Q.12115·Miscellaneous·2014·EasyABC is a triangle right-angled at A where AB = 6 cm and AC = 8 cm. Semicircles are drawn (outside the triangle) on AB, AC and BC as diameters which enclose areas x, y and z square units respectively. What is x + y - z equal to?View question
Q.12116·Miscellaneous·2014·EasyThe three sides of a triangle are 15, 25 and x units. Which one of the following is correct?View question
Q.12117·Miscellaneous·2014·EasyTwo light rods AB = a + b, CD = a – b are symmetrically lying on a horizontal plane. There are kept intact by two strings AC and BD. The perpendicular distance between the rods is 'a'. The length of AC is given byView question
Q.12118·Miscellaneous·2014·EasyA cylinder is surmounted by a cone at one end, a hemisphere at the other end. The common radius is 3.5 cm, the height of the cylinder is 6.5 cm and the total height of the structure is 12.8 cm. The volume V of the structure lies betweenView question
Q.12119·Miscellaneous·2014·EasyIn a triangle ABC, AB = BC = CA. The ratio of the radius of the circumcircle to that of the incircle isView question
Q.12120·Miscellaneous·2014·EasyIf sin(A + B) = 1, where 0 < B < 45°, then what is cos(A – B) equal to?View question
Q.12121·Miscellaneous·2014·EasyFor a plot of land of 100 m × 80 m, the level is to be raised by spreading the earth from a stack of a rectangular base 10 m × 8 m with vertical section being a trapezium of height 2 m. The top of the stack is 8 m × 5 m. By how many centimeters can the level be raised?View question
Q.12122·Miscellaneous·2014·EasyAB is a straight line; C and D are points on the same side of AB such that AC is perpendicular to AB and DB is perpendicular to AB. Let AD and BC meet at E. What is (AE⁄AD) × (BE⁄BC) equal to?View question
Q.12123·Miscellaneous·2014·EasyConsider an equilateral triangle of a side of unit length. A new equilateral triangle is formed by joining the mid-points of the first one, then a third equilateral triangle is formed by joining the mid-points of the second. The process is continued. The sum perimeter of all triangles thus formed isView question
Q.12124·Miscellaneous·2014·EasyLet ABCD be a parallelogram. Let P, Q, R, S be the mid-points of sides AB, BC, CD, DA respectively. Consider the following statements : 1. Area of triangle APS < Area of triangle DSR if BD < AC. 2. Area of triangle ABC = 4 (Area of triangle BPQ). Select the correct answer using the code given below :View question
Q.12125·Miscellaneous·2014·EasyAB and CD are two chords of a circle meeting externally at P. Then which of the following is/are correct ? 1. PA × PD = PC × PB. 2. Triangles PAC and PDB are similar. Select the correct answer using the code given below :View question
Q.12126·Miscellaneous·2014·EasyConsider the following statements : 1. Let ABCD be a parallelogram which is not a rectangle. Then 2(AB² + BC²) ≠ AC² + BD² 2. If ABCD is a rhombus with AB = 4 cm, then AC² + BD² = n³ for some positive integer n. Which of the above statements is/are correct ?View question
Q.12127·Miscellaneous·2014·EasyABC is triangle right-angled at B. If AB = 6 cm and BC = 8 cm, then what is the length of the circum-radius of the triangle ABC ?View question
Q.12128·Miscellaneous·2014·EasyIf AD is the internal angular bisector of triangle ABC with AB = 3 cm and AC = 1 cm, then what is BD : DC equal to ?View question
Q.12129·Miscellaneous·2014·EasyIn a triangle ABC, AD is perpendicular to BC and BE is perpendicular to AC. Which one of the following is correct ?View question
Q.12130·Miscellaneous·2014·EasyABCD is a parallelogram. E is a point on BC such that BE : EC = m : n. If AE and DB intersect in F, then what is the ratio of the area of triangle FEB to the area of triangle AFD ?View question
Q.12131·Miscellaneous·2014·EasyIf triangles ABC and DEF are similar such that 2AB = DE and BC = 8 cm, then what is EF equal to ?View question
Q.12132·Miscellaneous·2014·EasyThe diameter of the base of a cone is 6 cm, altitude is 4 cm. What is the approximate curved surface area of the cone ?View question