Q.559·Miscellaneous·2025·EasyA square is inscribed in a circle x2+y2+2x+2y+1=0 and its sides are parallel to coordinate axes. Which one of the following is a vertex of the square?View question
Q.560·Miscellaneous·2025·EasyThe probabilities that A, B and C become managers are 3/10, 1/2 and 4/5 respectively. The probabilities that bonus scheme will be introduced if A, B and C become managers are 4/9, 2/9 and 1/3 respectively. If the bonus scheme has been introduced, then what is the probability that the manager appointed was B?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. Which one of the following statements is correct?View question
Q.562·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.563·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.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 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(16) equal to?View 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·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.568·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.569·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
Q.570·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·EasyWhat is the area bounded by the curve, the x-axis and the line x = 4?View question
Q.574·Miscellaneous·2025·EasyThe position vectors of three points A,B and C are a,b and c respectively such that 3a - 4b + c =0. What is AB:BC equal to?View question
Q.575·Miscellaneous·2025·EasyWhich one of the following statements about the Parliament of India is correct ?View question
Q.576·Miscellaneous·2025·EasyMaize (makka) was introduced into India in the seventeenth century viaView question