Q.559·Miscellaneous·2025·EasyA function f is such that f(xy)=f(x)+f(y) for all real values of x and y, and f(5)=10. What is f(0) equal to?View question
Q.560·Miscellaneous·2025·EasyHeight (in cm) Number of Students 160-162 12 162-164 15 164-166 24 166-168 13 What is the total number of students whose height is less than or equal to 165 cm?View question
Q.561·Miscellaneous·2025·EasyThe sum and the sum of squares of the observations corresponding to length X (in cm) and weight Y (in gm) of 50 tropical tubers are given as ∑X=200, ∑Y=250, ∑X^2=900 and ∑Y^2=1400.View question
Q.562·Miscellaneous·2025·EasyThe sum and the sum of squares of the observations corresponding to length X (in cm) and weight Y (in gm) of 50 tropical tubers are given as ∑X=200, ∑Y=250, ∑X^2=900 and ∑Y^2=1400. Which one of the following statements is correct?View question
Q.563·Miscellaneous·2025·EasyWhich one among the following does NOT figure among the Five Principles of Panchsheel ?View question
Q.564·Miscellaneous·2025·EasyLet X be a random variable following binomial distribution with parameters n=6 and p=k. Further, 9P(X=4)=P(X=2). What is the value of k?View question
Q.565·Miscellaneous·2025·EasyThe most appropriate graphical representation of the given frequency distribution isView question
Q.566·Miscellaneous·2025·EasyLet X be a random variable following binomial distribution with parameters n=6 and p=k. Further, 9P(X=4)=P(X=2). What is the value of P(X=3)?View question
Q.567·Miscellaneous·2025·EasyConsider the following statements in respect of a vector d = (a×b)×c : I. d is coplanar with a and b. II. d is perpendicular to c. Which of the statements given above is/are correct?View question
Q.568·Miscellaneous·2025·EasyThe arithmetic mean of 100 observations is 50. If 5 is subtracted from each observation and then divided by 20, then what is the new arithmetic mean?View question
Q.569·Miscellaneous·2025·EasyA committee of 6 members is formed from a group of 7 gentlemen and 4 ladies. What is the probability that the committee includes exactly 3 gentlemen?View question
Q.571·Miscellaneous·2025·EasyThe function f(x) satisfies f(y)f(x)=yx for all positive real values of x and y, and f(2)=3. What is f(1)/f(4) equal to?View question
Q.572·Miscellaneous·2025·EasyWhich one of the following statements about the Bhoodan Movement is correct ?View question
Q.573·Miscellaneous·2025·EasyThe Constitution (Seventy-third Amendment) Act provides forView question
Q.574·Miscellaneous·2025·EasyIn British India, which one among the following Acts permitted detention without trial for up to two years?View question
Q.576·Miscellaneous·2025·EasyThe slope of the tangent to the curve y=f(x) at (x,f(x)) is 4 for every real number x and the curve passes through the origin. What is the nature of the curve? What is the nature of the curve?View question