Q.12169·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.12170·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.12171·Miscellaneous·2014·EasyIf sin(A + B) = 1, where 0 < B < 45°, then what is cos(A – B) equal to?View question
Q.12172·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.12173·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.12174·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.12175·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.12176·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.12177·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.12178·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.12179·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.12180·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.12181·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.12182·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.12183·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
Q.12184·Miscellaneous·2014·EasyWhat is the area of the larger segment of a circle formed by a chord of length 5 cm subtending an angle of 90° at the centre ?View question
Q.12185·Miscellaneous·2014·EasyConsider the following in respect of the variate which takes values 2, 2, 2, 7, 7, 7, 7 : 1. The median is equal to mean. 2. The mode is both 2 and 7. Which of the above statements is/are correct ?View question
Q.12186·Miscellaneous·2014·EasyConsider the following statements pertaining to a frequency polygon of a frequency distribution of a continuous variable with seven class intervals of equal width : 1. The original frequency distribution can be reconstructed from the frequency polygon. 2. The frequency polygon touches the x-axis in its extreme right and extreme left. Which of the above statements is/are correct ?View question