TS Police SI Mains 2018 Arithmetic and Reasoning

The greatest five digit number which is a perfect square is

$$16^{2}+17^{2}+18^{2}+.....30^{2}$$

Four persons A, B, C, D can be around a track in 24, 48, 60 and 96 seconds respectively. All of them start at point p on the track simultaneously. When they meet at point p at second time the number of rounds made by C is

If n is any odd integer greater than 1 then the largest natural number among the following that certainly divides $$n(n^2 - 1)$$

The total number of divisors of $$2^53^45^3$$ is (including 1 and the number given)

Two positive integers x, y have their g.c.d =12 and l.c.m. = 5184. If x, y > 12, then x + y = 

The traffic lights at three different road crossings respectively change after every45 seconds, 75 seconds and 100 seconds. [fall the traftic lights changesinultancously at 9:25:00 hours, then the timeat whichthe lights again change simultaneously

L.C.M. of two prime numbers a and b, (a > b) is 319. Then, a - 2b =

The least number which when divided by numbers 12, 16, 20, 25 leaves 4 as remainder but when divided by 7 leaves no remainder is

The sum of two numbers is 125.Their H.C.F and L.C.M are respectively 25 and 150. Then the sum of their reciprocals is