CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

You are selecting 10 numbers randomly out of the first 100 odd numbers. Sum of these 10 odd numbers is A. How many different values of A are possible?

Can you please share the approach.

Can someone please mention the approach to solve this?

Someone please help me with question no. 19. I am not getting the answer. Topic :- Percentages

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Two different solutions of honey, milk and water are mixed with each other three times in varying proportions. The concentration of honey and milk in the three resulting solutions are found to be (10%, 16%), (12%, 12%) and (16%, x%) respectively. What is the value of x?

How many rectangles are there in a 18x16 board? The answer is 171x136. Please do share the approach.

Plz explain In a number system,the product of 44 and 11 is 1034.The no. 3111 of this system when converted to the decimal number system becomes.....ans is 406

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B is 20% efficient than A. B started the work and do it for x days and then B is replaced by A and A completed the remaining work in (x+8) days. Ratio of work done by A & B is 2:3. In how many days A&B wrking together to complete the whole work??

Solution needed please....

A container is having 30 L of pure milk. In the first operation, 10 L of it is flushed away and replaced with20 L of water. Again in the second operation, 10 L of resulting solution is flushed away and replaced with20 L of water. In this process, 'n' such operations are carried out.

Q1.    What is the volume of pure milk (in liters) in the container after (n - 1) such operations?

(1)   30/(n +2)

(2)   60/(n+ 2)

(3)   30/(n +1)

(4)   30*n/(n^2 - 3n + 2)

(5)   60/(n +1)

Q2.   What is the ratio of quantity of water to milk after 10 such operations?

(1) 25 : 1

(2) 20 : 1

(3) 25 : 2

(4) 15 : 2

(5) 40 : 3

What is the perpendicular distance between the parallel sides of rhombus in terms of its side?

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x and y are real numbers satisfying the conditions 2

  • None of these
  • x y^2
  • 5 xy
  • x^2 y

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Set S is formed by selecting some of the numbers from the first 110 natural numbers such that the HCF of any two numbers in the set is the same. If the HCF of any two numbers in set S is 5, what is the maximum number of elements that set S can have? (in numerical value).....

options :- (1) 9    (2) 11    (3) 12    (4) 22

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A racetrack is in the form of a right triangle. The longer of the legs of track is 2 km more than the shorter of the legs (both these legs being on a highway). The start and end points are also connected to each other through a side road. The escort vehicle for the race took the side road and rode with a speed of 30 km/h and then covered the two intervals along the highway during the same time with a speed of 42 km/h. find the length of the race track

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Find the area (in square units) of the region bounded by the curves y = |x + 1| + |1 - x| and y = 4.

answer is 6.

please explain how?

A tourist covered a journey partly
by foot and partly by tonga. He
walked for 90 km and rode the
Tonga for 10 km. He spent 4 h less
on the tonga than on walking. If the
tour had reversed the times he
travelled by foot and on tonga, the
distances travelled. on each part of
the journey would be equal. How
long did he ride the tonga?