CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

 Ashok went on a tour. He visited a total of 8 cities. In each city he spent 2 less than half the amount he had with him. He spent 100 in the last city he visited. Find the amount he had initially

 A boy is running on a circular track around a playground. There is a tower situated outside the playground. The boy observes that while making one complete round along the track, the angle of elevation of the top of the tower is 45° at two points on the track and 60° at two other points on the track. If these four points, when joined, from a square, the area of which is 800(12-6root2) sq. m., find the height (in m) of the tower.

a)90.b)100.c)120.d)150.
 

For this question why the answer is 2 and not 4?

 In a trapezium, it was found that the sum of the squares of the diagonals is less than the sum of the squares of the sides by 144 cm2. If the shorter of the parallel sides is 9 cm long, then find the length of the longer of the parallel sides (in cm).  

Mensuration question. Method please. Thanks.

How many squares are possible if two of the vertices of a quadrilateral are (1,0) and (2,0)? Answer- 3 Method please...

Solution is 30. Explain how?

Plz explain

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 it such that the new ratio becomes 4:5:9. What can be the minimum possible number of pens that were added?

If P (6,7), Q (2,3) and R (4,-2) are vertices of a triangle, then which of the following is not a point contained in this triangle?  a) (4,3) b) (3,3) c) (4,2) d) (6,1) Answer: (6,1) Approach please

How many different flags can be made with 5 different stripes using them any number at a time? OA 385 Source: nishit. Pls do share your approach.

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Please join if you are preparing fr IIFT 

In a sequence, t1=5, t(n+1)th term=(2* tn) -(3*n) +3. Find t100

Find the reaminder when x^20 + 4x^10 + 9x^5 + 16x^3 +25x^2 +36 is divided by x^2 - 1 ?

 Ramu mixes 2 litres of mineral water costing Rs. 15 per litre with 18 litres of milk that he bought for Rs. 900. After selling 2 litres of this mixture to Shamu, Ramu adds tap water so that the ratio of milk to tap water is 9:10. If tap water is free and Ramu claims to sell at cost, what is his profit? 

What does move around mean?

there is a circular track of 440m. 3 persons a,b,c are standing at different points on the track and ready to start the race. a,b are diametrically opposite each other and C is midway between a and b. Race starts at 10 am speeds of a,b,c are 5m/s, 10m/s, 8m/s respectively. After how long will b and c meet for the second time if all 3 run in the clockwise direction?


10:06:25

10:04:35

10:03:50

10:02:45


approach?

Guys! What is the least value of x such that 60!/x will be a odd number? Need whole solution! Answer don't know

Anyone has solution of this??

84^79. Find last two digits... Any quick methods to find?