CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

##cat 16 :mg


In a game called 'Donkey Merge,' you take a two-digit number, multiply its digits and keep repeating this process until you get a single digit number. What is the probability that this single digit is zero?

Options: 8/90 , 4/15, 17/90 , 2/9 

Is there any study group from b'lore?

##cat 16  


27 unit cubes are assembled together to form a 3 3  3 cube. How many sets of 3 cubes can you find such that the centres of the 3 cubes lie in a straight line?

Options:

32,

49,

44,

50,

76

##cat 16 


Dhondu, Bhondu and Tondu are three donkeys among the twelve donkeys in a race. If there are no ties, how many different finishes are possible if Dhondu and Bhondu finish in two consecutive positions, not necessarily in that order, but Tondu does not finish next to either of them?

Options:

90,

18x10!,

12!-3x10!,

16x10!

##cat 16  


A and B have four distinct numbers each, that form the set of the first 8 prime numbers. They both add their numbers individually and observe that the sum of A's numbers is a square where as B's number is a prime. Which of the following numbers has B not selected ?

(A) 2

(B) 11

(C) 17

(D) 19

Help out Q-2

##cat16  


The Digital Display (DD) is made up of small line segments to represent particular digit (for eg to represent 2 it will use 5 line segments (i.e. the digits are represented as in calculator, with the help of seven segments)).
The roots of the equation x^2 - 30x + 209 = 0 are flashed on DD in the form of 4 digit single number in all possible combination. At the end when all combination are exhausted the average of all the numbers is displayed. The total no. of line segments used by DD is ?


(A) 48

(B) 64

(C) 68

(D) 72

A shopkeeper uses a faulty balance that has one arm 4% longer than the other. What percentage profit can he earn? Please give a detailed solution.TIA

A man purchased the articles for Rs. 123684. He sold 60% of those at a profit of 16.66% and rest at a loss. Find the loss percentage on the remaining if the overall loss is 14%?

Guys iss summer mujhe ims Bbsr mai 2 month crash course karna chaiye yaa handa ka funda ka online course krna chaiye???

Boxes numbered 1, 2, 3, 4 and 5 are kept in a row and they are to be filled with either a red or a blue ball, such that no two adjacent boxes can be filled with blue balls. Then how many different arrangements are possible, given that all balls of a given colour are exactly identical in all respects?

pls explain..

In a 200 m race, A gives B a headstart of 25 m and wins by 10s. If A gives B a headstart of 45 m, the race ends in a dead heat. What will be the time taken by A to complete the race? Pls give ur explanation. Thanks

##cat 16  


find the value of X

x=7/9 * 26/28 * 63/65 *124/126 ..... upto 10 terms

##cat16 


Four boys A,B,C and D and their respective girlfriends E,F,G and H are to be seated around a rectangular table with 4 chairs on 2 sides each such that no couple sit exactly facing each other.The boys want to be seated on the same side such that no couple sit exactly facing each other.The boys want to be seated on the same side ,how many seating arrangements are possible
a) 216 b)432 c)288 d)None of these

##cat16  


The product of three numbers is 1620. If the HCF of any two out of the three numbers is 3, find the L.C.M of the numbers?

In a 750 m race, the ratio of speeds of Arun to Darani is 1:3. Arun has a head start of 250 m. Who wins the race and by what distance?

##silly_pointers## notemaking ___/\___


If there are two no. say x,y then H.C.F*L.C.M=x*y

For three number we can use the following formula


LCM(a, b, c) = (a*b*c*GCD(a, b, c))/ (GCD(a,b) *GCD(b,c) * GCD( c,a) )

##cat 16  


It was found that a cube can be cut into ceratin number of identical cuboids each measuring 1 cm * 2 cm *5 cm.what is the side of the smallest such cube.How many such cuboids can be formed from such a cube?

If 40 workers can dig 30 pits in 10 days working 6 hours a day, how many workers are required to dig 6 pits in 4 days working 5 hours a day?

Kamal fires a gun at 10.30 a.m. when Bala starts on his car towards Kamal. Kamal fires it second time after 10 min 30 s but Bala hears the second shot ten minutes after hearing the first shot. What was Bala's speed in kmph, if the speed of sound in air is 330m/s? Pls explain