CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

Short Method Please: 

If 80% of the first number is equal to half the second number, and is one more than one-third of the third number, then which of the following cannot be the sum of the three numbers? [All the three numbers are positive integers.]

a.    67

b.    97

c.    72

d.    122 


Thanks in advance Puys!

 [CAT 2001]

The owner of an art shop conducts his business in the following manner: every once in a while he raises his prices by X%, then a while later he reduces all the new prices by X%. After one such up-down cycle, the price of a painting decreased by Rs. 441. After a second up-down cycle the painting was sold for Rs. 1,944.81. What was the original price of the painting?

a.    Rs. 2,756.25

b.    Rs. 2,256.25

c.    Rs. 2,500

d.    Rs. 2,000 


Thanks in advance Puys!

Approach

   Plane schedule to depart at 9 am.delayed by 30 mins.Driver increased  the speed by 250kmph and reached on time.At what time plane will reach  the destination if distance is 1500km ? any fast solutions? 

Town P and Q are 265 km apart. Car A started from P at 60 km/hr at 8.00 am towards Q. Car B started from Q at 40 km/hr at 10.00 am. B stopped for half an hour. A stopped for 28 minutes at town S which is at a distance of 210 km from P. Find the time at which B crossed A.

 N is a three digit no. such that N = a + b^2 + c^3, where a,b,c are single digit no.s and N<500 


M and N are trisection points of segment AB,with M towards A. If a coin is placed on the line its position can be identified in relation with A,M,N,B. No coin can be placed on any of these 4 points and any number of coins can be placed on any of the segments AM,MN and NB. In how many ways can 6 distinct coins be arranged on the line?

What is the remainder when 10!+111 is divided by 143 ?? Explanation folks ?

 

[CAT 2001]

The owner of an art shop conducts his business in the following manner: every once in a while he raises his prices by X%, then a while later he reduces all the new prices by X%. After one such up-down cycle, the price of a painting decreased by Rs. 441. After a second up-down cycle the painting was sold for Rs. 1,944.81. What was the original price of the painting?  

a.    Rs. 2,756.25

b.    Rs. 2,256.25

c.    Rs. 2,500

d.    Rs. 2,000 

Thanks in advance Puys!

In a class of 240 students, the results of two subjects Maths and Science were announced. Further, it is known that,

(i) The number of students who failed in maths is 125% of the number of students failed in science.
(ii) 120% of the number of boys passed in only science is equal to the number of boys who passed in maths but failed in science.
(iii) 57% of the total number of boys failed in maths.
(iv) 48% of the number of students failed in maths equals to the number of boys failed in maths.
(v) The number of students passed in both the subjects is 25% of the number of students failed in science.
(vi) The number of boys is 10% more than the number of girls.
(vii) Ratio of number of girls to number of boys who failed in both subjects is 3 : 7) 
(viii) Ratio of number of girls to boys, who passed in both subjects, is 2 : 3) 


how to approach this one

SIMCAT 13 Question :: Skip if you have not given or are planning to give it.

12 students (A, B, C, … K, L) are sitting in a row in that order. In how many ways can you distribute a red rose each to 3 consecutive students, a pink rose each to 3 consecutive students and a white rose each to 3 consecutive students such that no student gets more than one rose?


Approach pls.

 Two equal circles with centers O and O’ cut each other at two distinct points C and C’. If neither O nor O’ falls within the intersection of the circles, what is the smallest range that includes all the possible values of ∠COC' + ∠CO'C'? 

 (a)Between 0° and 180°

(b)  Between 0° and 120°

(c)  Between 0° and 360°

(d)  Between 0° and 240° 

Soln please

try ques 49

 If PN is the perpendicular from a point P on the circumference of a circle of radius 7cm to its diameter AB and the length of the chord PB is 12cm, the length of BN is,


SIMCAT 13 TITA Question :: Skip if you have not given or are planning to give it.


Find n, where the sum of the digits of (10n – 1)^2 is 2016.


Looking for alternative approaches. 

 What is the digit at the hundredths place of the number N = 45^36 ? (in numerical value) 

OA:6

  Sixty equally spaced line segments are drawn on a circular clock such that each line segment is the radius of the circle. If the minute hand and the hour hand of the clock overlap with one of these line segments at 12 Noon, then at what time during the next 12 hours will the minute hand overlap with the line segment which is immediately prior to the line segment with which the hour hand overlaps? 

 a   4 : 24 P.M

.b  2 : 12 P.M.

c  9 : 48 P.M.

d  Cannot be determined 

One day each member of Ram’s family consumed some milk and some water. Though the quantities of milk and water varied for the family members, the total consumption of the two liquids was exactly 7 litres for each family member. If Ram had one-fourth of the total milk consumed and one-sixth of the total water consumed, then what was the ratio of the quantity of milk to that of water consumed by Ram on that day? 


( a)   3 : 2


(b)  1 :   1 


(c) 2 : 3


(d)  Cannot be determined

Can someone please explain the last part of this solution? Does it mean that the train takes 8 min and 6 mins respectively to cover the entire distance?



Question: https://i.imgsafe.org/14697019e6.png

Solution : https://i.imgsafe.org/147401bd7a.png