@varun.tyagi said: I have explained it earlier also Basically we have to find an A.P. such that the sum of the numbers = 600Let the first term = a which should be a positive number,Common difference = 1 and Number of terms = n=> Sum of this A.P. = n*(2a + n - 1)/2 = 600 = 2^3 * 3 * 5^2=> Now we have to express 600 into product of two numbers which is equal to number of factors = 4*2*3 = 24 waysBut we have to take care of few things here.1.) If n is odd, (2a + n - 1) must be even (because there is a 2 in the denominator)2.) If n is even, (2a + n - 1) must be odd3.) n should be greater than 24.) 'a' must be a positive integerFrom condition 1 and 2, we can safely say that we have to find the number of odd factors of 600 = 6. But there will be a case when n = 1, which is not allowedSo total ways = 6 - 1 = 5P.S. Enjoying my trip in Kerala. Really the god's own country

@sumeet1489 said: 96 should be the ans.

@pyashraj said: @sumeet1489 Infinite??

@sumeet1489 said: 96 should be the ans.

@RaghavMittal said: How many perfect squares are the divisors of 15! ?? A. 60B. 72C. 96D. 108E. 112

@nidaparveen said: oa 2 Pi (2 + _/3)/ _/3@swamyanarayanancan you please elaborate..

@anshulagrawala said: A bacterium doubles in a day. A bacterium is kept in a container. After 10 days the container is completely filled with bacteria. How much time will take to half fill the container??

@PURITAN said: can u please share the solution sir, i am not sure of the answer

@nidaparveen said: three equal circles of radius 1 cm are circumscribed by a larger circle.Find the perimeter of the circumscribing circle.

@nidaparveen said: three equal circles of radius 1 cm are circumscribed by a larger circle.Find the perimeter of the circumscribing circle.

@Predilected said: wts logic behind taking..odd no. of terms??

@anshulagrawala said: A bacterium doubles in a day. A bacterium is kept in a container. After 10 days the container is completely filled with bacteria. How much time will take to half fill the container??

@anshulagrawala said: A bacterium doubles in a day. A bacterium is kept in a container. After 10 days the container is completely filled with bacteria. How much time will take to half fill the container??

@sowmyanarayanan said: i got it as 98878. is it right?

@Vinaysastra said: It would be great if you could xplain how 21... I followed the same steps as @FoolNFinal .. Putting n=21 m getting A/B=13/2 But if i put n-13i get A/B=8/1 So shoudnt 13 be the ans?

@Aizen said: sn = 1+5+14+28+47 + ....+tn sn = 1+5 +14+28+ ... +tn-1 +tn [Shift it by 1] Subtract.. 0 = 1+(4+9+14+19+... (n-1) terms) - tn [See in brackets the terms are in AP] => tn =1 + (n-1)/2*(2*4 +(n-2)*5) Now multiply and get tn in form of n. Just do sigma over 1 to 10. p.s: __/\__ @gs4890 bhai , @sumeet1489 bhai aur sabhi quant maharathi ...

@ashish100 said: Bhai log mera to 13 hi aa raha hain which is not in option jara dekho to ...take AB as 81 and n=13then (AB)n=(81)13=105and5(BA)n=5*(18)13=5*21=105so n=13 shoiuld be answersorry for posting two posts ...making correctionthe new PG doesn't have edit option

but objective exams me sahi OPTION choose karna hota hai... sahi ans nahi :)

@FoolNFinal said: ye time ki test ka prblem hai na ???? (AB)n = An + B5(BA)n = 5Bn + 5A ... equate both eq..An + B = 5Bn + 5A A/B = (5n-1)/(n-5)now we have to find such value of n for which n>A,Boptions put kar k dekh lo kon si value satiesfy karti hai

@Faruq said: @FoolNFinal @sumeet1489 @ashish100 @pyashraj Ans is D

@ashish100 said: Bhai log mera to 15 hi aa raha hain which is not in option jara dekho to ...take AB as 81 and n=13then (AB)n=(81)13=105and5(BA)n=5*(18)13=5*21=105so n=13 shoiuld be answer

@ashish100 said: Bhai log mera to 15 hi aa raha hain which is not in option jara dekho to ...take AB as 81 and n=13then (AB)n=(81)13=105and5(BA)n=5*(18)13=5*21=105so n=13 shoiuld be answer

@ashish100 said: getting 13 as OAAn+B =5Bn +5Asolve for n .....A,B comes out to be 8,1 or AB is 81 and n is 13

Bhai log mera to 15 hi aa raha hain which is not in option

@Faruq said: If AB is a two digit number in base n such that (AB)n = 5(BA)n, which of the following is a possible value of n? 12/14/16/21

@Faruq said: If AB is a two digit number in base n such that (AB)n = 5(BA)n, which of the following is a possible value of n? 12/14/16/21

@Faruq said: Thanks @culdip Bhai Please solve this one too. If AB is a two digit number in base n such that (AB)n = 5(BA)n, which of the following is a possible value of n? 12/14/16/21

@Faruq said: Thanks @culdip Bhai Please solve this one too. If AB is a two digit number in base n such that (AB)n = 5(BA)n, which of the following is a possible value of n?

@Faruq said: On certain planet, there are seven days in a week - Sunday through Saturday. Also, each hour on this planet comprises exactly 60 minutes, just as on earth. However, each day on this planet comprises only 18 hours, when compared to the 24 hours on Earth. Therefore, the dials on the clocks on the planet are designed to show only 9 hours instead of the 12 hours shown on the clocks on Earth. On how many occasions between 9 pm on Monday and 9 am on Wednesday are the minutes hand and the hours hand of such a clock diametrically opposite each other?

@victor11 said: Q.1 If a number N= 2* 3^3 * 5^2. In how many ways can N be expressed as a difference of two perfect squares? Q.2 If N= 2^2 * 3^3 * 5^2. Find out the sum of all those factors of N which are completely divisible by 15. Kindly reply with explanations.

@Stoicalme said: @addikted @sumeet1489 Answer is B.Approach please.

Q.1 If a number N= 2* 3^3 * 5^2. In how many ways can N be expressed as a difference of two perfect squares?

Q.2 If N= 2^2 * 3^3 * 5^2. Find out the sum of all those factors of N which are completely divisible by 15.

Kindly reply with explanations.

@Stoicalme said: @ashish100 Bhai,sorry lekin question a^2 * b^2 tha.Check the later posts. But thanks anyway.

@sowmyanarayanan said: CAT 1998 You can collect Rubies and Emralds as many as you can. Each Ruby is worth 4 Crores and each Emrald is worth 5 Crores. Each Ruby weighs 0.3kg and each emrald weighs 0.4kg. Your bag can carry at most 12kg. What you should collect to get maximum wealth? a) 20R and 15E b) 40R c) 28R and 9E d) None of these Can someone explain the above with solution? Since the answer cjoice has 'None of these' i was not able to pick one from the top three. please help.

@ashish100 said: question is :1) a and b are natural numbers such that a > b > 1. If 8! is divisible by a^2 Ä‚ €” b^2, then how many such sets (a, b) are possible?a 5b 6c 7d 8

@Stoicalme said: Q) Two ships sail in a fog towards each other with the same speed.When they are 4 kms apart,the captains decelerate the engines for 4 minutes with a deceleration rate of 0.1m/s^2,and then the ships continue sailing with the speeds attained.For what range of values of the initial speed V0(subscript) will the ships avoid collision?A) 0<10m/sB)0<20m/sC)0<30m/sD)N.O.TE)CBD

@Stoicalme said: Let x be the the area of the circle outside the square.Also, x will be the area of the square outside the circle. Let y be the area of remaining portion of the circle.Area of circle=x + ypi * r^2=x + yalso, Area of square=x + yArea of square=pi *r^2

@ashish100 said: question is :1) a and b are natural numbers such that a > b > 1. If 8! is divisible by a^2 Ä‚ €” b^2, then how many such sets (a, b) are possible?a 5b 6c 7d 8

@chevy said: A square intersects a circle at eight distinct points such that the area of the circle outside the square is equal to the area of the square outside the circle. If the radius of the circle is €˜r €™, then the area of the square is a) root(2) pi r^2 b) 2 pi r^2 c) 3/2 r^2 d)none f dese