CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

MBA CAT 2024
2162
If S= 1 + 1/2 + 1/3 + 1/4+ ... +1/127 , then what is the range of S ?
2163

A box contains 25 red balls and 20 blue balls. An unbiased die is rolled, if the result is an even number, then 3 red balls and 1 blue ball are taken out from the box without replacement and if the result is an odd number, then 2 blue balls and 1 red ball are taken out from the box without replacement. If the die is rolled 4 times, then what is the probability that the total number of red balls, which are taken out, is more than the number of blue balls, which are taken out ?

2164

Conceptual doubt : 

Find the number of selections that can be made by taking 4 letters from the word "ENTRANCE" 

A) 70 B) 36 C) 35 D) 40

OA : B

explain how to handle repeating letters...

2165

An easy one.


There are two tanks T1 and T2. Two pipes P1 and P2 are used to fill these tanks. When operating alone, P1 takes 12 hours more to fill T1 than to fill T2, but P2 takes 24 hours more to fill T1 than to fill T2. When operating together how many hours more, will they take to fill T1 than to fill T2?

2166

A milkman is left with 10 liters of milk.He agrees to sell it at rs 10 per liter which is its cost price.He sells it in such a way that after selling 1 liter of mllk(remaining 9 liter) he adds some water to it and then sells it for 10℅ profit.Continuing the process for 20℅,30℅ and so on.Find the amount of water left when he is about to sell the milk for the fourth time? OA : 2.828

2167

The probability that a randomly chosen positive divisor of 10^29 is an integer multiple of 10^23 is a^2/b^2 then what is b-a?

2168
Let A(N) be the sum of the first N natural nos. and B(N) denote the sum of the squares of the first N natural nos. If B(N) is a multiple of A(N) , then which of the foll. Could be true ? 1) N is divisible by 6 2) N+1 is divisible by 6 3) N+2 is divisible by 6 4) N-3 is divisible by 6 Need short approach to solve this
2169

## quant-mba_2016

What is the  right most non zero digit of 

100!+200!+300!+400!+.....3000!

2170

## pointers ###


For any set of n positive numbers , Arithmetic Mean >= Geometric Mean >=Harmonic mean

The equality occurs only when all the numbers are equal .

This can be used if the sum(or product ) of some numbers are given and the maximum(or minimum) value of the product(or sum ) is asked ... Ex : xy=27

minimum value of 3x+4y ?

taking 3x and 4y to be two numbers and applying our rule A.M : (3x+4y)/2

G.M : (12xy)^1/2=(4*3*27)^1/2 = 18 A.M >= GM 3x+4y >= 2*18 Hence the

minimum value of (3x+4y) is 36

2171

##Basic Concept Fundas##

1. If there are n number of straight lines , They intersect each other in nc2 ways

2. If there are m number of circles , They intersect each other in 2*(mc2) ways = m (m-1)= 2p2 ways

3. When n straight lines and m circles intersect each other , they intersect in at most 2 * m * n = 2* ( no. of circles ) * ( no.of straight lines)

4. When n parallel lines intersect m straight lines , Then no. of parallelograms possible = nc2 * mc2= mn (m-1) (n-1)/4

5. There is one case when collinear and non- collinear points are given , and asked how many triangles it can formed=>

The funda for this - ( Triangles that can be formed with all points ) - ( Triangles formed with collinear points ) 

2172

find the remainder when 123456123456.....upto 600 digits is divided by 999??

answer with explaination please

2173

The sum of four natural numbers is 305. The ratios of these numbers in pairs are 2:3, 3:4, 4:5, 5:6, 8:9 and 15:16. What is smallest natural number that can be divided by these four numbers? (in numerical value)

2174

Triangle ABC is an equilateral triangle with area 9*root3. D and E are the points on the sides of A and B that divides the respective sides in the ratio 1:2 and 2:1 respectively. What is the radius of the circum-circle of triangle BED? 

a) 2*root7 b)2*root2 c)root7 d)root14

2175

The number of positive integral ordered pairs (x,y), that satisfy the equation 3x+xy=138-2y . ?

2176

A natural number has only two prime factor. It is 100 times the number of its factor. find the sum of the digits of the least number satisfying this conditions.

  • 2
  • 3
  • 4
  • 1

0 voters

2177

How many natural number less then 100 when squared and then devided by 24 leaves a reminder of 1?

  • 34
  • 32
  • 33
  • 30

0 voters

2178

How many four digit perfect squares 'abcd' are possible such that 'dcba' is also a four digit perfect square and is also a factor of 'abcd'?

  • 2
  • 1
  • More than 2
  • 0

0 voters

2179

Could anybody please explain a^2b^3c^4 to have maximum value when a+b+c is constant, a,b,c must ve in the ratio 1:2:3 and further r:h = 2:1. Thanks

2180

If 0.2373737..... is p/q then what is the value of p+q?

Answer is 1225

Plz explain

2181
In a 3 digit no., the hundreds digit, the tens digit and the units digit are in descending order and in AP. Each digit of the no. is multiplied by the sum of the other 2 digits. The sum of all such results is A. B is the product of the tens digit & the sum of all the digits and A=4/3 of B. Find the no. Of such nos. answer -4 .