[Official] Quant Thread for 2015!

How many natural numbers having less than 4 digits can be formed such that the sum of the digits is less than 10???

The digit in the unit's place of the remainder when 79^ ( 97^79) is divided by 36^ (63^36) is?

A five year old kid was stacking blocks in the shape of a pyramid whose base is in the shape of a rectangle 18 blocks by 12 blocks.Each block above the first level rests in a pocket formed by 4 blocks below.The stack is completed by single row of spherical blocks. How many blocks are there in the pyramid in the top six rows?

Options:

215

216

217

218

two cards are randomly selected from a pack of 52 cards without replacement. Find the probability that the first card is a King and the second a Jack. 

(4/52) * (4/51) or 4*4/52c2

@scrabbler @psycho.munna please explain as well i am really confused

20 people are sitting in a circle. three are selected at random, what is the probability that none of those selected were next to each other?? @psycho.munna @scrabbler 

Number of integral points inside the circle x^2+y^2=16??

Suresh has a wooden board in the shape of a triangle with sides 6 cm, 8 cm and 10 cm. He rotates the board around one of its sides by moving the vertex opposite that side. What is the minimum volume (in cm3 )of the region formed by the rotation of the board?

The largest possible sphere is inscribed inside a cone of radius 14 cm and height 48 cm. In the space remaining, another largest possible sphere is inscribed. Which of the following is closest to the radius of the second sphere?

(123412341234............300 digits) /7 find the remainder 

Out of 20 consecutive natural numbers, in how many ways can 4 numbers be selected, such that any two among the selected numbers differ by at least 3?

a) 20C3/3
b) 17C4
c) 23C4 d) 14C4

g(x)=|(ax)^m|+c

h(x)=|(bx)^(m+1)|+c

x belongs to [-10,10]-{0}

a,m belongs to natural number.


If g(x) is greater than h(x) for at most 5% of the possible values of 'x', the number of values that 'a' can have is

a   1

b  0

c  3

d  4

How to complete all tpics n quant within this month .can u people suggest some tips

For a positive integer n, let p denote the product of the digits of n and s denote the sum of the digits of n. The number of integers between 100 and 1000 for which p + s = n is

In triangle PQR, PQ = 12, QR = 16, PR = 20 and QS is the altitude from Q to PR. If a circle is drawn with centre Q and radius QS, such that it cuts PQ at U and QR at T, find the ratio PU : TR.

This is question from AIMCAT 1613(FYI). I have the solution.

I am having a doubt as to why is the triangle not considered right angled while solving? 

  • 3:8
  • 4:9
  • 2:9
  • 3:5

0 voters

find out the last non zero digit of 37! ?

the minimum value of ax^2+bx+c is 7/8 at x=5/4 find the value of the expression at x=5, if the value of the expression at x=1 is 1

How many 4 digit numbers have the sum equal to 12?

the base of an isosceles triangle is root 2. The median to the legs intersect each other at right angles. the area of the triangle is ?

approach ?


Out of 20 consecutive natural numbers, in how many ways can 4 numbers be selected, such that any two among the selected numbers differ by at least 3?

  • 17C4
  • 20C3/3
  • 23C4
  • 23C4

0 voters

1,2,1,2,2,1,2,2,2,1,2,2,2,2,1,2,2,2,2,2,1,2...........

consist of 1's separated by blocks of 2's with n 2's in the nth block; the sum of the first 1234 terms of the sequence ?

a) 1996 b)2419 c)2429 d)2439 e)2449