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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
A number when multiplied by 18, increased by 357. The number is:
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Basic Algebra
A solid metallic cube having surface area 864 cm\(^2\) is melted to form 64 small solid cubes of the same size. The sum of the surface areas of all the small cubes so formed (in cm\(^2\)) is:
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Mensuration
A is three years older than B who is twice as old as C. If the sum of the ages of A, B and C is 28 years, then how old is B?
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Problem on Age
If (a + b) : (b + c) : (c + a) = 6 : 7 : 8 and \( a + b + c = 14 \), then the value of \( a \) is:
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Ratio and Proportion
The simple interest on a certain sum at the rate of 7% for 6 years is ₹ 3024. The sum is:
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Simple Interest
In what ratio should two varieties of sugar costing ₹ 52/kg and ₹ 42/kg, respectively, be mixed to get a variety of sugar costing ₹ 45/kg?
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Mixtures and Allegations
In a journey of total 24 km, a man noticed that after cycling for 1 hour 40 minutes, the distance covered by him was \( \frac{5}{7} \) of the remaining distance. What was his speed in meters per second?
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Time Speed and Distance
The sum of two numbers is 240. If the numbers are in the ratio 3 : 5, then the sum of their LCM and HCF is:
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Some Problems on HCF and LCM
The monthly salaries of A and B together amount to ₹ 40000. A spends 82% of his salary and B, 94% of his salary. If their savings are the same, then the salary of A is:
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Profit and Loss
What is the average of first 16 multiples of 9?
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Averages
Solve: \( 2.8 - (7.4 \div 3.7 \times 5) \times 2 \)
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Simplification
What is the least number that must be added to 6412 to get a perfect square?
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Number System
A man sold two articles for ₹4000 each with no profit no loss in the whole transaction. If he sold one article at a gain of 25%, then the other article has been sold at a loss of:
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Profit and Loss
\₹ 10000 is invested for \( 1\frac{1}{2} \) years at 10% p.a. What is the difference between the compound interest when the sum is compounded half yearly and when it is compounded annually?
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Compound Interest
Joseph started a business by investing ₹ 100000. After 2 months, B joined him by investing ₹ 90000. After 4 more months, C joined them by investing ₹ 100000. The ratio of their shares in the profit at the end of the year is:
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Partnership
The ratio of present ages of A, B, and C is 3 : 4 : 5. After 6 years, the average age of all the three will be 26 years. What was the difference between the ages of B and C, 4 years ago?
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Partnership
A and B can do a work in 120 days, B and C can do it in 72 days while A and C can do it in 90 days. In how many days can C alone do the work?
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Time and Work
If \( a^4 + \frac{1}{a^4} = 322 \), then the value of \( a - \frac{1}{a} \) is:
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Algebraic Identities
Solve the following:
\[ \sqrt{13824} + \sqrt{15625} \]
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Square and Square Roots
In an election between two candidates, one of them got 62% of the total votes polled and won by 432 votes. What is the total number of votes polled?
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Percentages
In a class of 60 students, 60% are boys. The average of marks of the boys is 68 and that of the girls is 72. What are the average marks of the whole class?
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Averages
If the difference between 58% and 76% of a number is 198, then the difference between 82% and 46% of the same number will be:
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Percentages
What is the HCF of \( \frac{8}{5}, \frac{6}{8}, \frac{4}{25} \)?
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Some Problems on HCF and LCM
In a clearance sale, goods were sold at a reduction of 20%. Sarika purchased a saree for ₹984 in the clearance sale. The usual price of the saree was:
NCHMCT JEE - 2024
NCHMCT JEE
Quantitative Aptitude
Percentages
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
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