# Uttar Pradesh PSC Exam: Numerical Aptitude Questions (Practice_Test 9 of 12)

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- If multiplied a natural number by 18 and another by 21 and added the products. Which one of the following could be the sum?
- 2007
- 2008
- 2006
- 2002

- If a + b 2a + 3b ab, then the value of (3 − 5 + 5 ÷ 3) is
- 10
- 6
- 4
- 2

- A child reshapes a cone make up of clay of height 24 cm and radius 6 cm into a sphere. The radius (in cm) of the sphere is
- 6
- 12
- 24
- 48

- Water flows into a tank which is 200 m long and 150 m wide, through a pipe of crosssection 0.3 m × 0.2 m at 20 km/hour. Then the time (in hours) for the water level in the tank to reach 8 m is
- 50
- 120
- 150
- 200

- The product of two numbers is 2028 and their H. C. F. Is 13. The number of such pairs is
- 1
- 2
- 3
- 4

- Two equal vessels are filled with the mixtures of water and milk in the ratio of 3: 4 and 5: 3 respectively. If the mixtures are poured into a third vessel, the ratio of water and milk in the third vessel will be
- 15: 12
- 53: 59
- 20: 9
- 59: 53

- I am three times as old as my son. 15 years hence, I will be twice as old as my son. The sum of our ages is
- 48 years
- 60 years
- 84 years
- 72 years

- Three bells ring simultaneously at 11 a. m. They ring at regular intervals of 20 minute 30 minutes, 40 minutes respectively. The time when all the three ring together next
- 2 p. m.
- 1 p. m.
- 1.15 p. m.
- 1.30 p. m.

- A and B together can do a work in 12 days. B and together do it in 15 days. If A efficiency is twice that of C, then the day required for B alone to finish the work is
- 50
- 30
- 20
- 15

- A and B can do a work in 12 days, B and C can do the same work in 15 days, C and A can do the same work in 20 days. The time taken by A, B and C to do the same work it
- 5 days
- 10 days
- 15 days
- 20 days