CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

Is there a sectional cut off in CAT ?

Β In a race of 1 km, Abdul beats Bilal by 25 seconds, who beats Faheed by 75 seconds. If Bilal and Faheed run an 800 m race, then Bilal would beat Faheed by 300 metres. Find the time taken by Abdul to run a 800 m race.Β 

please explain


What are the number of three digit numbers that have exactly 18 factors?

The coefficient of x^11 in the expansion of (x-1)(x-3)(x-5)...(x-23) ?

In how many ways you can climb up 8 steps if minimum and maximum numbers of steps you can take at a time are 1 and 6 respectively?


Procedure!!


OA:125

Β 

  • A flight starts from Bangalore at 7 am local time and reaches Dubai at 12:30 am local time. Another flight starts from Dubai at 3 pm local time and reaches Bangalore at 8:40 pm local time. Both flights travel at a constant speed of 800 km/hr. Find the distance between Bangalore and Dubai.Β 

A vessel filled to the brim contains a mixture of 2 liquids m and n in the ratio 7:5. Thes volume of the liquid is 36litres.If a certain amt is taken out from the vessel and is replaced by liquid "m", the ratio becomes 13:5. The withdrawn amt is?

Can someone please explain this question

Explanation needed

Β 

An artist has a canvas of length 10 inches and breadth 7 inches. He paints a green square of side 1 inch in one corner of the canvas. He then paints the two adjacent squares with blue colour. He continues to paint the entire canvas in such a way that no green square is adjacent to a blue square and vice versa. What is the ratio of number of blue squares to the number of green squares?

Two ferries start at the same time from opposite sides of a river,travelling across the water on routes at right angles to the shores. Each boat travels at a constant speed though their speeds are different. They pass each other at a point 720 m from the nearer shore. Both boats remain at their slips for 10 minutes before starting back.On the return trip they meet at 400 metres from the other shore.Find the width of the river.

A right circular cylinder has r=6cm,h=24cm.A rectangular solid of square base and height 20 is placed such that the corners of the solid is tangent to the cylindrical wall.If water is poured in the cylinder it reaches the brim.What is the volume of water poured.

OA: 288(3pi-5)

How many spheres of radius 0.3 cm can be carved out of a cuboid of whose dimensions are 18cm, 10cm and 11cm?

Let p1 be a circle of radius r.A square is inscribed in p1 such that all vertices of the square Q1 lie on the circumference p1.Another circle p2 is inscribed on q1 and so on.If sn is the area between Qn and Pn+1 then the ratio of all such Sn to area of square Q1 is:

OA:(4-pi)/2


Β 

Two runners A, B starts simultaneously from the two points where the circle x2 + y2 = 16 cut the X-axis. The speeds of A, B is in the ratio 2: 1 and they are moving in the opposite directions.

The coordinates of the point where they meet for the first time is

Ans:(2,2*3^0.5)

Q. 113.

IIFT GK source?

A speaks truth 3 times out of 4 and b speaks 7 of 10...they both assert a white ball has been drawn from a bag of 6 different coloured balls..find the probability of truth of assertion

David has notes only in denomination of rs 50,rs 20 and rs 5. In how many ways can he settle a bill of Rs 120 for his lunch in a local hotel? Approach for the question!

Anyone pls explain how 150?