**Abhinay Sharma Maths Solved Question Paper**

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Formulas for Speed, Time and Distance

समय चाल व दुरी सूत्र:

Speed = Distance , Time = Distance , Distance = (Speed x Time). Time Speed km/hr to m/sec conversion:

*x*km/hr =*x*x5 m/sec. 18 m/sec to km/hr conversion:

*x*m/sec =*x*x18 km/hr. 5 If the ratio of the speeds of A and B is

*a*:*b*, then the ratio of:the times taken by then to cover the same distance is 1 : 1 or *b*:*a*.*a**b*Suppose a man covers a certain distance at

*x*km/hr and an equal distance at*y*km/hr. Then,the average speed during the whole journey is 2 *xy*km/hr.

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Time taken by a train of length

*l*metres to pass a pole or standing man or a signal post is equal to the time taken by the train to cover*l*metres.Time taken by a train of length

*l*metres to pass a stationery object of length*b*metres is the time taken by the train to cover (*l*+*b*) metres.Suppose two trains or two objects bodies are moving in the same direction at

*u*m/s and*v*m/s, where*u*>*v*, then their relative speed is = (*u*–*v*) m/s.Suppose two trains or two objects bodies are moving in opposite directions at

*u*m/s and*v*m/s, then their relative speed is = (*u*+*v*) m/s.If two trains of length

*a*metres and*b*metres are moving in opposite directions at*u*m/s and*v*m/s, then:The time taken by the trains to cross each other = ( *a*+*b*)sec. ( *u*+*v*)If two trains of length

*a*metres and*b*metres are moving in the same direction at*u*m/s and*v*m/s, then:The time taken by the faster train to cross the slower train = ( *a*+*b*)sec. ( *u*–*v*)If two trains (or bodies) start at the same time from points A and B towards each other and after crossing they take

*a*and*b*sec in reaching B and A respectively, then:(A’s speed) : (B’s speed) = (b : a)

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## Question Answer

**1. The average of first 50 natural numbers is …………. .**

**3. The number of 3-digit numbers divisible by 6, is ………….. .**

** 5. A clock strikes once at 1 o’clock, twice at 2 o’clock, thrice at 3 o’clock and so on. How many times will it strike in 24 hours?**

**8. The simplest form of 1.5 : 2.5 is …………… .**

**9. 125 gallons of a mixture contains 20% water. What amount of additional water should be added such that water content be raised to 25%?**

^{15}/

_{2}gallons.

^{17}/

_{2}gallons.

^{19}/

_{2}gallons.

^{1}/

_{3}gallons.

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