Q.3367·Miscellaneous·2022·EasyConsider the following statements: 1. In an equilateral triangle, the centroid and centre of circumcircle coincide. 2. Angle bisectors of a cyclic quadrilateral form another cyclic quadrilateral. 3. Every cyclic parallelogram is a rectangle. Which of the statements given above are correct?View question
Q.3368·Miscellaneous·2022·EasyABCD is a trapezium in which AB is parallel to DC. The vertices A, B, C and D pass through a circle. Which of the following are correct ? 1. AD = BC 2. ∠A + ∠C = 180° 3. ∠A + ∠D = 180° Select the correct answer using the code given belowView question
Q.3369·Miscellaneous·2022·EasyABCD is a cyclic quadrilateral. AB and DC when produced, meet in E. Which of the following statements is/are correct ? 1. △EBC is similar to △EAD. 2. ∠СВЕ + ∠DAE = 180°. Select the correct answer using the code given below:View question
Q.3370·Miscellaneous·2022·EasyThe data of different natural numbers 4, 7, 10, 14, 2x + 3, 2x + 5, 22, 23, 30, 50 are in ascending order. How many possible values are there for the median of the data for various values of x ?View question
Q.3371·Miscellaneous·2022·EasyIf M is the mean of the first 100 even natural numbers, then what is the mean of the first 100 odd natural numbers ?View question
Q.3372·Miscellaneous·2022·EasyMean marks of 50 students were found to be 78.4. But later it was detected that 95 was misread as 59 and 25 was misread as 52. What is the difference between correct mean and incorrect mean ?View question
Q.3373·Miscellaneous·2022·EasyConsider the following for the next three (03) items that follow : A triangle ABC with sides AB = 15 cm, BC = 9 cm, CA = 12 cm is inscribed in a circle. What is the radius of the circle ?View question
Q.3374·Miscellaneous·2022·EasyConsider the following for the next two (02) items that follow : The angle of elevation of a cloud at C from a point (P), H metres above the surface of a lake is 30°. The height of the cloud from the surface of the lake is 2H metres. Let 0 be the angle of depression of the reflection of the cloud in the lake from the point P. What is the value of θ ?View question
Q.3375·Miscellaneous·2022·EasyConsider the following for the next two (02) items that follow : The angle of elevation of a cloud at C from a point (P), H metres above the surface of a lake is 30°. The height of the cloud from the surface of the lake is 2H metres. Let 0 be the angle of depression of the reflection of the cloud in the lake from the point P. What is PC equal to ?View question
Q.3376·Miscellaneous·2022·EasyConsider the following for the next three (03) items that follow : A frequency distribution table is given below: Total frequency is 200 and mean of the distribution is 1.46 What is the value of p ?View question
Q.3377·Miscellaneous·2022·EasyConsider the following for the next three (03) items that follow : A frequency distribution table is given below: Total frequency is 200 and mean of the distribution is 1.46 What is the value of q ?View question
Q.3378·Miscellaneous·2022·EasyConsider the following for the next three (03) items that follow : A frequency distribution table is given below: Total frequency is 200 and mean of the distribution is 1.46 What is the median of the distribution ?View question
Q.3379·Miscellaneous·2022·EasyConsider the following for the next three (03) items that follow : A triangle ABC with sides AB = 15 cm, BC = 9 cm, CA = 12 cm is inscribed in a circle. What is cos²A + cos²B + cos²C equal to ?View question
Q.3380·Miscellaneous·2022·EasyWhat is the diameter of a circle inscribed in a regular polygon of 15 sides with side length unity ?View question
Q.3381·Miscellaneous·2022·EasyIf x is the harmonic mean between y and z, then which one of the following is correct ?View question
Q.3382·Miscellaneous·2022·EasyThe sum of deviations of a set of n values measured from 50 is - 10 and the sum of deviations of the values measured from 46 is 70. What is the mean of the values ?View question
Q.3383·Miscellaneous·2022·EasyConsider the following table in respect of students of 4 schools who appeared in a test: If the average marks of the students of all four schools are 58, then. how many students appeared from School-IV ?View question
Q.3384·Miscellaneous·2022·EasyConsider the following for the next two (02) items that follow : Consider the equation 6x² - 25x + 6/x² + 25/x + 12 = 0. What is one of the possible values of x - 1/x ?View question