Q.2917·Miscellaneous·2023·EasyConsider the following statements: Statement-I : The atmosphere is heated more by incoming solar radiation than by terrestrial radiation. Statement-II: Carbon dioxide and other greenhouse gases in the atmosphere are good absorbers of long wave radiation. Which one of the following is correct in respect of the above statements?View question
Q.2918·Miscellaneous·2023·EasyHow many consecutive zeros are there at the end of the integer obtained in the product 1^2 * 2^4 * 3^6 * 4^8 *....*25^50 ?View question
Q.2919·Miscellaneous·2022·EasyIf the point (x, y) is equidistant from the points (2a, 0) and (0, 3a) where a > 0, then which one of the following is correct?View question
Q.2920·Miscellaneous·2022·EasyThe plane 6x + ky + 3z − 12 = 0 (where k ≠ 0) meets the coordinate axes at A, B and C respectively. The equation of the sphere passing through the origin and A, B, C is: x² + y² + z² + 2x − 3y − 4z = 0 If p is the perpendicular distance from the centre of the sphere to the plane, then which one of the following is correct?View question
Q.2921·Miscellaneous·2022·EasyThe plane 6x + ky + 3z − 12 = 0 (where k ≠ 0) meets the coordinate axes at A, B and C respectively. The equation of the sphere passing through the origin and A, B, C is: x² + y² + z² + 2x − 3y − 4z = 0 What is the equation of the line through the origin and the centre of the sphere?View question
Q.2922·Miscellaneous·2022·EasyWhat are the direction ratios of a normal to the plane 2x + 3y + z = r, if it passes through the point (2, 3, -6)?View question
Q.2923·Miscellaneous·2022·EasyIf one of the diameters of the circle x^2 + y^2 - 4x + 6y = 12 is a chord of another circle having the centre at the origin and radius 3, then what is the length of this chord?View question
Q.2924·Miscellaneous·2022·EasyConsider the following statements : 1.Dot product over vector addition is distributive 2.Cross product over vector addition is distributive 3. Cross product of vectors is associative Which of the above statements is/are correct ?View question
Q.2925·Miscellaneous·2022·EasyThe mean and standard deviation (SD) of marks obtained by 50 students of a class in 4 subjects are given below : What is the coefficient of variation of marks in Mathematics?View question
Q.2926·Miscellaneous·2022·EasyThe total frequency is 120. The mean is 50. If the frequency of each class is doubled, then what would be the mean ?View question
Q.2927·Miscellaneous·2022·EasyTwo digits out of 1, 2, 3, 4, 5 are chosen at random and multiplied together. What is the probability that the last digit in the product appears as 0 ?View question
Q.2928·Miscellaneous·2022·EasyThe frequency curve (assuming unimodal) corresponding to the data obtained in an experiment is skewed to the left. What conclusion can be drawn from the curve ?View question
Q.2929·Miscellaneous·2022·EasyThe variance of five positive observations is 3.6. If four of the observations are 2, 4, 5, then what is the remaining observation ?View question
Q.2930·Miscellaneous·2022·EasyWhat is the arithmetic mean of 50 terms of an AP with first term 4 and common difference 4 ?View question
Q.2931·Miscellaneous·2022·EasyWhat is the coefficient of mean deviation of 21, 34, 23, 39, 26, 37, 40, 20, 33, 27 (taken from mean) ?View question
Q.2932·Miscellaneous·2022·EasyIf the algebraic sum of the deviations of the same set of values measured from y is 180, then what is the value of y?View question
Q.2933·Miscellaneous·2022·EasyThe marks obtained by 51 students in a class are in AP with its first term 4 and common difference 3. What is the mean of the marks?View question
Q.2934·Miscellaneous·2022·EasyThe marks obtained by 51 students in a class are in AP with its first term 4 and common difference 3. What is the median of the marks?View question