[Official] Quant Thread for 2015!

The sum of four consecutive two-digit odd numbers, when divided by 10, becomes a perfect square. Which of the following can possibly be one of these four numbers?

A)41

B)21

C)25

D)67

Kindly provide the approach too.

Puys, Please share the Google Drive link for BYJU videos if anyone is having them.


Find the number of unequal positive integer solution sets of ordered pair (m,n) such that

1/m+1/n=1/143 ??

@Going_High@s.goel4991

Euclid has a triangle inmind. Itslongestside haslength 20 and another of itssides haslength 10.Its area is 80.
What is the exact length of its third side?  P.S no OA…

  • square root of 250
  • square root of 260
  • square root of 240
  • square root of 270

0 voters

@kittuboy  @s.goel4991  @Going_High 

. If x, y, z are the angles (in degrees) of the triangle ABC, where x, y, z are integers, then what is the number of
values that (x - y - z) can take?  P.S no OA

  • 177
  • 90
  • 179
  • 178

0 voters

Let P be a polynomial of odd degree satisfying the identity :

P ( x^2 -1 ) = [ P(x) ]^2 - 1

P(2) = 2 , find P(9)

Find the number of ordered pairs of integers for :

x^2 + y^2 - xy = 727 

In a neighbourhood consisting of 150 people, 66 drink tea, 45 drink coffee and 42 drink ice-tea. 27 people drink exactly 2 of the 3 beverages. 3 people drink all 3 beverages. How many people in the neighbourhood drink none of the three beverages? 

At an election meeting 10 speakers are to address the meeting. The only protocol to be observed is that whenever they speak P.M speaks before M.P, and M.P speaks before M.L.A. In how many ways can it be done?

A fair coin is tossed 12 times. What is the probability of a tail occurring as many times in the first 7 throws, as in the last 5 ?

The perimeter of a triangle , having side(in cm) as an integer,is 24 . What is the minimum area possible of such a triangle ?

find the remainder

89^79^69^59/973

please post the answer with solution...

A and B are two stations. Train P started from A towards B at 6:00 a.m at 90 kmph. At the same time, train Q started from C, an intermediate station 60 km from A, and travelled towards B at 60 kmph, Train R started from B towards A at 7:00 a.m at 120 kmph. All the trains crossed each other simultaneously. Find AB(in km).

If abc are integers such that a,b,c is  greather than -20  and less than 50 and a + b + c = 30, what is the maximum possible value of abc?

123456789101112....100101102103 mod 91

The sum of the first 100 terms of the series 1^2 + 2 x 2^2 + 3^2 + 2 x 4^2 + 5^2 + 2 x 6^2 + 7^2 + 2 x 8^2 + ... is  ????

f(x)=x^4 +x^3 + x^2 + x +1. find the remainder when f(x^5) is divided by f(x). given : x>1

Two points are selected at random on the circle x^2+y^2=(3/pie)^2.Find the probability that the length of minor arc determined by them is not more than 1 unit.

a)1/2 b)1/3 c)1/5 d) 1/8

Using the digits 2,3,4,5 and 6,find the following:

sum of all 5 digit numbers that can be formed such that no two digits are same? Approach please

In how many points do the graph of y = mod (x^2-2x-80) and y =81 intersect ????