Q.3961·Miscellaneous·2022·EasyAn Identity Card has the number ABCDEFG, not necessarily in that order, where each letter represents a distinct digit (1, 2, 4, 5, 7, 8, 9 only). The number is divisible by 9. After deleting the first digit from the right, the resulting number is divisible by 6. After deleting two digits from the right of original number, the resulting number is divisible by 5. After deleting three digits from the right of original number, the resulting number is divisible by 4. After deleting four digits from the right of original number, the resulting number is divisible by 3. After deleting five digits from the right of original number, the resulting number is divisible by 2. Which of the following is a possible value for the sum of the middle three digits of the number?View question
Q.3962·Miscellaneous·2022·EasyTwo friends X and Y start running and they run together for 50 m in the same direction and reach a point. X turns right and runs 60 m, while Y turns left and runs 40m. Then X turns left and runs 50m and stops, while Y turns right and runs 50 m and then stops. How far are the two friends from each other now?View question
Q.3964·Miscellaneous·2022·EasyA bill for 1,840 is paid in the denominations of 50, 20 and 10 notes. 50 notes in all are used. Consider the following statements: 1. 25 notes of 50 are used and the remaining are in the denominations of 20 and 10. 2. 35 notes of 20 are used and the remaining are in the denominations of 50 and 10. 3. 20 notes of 10 are used and the remaining are in the denominations of 50 and 20. Which of the above statements are not correct?View question
Q.3965·Miscellaneous·2022·EasyWhich number amongst 240, 321, 418 and 812 is the smallest?View question
Q.3966·Miscellaneous·2022·EasyConsider the Question and two Statements given below: Question: Is x an integer? Statement-1: x/3 is not an integer. Statement-2: 3x is an integer. Which one of the following is correct in respect of the Question and the Statements?View question
Q.3967·Miscellaneous·2021·EasyWhat is the mean of natural numbers contained in the interval [15, 64]?View question
Q.3968·Miscellaneous·2021·EasySeven white balls and three black balls are randomly placed in a row. What is the probability that no two black balls are placed adjacently?View question
Q.3969·Miscellaneous·2021·EasyIf A and B are two events such that P(not A) = 7/10, P(not B) = 3/10 and P(A|B) = 3/14, then what is P(B|A) equal to?View question
Q.3970·Miscellaneous·2021·EasyWhat is the maximum area of a rectangle that can be inscribed in a circle of radius 2 units?View question
Q.3971·Miscellaneous·2021·EasyABCDEFGH is a cuboid with base ABCD. Let A(0, 0, 0), B(12, 0, 0), C(12, 6, 0) and G(12, 6, 4) be the vertices. If α is the angle between AB and AG; β is the angle between AC and AG, then what is the value of cos2α + cos2β?View question
Q.3972·Miscellaneous·2021·EasyThe number of spheres of radius r touching the coordinate axes isView question
Q.3973·Miscellaneous·2021·EasyWhere does the tangent to the curve y = e^x at the point (0, 1) meet x-axis?View question
Q.3974·Miscellaneous·2021·EasyConsider the following statements in respect of the function f(x) = x + 1/x : 1. The local maximum value of f(x) is less than its local minimum value. 2. The local maximum value of f(x) occurs at x = 1. Which of the above statements is/are correct?View question
Q.3975·Miscellaneous·2021·EasyWhat is the order of the differential equation of all ellipses whose axes are along the coordinate axes?View question
Q.3976·Miscellaneous·2021·EasyTwo regression lines are given as 3x -4y+8=0 and 4x - 3y– 1= 0. Consider the following statements : 1. The coefficient of correlations r is 3/4. 2. The means of x and y are 3 and 4 respectively. Which of the above statements is/are correct?View question
Q.3977·Miscellaneous·2021·EasyTwo regression lines are given as 3x − 4y + 8 = 0 and 4x − 3y − 1 = 0. Consider the following statements : 1. The regression line of y on x is y = (3/4)x + 2 . 2. The regression line of x on y is x = (3/4)y + 1/4 . Which of the above statements is/are correct?View question
Q.3978·Miscellaneous·2021·EasyIn a cricket match, a batsman hits a six 8 times out of 60 balls he plays. What is the probability that on a ball played he does not hit a six?View question