At what time, in minutes, between `3\ o^(prime)c loc k` and `4\ o^(prime)c loc k` , both the needles will coincide each other? `5 1/(11)^"p a s t` (b) `12 4/(11)^"\ p a s t` (c) `13 4/(11)^"\ p a s t` (d) `16 4/(11)^"\ p a s t`

At what time between 9 and 10 o^(prime)c loc k will the hands of a watch be together? (a) 45 min. past 9 (b) 50 min. past 9 (c) 49 1/(11) m indotp a s t 9 (d) 48 2/(11) m indotp a s t 9

At what time between 4 and 5 o^(prime)c loc k will the hands of a watch point in opposite directions? (a) 45 min. past 4 (b) 40 min. past 4 (c) 50 4/(11) m indotp a s t 4 (d) 54 6/(11) m indotp a s t 4

A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o^(prime)c loc k , the true time is 59 7/(12) m indotp a s t 3 (b) 4 p.m. 58 7/(11)m indotp a s t 3 (d) 2 3/(11) m indotp a s t 4

Let P be the set of prime numbers and let S={t|2^(t)-1 is a prime }. Prove that S sub P.

If A , B ,\ C are three mutually exclusive and exhausitive events of an experiment such that 3P(A) = 2P(B) = P(C),\ t h e n\ P(A) is equal to a. 1/(11) b. 2/(11) c. 5/(11) d. 6/(11)

lf r, s, t are prime numbers and p, q are the positive integers such that their LCM of p,q is r^2 t^4 s^2, then the numbers of ordered pair of (p, q) is (A) 252 (B) 254 (C) 225 (D) 224

lf r, s, t are prime numbers and p, q are the positive integers such that their LCM of p,q is r^2 t^4 s^2, then the numbers of ordered pair of (p, q) is (A) 252 (B) 254 (C) 225 (D) 224

lf r, s, t are prime numbers and p, q are the positive integers such that their LCM of p,q is r^2 t^4 s^2, then the numbers of ordered pair of (p, q) is (A) 252 (B) 254 (C) 225 (D) 224

lf r, s, t are prime numbers and p, q are the positive integers such that their LCM of p,q is r^2 t^4 s^2, then the numbers of ordered pair of (p, q) is (A) 252 (B) 254 (C) 225 (D) 224