how to find cube of a number using formula

Another solution : [(n(n+1)/2)^2]-[(n(n-1)/2)^2]

Three people Mike, John and Peter can do a work together in 30 days. Mike and John together do twice the work done by Peter alone. Mike and Peter together do thrice the work done by John alone. Find the time taken to complete the project if John alone was working.

let mike, john and peter take a,b,c days to complete a work. then, 1/a+1/b+1/c=1/30... (i) again, 1/a+1/c= 3/b ..... (ii) put (ii) in (i) 4/b= 1/30 or b= 120 days

how to find HCF of fractions ?

hcf of numerator / lcm of denominator

But u should use the below formula after completely simplifying all the fractions

Vinay's hobbies are to swim, to run and to ride a bicycle. Why is this sentence wrong?

parallelism mistake ride a bike should come first

the sentences mentions the hobbies of vinay which should be nouns, like swimming, running etc. but here it is described as a verb which is wrong

how do i solve para jumbles

Hi Ashwin, There are few concepts to keep in mind while attempting Para Jumbles. 1. Try to find Main Point of the paragraph. Every paragraph has an idea or a soul which should be identified. The sentences when constructed in the correct order reflect that idea. Try to find that idea and see what role a particular sentence will play in depicting the entire picture. Then arrange them accordingly to make paragraph coherent. 2. Try to see verbal connectives and logical connectives. These give hints regarding the sentences which follow and help in constucting a paragraph logically. 3. Try to see analogies as they should proceed with real life examples. Hope this will help you. All the best.

Only a single rail track exists between stations A and B on a railway line. One hour after the northbound super fast train N leaves station A for station B, a south-bound passenger train S reaches station A from station B. The speed of the super fast train is twice that of a normal express train E, while the speed of a passenger train S is half that of E. On a particular day, N leaves for B from A, 20 min behind the normal schedule. In order to maintain the schedule, both N and S increased their speeds. If the super fast train doubles its speed, what should be the ratio (approximately) of the speeds of passenger train to that of the super fast train so that the passenger train S reaches exactly at the scheduled time at A on that day? A 1 : 3 B 1 : 4 C 1 : 5 D 1 : 6

it should be 3:17 which is approximately 1: 6

Remainder 93! Mod 97 ?

97 is prime number,so we can apply wilsons theorem here. 93!=(97-4)!, so According to Wilson's theorem, (P-4)!/p=k where P is of 6k+1 form,(P-4)!/p=p-k where p is of form 6k-1 Here 97=6(16)+1So the remainder is 16.

Any tips for parajumbles?

Hi Shubham, There are few concepts to keep in mind while attempting Para Jumbles. 1. Try to find Main Point of the paragraph. Every paragraph has an idea or a soul which should be identified. The sentences when constructed in the correct order reflect that idea. Try to find that idea and see what role a particular sentence will play in depicting the entire picture. Then arrange them accordingly to make paragraph coherent. 2. Try to see verbal connectives and logical connectives. These give hints regarding the sentences which follow and help in constucting a paragraph logically. 3. Try to see analogies as they should proceed with real life examples. Hope this will help you. All the best.

Probability of selecting a leap year at random?

1/4......leap year comes once in 4 years

If a7! + b8! + c9! + d10! = x, where a, b, c and d are natural numbers that are not multiples of 10, then how many distinct values of unit’s digit of x are possible?

it could be written as 7!(a+8b+72c+720d) so the expression is a multiple of 7!..... since 7!=5040 any multiple of 7! will have 0 as units digit therefore only one value of units digit is possible