Q.6193·Miscellaneous·2019·EasyLet x be the smallest positive integer such that when 14 divides x, the remainder is 7; and when 15 divides x, the remainder is 5. Which one of the following is correct?View question
Q.6194·Miscellaneous·2019·EasyConsider the following statements: 1. √75 is a rational number. 2. There exists at least a positive integer x such that (4x – 7)/5 < 8 3. (x – 2)/x < 1 for all real values of x. 4. 4·232323... can be expressed in the form p/q where p and q are integers. Which of the above statements are correct?View question
Q.6195·Miscellaneous·2019·EasyAll the four sides of a parallelogram are of equal length. The diagonals are in the ratio 1:2. If the sum of the lengths of the diagonals is 12 cm, then what is the area of the parallelogram?View question
Q.6196·Miscellaneous·2019·EasyThe perimeter of a triangle is 22 cm. Through each vertex of the triangle, a straight line parallel to the opposite side is drawn. What is the perimeter of triangle formed by these lines?View question
Q.6197·Miscellaneous·2019·EasyThe sides AD, BC of a trapezium ABCD are parallel and the diagonals AC and BD meet at O. If the area of triangle AOD is 3 cm² and the area of triangle BDC is 8 cm², then what is the area of triangle AOD?View question
Q.6198·Miscellaneous·2019·EasyA line segment AB is the diameter of a circle with centre at O having radius 6.5 cm. Point P is in the plane of the circle such that AP = x and BP = y. In which one of the following cases the point P does not lie on the circle?View question
Q.6199·Miscellaneous·2019·EasyThe perimeters of two similar triangles ABC and PQR are 75 cm and 50 cm respectively. If the length of one side of the triangle PQR is 20 cm, then what is the length of corresponding side of the triangle ABC?View question
Q.6200·Miscellaneous·2019·EasyLet PQRS be a parallelogram whose diagonals PR and QS intersect at O. If triangle QRS is an equilateral triangle having a side of length 10 cm, then what is the length of the diagonal PR?View question
Q.6201·Miscellaneous·2019·EasyThe areas of three adjacent faces of a cuboid are x, y and z. If V is the volume of the cuboid, then which one of the following is correct?View question
Q.6202·Miscellaneous·2019·EasyIf l is the length of the median of an equilateral triangle, then what is its area?View question
Q.6203·Miscellaneous·2019·EasyA piece of wire is in the form of a sector of a circle of radius 20 cm, subtending an angle 150° at the centre. If it is bent in the form of a circle, then what will be its radius?View question
Q.6204·Miscellaneous·2019·EasyLet two lines p and q be parallel. Consider two points B and C on the line p and two points D and E on the line q. The line through B and E intersects the line through C and D at A in between the two lines p and q. If AC:AD = 4:9, then what is the ratio of area of triangle ABC to that of triangle ADE?View question
Q.6205·Miscellaneous·2019·EasyAn equilateral triangle and a square are constructed using metallic wires of equal length. What is the ratio of area of triangle to that of square?View question
Q.6206·Miscellaneous·2019·EasyWhat is the ratio of the area of a square inscribed in a semicircle of radius r to the area of square inscribed in a circle of radius r?View question
Q.6207·Miscellaneous·2019·EasyA piece of wire of length 33 cm is bent into an arc of a circle of radius 14 cm. What is the angle subtended by the arc at the centre of the circle?View question
Q.6208·Miscellaneous·2019·EasyA square is drawn such that its vertices are lying on a circle of radius 201 mm. What is the ratio of area of circle to that of square?View question
Q.6209·Miscellaneous·2019·EasyIf the length of the hypotenuse of a right angled triangle is 10 cm, then what is the maximum area of such a right angled triangle?View question
Q.6210·Miscellaneous·2019·EasyThe length and breadth of a rectangle are increased by 20% and 10% respectively. What is the percentage increase in the area of the rectangle?View question