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.  In a 90 litres mixture of water and milk, the water is 30%. How many litres of water is required to increase the percentage of water in the mixture to 40%?

Ans:3
Milk :Water = 7:3
i.e quantity of water = 3/10 × 90 =27litres
and quantity of milk = 63
Now required ratio is 6:4 i.e. 3:2
Quantity of milk =63 =3x/5
=>x= 105 litres
i.e. required quantity of water = 42litres
Increase = 42 – 27 =15 litres. Hence, option c.

 

2. Priya was married to Rajesh at the age of 24 years. Her present age is 4/3 times her age at the time of marriage. The present age of their son is 18.75% of the age of Priya at present. Rajesh is 29 years older to his son, then find the age of Rajesh at the time of his marriage.

Ans:4
Age of priya at present = 24 * (4/3) = 32 years
Present age of their son = 18.75% of 32 = 6 years
Present age of Rajesh = 6 + 29 = 35 years
Since Rajesh got married before 8 years from present. So, age of Rajesh at the time of his marriage = 35 – 8 = 27 years

 

3. The base radii of two cylinders are in the ratio of 3:4 and their heights are in the ratio of 7:6. The ratio of their volume is

Ans:1
R1:R2=3:4H1:H2=7:6

Volume1/volume2=π(R1)2H/π(R2)2H=32*7/42*6=21:32

 

4. A shopkeeper sold 24 shirts at a profit of 20% and 16 shirts at a profit of 10%. If he had sold all the 40 shirts at a profit of 15%, then his profit would have been reduced by Rs. 36. What is the cost price of each shirt?

Ans:3
Let the cost price of each shirt be Rs. x, therefore, 24 × 1.2x + 16 × 1.1x – 40 × 1.15x = Rs. 36, solving we get x = Rs. 90. Hence, option c.

 

5. Raju bought a bike whose sale price was Rs. 50,000. He availed 30% discount on it under exchange offer and then 20% discount as credit card discount. Then he spent 15% of its sale price on its maintenance. At what price should he sell that bike to earn 15% profit?

Ans:1
Price = Rs. 50,000.
After 30% discount, Price= Rs. 35000
After, 20% discount on this, Price = Rs. 28000
CP for Raju = Rs. 28000 +(15% of 50,000) = Rs. 35,500
SP = 1.15 * 35500 = Rs. 40825. Hence, option a.

 

6. A coaching center has increased the tuition fee by 30 % and simultaneously the number of students is decreased by 10%. What is the percentage change in the total amount collected by coaching centre?

Ans:2
Let the tuition fee be y and number of students be x.
Total amount collected = xy
Now,
Tuition fee = x + 0.3x = 1.3x
Number of students = y – 0.1y = 0.9y
Total amount = 1.3x * 0.9y = 1.17xy
Change =1.17xy – xy = 0.17xy
i.e, 17% increase. Hence, option b.

 

7. P, Q and R started a business by investing ½, 1/3rd and 1/6th of the capital respectively. After 1/3rd of the total time, P withdrew his capital completely and after 1/4th of the total time Q withdrew his capital. R kept his capital for the full period. The ratio in which the total profit is to be divided amongst the partners is

Ans:3
Let X be the total investment for total time period Y
P’s share = (X/2) * (Y/3)
Q’s share = (X/3) * (Y/4)
R’s share = (X/6) * Y
Required ratio = 1/6 : 1/12 : 1/6 = 2:1:2

 

8. At what interest rate will a sum of money double itself in 3 years if the interest is compounded annually?

Ans:2
A = P (1+ r/100)TAs per the question, A = 2P

=> 2P = P (1 + r/100)3

⇒(1 + r/100)3 = 2

⇒1 + r/100 = 21/3

⇒ r/100 = 21/3 – 1 = 1.26 – 1 = 0.26

⇒ r = 26%

 

9. A bus covered a certain distance from village A to village B at the speed of 60 km/hr. However on its return journey it got stuck in traffic and covered the same distance at the speed of 40 km/hr and took 2 hours more to reach Its destination. What is the distance between village A and B?

Ans:1
Let the distance between A and B be ‘x’ km
Let the time taken by bus while travelling from A to B be ‘t’ hours. Therefore, time taken by the bus from B to A is ‘t+2’ hours
Time taken from A to B = t = x/60
Time taken from B to A = t + 2 = x/40
(x/60) + 2 = x/40
or x/120 = 2 or x = 240 km

 

10. A cistern has 3 pipes A, B and C. A and B can fill it in 3 hours and 4 hours respectively while C can empty the completely filled cistern in 1 hour. If the pipes are opened in order at 3, 4 and 5 p.m. respectively, at what time will the cistern be empty?

Ans:2
Pipe A can fill 1/3 rd of the cistern in 1 hour
Pipe B can fill ¼ th of the cistern in 1 hour
Pipe C can empty the cistern in 1 hour
Pipe A is opened at 3 pm. By 4 pm, 1/3 rd of the tank is filled
At 4 pm, pipe B is also opened. Hence, the fraction of cistern filled between 4 pm and 5 pm = 1/3 + 1/4 = 7/12
By 5 pm, portion of the cistern filled = 1/3 + 7/12 = 11/12
At 5 pm, pipe C is opened. From 5 pm, all 3 pipes will be open
Portion of the cistern emptied in one hour when all 3 pipes are opened = 1 – 1/3 – 1/4 = (12 – 4 – 3)/12 = 5/12
Hence, to empty 11/12 th of the cistern, time taken = (11/12)/(5/12) = 2.2 hours
Time taken to empty cistern = 2.2 hours i.e. 2 hours and 12 minutes
Hence, at 7.12 pm, the cistern will be empty

 

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