NIMCET Arithmetic Reasoning Previous Year Questions (PYQs) – Page 2 of 3
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Showing 27 questions
A cat climbs a 21- meter pole. In the
first minute it climbs 3 meter and in the second minute it descends one meter.
In how minutes the cat would reach the top of the pole?
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Solution
✅ Final Answer:
The cat will reach the top in 21 minutes.
In a recent survey of 500 employees in
a company, it was found that 60% of the employees prefer coffee over tea, 25%
prefer tea over coffee, and the remaining 15% have no preference. If 20% of the
employees who prefer coffee are also tea drinkers, how many employees prefer
only tea?
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Solution
Family Age Puzzle: Arjun's Birth Year
Given:
- Arjun is 25 years younger than his mother.
- His brother was born in 1964 and is 35 years younger than their mother.
Step-by-Step Solution:
- Mother’s birth year = 1964 − 35 = 1929
- Arjun’s birth year = 1929 + 25 = 1954
✅ Final Answer: Arjun was born in 1954.
Divide Rs. 1074 (in whole Rs., having incremental amounts) into a number of bags so that any amount between Rs. 1 and Rs. 1074 can be given by selecting some bags without opening them. What is the minimum number of bags required?
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Solution
This is a binary-weight problem.
Minimum bags needed = smallest n such that
1 + 2 + 4 + … + 2ⁿ ≥ 1074
2¹¹ − 1 = 2047 ≥ 1074
So minimum bags = 11
The ratio between a two-digit number and the sum of the digits of that number is 4 : 1. If the digit in the unit’s place is 3 more than the digit in ten’s place, then the number is
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Solution
In
the figure, the circle stands for employed, the square stands for a social
worker, the triangle stands for illiterate, and the rectangle stands for
truthful. Study the figure with its regions and find the number of neither
truthful nor illiterate people among the employed only.
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Solution
$\text{Which of the following are greater than } x \text{ when } x=\frac{9}{11}?$
$(I)\ \frac{1}{x}$
$(II)\ \frac{x+1}{x}$
$(III)\ \frac{x+1}{x-1}$
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Solution
$ x=\frac{9}{11}<1,\ \frac{1}{x}>x,\ \frac{x+1}{x}>1>x,\ \frac{x+1}{x-1}<0.$
There were a total of 10 bicycles and tricycles. If the total number of wheels was 24, how many tricycles were there?
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Solution
Let tricycles $=t$, bicycles $=10-t$
Total wheels $=3t+2(10-t)=24$
$3t+20-2t=24 \Rightarrow t=4$
An airline has a certain free luggage allowance and charges for excess luggage at a fixed rate per kg.
Raja and Rahim have 60 kg luggage between them and are charged Rs. 1200 and Rs. 2400 respectively.
If the entire luggage belonged to one person, the charge would be Rs. 5400.
What is the weight of Rahim’s luggage?
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Solution
Let free allowance = x kg, rate = r
From given charges and combined condition, solving gives
Rahim’s luggage = 25 kg.
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