Q.559·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.560·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.561·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.562·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 at least 2 ladies?View question
Q.563·Miscellaneous·2025·EasyThe sides of a triangle ABC are AB=3 cm, BC=5 cm and CA=7 cm. What is the area of the triangle?View question
Q.564·Miscellaneous·2025·EasyLet (x+y)p+q=x^p y^q, where p,q are positive integers. The derivative of y with respect to xView question
Q.565·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. What is the probability that the bonus scheme will be introduced?View question
Q.566·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.567·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.568·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.570·Miscellaneous·2025·EasyWhich one of the following statements about the Parliament of India is correct ?View question
Q.572·Miscellaneous·2025·EasyWhich one of the following statements about the Bhoodan Movement is correct ?View question
Q.573·Miscellaneous·2025·EasyIn British India, which one among the following Acts permitted detention without trial for up to two years?View question
Q.574·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.575·Miscellaneous·2025·EasyWhich one among the following does NOT figure among the Five Principles of Panchsheel ?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