Abhinay Sharma Maths Solved Question Paper

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Abhinay Sharma Maths 

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 Formulas for Speed, Time and Distance

  1. समय चाल व दुरी सूत्र:

    Speed = Distance , Time = Distance , Distance = (Speed x Time).
    Time Speed

     

  2. km/hr to m/sec conversion:

    x km/hr = x x 5 m/sec.
    18

     

  3. m/sec to km/hr conversion:

    x m/sec = x x 18 km/hr.
    5

     

  4. If the ratio of the speeds of A and B is ab, then the ratio of:

    the times taken by them to cover the same distance is 1 : 1 OR b: a.
    a b

     

  5. 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 2xy km/hr.

 

  • 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 stationary 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 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 metres and b metres are moving in the same direction at u m/s and v m/s, then:

    The time is 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)


Question Answer

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

A. 25.30
B. 25.5
C. 25.00
D. 12.25
B. 25.5 


2. A fraction which bears the same ratio to 1/27 as 3/11 bear to 5/9 is equal to ……….. .
A. 1/55
B. 55
C. 3/11
D. 1/11
A. 1/55 

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

A. 149
B. 166
C. 150
D. 151
C. 150 


4. What is 1004 divided by 2?
A. 52
B. 502
C. 520
D. 5002
B. 502 

 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?

A. 78
B. 136
C. 156
D. 196
C. 156 
6. 106 × 106 – 94 × 94 = ?

A. 2004
B. 2400
C. 1904
D. 1906

  B. 2400 

 

7. Which of the following numbers gives 240 when added to its own square?

A. 15
B. 16
C. 18
D. 20

  A. 15 

 

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

 A. 6: 10
B. 15: 25
C. 0.75: 1.25
D. 3: 5
 D. 3 : 5 
9. 125 gallons of a mixture contains 20% water. What amount of additional water should be added such that water content is raised to 25%?
A. 15/2 gallons.
B. 17/2 gallons.
C. 19/2 gallons.
D. 81/3 gallons.
  D. 81/3 gallons. 
10. Evaluation of 83 × 82 × 8-5 is …………. .

A. 1
B. 0
C. 8
D. None of these.
 A. 1. 

 

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