CAT · Quantitative Ability
Number system, arithmetic and algebra
60 practice questions, each with the answer and an explanation.
Practise Number system, arithmetic and algebra now
Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.
All 60 questions
- How many zeroes are there at the end of 150! ?
- How many positive divisors does 200 have?
- The HCF of two numbers is 9 and their LCM is 189. One number is 63. What is the other?
- A boat goes 330 km downstream and returns upstream. Its speed in still water is 13 km/h and the stream flows at 2 km/h. How long does the whole trip take (in hours)?
- In how many ways can the letters of the word BALLOON be arranged?
- Find the area of a triangle with sides 13 cm, 14 cm and 15 cm.
- In an arithmetic progression the first term is 4 and the common difference is 3. How many terms add up to 375?
- What is the compound interest on Rs. 4,000 at 10% per annum for 3 years (compounded annually)?
- A can finish a job in 6 days and B in 3 days. If they work together, in how many days will the job be finished?
- The price of an item is increased by 50% and then reduced by 25%. What is the net change in the price?
- How many integers satisfy (x − 0)(x − 7) < 0?
- How many zeroes are there at the end of 75! ?
- How many positive divisors does 50 have?
- The HCF of two numbers is 6 and their LCM is 36. One number is 18. What is the other?
- A boat goes 418 km downstream and returns upstream. Its speed in still water is 15 km/h and the stream flows at 4 km/h. How long does the whole trip take (in hours)?
- A train 200 m long moving at 90 km/h crosses a platform in 30 seconds. What is the length of the platform (in m)?
- Find the area of a triangle with sides 10 cm, 17 cm and 21 cm.
- In an arithmetic progression the first term is 2 and the common difference is 5. How many terms add up to 2706?
- The price of an item is increased by 40% and then reduced by 20%. What is the net change in the price?
- How many integers satisfy (x − -5)(x − 7) < 0?
- What is the remainder when 7^55 is divided by 9?
- A boat goes 24 km downstream and returns upstream. Its speed in still water is 9 km/h and the stream flows at 3 km/h. How long does the whole trip take (in hours)?
- Find the area of a triangle with sides 6 cm, 25 cm and 29 cm.
- In an arithmetic progression the first term is 4 and the common difference is 3. How many terms add up to 1616?
- What is the compound interest on Rs. 20,000 at 20% per annum for 3 years (compounded annually)?
- The price of an item is increased by 20% and then reduced by 10%. What is the net change in the price?
- How many integers satisfy (x − 0)(x − 4) < 0?
- What is the remainder when 9^17 is divided by 13?
- How many positive divisors does 1372 have?
- The HCF of two numbers is 4 and their LCM is 252. One number is 36. What is the other?
- A boat goes 70 km downstream and returns upstream. Its speed in still water is 12 km/h and the stream flows at 2 km/h. How long does the whole trip take (in hours)?
- A train 150 m long moving at 72 km/h crosses a platform in 20 seconds. What is the length of the platform (in m)?
- In how many ways can the letters of the word ARRANGE be arranged?
- In an arithmetic progression the first term is 2 and the common difference is 6. How many terms add up to 2160?
- What is the compound interest on Rs. 8,000 at 10% per annum for 3 years (compounded annually)?
- A can finish a job in 10 days and B in 15 days. If they work together, in how many days will the job be finished?
- The price of an item is increased by 25% and then reduced by 25%. What is the net change in the price?
- What is the remainder when 6^39 is divided by 7?
- How many positive divisors does 24 have?
- A boat goes 60 km downstream and returns upstream. Its speed in still water is 8 km/h and the stream flows at 2 km/h. How long does the whole trip take (in hours)?
- In how many ways can the letters of the word COMMITTEE be arranged?
- In an arithmetic progression the first term is 8 and the common difference is 4. How many terms add up to 1400?
- What is the compound interest on Rs. 5,000 at 20% per annum for 3 years (compounded annually)?
- A can finish a job in 30 days and B in 45 days. If they work together, in how many days will the job be finished?
- What is the remainder when 7^53 is divided by 9?
- How many positive divisors does 686 have?
- The HCF of two numbers is 8 and their LCM is 48. One number is 16. What is the other?
- A boat goes 65 km downstream and returns upstream. Its speed in still water is 9 km/h and the stream flows at 4 km/h. How long does the whole trip take (in hours)?
- In an arithmetic progression the first term is 5 and the common difference is 7. How many terms add up to 920?
- What is the compound interest on Rs. 8,000 at 20% per annum for 3 years (compounded annually)?
- A can finish a job in 18 days and B in 9 days. If they work together, in how many days will the job be finished?
- The price of an item is increased by 50% and then reduced by 20%. What is the net change in the price?
- How many integers satisfy (x − 3)(x − 7) < 0?
- What is the remainder when 7^29 is divided by 9?
- How many zeroes are there at the end of 50! ?
- How many positive divisors does 80 have?
- The HCF of two numbers is 6 and their LCM is 132. One number is 66. What is the other?
- A boat goes 154 km downstream and returns upstream. Its speed in still water is 9 km/h and the stream flows at 2 km/h. How long does the whole trip take (in hours)?
- In how many ways can the letters of the word ALLAHABAD be arranged?
- In an arithmetic progression the first term is 7 and the common difference is 3. How many terms add up to 2620?