Q.3007·Miscellaneous·2022·EasyAt which among the following Harappan sites are fire altars found?View question
Q.3008·Miscellaneous·2022·EasyWho among the following has described the medieval Indian postal system as of two kinds—the horse-post called ‘Uluq’ and the foot-post called ‘Dawa’?View question
Q.3009·Miscellaneous·2022·EasyWhich one of the following rivers in India was not crossed by Alexander and his army?View question
Q.3010·Miscellaneous·2022·EasyConsider the following statements: 1. The degree of the differential equation dy/dx + cos(dy/dx) = 0 is 1. 2. The order of the differential equation [(d²y/dx²)³ + cos(dy/dx)] = 0 is 2. Which of the statements given above is/are correct?View question
Q.3011·Miscellaneous·2022·EasyWhat is the area of the region bounded by x – |y| = 0 and x – 2 = 0?View question
Q.3012·Miscellaneous·2022·EasyIf y = (x^x)^x, then which one of the following is correct?View question
Q.3013·Miscellaneous·2022·EasyIf f(x) = 4x + 1 and g(x) = kx + 2 such that fog(x) = gof(x), then what is the value of k?View question
Q.3014·Miscellaneous·2022·EasyLet z = [y] and y = [x] – x, where [.] is the greatest integer function. If x is not an integer but positive, then what is the value of z?View question
Q.3015·Miscellaneous·2022·EasyThe formation of ‘tors’ on small rocky hills is associated with which among the following?View question
Q.3016·Miscellaneous·2022·EasyThe position vectors of vertices A, B and C of triangle ABC are respectively j + k , 3 i + j + 5 k and 3 j + 3 k . What is angle C equal to?View question
Q.3017·Miscellaneous·2022·EasyLet a and b are two unit vectors such that a + 2 b and 5 a – 4 b are perpendicular. What is the angle between a and b ?View question
Q.3018·Miscellaneous·2022·EasyPQRS is a parallelogram. If PR = a and QS = b , then what is PQ equal to?View question
Q.3019·Miscellaneous·2022·EasyConsider the following statements: 1. The direction ratios of y-axis can be <0, 4, 0> 2. The direction ratios of a line perpendicular to z-axis can be <5, 6, 0> Which of the statements given above is/are correct?View question
Q.3020·Miscellaneous·2022·EasyA plane cuts intercepts 2, 2, 1 on the coordinate axes. What are the direction cosines of the normal to the plane?View question
Q.3021·Miscellaneous·2022·EasyConsider the points A(2, 4, 6), B(–2, –4, –2), C(4, 6, 4) and D(8, 14, 12). Which of the following statements is/are correct? 1. The points are the vertices of a rectangle ABCD. 2. The mid-point of AC is the same as that of BD. Select the correct answer using the code given below:View question
Q.3022·Miscellaneous·2022·EasyWhat is the equation of the locus of the mid-point of the line segment obtained by cutting the line x + y = p, (where p is a real number) by the coordinate axes?View question
Q.3023·Miscellaneous·2022·EasyIf xy = 4225 where x, y are natural numbers, then what is the minimum value of x + y?View question
Q.3024·Miscellaneous·2022·EasyIf the derivative of the function f(x) = m/x + 2nx + 1 vanishes at x = 2, then what is the value of m + 8n?View question