CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

 Short Approach please.
Thanks in advance PUYS! 


Sonal and Deepali started swimming towards each other simultaneously from points A and B respectively situated at two ends of a 96 km long stretch of a river. Destinations of Deepali and Sonal were points A and B respectively. Both of them could swim at 12 kmph in still water. When they started, it was high tide and Sonal swam against the stream. As soon as they met, the tide changed to ‘low tide’ and then Deepali faced the resistance of the stream. Deepali and Sonal took 7 hr 12 min and 8 hr 34 2/7 min to reach their destinations respectively. [Speed of the stream during high and low tide need not necessarily be the same.] "

Q.

Find the speed of the stream during low tide.

a.  1 kmph

b.  4 kmph

c.  2 kmph

d.  Cannot be determined   


Finf minimum and maximum value of x^2+14x+9/x^2+2x+3


P and Q are two stations. Train A started from P towards Q at 6.00 a.m at 90 kmph. At the same time train B started from R an intermediate station 60 km from P and travelled towards Q at 60 kmph. Train C started from Q towards P at 7.00 a.m at 120 kmph. All the train crossed each other simultaneously. find PQ IN (KM)

 Short Approach please.
Thanks in advance PUYS! 


Sonal and Deepali started swimming towards each other simultaneously from points A and B respectively situated at two ends of a 96 km long stretch of a river. Destinations of Deepali and Sonal were points A and B respectively. Both of them could swim at 12 kmph in still water. When they started, it was high tide and Sonal swam against the stream. As soon as they met, the tide changed to ‘low tide’ and then Deepali faced the resistance of the stream. Deepali and Sonal took 7 hr 12 min and 8 hr 34 2/7 min to reach their destinations respectively. [Speed of the stream during high and low tide need not necessarily be the same.] "

Q.Find the speed of the stream during low tide.

a.  1 kmph

b.  4 kmph

c.  2 kmph

d.  Cannot be determined   

From where should i practice di questions??

how many integral solutions does m= [140 + n ]/ n-3 have?

 If HCF (35, Q) = HCF (8, Q), where HCF is the highest common factor, how many factors does 140Q have? 

 If x ≥ –2.5, which of the following is the greatest value of [-x2 +x+11]/[x+3]? 

  • 8
  • 5
  • 2
  • 6

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When the scores of top 4 students are excluded, the avrage of the remaining 66 students falls by 6 marks. Assume that the two or more students can have same marks. If the maximum score of a student cannot be more than 352. Find the maximum marks that student ranked 4th can achieve ?


OA 300. Elaborated answer not available. Please help

The sum of the L.C.M and the H.C.F of two natural numbers a and b is 57.What is the minimum value of a+b ,if a and b are not co prime???

PQRS is a trapezium with the lengths of parallel sides PQ and RS being 9cm and 27cm respectively.If the measures of the angles PSR and QRS are 60 and 45 respectively,what is the area(in sq cm) of the trapezium PQRS???

approach pls


In an isosceles △ABC, AB=AC. A circle passing through B and touching AC at its middle point, intersects AB at P. Then AP:AB is,


ans. 1:4

ABCD is a cyclic quadrilateral. AB = AD= 34, CB = CD and BD = 60. Find the perimeter of ABCD.

In  △ABC,∠C is an obtuse angle. The bisectors of exterior angles at A and B meet extended BC and AC at D and E respectively. If AB=AD=BE then ∠ACB is

In right △ABC, BL and CM are two medians with right angle at ∠A and BC=5cm. If BL= 3√5/2 , then the length of CM is,

2 cards are taken out from a deck one by one.what is the probability that the value of the first card taken out is smaller in value than the 2 nd card?

A wire of length 6cm is cut into 2 parts.what is the probability that one part of the wire is not greater than 2cm?

in what ratio does x axis divide line segment joining points A(2,13/3) and B(4,-13/4) 

a)2:1 

b)1:2

c) 3:4

d)4:3

 any approach other than similarity of triangles?  

Solve this

n! has 2394 trailing zeros. Find the sum of the digits of the least possible value of n.