300+ Arithmetic Questions and Answers for Competitive Exams [100% Free ]

300+ Most Asked Arithmetic Questions and Answers

Have you ever stumbled upon arithmetic questions and answers during your exam preparations, only to realize their significance? Well, you’re not alone. This article delves deep into arithmetic questions and answers, offering an extensive collection for aspirants. If you’re preparing for competitive exams like CAT, you might have come across specific arithmetic questions for CAT. These aren’t your typical simple arithmetic questions; they challenge your understanding and application of concepts.

For those just starting, you might wonder, “What exactly is arithmetic?” In the vast realm of mathematics, arithmetic stands out as the branch that deals with numbers. Specifically, it entails operations such as addition, subtraction, multiplication, and division – these are famously known as arithmetic operations. When faced with arithmetic questions and answers, it’s essential to be well-versed with the BODMAS rule, ensuring each question is tackled accurately.

While some might think of them as just simple arithmetic questions, there’s more to it. You might come across specialized Arithmetic Questions and Answers or seek out an arithmetic questions and answers pdf for comprehensive preparation. Some resources even specialize in providing simple arithmetic questions and answers for competitive exams pdf, ensuring you’re always ready, no matter the challenge.

One of the salient points that every aspirant must be aware of is the importance of percentage questions. Whether you’re attempting the Bank, SSC, Railways, CAT, or any other government exam, this chapter holds paramount importance.

Not only do we cover arithmetic questions and answers in this article, but we also provide a plethora of resources, from simple arithmetic questions to arithmetic questions for CAT, even extending to comprehensive arithmetic questions and answers pdf. Whether you need simple arithmetic questions and answers or are on the lookout for Arithmetic Questions and Answers, we have got you covered.

Furthermore, if you wish to have an all-in-one resource, our extensive collection of simple arithmetic questions and answers for competitive exams pdf might just be what you need. Dive in, practice, and ace those exams!

1. Sea water contains 5% salt by weight. How many kg of fresh water must be added to 40 kg of sea water for the salt content of the solution to be 2%?

Ans:1
There is 5% of salt in 40 kg of sea water
So, amount of salt in 40 kg of sea water is = 5/100 * 100 = 2 kg
Let the amount of fresh water need to be added be x kg
2kg/(40+x)kg = 2% = 2/100
100 = 40 + x
X = 60kg

 

2. The breadth of a rectangle is three-fourth of its length. The area of rectangle is 1728m2. Find the perimeter of the rectangle?

Ans:5
Let length = ‘L’
Breath = ‘B’ = 3L/4
Area = L*B
= L*3L/4
= 3L2/4
= 1728
L2 = 2304
L = 48 and B = 36
Perimeter = 2(L+B) = 168m

 

3. Present ages of SRK and Akshay are in the ratio of 6:5. After 4 years, the ratio of their ages become 10:9 respectively. Calculate the present age of SRK?

Ans:1
Let SRKs age be 6x and Akshays age be 5x,
(6x+4)/(5x+4) = 10/9
54x + 36 = 50x + 40
=> x = 1
=> SRK’s age = 6*1= 6 years.

 

4. Pawan and Arun started a business with an initial investment of Rs.5000 and Rs.4500 respectively. Pawan adds Rs.250 after 6 months while Arun adds Rs.500 after every 4 months. They used their amount of profit received from the first business at the end of 1 year to start another business. If the ratio of profit from the second business is 41 : 36, then find the ratio of time for which they invested their capital in second business?

Ans:2
Ratio of profit from the first business = (5000 * 6 + 5250 * 6) : (4500 * 4 + 5000 * 4 + 5500 * 4)
=> 61500 : 60000 = 41 : 40
In second business:
Let the amount invested by Pawan be 41x for a time period of T1
Let the amount invested by Arun be 40x for a time period of T2
Ratio of profit from second business = (41x * T1): (40x * T2) = 41: 36
(41x * T1)/ (40x * T2) = 41/ 36
T1/T2 = 10/9
Required ratio = T1: T2 = 10 : 9

 

5. In a competitive exam, the minimum passing percentages for XL and Unreserved are 25% and 45% respectively. An Unreserved candidate scored 83 marks and failed by 25 marks. What is the minimum passing marks for XL?

Ans:3
Passing marks for the Unreserved category = 83 + 25 = 108
∴ 45% of the total marks = 108
=> Total marks = 108/0.45 = 240
∴ Passing marks for XL category = 0.25 * 240 = 60

 

6. A book was sold for Rs. 276 with a profit of 15 %. If it were sold for Rs. 255, then what would have been the percentage profit or loss?

Ans:1
Given, S.P. = Rs. 276 and the Profit = 15%
So, C.P. = 276/1.15 = Rs. 240
When S.P. = Rs. 255,
Profit = Rs. 255 – Rs. 240 = Rs. 15
Therefore, Profit % = (15/240 * 100)% = 6.25%

 

7. Calculate the percentage decrease in consumption of an article if the price is increased by 20% and expenditure is kept same.

Ans:1
Let price = 100
Consumption = 100
New price = 120
New Consumption = x
100*100 = 120*x
x = 100*100/120
250/3
Percentage decrease = (100-250/3)/100 * 100 = 50/300 * 100 = 50/3%
SHORTCUT
Percentage decrease in consumption = (a/(100+a))*100
a = 20%
Percentage decrease in consumption = 20/120 * 100 = 50/3%

 

8. Total interest received from a sum of Rs.12250 at the end of 4 years at certain rate of simple interest is Rs.840 more than the interest received from another sum of Rs.21000 at the end of 2 years at the same rate of simple interest. Find the rate of interest.

Ans:1
Let the interest = R%
Interest received from first sum = (12250 * R * 4)/100 = 490R
Interest received from second sum = (21000 * R * 2)/100 = 420R
According to question-
=> 490R – 420R = 840
=> 70R = 840
=> R = 12%

 

9. A boat takes 12 minutes to row a distance of 10km upstream and it takes 6 minutes to row the same distance downstream. Calculate the speed of boat in still water.

Ans:2
Speed of boat upstream in km/h = 10/12 * 60 = 50 km/h
Speed of boat downstream in km/h = 10/6 * 60 = 100 km/h
Speed of boat in still water = (50 + 100) /2 = 75 Km/h

 

10. A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. How many days B alone will take to finish the work?

Ans:1
Let’s suppose A takes 6n days to finish the work hence B will take 3n days and C will take 2n days to finish the work.
Let’s suppose total work = 1 unit
Hence; 1/6n+1/2n+1/3n=1/2
=> 1/n=1/2
=> n = 2
Hence time taken by B = 3n days = 6 days