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National Council for Hotel Management and Catering Technology Joint Entrance Examination
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Quantitative Aptitude
List of top Quantitative Aptitude Questions asked in National Council for Hotel Management and Catering Technology Joint Entrance Examination
Two trains having lengths 680 m and 570 m are running towards each other on parallel tracks with speeds of 80 km/h and 70 km/h, respectively. In how many seconds will they be able to cross each other?
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Time Speed and Distance
The sum of all possible values of \( K \) such that a 5-digit number 90K68 is divisible by 8 will be:
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Divisibility Rules
If the mean of the observations 6, 16, \( (K + 26) \), \( (2K - 3) \), and 10 is 14, then the value of
\( \frac{K^2 + 1}{2} \)
is:
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Linear Equations
If the length of the diagonal and the area of a rectangle are 25 m and 168 m\(^2\), respectively, then the longer side of the rectangle is:
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Mensuration
The area of a rectangle having sides in the ratio 1 : 4 is equal to the area of a square of side 8 cm. The perimeter of the rectangle (in cm) is:
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Ratio and Proportion
The total number of digits used in numbering the pages of a book having 366 pages is:
NCHMCT JEE - 2023
NCHMCT JEE
Quantitative Aptitude
Number System
Two pipes, A and B, can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, how long will it take to fill the tank?
NCHMCT JEE - 2023
NCHMCT JEE
Quantitative Aptitude
Pipes & Cisterns
Kavya is 40 years old and Neetu is 60 years old. How many years ago was the ratio of their ages 3 : 5?
NCHMCT JEE - 2023
NCHMCT JEE
Quantitative Aptitude
Problem on Age
A number when divided by 195 leaves a remainder 47. If the same number is divided by 15, the remainder will be:
NCHMCT JEE - 2023
NCHMCT JEE
Quantitative Aptitude
Number System
The value of \( 35.7 - \left[ 3 + \frac{1}{3 + \frac{1}{3}} \right] - \left[ 2 + \frac{1}{2 + \frac{1}{2}} \right] \) is:
NCHMCT JEE - 2023
NCHMCT JEE
Quantitative Aptitude
Simplification
A person reaches his destination 40 minutes late if his speed is 3 km/hr and reaches 30 minutes before time if his speed is 4 km/hr. Then the distance of his destination from his starting point is:
NCHMCT JEE - 2023
NCHMCT JEE
Quantitative Aptitude
Speed Time and Distance
In an examination, 35% of total students failed only in Hindi, 45% failed only in English and 20% failed in both, then the percentage of students who passed in both the subjects is:
NCHMCT JEE - 2023
NCHMCT JEE
Quantitative Aptitude
Percentages
A can do a piece of work in 10 days and B in 20 days. They work together but 2 days before the completion of the work, A leaves. In how many days was the work completed?
NCHMCT JEE - 2023
NCHMCT JEE
Quantitative Aptitude
Time and Work
How much water must be added to 60 litres of milk, costing \rupee20 per litre, to get a mixture worth \rupee10\( \frac{2}{3} \) per litre?
NCHMCT JEE - 2023
NCHMCT JEE
Quantitative Aptitude
Mixtures and Allegations
The selling price of 30 items is equal to the purchase price of 25 items, then the profit or loss percent is:
NCHMCT JEE - 2023
NCHMCT JEE
Quantitative Aptitude
Profit and Loss
The difference between the value of a number increased by 25% and the value of the original number decreased by 30% is 22. What is the original number?
NCHMCT JEE - 2023
NCHMCT JEE
Quantitative Aptitude
Percentages
The difference between the cost price and sale price of an article is \rupee240. If the profit is 20%, the selling price is:
NCHMCT JEE - 2023
NCHMCT JEE
Quantitative Aptitude
Profit and Loss
A 160 m long train crosses a 160 m long platform in 16 seconds. Then the speed of the train is:
NCHMCT JEE - 2023
NCHMCT JEE
Quantitative Aptitude
Problem on Trains
The ages of two persons differ by 16 years. If 6 years ago, the elder one was three times as old as the younger one, then the present age of the elder one is:
NCHMCT JEE - 2023
NCHMCT JEE
Quantitative Aptitude
Problem on Age
Six years ago, the ratio of the ages of Ram and Ravi was 6 : 5. Four years hence, the ratio of their ages will be 11:10. What is Ravi's age at present?
NCHMCT JEE - 2023
NCHMCT JEE
Quantitative Aptitude
Problem on Age
The ages of A and B are in the ratio 6 : 5 and the sum of their ages is 44 years. What will be the ratio of their ages after 8 years?
NCHMCT JEE - 2023
NCHMCT JEE
Quantitative Aptitude
Problem on Age
If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 3 kmph, then the speed of the boat in still water is:
NCHMCT JEE - 2023
NCHMCT JEE
Quantitative Aptitude
Boat and Stream
The simple interest on a sum of money is \( \frac{4}{9} \) of the principal. If the rate percent and time are numerically equal, then find the rate percent.
NCHMCT JEE - 2023
NCHMCT JEE
Quantitative Aptitude
SI & CI
If
\[ \sqrt{218 + \sqrt{37 + \sqrt{144}}} = K, \text{ then value of } K \text{ is} \]
NCHMCT JEE - 2023
NCHMCT JEE
Quantitative Aptitude
Square and Square Roots
If \( \sqrt{x} + 14 = \sqrt{2601} \), then \( x \) is equal to:
NCHMCT JEE - 2023
NCHMCT JEE
Quantitative Aptitude
Square and Square Roots
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