Practice Questions

Math MCQs

Free sample questions for State Psc. Powered by GetVidyaAI.

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1

A product costs ₹29. What is 14% of its value?

A.35.6
B.38.6
C.40.6
D.43.6

Explanation: 14% of ₹29 = ₹40.6.

2

A sum becomes ₹14,400 in 2 years and ₹17,280 in 3 years at compound interest. Find the rate of interest per annum.

A.10%
B.15%
C.20%
D.25%

Explanation: 17280/14400 = 1.2, so the annual growth factor is 1.2. Hence, rate = 20%.

3

If the ratio of present ages of A and B is 5:7 and after 8 years the ratio becomes 7:9, what is A's present age?

A.20 years
B.25 years
C.30 years
D.35 years

Explanation: Let ages be 5x and 7x. Then (5x+8)/(7x+8)=7/9, giving x=5 and A=25 years.

4

If the ratio of present ages of A and B is 5:7 and after 8 years the ratio becomes 7:9, what is A's present age?

A.20 years
B.25 years
C.30 years
D.35 years

Explanation: Let ages be 5x and 7x. Then (5x+8)/(7x+8)=7/9, giving x=5 and A=25 years.

5

A train travels 360 km at a certain speed. If the speed is increased by 20 km/h, the journey takes 2 hours less. What is the original speed of the train?

A.40 km/h
B.45 km/h
C.60 km/h
D.72 km/h

Explanation: Let original speed be x. Using time difference equation: 360/x - 360/(x+20) = 2 gives x = 60 km/h.

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