Q.2917·Miscellaneous·2023·EasyThree numbers x, y, z are selected from the set of the first seven natural numbers such that x > 2y> 3z. How many such distinct triplets (x, y, z) are possible?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·EasyConsider the following grouped frequency distribution: What is mean deviation about the median?View question
Q.2920·Miscellaneous·2022·EasyConsider the following grouped frequency distribution: What is the mean deviation about the mean?View question
Q.2921·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.2922·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.2923·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.2924·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.2925·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.2926·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.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·EasyWhich one of the following metals is most commonly used for making filament of incandescent electric bulbs?View question
Q.2933·Miscellaneous·2022·EasyThe coefficient of correlation between ages of husband and wife at the time of marriage for a given set of 100 couples was noted to be 0.7. Assume that all these couples survive to celebrate the silver jubilee of their marriage. The coefficient of correlation at that point of time will be:View question
Q.2934·Miscellaneous·2022·EasyThe completion of a construction job may be delayed due to strike. The probability of strike is 0.6. The probability that the construction job gets completed on time if there is no strike is 0.85 and the probability that the construction job gets completed on time if there is a strike is 0.35. What is the probability that the construction job will not be completed on time?View question