Q.1369·Miscellaneous·2024·EasyIf P is the area of the smallest sector and Q is the area of the largest sector, then what is P + Q equal to?View question
Q.1370·Miscellaneous·2024·EasyA circle touches all the four sides AB, BC, CD, DA of a quadrilateral ABCD. Question: What is the perimeter of the quadrilateral? Statement-I: AB + DC = 10 cm Statement-II: AD + BC = 10 cmView question
Q.1371·Miscellaneous·2024·EasyP, Q, R, S are the mid-points of sides AB, BC, CD, DA respectively of a quadrilateral ABCD. Question: What is the difference in the area of the quadrilateral ABCD and the area of the quadrilateral PQRS? Statement-I: Area of the quadrilateral ABCD is 100 square unit. Statement-II: Area of the quadrilateral PQRS is 50 square unit.View question
Q.1372·Miscellaneous·2024·EasyArea of a rectangle with length x and breadth y is P and area of a parallelogram (which is strictly not a rectangle) with adjacent sides of length x and y is Q. Question: Is P > Q? Statement-I: x : y = 2 : 1 Statement-II: The angle between the two adjacent sides of the parallelogram is 60°.View question
Q.1373·Miscellaneous·2024·EasyTwo trains A and B started from stations P and Q respectively towards each other. Train A started at 7 p.m. at a speed of 60 km/hr and train B started at 4 a.m. (next day) at a speed of 90 km/hr. The distance between the two stations P and Q is 800 km. How far from station Q will the two trains meet?View question
Q.1374·Miscellaneous·2024·EasyA triangle CEF is drawn inside a square ABCD as shown in the figure given below. Given: CF = 8 cm, EF = 6 cm and CE = 10 cm. What is the area of triangle CDE?View question
Q.1375·Miscellaneous·2024·EasyConsider two identical semicircles and one circle inscribed in a rectangle of length 10 cm as shown in the figure given below. (Take π = 3·14 and 2=1.4\√2 = 1.4 2 = 1.4 ) What is the area of trapezium AEFB ?View question
Q.1376·Miscellaneous·2024·EasyQuestion: What is the ratio of the lengths of diagonals of a rhombus? Statement-I: One diagonal of the rhombus is equal to its side. Statement-II: The longer diagonal of the rhombus is equal to √3 times its side.View question
Q.1377·Miscellaneous·2024·EasyConsider two identical semicircles and one circle inscribed in a rectangle of length 10 cm as shown in the figure given below. (Take π = 3·14 and 2=1.4\√2 = 1.4 2 = 1.4 ) What is the area of triangle EOF ?View question
Q.1378·Miscellaneous·2024·EasyLet a, b, c and d be positive integers. Question: Which one of a, b, c, d is closest to the product abcd? Statement-I: a > b > c Statement-II: c is not the smallest.View question
Q.1379·Miscellaneous·2024·EasyLet a, b and c be the sides of a triangle ABC. Question: Is the triangle equilateral? Statement-I: a² + b² + c² = (ab + bc + ca) Statement-II: 3a² + 3b² + 4c² = 2ab + 4bc + 4caView question
Q.1380·Miscellaneous·2024·EasyThe chord of a circle of radius R touches at a point on the circumference of a concentric circle of radius r. The length of the chord is 24 units. Question: What are the values of r and R? Statement-I: r is an integer. Statement-II: R is an integer.View question
Q.1381·Miscellaneous·2024·EasyTwo trains A and B started from stations P and Q respectively towards each other. Train A started at 7 p.m. at a speed of 60 km/hr and train B started at 4 a.m. (next day) at a speed of 90 km/hr. The distance between the two stations P and Q is 800 km. At what time will the two trains meet?View question
Q.1382·Miscellaneous·2024·EasyThe speeds of four cars are 2u, 3u, 4u and xu and the time taken by them to cover the same distance is xt, 4t, 3t and 2t respectively, where x, u, t are real numbers. What is the value of x ?View question
Q.1383·Miscellaneous·2024·EasyIf the difference between the interior and exterior angles of a regular polygon is 144°, then what is the number of sides of the polygon ?View question
Q.1384·Miscellaneous·2024·EasyIf p, q and r are the lengths (in cm) of the sides of a right-angled triangle, then (p - q – r)(q – r – p)(r – p - q) is alwaysView question
Q.1385·Miscellaneous·2024·EasyLet ABCD be the diameter of a circle of radius 6 cm. The lengths AB, BC and CD are equal. Semi-circles are drawn with AB and BD as diameters as shown in the figure given below. What is the ratio of the area of the shaded region to that of the non-shaded region ?View question
Q.1386·Miscellaneous·2024·EasyThe cost price of y articles is equal to selling price of z articles. If y : z = 5 : 4, what is the profit percentage?View question