CATKing

CATKing's XAT Course- courses.catking.in/courses/xat
A solid trophy, consisting of two parts, has been designed in the following manner: the bottom part is a frustum of a cone with the bottom radius 30 cm, the top radius 20 cm, and height 40 cm, while the top part is a hemisphere with radius 20 cm. Moreover, the flat surface of the hemisphere is the same as the top surface of the frustum.
If the entire trophy is to be gold-plated at the cost of Rs. 40 per square cm, what would the cost for gold-plating be closest to?

XAT 2025

3 hours ago | [YT] | 2

CATKing

CATKing's XAT Course- courses.catking.in/courses/xat
Arun selected an integer x between 2 and 40, both inclusive. He noticed that the greatest common divisor of the selected integer x and any other integer between 2 and 40, both inclusive, is 1.
How many different choices for such an x are possible?

XAT 2025

3 hours ago | [YT] | 2

CATKing

CATKing’s NMAT Course - courses.catking.in/courses/nmat
By selling sandwiches at Rs. 240 per piece, Sameer gains 20%. Find
the cost price of the sandwich per piece?

NMAT

7 hours ago | [YT] | 5

CATKing

CATKing's CAT Course- courses.catking.in/courses/cat-intensive
Gita sells two objects A and B at the same price such that she makes a profit of 20% on object A and a loss of 10% on object B. If she increases the selling price such that objects A and B are still sold at an equal price and a profit of 10% is made on object B, then the profit made on object A will be nearest to


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CATKing

CATKing's XAT Course- courses.catking.in/courses/xat
Arun selected an integer x between 2 and 40, both inclusive. He noticed that the greatest common divisor of the selected integer x and any other integer between 2 and 40, both inclusive, is 1.
How many different choices for such an x are possible?

XAT 2025

1 day ago | [YT] | 5

CATKing

CATKing's XAT Course- courses.catking.in/courses/xat
There are five dustbins along a circular path at different places. Ramesh takes multiple rounds of the path every morning, always at the same speed. He noticed that it took him a different number of steps to walk between any two consecutive dustbins. Ramesh also noticed that starting from any of the dustbins, it took a minimum 360 steps to reach every second dustbin, and a maximum 1260 steps to reach every third dustbin.
If Ramesh's step size is 0.77 meter, and the width of the path is negligible, which the following can be the radius of the circular path?

XAT 2025

1 day ago | [YT] | 2

CATKing

CATKing’s NMAT Course - courses.catking.in/courses/nmat
The production of wheat increased by 50% from 1995 to 2000.
From 2000 to 2005, there was a 100% increase. What is the
percentage increase in the production of rice from 1995 to 2005?


NMAT

1 day ago | [YT] | 10

CATKing

CATKing's CAT Course- courses.catking.in/courses/cat-intensive
The salaries of three friends Sita, Gita and Mita are initially in the ratio 5 : 6 : 7, respectively. In the first year, they get salary hikes of 20%, 25% and 20%, respectively. In the second year, Sita and Mita get salary hikes of 40% and 25%, respectively, and the salary of Gita becomes equal to the mean salary of the three friends. The salary hike of Gita in the second year is


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CATKing

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