Official Quants Group|CAT:2022|MBA:2023-2025

HELP PLZ There are 6 available distinct colors. in how many ways can you paint 6 faces of a cube? I think the answer should be 6! but it's not, what am i doing wrong? please help guys

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HELP PLZ 


ok so n(a intersection c) = n(b intersection c) in both option 1 and option 4, all the other conditions are satisfied in option 1-4 so why is option 1 wrong?

HELP PLZ


 An insect has one shoe and one sock for each of its twelve legs. In how many different orders can the insect put on its socks and shoes, assuming that, on each leg, the sock must be put on before the shoe? 

HELP PLZ


There are 10 identical Is and 10 identical Ms, in how many ways can you make the word IIM?

HELP PLZ 


 It takes five minutes to tell a rumour. Initially, one person knows it. He tells it to only two people, each of whom again tell it to only two more people immediately. Thus, everyone tells the rumour to only two new people immediately after hearing it. Find the minimum time after which 96 people get to know the rumour? 

HELP PLZ


 How many three-digit numbers have at least one digit as 2 and at least one digit as 3? 


My attempt - all 3/ all 2 = 2

two 2s and two 3s = 3!/2!*2*10 - 2

only 1 two or 1 three= 9*8


all these three and we should get the ans but my answer is wrong. why and how?

In a bag, the ratio of number of pens, pencils and erasers is 2:3:7. A few erasers are taken out and a few pens and pencils are put into thebag such that the ratio now becomes 4:5:9. What could be the minimum possible number of pens that were put into the bag? Approach please. Thanks!

How many triangles having integer sides (in cm) can be formed with a perimeter of 45 cm?


@vishiac @summi_arora

A grid of lines comprises 21 equidistant lines parallel to the x axis and 31 equidistant lines parallel to the y axis. A straight line is now drawn from one corner of the grid to the diagonally opposite corner. At how many distinct points does the diagonal line intersect the lines in the grid?


@vishiac @summi_arora

 

A person lent out some money for 1 year at 6% per

annum simple interest and after 18 months, he again

lent out the same money at a simple interest of 24%

per annum. In both the cases, he got `  4704. Which

of these could be the amount that was lent out in

each case if interest is paid half-yearly?

Should I try TIME or IMS mocks because I'm still not getting more than 60.

Suggest something pls..TIA

A number when divided by 5 and 7 leaves remainder 3 and 2 respectively. The same number divided by 6 leaves remainder 4. The smallest such three-digit number lies between?

Is a PG Diploma course considered to be a professional degree, can I mention it it the can form?

A family has a father, a mother, and their six children - A, B, C, D, E, and F. They have to attend a party, for which they decide that only one among the father or the mother will attend, along with any number of children, subject to the following constraints:

(a) Neither B nor C will go along with their mother.

(b) F goes, only if A or D goes. In how many different ways can the family attend the party?

A train X departs from station A at 11:00 AM for station B, which is 180km away. Another train Y departs from station B at 11:00 AM for station A. Train X travels at an average speed of 70km/hr and does not stop anywhere until it arrives at station B. Train Y travels at an average speed of 50km/hr but has to stop for 10 mins at station C, which is 60km away from station B enroute to station A. Ignoring the length of the trains, what is the distance, to the nearest km, from station A to the point where the trains cross each other. Options - a. 110 b. 112 c. 116 d. None of these

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 In Triangle ABC, D is mid-point of AB, E is midpoint of AC. BE and CD intersect at right angles. If length of AB=16cm, length of AC=20cm. Find length of BC?

Find the number of non - prime factors of 4^10 × 7^3 × 5^9 ? Answer ---> 437 Source - IMS booklet Approach, please !

8 black balls of different sizes and 4 white balls of different sizes ard placed in a row. What is the probability that no two balls are adjacent to each other ?