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Quantitative Aptitude
List of top Quantitative Aptitude Questions
The sum of the squares of three consecutive integers is 110. What is the smallest integer?
CAT - 2015
CAT
Quantitative Aptitude
Basic Algebra
A car travels from A to B at 60 km/h and returns at 40 km/h. If the total time taken is 5 hours, what is the distance between A and B?
CAT - 2015
CAT
Quantitative Aptitude
Time, Speed and Distance
The sum of the first $n$ terms of an arithmetic progression is $S_n = 3n^2 + 2n$. What is the 5th term?
CAT - 2015
CAT
Quantitative Aptitude
Arithmetic Progressions
If $2^x = 3^y = 6^z$, what is the value of $xy$ in terms of $z$?
CAT - 2015
CAT
Quantitative Aptitude
Basic Algebra
A rectangular garden has a perimeter of 100 meters and an area of 600 m². What is the length of the garden?
CAT - 2015
CAT
Quantitative Aptitude
Mensuration
A man invests Rs. 5000 at 5% simple interest per annum. How much interest will he earn after 3 years?
CAT - 2015
CAT
Quantitative Aptitude
Simple Interest
A and B can complete a work in 12 days, B and C in 15 days, and A and C in 20 days. How long will A alone take to complete the work?
CAT - 2015
CAT
Quantitative Aptitude
Time & Work
What is the remainder when \(3^{100}\) is divided by 7?
CAT - 2015
CAT
Quantitative Aptitude
Number Systems
A pipe can fill a tank in 6 hours, and another pipe can empty it in 8 hours. If both pipes are opened together, how long will it take to fill the tank?
CAT - 2015
CAT
Quantitative Aptitude
Pipes & Cisterns
If $a + b + c = 12$ and $a^2 + b^2 + c^2 = 50$, what is the value of $ab + bc + ca$?
CAT - 2015
CAT
Quantitative Aptitude
Basic Algebra
The ratio of the speeds of two trains is 3:4. If the second train covers 400 km in 5 hours, what is the speed of the first train?
CAT - 2015
CAT
Quantitative Aptitude
Time, Speed and Distance
A man travels 300 km, partly at 60 km/h and partly at 80 km/h. If the total time taken is 4.5 hours, how many kilometers did he travel at 60 km/h?
CAT - 2015
CAT
Quantitative Aptitude
Time, Speed and Distance
A shopkeeper sells an item at a 20% discount on the marked price and still makes a 25% profit on the cost price. If the cost price is Rs. 400, what is the marked price?
CAT - 2015
CAT
Quantitative Aptitude
Profit and Loss
The HCF of two numbers is 12, and their LCM is 144. If one number is 36, what is the other number?
CAT - 2015
CAT
Quantitative Aptitude
Number Systems
If the sum of two numbers is 15 and their product is 56, what is the sum of their reciprocals?
CAT - 2015
CAT
Quantitative Aptitude
Basic Algebra
Read the following information and answer the question The production, sales and price of companies A, B, C, D, E for the year 2013 and 2014 are given in the following table. Study the following table and answer the question accordingly.
that follows:
Company
PRODUCTION IN
1000 IN 2013
SALES IN
100 IN 2013
PRICE/CAR IN
LAKHS IN 2013
COMPANY A
25
185
6
COMPANY B
36
330
3.5
COMPANY C
19
115
7
COMPANY D
15
121
5
COMPANY E
30
249
4.5
Company
PRODUCTION IN
1000 IN 2014
LAKHS IN 2014
COMPANY A
21
160
6
COMPANY B
39
290
3.2
COMPANY C
27
225
6.5
COMPANY D
18
95
6
COMPANY E
30
220
5
ATMA - 2015
ATMA
Quantitative Aptitude
Data Interpretation
The ratio of the number of marbles between A and B is 27 : 39 and that with B and C is 117:119. If C has 1071 number of marbles with him then find the total number of marbles among A, B and C.
ATMA - 2015
ATMA
Quantitative Aptitude
Ratio and Proportion
Rs 66500 is distributed among A, B and C in the ratio of 9:11:15. Find the difference between the share of A and C.
ATMA - 2015
ATMA
Quantitative Aptitude
Shares
A man buys certain number of bananas at 3 per rupee and same number at 7 per rupee. He mixes them together and sells at 10 per rupee. Find the gain or loss %.
ATMA - 2015
ATMA
Quantitative Aptitude
Percentage
A vendor on discovering that 20% of the eggs were rotten, increased his selling price by 15% more than the 15% he was already charging. Find the percentage profit.
ATMA - 2015
ATMA
Quantitative Aptitude
Percentage
A trader decides to sell a kilogram of sugar at its cost price. But he uses false weights and sells only 900 grams instead of a kilogram. What is the percentage of profit?
ATMA - 2015
ATMA
Quantitative Aptitude
Percentage
A boy buys 20 candies at Rs.2 per piece. He buys five chocolates at Rs.7 per piece. At what value should he sell them to make a profit of Re.1 per piece?
ATMA - 2015
ATMA
Quantitative Aptitude
Linear Equations
A showroom offers one item free on the purchase of every five items. What is the discount offered by the showroom?
ATMA - 2015
ATMA
Quantitative Aptitude
Linear Equations
A bag contains Rs.2 and Rs.10 coins in the ratio 21:34 respectively, which amounts to Rs.3438, then find the number of Rs.10 coins.
ATMA - 2015
ATMA
Quantitative Aptitude
Ratio and Proportion
A's present age is 2.5 times the age of B. If after 2.5 years the ratio of their ages is 11:5, then find the present age of B?
ATMA - 2015
ATMA
Quantitative Aptitude
distance
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