel of radius 0.7m in rolling a distance of 176m is - 40ΔABC is such that AB=3 cm, BC= 2cm, CA= 2.5 cm. If ΔABC ~ ΔDEF and EF = 4cm, then perimeter of ΔDEF is - 22.5One equation of a pair of dependent linear equations is –5x + 7y = 2. The second equation can be - 10x – 14y = –4A letter of English alphabets is chosen at random. What is the probability that it is a letter of the word ‘MATHEMATICS’? - 4/13If sum of two numbers is 1215 and their HCF is 81, then the possible number of pairs of such numbers are - 4If tan α + cot α = 2, then tan^20α + cot^20α = - 2If 217x + 131y = 913, 131x + 217y = 827, then x + y is - 5The LCM of two prime numbers p and q (p > q) is 221. Find the value of 3p – q. - 38A card is drawn from a well shuffled deck of cards. What is the probability that the card drawn is neither a king nor a queen? - 11/13Two fair dice are rolled simultaneously. The probability that 5 will come up at least once is - 11/36If 1+ sin2α = 3 sinα cosα, then values of cot α are - 1,2The vertices of a parallelogram in order are A(1,2), B(4, y), C(x, 6) and D(3,5). Then (x, y) is - (6, 3)The equation of the perpendicular bisector of line segment joining points A(4,5) and B(-2,3) is - 3x + y – 7=0The number of solutions of 3^(x+y )= 243 and 243^(x-y) = 3 is - 1The circumference of a circle is 100 cm. The side of a square inscribed in the circle is - 50√2/π cmIf 2 and ½ are the zeros of px^2+5x+r, then - p = r = - 2Point P divides the line segment joining R(-1, 3) and S(9,8) in ratio k:1. If P lies on the line x – y +2=0, then value of k is - 2/3If the equation 9x² + 6kx + 4 = 0 has equal roots then k= - 2
