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Quantitative Aptitude
List of top Quantitative Aptitude Questions
The numbers $1, 2, \dots, n$ are written in natural order. Numbers in odd places are struck off to form a new sequence. This process is continued until only one number is left. If $n = 1997$, find the last remaining number.
CAT - 2014
CAT
Quantitative Aptitude
Number System
For an odd positive integer $n$ ($51 \le n \le 99$), the quantity $n^3 - n$ is always divisible by:
CAT - 2014
CAT
Quantitative Aptitude
Number System
The area of a rectangle is 48 cm$^2$, and its perimeter is 28 cm. What is the length of the rectangle?
CAT - 2014
CAT
Quantitative Aptitude
Geometry
If the area of a circle is $154$ cm$^2$, what is its circumference?
CAT - 2014
CAT
Quantitative Aptitude
Geometry
A man has Rs. 2000 in Rs. 10 and Rs. 20 notes. He has 150 notes in total. How many Rs. 10 notes does he have?
CLAT - 2014
CLAT
Quantitative Aptitude
Linear Equations
Farmer has hens and goats. Total heads = 80, total feet = 200. Find number of goats.
CLAT - 2014
CLAT
Quantitative Aptitude
Linear Equations
Difference between SI and CI (compounded annually) on Rs. 2000 for 2 years at 8% per annum.
CLAT - 2014
CLAT
Quantitative Aptitude
Compound Interest
A starts business with Rs. 5000. B joins 5 months later with Rs. 6000. After a year, profit = Rs. 34,000. Find A’s and B’s shares.
CLAT - 2014
CLAT
Quantitative Aptitude
Partnership
Square field has area = \( 324 \ \text{m}^2 \). Find perimeter.
CLAT - 2014
CLAT
Quantitative Aptitude
Mensuration
A closed metal box measures \( 30 \ \text{cm} \times 20 \ \text{cm} \times 10 \ \text{cm} \). Thickness of the metal is 1 cm. Find the volume of metal required to make the box.
CLAT - 2014
CLAT
Quantitative Aptitude
Mensuration
Dealer marks goods 20% above cost and gives 10% discount. Find gain percent.
CLAT - 2014
CLAT
Quantitative Aptitude
Profit and Loss
If 80% of A = 20% of B and B = 5% of A, find value of x.
CLAT - 2014
CLAT
Quantitative Aptitude
Percentage
Employer reduces employees in ratio 8:5 and increases wages in ratio 7:9. Find change in total wage bill.
CLAT - 2014
CLAT
Quantitative Aptitude
Ratio and Proportion
‘A’ can do a piece of work in 20 days and ‘B’ can do it in 15 days. How long will they take to finish together?
CLAT - 2014
CLAT
Quantitative Aptitude
Time and Work
Father is 3 yr older than mother, and mother’s age is twice daughter’s age. Daughter is 20 now. Find father’s age when daughter was born.
CLAT - 2014
CLAT
Quantitative Aptitude
Problem on Age
A mixture of 40 L of alcohol and water contains 10% water. How much water should be added to this mixture so that the new mixture contains 20% water?
CLAT - 2014
CLAT
Quantitative Aptitude
Mixtures and Allegations
A person covers a certain distance at 30 km/h and returns at 40 km/h. Average speed = ?
CLAT - 2014
CLAT
Quantitative Aptitude
Time, Speed and Distance
A man rows 5 km/h in still water. Current speed = 1 km/h. It takes 3 h more upstream than downstream for same distance. Find the distance.
CLAT - 2014
CLAT
Quantitative Aptitude
Time, Speed and Distance
A person spends \( \frac{1}{3} \) of his income on food, \( \frac{1}{4} \) on house rent, and the remaining Rs. 630 on other items. The house rent is:
CLAT - 2014
CLAT
Quantitative Aptitude
Arithmetic Operations
There are 30 boys and 40 girls in a class. Average age of boys = 10 years, average age of girls = 8 years. Find the average age of the whole class.
CLAT - 2014
CLAT
Quantitative Aptitude
Average
Probability of corpse being the missing man given independent events:
- Gold-plated tooth: 1 in 5000
- Left hand thumb fracture: 1 in 20000
- Right ear pierced: 1 in 100
CLAT - 2014
CLAT
Quantitative Aptitude
Probability
The Least Common Multiple (LCM) of 0.12, 9.60, and 0.60 is:
CLAT - 2014
CLAT
Quantitative Aptitude
Arithmetic Operations
Find the value of \(A\) in: \[ 5 + 12 \times 10 \times \frac{120}{240} = A \times 10 \]
CLAT - 2014
CLAT
Quantitative Aptitude
Arithmetic Operations
The next number in the sequence is: 19, 29, 37, 43, …
CLAT - 2014
CLAT
Quantitative Aptitude
Number Series
Rohan and Sohan start from the same point on a circular track in the same direction. Speed of Rohan is nine times Sohan. How many times are they diametrically opposite by the time Sohan completes 3 rounds?
CAT - 2014
CAT
Quantitative Aptitude
Time, Speed and Distance
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