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Quantitative Aptitude
List of top Quantitative Aptitude Questions
A series in which any term is equal to the sum of the preceding two terms is called a Fibonacci series. The first two terms are given initially and determine the series. It is known that the difference of the squares of the ninth and eighth terms of a Fibonacci series is $840$. Find the 12th term of that series.
CAT - 2014
CAT
Quantitative Aptitude
Number System
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
Dealer marks goods 20% above cost and gives 10% discount. Find gain percent.
CLAT - 2014
CLAT
Quantitative Aptitude
Profit and Loss
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
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
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
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
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 next number in the sequence is: 19, 29, 37, 43, …
CLAT - 2014
CLAT
Quantitative Aptitude
Number Series
If $a_1,a_2,\....,a_n$ $(n>3)$ are all unequal positive real numbers and \[ E = \frac{(1+a_1+a_1^2)(1+a_2+a_2^2)\dots(1+a_n+a_n^2)}{a_1 a_2 \dots a_n}, \] then which of the following best describes $E$?
CAT - 2014
CAT
Quantitative Aptitude
Number System
On a certain day, the sum of the date and the square root of the month gives the square of the month. Find the date.
CAT - 2014
CAT
Quantitative Aptitude
Clock and Calendar
A can do a work in 18 days more than the time taken by A and B together. B can do the same work in 8 days more than the time taken by A and B together. They agree to work with C and complete the work in 10 days. Total payment = ₹18000. Find C's share.
CAT - 2014
CAT
Quantitative Aptitude
Time and Work
In how many ways can 40 sweets be given to A, B, C, and D such that:
- B gets at least 3 sweets,
- D gets at least 5 sweets,
- A and C may get zero sweets.
CAT - 2014
CAT
Quantitative Aptitude
Combinatorics
Harry Potter bought a triangular piece of land of area $150\ \text{m}^2$. Harry measured two sides of the plot and found the largest side to be $50\ \text{m}$ and another side to be $10\ \text{m}$. Find the exact length of the third side.
CAT - 2014
CAT
Quantitative Aptitude
Geometry
Find the sum of the series: \[ 1 + \frac{2}{11} + \frac{5}{12} + \frac{10}{13} + \frac{17}{14} + \dots \]
CAT - 2014
CAT
Quantitative Aptitude
Number System
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