# Uttar Pradesh PSC Exam: Numerical Aptitude Questions (Practice_Test 3 of 12)

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- A sphere and a cube have equal surface areas. The ratio of the volume of the sphere to that of the cube is
- 1: 6
- 2: 6
- 6: 3
- 6: 2

Answer: d

- The marked price of a table is ₹ 3000 and is available at successive discounts of 20 % and 10 % respectively. If there is an additional discount of 5 % on cash payment, then what is the cash price of the table?
- ₹ 2400
- ₹ 2160
- ₹ 2100
- ₹ 2052

Answer: d

- A certain sum becomes ₹ 5290 in 2 years and ₹ 6083.50 in 3 years at C. I. The rate of interest per annum is
- 10 %
- 12 %
- 15 %
- 16? %

Answer: c

- A person borrowed ₹ 500@3 % per annum S. I and ₹ 600 at the rate of 4 % per annum on the agreement that the whole amount will be returned only when the total interest becomes ₹ 126. The number of years, after which the borrowed sum is to be returned, is
- 2
- 3
- 4
- 5

Answer: b

- A sum of ₹ 12,000 doubles in 5 years at C. I. What will be the amount after 20 years?
- ₹ 1,20, 000
- ₹ 1,92, 000
- ₹ 1,24, 000
- ₹ 96,000

Answer: b

- A person sold 320 mangoes for the C. P. Of 400 mangoes. His gain percent is
- 10 %
- 15 %
- 12 %
- 25 %

Answer: d

- A person bought some oranges at the rate of ₹ 10 per dozen and bought the same amount of oranges at the rate of ₹ 8 per dozen. He sold these oranges at the rate of ₹ 11 per dozen and gained ₹ 120. The total number of oranges bought by him was
- 30 dozen
- 40 dozen
- 50 dozen
- 60 dozen

Answer: d

- On selling a certain commodity for ₹ 425, there is as much gain as loss on selling it for ₹ 355. The C. P. Of the commodity is
- ₹ 370
- ₹ 385
- ₹ 390
- ₹ 400

Answer: c

- A sum of ₹ 800 amounts to ₹ 920 in three years at S. I. If the rate of interest is increased by 5 % then the amount will increase to
- ₹ 950
- ₹ 980
- ₹ 1010
- ₹ 1040

Answer: d

- Of the three numbers, second is twice the first and is also thrice the third. If the average of the three numbers is 44, the largest number is
- 24
- 36
- 17
- 72

Answer: d

- A house owner wants to get his house painted. He is told that this would require 25 kg of paint. Allowing for 15 % wastage and assuming that the paint is available in 2kg tins, the number of tins required for painting the house is-
- 15
- 12
- 10
- 20

Answer: a

- Price of food grains have risen by 10 % and of other items of consumption by 15 % . If the ratio of an employee՚s expenditure on food grains and other items is 2: 5, by how much should his salary be increased so that he may maintain the same level of consumption as before, assuming that his present salary is ₹ 3500?
- ₹ 300
- ₹ 350
- ₹ 375
- ₹ 475

Answer: d