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NCHM JEE Numerical Ability Mock Tests & Questions

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NCHM JEE Mock Test Practice Series Free Online 2026

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Full test: 60 min · 199 questions · 796 marks

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Showing 30 of 30 matching questions

Hotel Management NCHM JEE Numerical Ability Easy MCQ (Single Correct)
Find the value of: \(\dfrac{\sqrt[3]{3375}+\sqrt{144}}{\sqrt[3]{729}+\sqrt[3]{1728}}\)
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Hotel Management NCHM JEE Numerical Ability Medium MCQ (Single Correct)
A wooden cuboidal box with lid has external dimensions \(80\,\text{cm}\times 49\,\text{cm}\times 30\,\text{cm}\). If thickness of the wood is 2 cm, then find the volume of the wood (in \(\text{cm}^3\)) used.
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Hotel Management NCHM JEE Numerical Ability Medium MCQ (Single Correct)
What is the area of an isosceles triangle whose perimeter is 11 cm and base is 5 cm?
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Hotel Management NCHM JEE Numerical Ability Medium MCQ (Single Correct)
22 solid metallic cubes of side 4 cm are melted and 16 equal solid cylinders of height 7 cm are formed. Find the radius (in cm) of the cylinders so formed. \(\left(\pi=\dfrac{22}{7}\right)\)
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Hotel Management NCHM JEE Numerical Ability Easy MCQ (Single Correct)
If \(A:B=2:3\), \(A:C=6:7\), \(C:D=14:15\), then find \(A:B:C:D\).
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Hotel Management NCHM JEE Numerical Ability Easy MCQ (Single Correct)
A vessel contains 100 liters of solution having 80 liters of spirit and the remaining is water. If 20 liters of the mixture is taken out from the vessel and replaced by water, then what will be the ratio of spirit to wat…
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Hotel Management NCHM JEE Numerical Ability Medium MCQ (Single Correct)
A shopkeeper sold two electric irons at ₹ 1344 each. He earned \(12\%\) profit on one iron and lost \(4\%\) on the other. Find his overall profit percentage (correct to 2 decimal places).
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Hotel Management NCHM JEE Numerical Ability Medium MCQ (Single Correct)
A shopkeeper allowed successive discounts of \(12\%\) and \(x\%\) on every item. A customer paid ₹ 15048 for an item marked for ₹ 18000. Find the value of \(x\).
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Hotel Management NCHM JEE Numerical Ability Medium MCQ (Single Correct)
Simplify: \((27)^{-\frac{1}{3}}\times(27)^{-\frac{1}{3}}\times\left(27^{\frac{1}{3}}-27^{\frac{2}{3}}\right)\)
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Hotel Management NCHM JEE Numerical Ability Hard MCQ (Single Correct)
Find the value of \(p^3-27q^3\) if \(p-3q=-7\) and \(pq=-10\).
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Hotel Management NCHM JEE Numerical Ability Medium MCQ (Single Correct)
The value of \(\left(2.3\overline{6}-0.1\overline{4}\right)\) expressed as fraction in lowest terms is:
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Hotel Management NCHM JEE Numerical Ability Medium MCQ (Single Correct)
If \(P=\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+\dfrac{1}{30}\), then find the value of \(\sqrt{6(9-P)}\).
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Hotel Management NCHM JEE Numerical Ability Easy MCQ (Single Correct)
Which of the following is correct for a number to be divisible by 8?
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Hotel Management NCHM JEE Numerical Ability Medium MCQ (Single Correct)
If the mean of the observations \(k,\ (k+8),\ (2k-1),\ (k+12),\ 12\) and \(17\) is 13, then find the median of these observations.
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Hotel Management NCHM JEE Numerical Ability Easy MCQ (Single Correct)
Aniket can row a boat, 21 km downstream in 1 hr 30 min and 20 km upstream in 2 hours. He can row the boat in still water at the speed of (in km/h).
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Hotel Management NCHM JEE Numerical Ability Medium MCQ (Single Correct)
To reduce the usual time taken to cover a distance of 300 km by 1 hour, the speed of a bus is increased by 10 km/h. The usual speed of the bus (in km/h) is:
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Hotel Management NCHM JEE Numerical Ability Easy MCQ (Single Correct)
In a class, there are 40 students. Their average marks in a test are 33. If the average marks of the boys are 30 and that of the girls are 35, then what is the number of boys in the class?
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Hotel Management NCHM JEE Numerical Ability Medium MCQ (Single Correct)
The average weight of 11 persons in a group of 12 persons is 64 kg. The weight of the 12th person is 22 kg more than the average weight of all the 12 persons. The weight of the 12th person (in kg) is:
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Hotel Management NCHM JEE Numerical Ability Medium MCQ (Single Correct)
Four men can do \(60\%\) of a work in 6 days, whereas 6 women can do \(50\%\) of the same work in 5 days. How many days will 2 men and 3 women take to do the work if they work together?
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Hotel Management NCHM JEE Numerical Ability Medium MCQ (Single Correct)
4 men can do a work in 5 days and 5 women can do it in 6 days. How many women should work with 2 men to complete the work in 5 days?
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Hotel Management NCHM JEE Numerical Ability Medium MCQ (Single Correct)
Aditya and Bipin entered into a partnership by investing ₹ 40,000 and ₹ 50,000, respectively. After 4 months, Aditya made additional investment equal to \(\left(\dfrac{1}{4}\right)^{\text{th}}\) of his investment and Bip…
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Hotel Management NCHM JEE Numerical Ability Medium MCQ (Single Correct)
Two years ago, the ages of Rekha and Shruti were in the ratio \(2:3\). Three years hence, the ratio will become \(3:4\). How old will Shruti be after 8 years from now?
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Hotel Management NCHM JEE Numerical Ability Easy MCQ (Single Correct)
Simplify: \(15+60\div15\times2-1\)
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Hotel Management NCHM JEE Numerical Ability Medium MCQ (Single Correct)
What smallest number should be subtracted from 81025 to get a perfect square number?
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Hotel Management NCHM JEE Numerical Ability Easy MCQ (Single Correct)
If the adjacent sides of a rectangle are increased by \(35\%\) and \(20\%\), respectively, then by what percent will its area increase?
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Hotel Management NCHM JEE Numerical Ability Hard MCQ (Single Correct)
In an election between two candidates, \(12\%\) votes did not cast their vote. \(\left(\dfrac{1}{6}\right)^{\text{th}}\) of the votes casted were found to be invalid. The winner obtained \(55\%\) of the valid votes and w…
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Hotel Management NCHM JEE Numerical Ability Medium MCQ (Single Correct)
Find the LCM of the numbers: \(\dfrac{4}{9},\ \dfrac{8}{15},\ \dfrac{6}{9},\ \dfrac{12}{21},\ \dfrac{14}{33}\)
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Hotel Management NCHM JEE Numerical Ability Medium MCQ (Single Correct)
The LCM of two numbers is 15 times their HCF. If the sum of their LCM and HCF is 160 and one of the numbers is 50, then what is the other number?
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Hotel Management NCHM JEE Numerical Ability Medium MCQ (Single Correct)
On simple interest a certain sum amounts to ₹ 14061 in 6 years and to ₹ 16023 in 8 years on the same rate of interest. The rate of interest per annum is:
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Hotel Management NCHM JEE Numerical Ability Medium MCQ (Single Correct)
A certain sum on compound interest becomes ₹ 19573 at \(15\%\) per annum in 2 years. Find the compound interest on the same sum at \(10\%\) per annum in 2 years.
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