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ITBP Arithmetic Algebra Mensuration — practice questions

Explore 31 free Arithmetic Algebra Mensuration questions in ITBP Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Arithmetic Algebra Mensuration questions and exercises with answers

Showing questions 1–30 of 31.

What is 15% of 320?Read the answer and worked solution →If 30% of a number is 96, the number isRead the answer and worked solution →A number is first increased by 20% and then decreased by 20%. The net change isRead the answer and worked solution →If the price of sugar rises by 25%, by what percent must consumption fall to keep expenditure unchanged?Read the answer and worked solution →A's salary is 25% more than B's. By what percent is B's salary less than A's?Read the answer and worked solution →An article is sold for Rs 800 at a profit of 25%. The cost price isRead the answer and worked solution →By selling a watch for Rs 1080 a trader earns 8% profit. The CP isRead the answer and worked solution →A trader marks his goods 30% above CP and gives 10% discount. His profit per cent isRead the answer and worked solution →A shopkeeper marks goods 40% above CP. To earn a profit of 12% he should give a discount ofRead the answer and worked solution →If a : b = 3 : 4 and b : c = 5 : 7, then a : c isRead the answer and worked solution →Three numbers are in the ratio 2 : 3 : 5. Their sum is 200. The largest number isRead the answer and worked solution →If 4 men can do a job in 9 days, how many days will 6 men take?Read the answer and worked solution →The average of 9 numbers is 25. If one number, 35, is removed, the average of the remaining isRead the answer and worked solution →The average age of a class of 20 students is 16 years. When the teacher is included, the average rises to 17. The teacher's age isRead the answer and worked solution →The average of first five multiples of 3 isRead the answer and worked solution →A can do a piece of work in 12 days and B in 18 days. Together they finish it inRead the answer and worked solution →A train 150 m long crosses a platform 250 m long in 20 seconds. Its speed in km/h isRead the answer and worked solution →A boat goes 16 km downstream in 2 hours and returns upstream in 4 hours. The speed of stream isRead the answer and worked solution →A man walks at 5 km/h from home to office in 36 minutes. The distance isRead the answer and worked solution →The simple interest on Rs 6000 at 10% per annum for 2 years isRead the answer and worked solution →Compound interest on Rs 5000 at 10% per annum for 2 years (compounded annually) isRead the answer and worked solution →A sum of money doubles itself in 8 years at simple interest. The rate per annum isRead the answer and worked solution →If x + y = 12 and x - y = 4, then xy equalsRead the answer and worked solution →The sum of three consecutive natural numbers is 72. The middle number isRead the answer and worked solution →The smallest number divisible by both 12 and 18 isRead the answer and worked solution →The area of a circle with radius 7 cm is (use pi = 22/7)Read the answer and worked solution →The perimeter of a square is 36 cm. Its area isRead the answer and worked solution →The volume of a cube of side 4 cm isRead the answer and worked solution →In a right triangle with legs 5 cm and 12 cm, the hypotenuse isRead the answer and worked solution →Key in the arithmetic answerRead the answer and worked solution →

Worked practice questions

What is 15% of 320?

  1. 48
  2. 52
  3. 54
  4. 42
Show answer and solution

Correct answer: A. 48

0.15 x 320 = 48. Quick check: 10% = 32, 5% = 16, total = 48.

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If 30% of a number is 96, the number is

  1. 280
  2. 320
  3. 340
  4. 360
Show answer and solution

Correct answer: B. 320

0.30 N = 96, so N = 320. Check: 30% of 320 = 96.

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A number is first increased by 20% and then decreased by 20%. The net change is

  1. 4% decrease
  2. 4% increase
  3. No change
  4. 2% decrease
Show answer and solution

Correct answer: A. 4% decrease

**Successive percentage change:** a + b + ab/100 = 20 + (-20) + (20)(-20)/100 = -4%. Equivalently, 1.20 x 0.80 = 0.96 = 4% decrease.

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